Answer:
its A
Step-by-step explanation:
cause 2.5 x 3 is 7.5 and 3500+7.5% is 3762.50
△ABC has vertices at A(-2, 4), B(-1, 1), and C(2, 2). The slope of AB¯¯¯¯¯¯¯¯ is , the slope of BC¯¯¯¯¯¯¯¯ is , and the slope of AC¯¯¯¯¯¯¯¯ is . △ABC a right triangle because
The slope of AB -3
The slope of BC 1/3
The slope of AC -1/2
△ABC a right triangle because two lines are perpendicular shown by a negative reciprocal slope -3 and 1/3
How to determine the slopesThe slope is represented as m, The slope by definition is the ratio change of the output values to the input values
The slope, m using the points A(-2, 4), and B(-1, 1)
m = (y₀ - y₁) / (x₀ - x₁)
m = (4 - 1) / (-2 - -1)
m = (3) / (-1)
m = -3
The slope, m using the points B(-1, 1), and C(2, 2)
m = (1 - 2) / (-1 - 2)
m = (-1) / (-3)
m = 1/3
The slope, m using the points A(-2, 4), and C(2, 2)
m = (4 - 2) / (-2 - 2)
m = (2) / (-4)
m = -1/2
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Can you help me factor and solve x^2-14x-142=22 ?
Step-by-step explanation:
[tex] {x}^{2} - 14x = 164[/tex]
[tex] {x}^{2} - 14x + 49 = 213[/tex]
[tex](x - 7) {}^{2} = 213[/tex]
[tex](x - 7) = \sqrt{213} [/tex]
[tex](x - 7) = - \sqrt{213} [/tex]
[tex]x = 7 + \sqrt{213} [/tex]
[tex]x = 7 - \sqrt{213} [/tex]
Round to the nearest tenth.
The population of Laredo, Texas, was about 215,000 in 2007. It was about 123,000 in 1990. If we assume that the
population growth is constant and y represents the number of years after 1990, write a linear equation to find p,
Laredo's population for any year after 1990.
A linear equation to find p, Laredo's population for any year after 1990 is 5441t + 123000.
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Here, we have
Given:
t = the number of years after 1990.
So, for 1990, t = 0. So the coordinate is (0, 123000).
For 2007, t = 17. So the coordinate is (17, 215500).
Slope = (215500 - 123000)/17
Slope = 5441
P = 5441t + b,
b = 123000
P = 5441t + 123000
Hence, a linear equation to find p, Laredo's population for any year after 1990 is 5441t + 123000.
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I need a answer using the race method (high school level)
and i will make it worth your time
What do you think you could do to show this statement is true?
How could you manipulate this equation to allow you to state this.
Answer:
Step-by-step explanation:
Well, there are the same amount of numbers in each equation. You can take the a from both equations, raise it to the second power, then do the same to the b. The addition sign will automatically disappear because you've added the two components together. You'll use subtraction to get your answer. I think.
8x-4=36
Solve for x please
Answer: x=5
Step-by-step explanation:
isolate x
8x-4+4=36+4
8x=40
x=5
Answer:
x=5
Step-by-step explanation:
You would first want to add 4 to both sides. Then divide 40 and 8 by 8 and you get x=5.
Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.
A has the larger standard devlation.
What is standard devlation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
We are given two plots of normal distributions A and B.
The mean of a normal distribution is located at the center of the plot.
Since the centers of both of the normal distributions A and B seems to be aligned, therefore, they both seems to have equal means.
The standard deviation basically determines the shape of the distribution.
As you can see, the normal distribution A is more spread out and thus has a larger standard deviation than normal distribution B.
Therefore, the two correct options are
• The means of A and B are equal.
• A has larger standard deviation.
Complete question: Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.
Select all that apply:
A has the larger mean.
B has the larger mean.
The means of A and. Q jual.
A has the larger standard devlation.
B has the larger standard deviation.
The standard deviations of A and B are equal.
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Find using Function Notation
Given the f(x) graph below, find the value of each expression.
Find f(0)
Find f(x) = -3
The values of x where f(x) is 0 to determine a function's zeros.
How can determine from a graph that f/x)?The set of all x for which the f(x) graph crosses the x-axis is the solution of f(x) = 0. The set of all x for which the graph of f is strictly above the x-axis is the solution of f(x) > 0
In general, finding the zeros of the function f(x) involves setting the function to zero. The zeroes of the function are the values of x that correspond to the set equation. Find the values of x where f(x) = 0 to determine a function's zeros.
f ( x)=- 3 is a horizontal line that connects to the x-axis, hence there is no x-intercept and the y-intercept is ( 0, -3).
The y-intercept is ( 0, -3)
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4 cars need a new paint job. A body shop offers 15 different colors of paint. All the cars can be painted at the same time. Some cars may have the same color paint. How many possible paint jobs can be done on the 4 cars?
Group of answer choices
a) 15^4
b) P(15, 4)
c) (15-4)!
d) C(15, 4)
The number of possible paint jobs that can be done on the 4 cars can be determined by permutation (15,4). That is option B.
What is permutation?Permutation is defined as the various number of ways a data set can be arranged to arrive at a definite value.
the number of colours offered by the paint shop = 15
The number of cars the need a new paint job = 4
To find the possible number of colour that can be used permutation (15,4) is carried out.
That is,
= 15!/(15-4)!
= 15!/11!
= 15×14×13×12×11×10×9×8×7×6×5×4×3×2×1/11×10×9×8×7×6×5×4×3×2×1
or 15×14×13×12×11!/11!
= 15×14×13×12
= 32,760
Therefore, there would be 32,760 possible paint jobs that can be carried out on the 4 cars.
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Please help this is for a quiz!
A baby weighed only 14.4 ounces at birth. How much lighter was she than an average baby, who weighs about 7lbs 8 ounces?
The baby is 105.6 ounces or 6.96 pounds lighter than an average baby.
What is weight ?Weight is the measurement of Gravitational force on an object. It can be zero as in the space.
We are given in the question that A baby weighed only 14.4 ounces at birth the weight of an average baby is 7lb 8 ounces.
1 lb = 16 ounce
Therefore an average baby weight = 7 x 16 + 8 = 120 ounces
The baby weight is just 14.4 ounces
Hence, the baby is 120 - 14.4 = 105.6 ounces lighter than an average baby.
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CAN SOMEONE HELP WITH THIS QUESTION?✨
The value of P = $7,000,r = 3.2%, n = 4, and money after 7 years will be $8749.6954.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
(A)
As per the given,
Principle amount P = $7,000
Rate of interest r = 3.2%
Number of times interest applied per time period n = 4 (Quarterly)
(B)
Time period T = 7 year
Total amount S(7) = 7,000(1 + 0.032/4)^(4 x 7)
S(7) = $8749.6954
Hence "The value of P = $7,000,r = 3.2%, n = 4, and money after 7 years will be $8749.6954".
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If the monthly payment is $8,750.00 for a 25-year fully amortizing mortgage that has an annual interest rate of 5.50%, what is the initial loan amount? Group of answer choices
Using monthly payment formula, the principal of the facility paying a monthly payment of $8750 for 25 years at a rate of 5.50% is $1,424,878.39
Monthly PaymentThe monthly payment is the amount paid per month to pay off the loan in the time period of the loan. When a loan is taken out it isn't only the principal amount, or the original amount loaned out, that needs to be repaid, but also the interest that accumulates.
The formula to calculate the monthly payment of a facility is;
A = P[(r(1 + r)ⁿ] / [(1 + r)ⁿ - 1]
Monthly payment (MP) = 8750time (t) = 25 yearsRate (r) = 5.50%Principal (P) = ?Number of payment (n) = number of months in a year * time of facilitySubstituting the values into the formula and solving for p
P = $1,424,878.39
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Determine whether each statement implies correlation or causation between two variables. Drag the items on the left to the correct location on the right.
Watching more TV increases the bill for electricity.
Drinking water helps flush out toxins.
Students with high scores in physics also got high scores in chemistry.
A survey shows that people who own a TV also own an automobile.
Vaccination reduces the chance of getting infected by the disease.
Determining whether each statement implies correlation or causation between two variables is as follows:
Correlation:Students with high scores in physics also got high scores in chemistry.A survey shows that people who own a TV also own an automobile.Causation:Watching more TV increases the bill for electricity.Drinking water helps flush out toxins.Vaccination reduces the chance of getting infected by the disease.How is correlation different from causation?Correlation indicates that one independent variable causes another dependent variable to change.
Causation indicates that one dependent variable or event is the direct result of the occurrence of the other event or independent variable.
Causation shows cause and effect - unlike correlation which points out two events simultaneously occur or two variables change at the same time.
Thus, correlation is a test of association in relationship, while causation focuses on cause and effect.
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Ava’s runs at a rate of 15 kilometers per hour. What is Ava’s speed in meters per minute?
Answer:
250 meters per minute.
Step-by-step explanation:
1 km = 1000 m
15 km = 15*1000 = 15000 m
1 hour = 60 min
Then:
15km/h = 15000km/60minutes
= 250 meter per minute
Answer:250 meters / minute
Step-by-step explanation:1 km/h = 16.66667 m/min
Pam bought different drinks for a party she was throwing. After the party, she had the following drink amounts left over.
\dfrac1{2}
2
1
start fraction, 1, divided by, 2, end fraction liter of soda
\dfrac15
5
1
start fraction, 1, divided by, 5, end fraction liter of water
\dfrac8{10}
10
8
start fraction, 8, divided by, 10, end fraction liter of apple juice
Which statement correctly compares the amounts of 2 left over drinks?
Choose 1 answer:
(Choice A)
A
Pam had less water left over than apple juice.
(Choice B)
B
Pam had more soda left over than apple juice.
(Choice C)
C
Pam had less soda left over than water.
Answer:
A) Pam had less water left over than apple juice.
Step-by-step explanation:
Given amounts of drinks left over:
[tex]\dfrac{1}{2}\; \sf liter \;of \;soda[/tex][tex]\dfrac{1}{5}\; \sf liter \;of \;water[/tex][tex]\dfrac{8}{10}\; \sf liter \;of \;apple\;juice[/tex]To compare the amounts of drinks left over, convert the fractions into equivalent fractions that have the same denominator.
The denominators of the three fractions are 2, 5 and 10.
The lowest common multiple of the denominators is 10.
Therefore, rewrite the first two fractions so that their denominators are also 10.
[tex]\textsf{Soda}: \quad \dfrac{1}{2}=\dfrac{1 \cdot 5}{2 \cdot 5}=\dfrac{5}{10}[/tex]
[tex]\textsf{Water}: \quad \dfrac{1}{5}=\dfrac{1 \cdot 2}{5 \cdot 2}=\dfrac{2}{10}[/tex]
Therefore, as:
[tex]\dfrac{2}{10} < \dfrac{5}{10} < \dfrac{8}{10}[/tex]then:
water < soda < apple juiceTherefore, Pam had less water left over than apple juice.
Answer:
a) Pam had less water than apple juice.
★ Water < Soda < Apple juice
Step-by-step explanation:
Converting the fraction into decimals,
→ Soda left = 1/2 = 0.5 litres
→ Water left = 1/5 = 0.2 litres
→ Apple juice left = 8/10 = 0.8 litres
Let's order them in ascending order,
→ 0.2 < 0.5 < 0.8
→ 1/5 < 1/2 < 8/10
→ Water left < Soda left < Apple juice left
Now the applicable options is,
→ Pam had less water than apple juice.
Hence, option (a) is correct answer.
Using the preimage below, find the image coordinates after a dilation by a
scale factor of k = 1/3
a. G'(9, 9), H'(9, 27), J'(36, 9)
b. G'(9, 3), H'(9, 9), J'(36,3)
c. G'(1, 1), H'(1, 3), J'(4, 1)
d. G'(3, 3), H'(3,9), J'(12, 3)
Answer: C
Step-by-step explanation:
HELP ME ASAP!!!!
I NEED THIS ANSWERED RIGHT NOW!!!!!!
Answer: The bisector of [tex]\angle BAC[/tex]
Step-by-step explanation:
This is a standard construction.
Please help me I just look at the photo I am so confused
Answer:
Step-by-step explanation:
1:Pl 2:Th 3:Th 4:P 5:P 6:Pl 7:Pl 8:Th 9:Th 10:Th 11:Pl 12:P
There you go, the numbers go down. So Iowa is 1 and so on, I don't know if they are all right but I did my best.
McKenna was asked to write the following expression in standard form.
When writing the expression in standard form, McKenna made a mistake.
a. McKenna made her first mistake in .
b. The correct expression in standard form is .
3 − 5(3a + 6)
3 − 5(3a + 6)
3 + (−5)(3a + 6)
−2(3a + 6)
−6a + (−12)
−6a − 12
Step 1
Step 2
Step 3
Step 4
a) The step in which McKenna made her first mistake is given as follows: Step 4.
b) The correct simplified expression in standard form is given as follows: -15a - 15.
How to simplify the expression?The expression in this problem is defined as follows:
3 − 5(3a + 6)
On the third step, the expression is given as follows:
3 + (−5)(3a + 6)
And on the fourth step, the expression is given as follows:
−2(3a + 6).
This is where the mistake happened, as the multiplication takes precedence over the subtraction.
Then to obtain the correct expression the first step is applying the distributive property, as follows:
3 − 5(3a + 6) = 3 - 15a - 18.
Then the like terms 3 and -18 are combined to obtain the correct simplified expression, as follows:
3 - 15a - 18 = -15a - 15.
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Hi can you guys please help me create an ppt presentation on excel these are what it should include.
A bar graph
A line graph
A pie chart
Payslip
Table with all the employees names and position.
These should be connected to one topic. All illustration should be connected.
There should also be the meaning of Excel
And you can also add in information if you'd like or fun facts about excel
100/_
You can make a chart in PowerPoint or Excel. If you have lots of data to chart, create your chart in Excel, and then copy it into your presentation. This is also the best way if your data changes regularly and you want your chart to always reflect the latest numbers. In that case, when you copy and paste the chart, keep it linked to the original Excel file.
To create a simple chart from scratch in PowerPoint, click Insert > Chart and pick the chart you want.
1. Click Insert > Chart.
2.Click the chart type and then double-click the chart you want.
3.In the worksheet that appears, replace the placeholder data with your own information.
4.When you insert a chart, small buttons appear next to its upper-right corner. Use the Chart Elements Chart Elements button button to show, hide, or format things like axis titles or data labels. Or use the Chart Styles Customize the Look of Your Chart button button to quickly change the color or style of the chart.
What is excel ?
Excel is a spreadsheet program from Microsoft and a component of its Office product group for business applications. Microsoft Excel enables users to format, organize and calculate data in a spreadsheet.
The main uses of Excel include: Data entry. Data management. Accounting.
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Solve the systems of equations
5x - 4y = -10
-4x + 5y = 8
x =
y =
The solution of the system of equation are;
⇒ x = - 2
⇒ y = 0
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equation are,
⇒ 5x - 4y = - 10
⇒ - 4x + 5y = 8
Now,
Find the solution as;
The system of equation are,
⇒ 5x - 4y = - 10 ..(i)
⇒ - 4x + 5y = 8 ..(ii)
Multiply by 4 in equation (i) + Multiply by 5 in equation (ii);
⇒ 20x - 16y + (- 20x + 25y) = - 40 + 40
⇒ 9y = 0
⇒ y = 0
And, - 4x + 5y = 8
⇒ - 4x + 0 = 8
⇒ x = - 2
Thus, The solution of the system of equation are;
⇒ x = - 2
⇒ y = 0
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Look at photo for problem
Just need chart filled out
4. y=-2(x+2)²-3
Following values can be filled in the table:
(0,-3), (-1,0), (1,-8), (-2,1), (2,-15)
It can be solved using the concept of graph plotting and function.
What is graph?
When a set of points are connected together to form a strcture then the structure is known as graph. The set of ponts is known as ordered pair.
Consider the eqution.
[tex]y=-2(x+2)^2-3[/tex]
Substitute the simplest value x = 0 and find the value of y.
[tex]y=-2(0+2)^2-3\\=-11\\[/tex]
Now, substitute x = -1 and find the value of y.
[tex]y=-2(-1+2)^2-3\\=-5\\[/tex]
Now, substitute x = 1 and find the value of y.
[tex]y=-2(1+2)^2-3\\=-21\\[/tex]
Now, substitute x = -2 and find the value of y.
[tex]y=-2(-2+2)^2-3\\=-3\\[/tex]
Now, substitute x = 2 and find the value of y.
[tex]y=-2(2+2)^2-3\\=-35\\[/tex]
Hence, following values can be filled in the table:
(0,-11), (-1,-5), (1,-21), (-2,-3), (2,-35)
It can be solved using the concept of graph plotting.
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Could someone help me solve this?
Wesley wants to have at least $50 to spend each day of his 7-day vacation. He plans to save
$30 each month for 12 months. Which of the following shows that Wesley will save enough
money for his vacation? Choose all that apply.
A.
Multiply 50 × 7 to get 350 and 30 × 12 to get 360. Since 350 < 360, Wesley will save enough
money for his vacation.
B.
Multiply 50 × 7 to get 350 and 30 × 12 to get 360. Subtract 360 – 350 to get 10. Since 10 > 7,
Wesley will save enough money for his vacation.
C.
Multiply 30 × 12 to get 360. Then divide 360 ÷ 50 to get 7 R10. Wesley will save $10 more
than he needs.
D.
Multiply 30 × 12 to get 360. Then divide 360 ÷ 7 to get 51 R3. Wesley will have $51 for each
day plus $3 left over.
The option that shows that Wesley will save enough money for his vacation is D. Multiply 30 × 12 to get 360. Then divide 360 ÷ 7 to get 51 R3. Wesley will have $51 for each.day plus $3 left over.
Which of the following shows that Wesley will save enough money for his vacation?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this situation, Wesley wants to have at least $50 to spend each day of his 7-day vacation. He plans to save $30 each month for 12 months.
This will be illustrated thus:
(30 × 12) / 7
= 51 R 3
This shows that he'll have enough money. The correct option is D.
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Identify all of the terms in the expression: 4x³ + x² + 3x + 6.
OA 6
OB 4, 3, 6
OC x³, x², x
OD 4x³, x², 3x, 6
Please help me
Answer:
OD 4x³, x², 3x, 6
Step-by-step explanation:
Find sin2x,cos2x, and tan2x if sin x=-3/√13 and x terminates in quadrant IV.
sin2x=
cos2x=
tan2x=
Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin x= -3/√13
So, B = √13 - 9 = √4 =2
cos x= 2/ √13
So, sin 2x= 2 sin x cos x =2 (-3/√13 )(2/√13 ) = -12/√13
and, cos 2x= 1- 2 sin²x
= 1- 2( -3/ √13 )²
= -5/ √13
and, tan 2x = sin 2x/ cos 2x = 5/12
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Factor the expression completely
54a⁶b²+ 9ab²
To factor the expression 54a⁶b²+ 9ab², you can use the fact that a common factor of 54a⁶b² and 9ab² is ab².
Thus, you can rewrite the expression as:
ab²(54a⁶ + 9)
You can then factor the expression inside the parentheses using the fact that 3 is a common factor of both 54 and 9:
ab²(3 * 18a⁶ + 3 * 3)
This can be simplified as:
ab²(6a⁶ + 9)
This expression is completely factored and cannot be further simplified. Therefore, the completely factored form of the expression is:
ab²(6a⁶ + 9)
equations c= 5/9(F-32
When the temperature is 30° in Celsius, the temperature in Fahrenheit is 86.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation to find the temperature,
C= 5/9(F-32) (1)
Here, C represents the temperature in Celsius,
And F represents the temperature in Fahrenheit.
To find the temperature in Fahrenheit, when C = 30°,
Substitute C = 30° in equation (1),
30 = 5/9(F - 32)
6 x 9 = F - 32
54 = F - 32
F = 86
The temperature in Fahrenheit is 86.
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The following data represent the monthly cell phone bill for a person's phone for six randomly selected months.
$35.34, $42.09, $39.43, $38.87, $43.39, $49.26
Compute the mean, median, and mode phone bill. (Round to the nearest cent as needed)
The mean of the data is x(bar) = 41.396
The Median of the data is $40.76
The mode of all the values are appearing once and therefore there is no mode for the phone bill.
Now, According to the question:
Given the data:
$35.34, $42.09, $39.43, $38.87, $43.39, $49.26
Mean is the average of the data computed as x(bar) = Σ[tex]x_i[/tex] /n where [tex]x_i[/tex]
are the data points and n is the number of data points
x(bar) = 35.34 + 42.09 + 39.43 +38.87 +43.39 + 49.26 / 6
x(bar) = 248.38 /6
x(bar) = 41.396
The median is the data point that lies in the middle of the data set when the data is arranged in ascending or descending order.
Thus,
Ascending order:
$35.34, $38.87, $39.43, $42.09, $43.39, $49.26
The median lies between $39.43 and $42.09 and to get it, we find the average of the two numbers
Median = (39.43 + 42.09)/ 2
Median = $40.76
→ Mode is the value in a data set that is repeated most frequently. In the given data, all the values are appearing once and therefore there is no mode for the phone bill.
Hence, The mean of the data is x(bar) = 41.396
The Median of the data is $40.76
The mode of all the values are appearing once and therefore there is no mode for the phone bill.
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"Find the slope of the line that passes through all of the points
Find the stope of the line that passes through all of the points on the table."
By using the formula for slope, it can be calculated that
The slope of the given line is 10
What is slope of a line?
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan \theta[/tex]
If the line passes through [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], slope is calculated by the formula
Slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here, the line passes through (2, 3) and (3, 13)
Slope = [tex]\frac{13 - 3}{3-2}[/tex]
Slope = 10
So the slope of the given line is 10
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what values make the inequality b≤-6b≤−6 true
The values which are less than -7 on the number line makes the value true.
b≤-6
-7≤-6
-9≤-6
-256≤-6
only in the case where b = -6 satisfy only equality condition not less than condition. Other than this remaining other values which are less than -7 on the number line including rational numbers , decimal numbers, all negative numbers which are less than -6 satisfy.
The values which are less than -7 on the number line makes the value true
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Question what makes the value Inequality b≤-6 is true for what values of b?