question 5. Write an equation of the line that passes through the points (-2, -6) and (4, 6).
Answer in slope-intercept form
Answer:
y=2x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-(-6))/(4-(-2))
m=(6+6)/(4+2)
m=12/6
m=2
y-y1=m(x-x1)
y-(-6)=2(x-(-2))
y+6=2(x+2)
y=2x+4-6
y=2x-2
Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.
ab? that goes through points (0,2)
Write an exponential function in the form y
and (4, 1250).
Answer:
y = 2·5^x
Step-by-step explanation:
Using the given points, we can solve for 'a' and 'b'.
y = ab^x
2 = ab^0 = a . . . . . substitute (0, 2) for (x, y)
__
1250 = 2·b^4 . . . . substitute for 'a' and (4, 1250) for (x, y)
625 = b^4 . . . . divide by 2
5 = b . . . . . . . take the 4th root
The function is ...
y = 2·5^x
____
Additional comment
There are two real and two imaginary 4th roots of 625. Only the positive real root is useful as the base in an exponential function like this.
Graph the solution to this system of linear inequalities, and describe the meaning of the intersection of all 3 inequalities. HELP ASAP PLEASE!!!
Answer:
Step-by-step explanation:
Coordinates ( x, y ) from "red area" satisfy all three inequality.
Please help on both. I’m not sure of my answrs before I submit. Thank u :)
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
B,D,E
Step-by-step explanation:
On September 1, you own 12.5 shares of stock that are worth $149.87. On
December 1, the shares are worth $94.87. What was the change in the price per
share of stock?
The required change in the price of the share of stock is $4.4.
Given that,
On September 1, you own 12.5 shares of stock that are worth $149.87. On December 1, the shares are worth $94.87, and the change in the price per share of stock is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Initial total cost shares of stock = $149.87
A total number of shares = 12.5
The initial cost of single share = 149.87/ 12.5 = $11.98
Now final cost of the total share = $94.87
The final cost of the single share is = 94.87 / 12.5 = $7.58
Change in price of shares of stock = 11.98 - 7.58 = $4.4
Thus, the required change in the price of the share of stock is $4.4.
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Carson rides his bike for 30 mins each day he rides a total of 12 miles every 3 days how many days will it take to ride a total of 80 miles
Answer:
20 days
Step-by-step explanation:
If he rides 12 miles every 3 days, then he rides 4 miles in one day. Divide 80 / 4 and you get 20 days.
Find the slope of a line parallel to each given line.
y = x - 1
Answer:
1
Step-by-step explanation:
First, you should put the equation in slope intercept form (y = mx + b), where m is the slope. A parallel line will have the same slope so if 1x is your slope for the first equation, 1 should also be the slope for the 2nd equation
100
O () = 97 +18
or()- +2
x= +
OF (x) = 97 +2
F(x) = -27 + -
10
Answer:
9x+2
Step-by-step explanation:
the inverse of the function is the opposite. 1/9 becomes 9 and negative 2 becomes positive 2
Answer:
first option
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = [tex]\frac{1}{9}[/tex] x - 2 ( add 2 to both sides )
y + 2 = [tex]\frac{1}{9}[/tex] x ( multiply through by 9 to clear the fraction )
9y + 18 = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 9x + 18
what is the x value of the solution to the system of equations below
x+y+z=8
x+2y=6
y+z=4
Answer:
Let's solve for x.
x+y+z=8
Step 1: Add -y to both sides.
x+y+z+−y=8+−y
x+z=−y+8
Step 2: Add -z to both sides.
x+z+−z=−y+8+−z
x=−y−z+8
Answer:
x=−y−z+8
Which correlation coefficient best matches the graph?
Answer:
Which graph?
Step-by-step explanation:
Answer:
where is the graph
Step-by-step explanation:
umm i dont know how to answer
yesterday 5% of the 120 sixth graders at school were late. How many sixth graders were late?
Answer:
6
Step-by-step explanation:
5% of 120 were late
= [tex]\frac{5}{100}[/tex] × 120
= 0.05 × 120
= 6
Kim's scores in the diving competition were 7.2, 6.975, 8.0, and 6.96. What is her total score?
Write the inequality represented by the graph below.
Answer:
y > -x + 3
Step-by-step explanation:
find the slope and y-intercept so you can create a linear equation:
y = mx + b ; m = slope and b = y-intercept
slope (m) = (3-0) / (0-3)
m = 3/-3 or -1
we can see the y-intercept by looking at the graph, it is 3
y > -x + 3
PLZ HELP!!!!!!!!
Function 1 is defined by the equation y=-1/4r-5 Function 2 is defined by line p.shown on the following graph. Which function has a more negative slope?
A. Function 1
B. Function 2
C. The functions have the same slope.
Answer:
Function 1
Step-by-step explanation:
I got it correct on khan academy
The function defined on the graph by the equation y = (-1/4)r -5 and line p has slope which is represented by option C. The functions have same slope.
Let the two coordinate on the line p of the function 2 on the graph.
( x₁ , y₁ ) = (-4, -6)
(x₂ , y₂ ) = ( 4 ,-8 )
Slope of the line = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substitute the value in the formula we get,
Slope of line p = ( -8 + 6 ) / ( 4 + 4 )
= -2/8
= -1/4
Slope of the function 1
y = -(1/4)r -5
When r = 8 ⇒ y = -7
r = -8 ⇒ y = -3
( x₁ , y₁ ) = (8, -7)
(x₂ , y₂ ) = ( -8 ,-3 )
Slope of the function 1 = ( -3 + 7 ) / ( -8 - 8 )
= 4/ -16
= -1/4
Therefore, slope of the both the function 1 and function 2 represented by line p are given by option C. the functions have same slope.
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An old coin is sold for $2 and its value increases by 8% each year after it is sold. What is the value of the coin, in dollars, in 10 years
Interest be I
[tex]\\ \sf\Rrightarrow I=\dfrac{PRT}{100}[/tex]
[tex]\\ \sf\Rrightarrow I=\dfrac{2(8)(10)}{100}[/tex]
[tex]\\ \sf\Rrightarrow I=\dfrac{280}{100}[/tex]
[tex]\\ \sf\Rrightarrow I=2.8\$[/tex]
Now
Value of coin after 10years =2+2.8=4.8$
The shape on the left is transformed on the right.Which of the statements describes the transformation.
Answer:
yall werid
Step-by-step explanation:
xº
520
38°
220°
X = degrees
by taking complete angle
52+38+220+x=360
310+x=360
x=360-310
x=50
The ratio of cats to dogs seen at CyFair Animal Hospital is 2 to 5. If Dr. Blue, Dr. Ross, and Dr. Lavigne see 40 dogs altogether, how many cats AND dogs did they see in all? Explain your answer.
Please
The number of cats and dogs the doctor saw is 56.
Ratio expresses the relationship between two values. It shows the frequency that one value is contained another value. The sign of ratio is :.
The equation that can be used to determine the total number of dogs that the doctor saw is:
(ratio of dog / total number of dogs and cats) x total number of animals = number of dogs
5/7 x a = 40
Where a is the total number of dogs and cats
In order to determine the value of a, divide both sides of the equation by 7/5.
40 x 7/5 = 56
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Help me with this one please
Translate. Eight less than the difference of a number and five is twelve.
Answer:
(x - 5) - 8 = 12
Step-by-step explanation:
Lets portion each part out:
Eight less than
The difference of a number and five
Is twelve.
First, we must write down the portion with "a number" in it: x - 5. We use subtraction because the sentence states "the difference".
Next, we will write down "eight less than". The problem states that twelve is "eight less than" the difference. This means that we must subtract 8 from out first part: (x - 5) - 8
Finally, the sentence tells us that this equals twelve: (x - 5) - 8 = 12
Josephina lives on a farm with 3 sheep, 2 goats, 11 chickens, and 5 cows. She is going to randomly select an animal to take to the stock show. What is the probability of randomly selecting a cow or a goat
Answer:
7/21 or 1/3
Step-by-step explanation:
Adding all the animals together, we get 21. Then we add just the cows and the goats and get 7. Then we do 7/21 = 1/3 simplified
In two or three sentences, summarize what the essay suggests could help women succeed in
business. How does the summary help you identify Sandberg's message, audience, and
purpose?
The essay suggests women first need to end with internal barriers to succeed in business and this will later destroy external barriers. This helps identify the author's main message, audience, and purpose because it shows the main idea of the essay.
Lean In is an essay by Sheryl Sandberg about gender inequality and the way this inequality has prevented women from being successful and represented in specific areas including government and business.
About business, Sandberg suggests women are quite limited if compared to men due to sexism, sexual harassment, and even internal barriers women create. To stop this situation the author proposes women need to destroy internal barriers such as:
Believing they should do most of the housework and childcare-Believing they cannot be as successful as other women.Holding themselves due to unequal conditions.Moreover, this idea helps identify other elements of the text by stating the main purpose.
Main message: Women need to destroy mental and internal barriers.Audience: Women.Purpose: To inspire women to end inequality.Note: This question is incomplete because the text it refers to it is not given; here is the information about the text.
"Lean In: Women, work, and the will to lead" by Sheryl Sandberg.
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Tria had one each of five different-shaped number solids having 4, 6, 8, 12, and 20 sides. She rolled two at a time and found probabilities for the sum of the numbers that came up. She recorded the probabilities in the first column of the table. When it came time to fill in the second column, she had forgotten which number solids she had used. Figure out which number solids she must have used and explain your thinking. The first one has been done.
She found out that the probability of 4 is lesser than 5, which combinations did she use?
Answer:The probability of a 3 is 2/80 or 1/40
The probability of a 4 is less than the probability of a 5
Step-by-step explanation:
An item is regularly priced at $35. It is now priced at a discount of 55% off the regular price. What is the new price?
if you have 55 bad kids in classroom and 25 good kids how many bad have solve the equation
Answer:
none of them bc they're all bad kids
Step-by-step explanation:
Help please and thank you.
Answer:
b
Step-by-step explanation:
solve the equation 1 = u over 2
Answer:
u = 2, as we multiply both sides by the denominator (2).
How do I find the function of a graph given?
Answer:
Explanation
Step-by-step explanation:
Well, to find a function of a given graph, you would need m, its slope, and b, its y-intercept. After you've done that, place the function in the format of f(x) or y = mx + b.
Find the slope using the formula y2-y1/x2-x1 or rise/run
Find the y-intercept by looking for the point that touched with the y-axis.
The assessed value of a certain house is Rs.15 000. If the the relevant council institutions charges 5℅ of the value of the house as rates,calculate the rates that have to paid for year.
Answer:
15000×5/100=100/100x
150×5=x
750=x
Assessed value that you have to pay for a year is Rs.750.00
Step-by-step explanation:
Have a great day!