Find the value of y.
M
51
12y+7
L
Q
51
43
P

Answer:

-1/2

Step-by-step explanation:

Ignore the (2,2) just use (-2,1) and (-4,2)

Answer:

D

Step-by-step explanation:

discriminant = 9 - 4(10 * 3)

9 - 4 * 30

9 - 120 = -111

Is negative so the equation has two complex solutions

The variable y vary directly with respect to x , and the equation to denote this direct variation is y = 1.375 x .

From the table we can see that the values of x are 8 for the y value of 11

Any direct variation is represented by the equation :

y = k x , where k is a constant

now we put the values of x and y in the equation to calculate k

11 = k × 8

or, k = 11 / 8 = 1.375

again , at x = 16 , y is 22

∴ k = 22/16 = 1.375

Hence the equation for direct variation will  be given by

y = kx

or, y = 1.375 x

When one quantity changes directly in reaction to a change in another quantity, this is a type of proportionality known as "direct variation." This implies that if one quantity rises, the other will rise correspondingly as well.

Like in the previous illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.

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Exponential equation S is 40,000(1.04)^8, and Salary after 8 years: S is $64,735.20.

An exponential equation is an equation that contains a variable in the form of an exponent. It is used to solve problems involving exponential growth and decay. The equation has the form y = a × b^x, where "a" is the initial value, "b" is the base of the exponent, and "x" is the exponent. This equation can be used to find the value of y, given a value for x. Exponential equations are commonly used in fields such as mathematics, physics, economics, and biology.

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Answer:

f(-8) = 31

Step-by-step explanation:

f(-8) = -3(-8) + 7

      = 24 + 7

      = 31

If you were serving a metric standard 750 ml bottle of champagne to 6 people equally, you would need to pour 4.2 fl oz to each one of them to get 6 equal serving.

A bottle of champagne with a metric unit of volume of 750 ml divided equally among 6 people will give each of them a 125 ml serving of champagne by volume.

750/6=125

Converting metric system to imperial unit of volume of US fluid ounce, with 1 fl oz = 29.57 ml, you will get:

125/29.57=4.23

Hence you will be pouring each one of them 4.2 fl oz serving of champagne.

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x = 14.8 (OR) x = 74/5.

Step-by-step explanation:

If you add 5 times a number to 6 you will get 80.

We don't know what number is multiplied with five and that number should added with 6. So,

Let, the unknown number be named as x.

The eqⁿ will be

[tex]{ \red{ \sf{5}}}{ \green{ \sf{x}}} \: + \: { \red{ \sf{6}}} = { \red{ \sf{80}}} → Eqⁿ(1) [/tex]

Shift 6 to the right side.

[tex]{ \red{ \sf{5}}}{ \green{ \sf{x}}} = { \red{ \sf{80 - 6}}}[/tex]

[tex]{ \red{ \sf{5}}}{ \green{ \sf{x}}} = { \red{ \sf{74}}}[/tex]

Divide both the sides by 5. then,

[tex]{ \red{ \sf { \cancel{\frac{5}{5}}}}} { \green{ \sf{x}}} = {{ \frac{ \cancel{74} {}^{ \green{ \sf{{ 14.8}}}} }{ \cancel5}}} [/tex]

[tex]{ \red{ \boxed{ \purple{ \sf{x = 14.8}}}}} \: { \tt{(or)}} \: { \red{ \boxed{ \purple{ \sf{x = \frac{74}{5}}}}}} [/tex]

___________________________________

[tex]{ \red{ \sf{ \underline{verification}}}} [/tex]

Let us substitute the value of x in Eqⁿ(1) then,

[tex]{ \red{ \sf{5}}}{ \green{ \sf{(14.8)}}} \: + \: { \red{ \sf{6}}} = { \red{ \sf{80}}} [/tex]

[tex]{ \red{ \sf{74}}} \: + \: { \red{ \sf{6}}} = { \red{ \sf{80}}} [/tex]

[tex]{ \red{ \sf{80}}} = { \red{ \sf{80}}} [/tex]

Hence, our answer is correct

Answer:

by knowing the sum of the shape represented

Answer:

A = Research question

B = Hypothesis

C = Analysis of data

D = Reflecting on the results

Step-by-step explanation:

Im 85% sure

a = amount invested at 8%

how much is 8% of "a"? (8/100) * "a", namely 0.08a.

b = amount invested at 6%

how much is 6% of "b"? (6/100) * "b", namely 0.06b.

we know the total amount invested is 210000, so whatever "a" and "b" might be, we know that a + b = 210000.

we also know that the yielded amount in interest is the same for both, so whatever 0.08a and 0.06b are, we know they're the same.

[tex]\begin{cases} a+b=210000\\\\ 0.08a=0.06b \end{cases}\hspace{5em}a+b=210000\implies b=210000-a \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.08a~~ = ~~0.06(210000-a)}\implies 0.08a=12600-0.06a\implies 0.14a=12600 \\\\\\ a=\cfrac{12600}{0.14}\implies \boxed{a=90000}\hspace{9em}\boxed{\stackrel{210000~~ - ~~90000}{b=120000}}[/tex]

The vertices have been shifted toward the left by 1 unit and also 3 units up to form the image F'I'S'H'.

What is graph transformation?

Graph stretching

Observing each of the vertices of the square, we can say that the vertices have been shifted toward the left by 1 unit and also 3 units up to form the image F'I'S'H'. So, the transformation involved in moving the preimage FISH to form F'I'S'H' the image is translation.

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The total attendance for Lincoln school for month of March is 7308.

What is average attendance?

Divided by the total number of days in the ordinary school year, is the total number of days that students were present. One ADA(Avg. Daily attendance) would be the number of students who attend every day. The number of kids enrolled in each school and district, known as enrollment, is not the same as ADA.

Main Body:

So according to formula ,

Average daily attendance = Total attendance / total days of school

348 = total attendance/ 21

total attendance = 348* 21

                            = 7308

Hence total attendance is 7308.

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The value of x = 41.02°

The ratios of lengths of a right-angled triangle's sides are known as trigonometric ratios. These trigonometric ratios connect the ratio of a right triangle's sides to each angle.

sin = (Opposite side/ Hypotenuse)

cos = (Adjacent side/ Hypotenuse)

tan = (Opposite side/ Adjacent side)

Here we have

A plane is 141 m north and 162 m east of an airport.  

x is an angle that the pilot should turn in order to fly directly to the airport.

[ The picture that can represent the above information is given below ]  

From given figure

ABC is a right-angled triangle with a right angle at A          

As we know from trigonometric ratios

Tan θ = Opposite side/Adjacent side  

⇒ Tan x = 141/162

⇒ Tan x = 141/162    

⇒ Tan x = 47/54      

⇒ Tan x = 0.870  

⇒ x = Tan⁻'(0.870)  

⇒ x = 41.02°  

Therefore,

The value of x = 41.02°

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P (or Q) and mark an arc roughly where M's reflection across AB is located.

One tool for drawing circles is a compass. According to the circle's radius, which is drawn with a compass, the sizes of the circles vary.

A compass's handle is held in place by our thumb and forefinger. A circle is typically drawn using just one hand. Between the forefinger and thumb, the compass is turned.

Around this point, the pencil tip is rotated. The circle's radius is determined by the distance between the pencil tip and the compass needle. A ruler is used to set it. The gap can be adjusted by adjusting the angle between the compass's arms.

At that point of reflection (M'), arcs drawn from P and Q in M's approximate location across AB will intersect. As desired, the line passing through point M and perpendicular to AB will connect M and M'.

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The statement that best describes the rate of change of the linear function is given as follows:

For each increase of 1ºF in temperature, the average weight of the strawberries decays by 7/3 grams.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

The coefficients are listed as follows:

The input and the output variables for this problem are given as follows:

The function is defined as follows:

y = -7x/3 + 72.75.

Hence the slope is:

m = -7/3.

And the interpretation, considering the input and output variables, is that for each increase of 1ºF in temperature, which is the input variable, the average weight of the strawberries, which is the output variable, decays by 7/3 grams.

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Answer:

YT= 23

We know that:

line RU is 32 and US is 16

line RY is 46

In other words, RU = 32, US = 16, and RY = 46

so we use the triangle proportionality theorem to state that:

[tex]\frac{RU}{US}=\frac{RY}{YT}[/tex]

Input your values

[tex]\frac{32}{16} =\frac{46}{YT}[/tex]

Use cross products :

[tex]32YT=(16)(46)[/tex]

Simplify:

[tex]32YT=736[/tex]

[tex]\frac{32YT}{32} =\frac{736}{32}[/tex]

[tex]YT=23[/tex]

I hope this answers you question :)

Answer:

No, the cube will not fit on the shelf because it is too big. The shelf is only 4 feet wide, but the cube is 27 cubic feet, which is much bigger.

Answer:

Step-by-step explanation:

Since the two angles of both triangles are congruent, it makes the remaining angles congruent too:

Then we have:

So both C and F are 30°.

For any given graph when "a" is a number between zero and one then graph of the function get horizontal stretch.

And when "a" is a number greater than one then graph of a function get horizontal compress.

As given in the question,

For any graph of a function,

When "a" is a number between zero and one than the graph of the function get horizontal stretch.

f(x) = ax²

let a = 1/2 , 0 < 1/2 < 1 so satisfied the condition of "a" between zero and one.

f(x) = x²/2

In this case , graph of the given function get horizontal stretch compare to original graph.

When a = 2 , 2 > 1 satisfied the condition of "a" greater than one.

f(x) = 2x²

In this case , graph of the given function get horizontal compress compare to original graph.

Therefore, for any given graph when "a" is a number between zero and one then graph of the function get horizontal stretch.

And when "a" is a number greater than one then graph of a function get horizontal compress.

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Answer:

vertex = (- 1, - 4 )

Step-by-step explanation:

the equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = 3(x + 1)² - 4 ← is in vertex form

with vertex = (- 1, - 4 )

Answer:

(−1,−4)

Step-by-step explanation:

f(x)=3(x+1)2−4

The value of the fraction -34/87 to the lowest term is still -34/87 as there's no common factor.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split.

To reduce to lowest term, divide the numerator and denominator by the greatest common factor to reduce a fraction to its simplest terms.

The steps involved are:

In this case, there is no common factor and the value is still the same as -34/87.

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- Solution for 33 is what percent of 132:

- Percentage solution with steps:

Step 1: We make the assumption that 132 is 100% since it is our output value.

Step 2: We next represent the value we seek with "x".

Step 3: From step 1, it follows that 100%=132

Step 4: In the same vein, x%=33

Step 5: This gives us a pair of simple equations:

100%=132(1)

x%=33(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left-hand side) of both equations have the same unit (%); we have

100%/x% = 132/33

Step 7: Taking the inverse (or reciprocal) of both sides yields

x%/100%=33/132

x=25%

Therefore, 33 is 25% of 132

Answer:

Step-by-step explanation:

That's a lot of exclamation marks  :DDDDD  

Rate of change,   Δ  often said as  "delta"   or also known as slope of a line. Rate of change is much easier when it's a line

it's just the slope of the line.

I see that the line in the picture... so the graph of the line.... is going down 1 after it goes over 4... so rate of change is rise over run..

-1 / 4

see how I got that?

so B) looks good

The standard deviation of the number of residents in the sample who were born in Colorado is 7.82

Standard deviation:

The measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists is know as standard deviation.

Given,

According to 2015 census data, 42.7 percent of Colorado residents were born in Colorado. if a sample of 250 Colorado residents is selected at random.

Here we need to find the standard deviation of the number of residents in the sample who were born in Colorado.

Here we know that following details,

Number of sample = 250

Estimated proportion for residents born in Colorado = 42.7% which is equal to = 0.427.

Let us consider X be the random variable of interest (number of residents in the sample), on this case we now that:  

X ~ (n = 250, p = 0.427)

Now, according to the probability mass function for the Binomial distribution is given as:  

E(X) = n x p = 250 x 0.427 = 106. 75.

Now, the standard deviation for the random variable is given by:

SD = √106.75 (1 - 0.427)

SD = √106.75(0.563)

SD = 7.82

Therefore, the standard deviation is 7.82.

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The equations 2.3p - 101 = 6.49p -4 and 23p - 101 = 65p - 40 - p are the equation that has the same solution:

The given equation is:

2.3p - 10.1 = 6.5p - 4 - 0.1p

The first option is:

2.3p - 10.1 = 6.4p - 4

which is equal to the given equation.

The second option:

230p - 1010 = 650p - 400 - p

which is not equal to the given equation

The third option:

23p - 101 = 65p - 40 - p

which is equal to the given option.

The last option:

2.3p - 14.1 = 6.4p -4

which is not equal to the given option.

Therefore equations 2.3p - 10.1 = 6.4p - 4 and 23p - 101 = 65p - 40 -p are the correct option.

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The slope of this line, and what it represent is: The slope is 30, and it represents the increase in temperature, in degrees Fahrenheit, each minute the oven is on.

Mathematically, the standard form of the equation of a line can be calculated by using this equation:

y = mx + c          .......equation 1.

Where:

From the information provided, we have the following equation of line:

F = 30t + 70      ..........equation 2.

Comparing equation 1 and equation 2, we have:

Slope, m = 30, which is the increase in temperature of the oven in degrees Fahrenheit.

y-intercept, c = 70, which also represents the initial temperature of the oven in degrees Fahrenheit.

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Complete Question:

The table below shows the temperature of an oven, in degrees Fahrenheit, t minutes after it is turned on. An equation for a line of best fit for these data is F = 30t + 70. What is the slope of this line, and what does it represent?

answer choices

The slope is 30, and it represents the initial temperature, in degrees Fahrenheit, of the oven.

The slope is 70, and it represents the initial temperature, in degrees Fahrenheit, of the oven.

The slope is 30, and it represents the increase in temperature, in degrees Fahrenheit, each minute the oven is on.

The slope is 70, and it represents the increase in temperature, in degrees Fahrenheit, each minute the oven is on.

Answer:

i don't understand

Step-by-step explanation:

the question is 11 divided 2and2over 3

[tex]=\frac{x^{3}(4x^{2} -25) }{2x-5} \\=\frac{x^{3} (2x+5)(2x-5)}{2x-5} \\=x^{3} (2x+5)\\=2x^{4}+5x^{3}[/tex]

⇒Note there was a 2x-5 in the numerator and a 2x-5 in the denominator so they canceled each other. Leaving the above expression.

The speed of the winner based on the information is 368.24 mile per minutes

It should be noted that speed is calculated as the distance divided by the time given.

The following can be deduced from the information given:.

Distance = 6076 feet/nautical mile.

Time =16.5 minutes.

Speed = Distance / Time

Speed = 6076 / 16.5

Speed = 368.24 mile per minutes

The speed is 368.24 mile per minutes.

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