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3 years ago

The output of a function is 10 more than 4 times the input. find the input when the output is -26

Mathematics

1 answer:

GarryVolchara [31]3 years ago

8 0

-9 because-26 minus 10 is -36 and -36 divided by 4 is -9

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Answer if u love cats & dogs

eimsori [14]

Answer:

(7, 5.25) lies on the graph.

Step-by-step explanation:

We are given the following values

x = 4, 6, 8, 12 and corresponding y values are:

y = 3, 4.5, 6, 9

Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.

Equation of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given as:

$y=mx+c$

where m is the slope.

(x,y) are the coordinates from where the line passes.

c is the y intercept.

Here,

$x_{1} = 4\\x_{2} = 6\\y_{1} = 3\\y_{2} = 4.5$

Formula for slope is:

$m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \dfrac{4.5-3}{6-4}\\\Rightarrow m = \dfrac{1.5}{2}\\\Rightarrow m = \dfrac{3}{4}$

Now, the equation of line becomes:

$y=\dfrac{3}{4}x+c$

Putting the point (4,3) in the above equation to find c:

$3=\dfrac{3}{4}\times 4+c\\\Rightarrow 3=3+c\\\Rightarrow c =0$

So, final equation of given function is:

$y=\dfrac{3}{4}x$

$4y=3x$

As per the given options, the point (7, 5.25) satisfies the equation.

So correct answer is $(7, 5.25)$ .

6 0

3 years ago

Determine if the two figures are congruent and explain your answer using transformations.

san4es73 [151]

Hello,

In the picture, i have draw one translation $\vec{t}$

and a line symmetry $s_d$

You have just to follow the colors.

7 0

3 years ago

John has a map that shows a rectangular park 1 1/4 cm : 8 yd. on the map, the width of the park is 2 1/2 cm. What is the parks a

Ber [7]

Answer:

16 yd. This is the park's actual length.

Step-by-step explanation:

Write and solve an equation of ratios:

1 1/4 cm 8 yd

------------ = -----------

2 1/2 cm x

Note that 2(1 1/4 cm) = 2 1/2 cm, so the above equation becomes:

1 8 yd

----- = ---------

2 x

Solving for x, we get x = 16 yd. This is the park's actual length.

3 0

3 years ago

7b³-9b=10 whats the answer for this

Svet_ta [14]

Answer:

B just took it :)

Step-by-step explanation:

6 0

3 years ago

The total amount spent by some number of people on clothing and footwear In the years 2000-2009 can be modeled by the quadratic

FinnZ [79.3K]

For this problem, we are given a quadratic equation that models the total amount spent on clothing and footwear in the years 2000-2009. We need to use the model to determine the maximum amount spent during the period.

The equation is shown below:

$f(x)=-4.462x^2+71.54x+97.44$

Since the leading term is negative, the vertex of this function will represent an absolute maximum value. Therefore we can determine the vertex to answer the problem, the vertex's coordinates are given below:

$\begin{gathered} x_{max}=\frac{-b}{2a}\\ \\ y_{max}=f(x_{max}) \end{gathered}$

Then we have:

$\begin{gathered} x_{max}=\frac{-71.54}{2\cdot(-4.462)}=8.017\\ \\ y_{max}=-4.462\cdot(8.017)^2+71.54\cdot(8.017)+97.44=384.2 \end{gathered}$

In the year 2008, 384 billion was spent on clothing and footwear.

4 0

1 year ago