All categories

3 years ago

Describe the transformations from parent function to y = -3x + 4

Mathematics

1 answer:

mel-nik [20]3 years ago

5 0

Answer:

A slope of -3 and a y-intercept of 4

Step-by-step explanation:

In y = -3x + 4, -3 is negative, meaning that the line faces down. 4 is positive and is the y-intercept, meaning that it is 4 points above the origin (0, 0). -3 also means that for every 1 point that the x coordinate is moved, the line will go down 3 points. For example, (1, 3) is on the line and so is (2, 6).

You might be interested in

Six times the sum of a number and four is -12. Find the number and show work.

Alina [70]

Answer:

<em>The number is -6.</em>

Step-by-step explanation:

Let x = the unknown number

"the sum of a number and four" = n + 4

"Six times the sum of a number and four" = 6(n + 4)

"Six times the sum of a number and four is -12." is the equation

6(n + 4) = -12

Divide both sides by 6.

n + 4 = -2

Subtract 4 from both sides.

n = -6

6 0

3 years ago

Maya makes trail mix by combining 1/3 cup of mixed nuts, 1/4 cup of dried fruit, 1/6 cup of chocolate morsels. What is the total

Vaselesa [24]

Answer:

The total amount of trial mix made by Maya is $\frac{9}{12}\ \ \ Or\ \frac{3}{4}$ .

Step-by-step explanation:

Given,

Amount of mixed nuts = $\frac{1}{3}\ cup$

Amount of dry fruits = $\frac{1}{4}\ cup$

Amount of chocolate morsels = $\frac{1}{6}\ cup$

We have to find out the total amount of trial mix made by Maya.

Solution,

Total amount of trial mix is the sum of amount of mixed nuts, amount of dried fruit and amount of chocolate morsels.

So we can frame the above sentence in equation form as;

Total amount of trial mix = Amount of mixed nuts + Amount of dry fruits + Amount of chocolate morsels

On putting the given values, we get;

Total amount of trial mix = $\frac{1}{3}+\frac{1}{4}+\frac{1}{6}$

Here we have to add the fractions.

For this we will make the denominator same.

Total amount of trial mix = $\frac{1\times4}{3\times4}+\frac{1\times3}{4\times3}+\frac{1\times2}{6\times2}=\frac{4}{12}+\frac{3}{12}+\frac{2}{12}=\frac{9}{12}\ \ \ Or\ \frac{3}{4}$

Hence The total amount of trial mix made by Maya is $\frac{9}{12}\ \ \ Or\ \frac{3}{4}$ .

8 0

3 years ago

If angle 5 measures 150 degrees, what is the measure of angle 6?

sesenic [268]

Answer:

A. 30 degrees

Step-by-step explanation:

side by side angles on a flat line have to equal 180 degrees. if angle 5 = 150 degrees, 180 - 150 = 30 degrees.

5 0

3 years ago

Read 2 more answers

Consider the multivariable function f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}f ( x , y , z ) = x 3 −

Lelu [443]

Answer:

$f\left(2,3,1\right)=\bold{14}$

Step-by-step explanation:

Given the function:

$f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}$

To find:

The value of $f(2, 3, 1)$ = ?

Solution:

$f(2, 3, 1)$ means the values of $x, y\ and\ z$ as:

$x=2\\y=3\\z=1$

Let us put the given values in the given function and let us solve for it:

$\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}$

Therefore, the answer is:

$f\left(2,3,1\right)=\bold{14}$

8 0

3 years ago

7th ratios and proportionality escape room answers help

andriy [413]

What is the question?

4 0

3 years ago

Read 2 more answers