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Stells [14]
4 years ago
10

create a linear function f(x), whose graph has the given slope that meets the given condition. slope of -7, f(-5)=2

Mathematics
1 answer:
sergejj [24]4 years ago
8 0
Our goal is to fit the given information into the slope-intercept form.
y=mx+b

We can place the slope in 'm.'
y= -7x+b

Then, input the values for the x and y.
2= -7(-5)+b
2=35+b
b=2-35
b= -33

'b' is the intercept, so now that we know that, we can plug in all the values and find our final equation.

y= -7x -33

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There are 16 ounces in 1 pound, Juan is mailing a package that weighs 96 ounces. He wants
Mazyrski [523]

Answer:

96oz = 6 pounds

Step-by-step explanation:

96 divided by 16 = 6 pounds

5 0
3 years ago
Adult tickets to space amusement parkcost x dollars. Children's tickets cost y dollars. The henson family bought 3 aduly and 1 c
vesna_86 [32]

Answer:

3x + 1y = $163

2x + 3y =$174

Step-by-step explanation:

Adult tickets to space amusement park cost x dollars children’s tickets cost y dollars.

Henson family bought 3 adults and 1 child's tickets for $163

x + y = 163

3x + 1y = 163

The Garcia family bought 2 adults and 3 child’s ticket for $174.

x + y = $174

2x + 3y = $174

Therefore the equations representing both families cost are

Henson family

3x + 1y = $163

Garcia family

2x + 3y = $174

3 0
4 years ago
Answer for -2x-41=5x-6
seraphim [82]

Answer:

x=-5

Step-by-step explanation:

-2x-41=5x-6

-35=7x

-5=x

7 0
3 years ago
Read 2 more answers
Which of the following represents the cosine of 70 degrees
Westkost [7]
Using a calculator:  cos 70 deg = 0.342.  Note:  it sounds as tho' you were given several answer options.  Where are they?

6 0
4 years ago
2. Solve the equation using the quadratic<br> formula.<br> -4x2 + 40x + 16 = 0<br> Page 1 of 2
kumpel [21]

The solution to given quadratic equation is x = -0.3851 or x = 10.3851

<em><u>Solution:</u></em>

Given equation is:

-4x^2 + 40x + 16 = 0

To find: solve by quadratic equation formula

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text{ For} -4x^2 + 40x + 16 = 0 \text{ we have } a = -4 ; b = 40 ; c = 16

<u><em>Substituting the values of a = -4 ; b = 40 ; c = 16 in above quadratic formula we get,</em></u>

\begin{aligned}&x=\frac{-40 \pm \sqrt{40^{2}-4(-4)(16)}}{2 \times-4}\\\\&x=\frac{-40 \pm \sqrt{1600+256}}{-8}\\\\&x=\frac{-40 \pm 43.081}{-8}\\\\&x=\frac{-40+43.081}{-8} \text { or } x=\frac{-40-43.081}{-8}\\\\&x=-0.3851 \text { or } x=10.3851\end{aligned}

Thus the solution to given quadratic equation is x = - 0.3851 or x = 10.3851

8 0
3 years ago
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