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ratelena [41]
2 years ago
12

Let F(x)=-

{4}{5} x+10" align="absmiddle" class="latex-formula">. Find each value. Simplify the answer as much as possible.
a. f(-5)=
b.f(0)=
c.f(5/2)=
d.f(5a)=
e.f(5a-15)=
PLEASE ANSWER AS SOON AS POSSIBLE AS WELL AS THE OTHER QUESTIONS LIKE THIS IM POSTING SOON. GIVEN LOTS OF POINTS.
Mathematics
1 answer:
Reptile [31]2 years ago
7 0

The numeric values for the function are given as follows:

a) f(-5) = 14.

b) f(0) = 10.

c) f(5/2) = 8.

d) f(5a) = -4a + 10.

e) f(5a - 15) = -4a + 22.

<h3>How to find the numeric value of a function?</h3>

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the function is given by:

f(x) = -0.8x + 10.

Hence the numeric values are given as follows:

  • f(-5) = -0.8(-5) + 10 = 14.
  • f(0) = -0.8(0) + 10 = 10.
  • f(5/2) = f(2.5) = -0.8(2.5) + 10 = 8.
  • f(5a) = -0.8(5a) + 10 = -4a + 10.
  • f(5a - 15) = -0.8(5a - 15) + 10 = -4a + 22.

More can be learned about the numeric value of a function at brainly.com/question/14556096

#SPJ1

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hichkok12 [17]

Equation of the line in slope-intercept form is y = -1/5 x + 9

Step-by-step explanation:

  • Step 1: Given slope of the line is -1/5 and the point is (-10, 9). Here m=-1/5.

⇒ y = -1/5 x + b  ------ (1)

  • Step 2: Find the y-intercept of the line, b. Since the line passes through (-10, 9) substitute x = -10 and y = 9 in eq(1)

⇒ 9 = -1/5 × -10 + b = 2 + b

⇒ b = 9 - 2 = 7

  • Step 3: Slope intercept form of the line is y = mx + b. Form the equation using the values of m and b.

⇒ y = -1/5 x + 7

It can also be written as 5y + x = 35

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A small airplane can fly 12 miles in 3 minutes. At this rate, how far can the airplane fly in 1 hour?
Sidana [21]

Answer:

The airplane can fly up to 240 miles in a hour

Step-by-step explanation:

Cross multiply

(12)(60)=3x

720=3x

Divide 3 on both sides

x=240

7 0
4 years ago
Read 2 more answers
If a+b=2x-2 and a-b=4x-8
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Plsss help no one answered the other times I put this question
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Answer:

a) <em>The equation</em> (10s + 8w) <em>represents </em><em>the </em><em>calories </em><em>Bridget </em><em>ate </em><em>on </em><em>Monday </em><em>and </em><em>the </em><em>equation</em> (20s + w) <em>represents </em><em>the </em><em>calories</em><em> </em><em>she </em><em>ate</em><em> </em><em>the </em><em>next </em><em>day.</em>

<em>b)</em><em> </em><em>The </em><em>number </em><em>of </em><em>calories</em><em> </em><em>in </em><em>each </em><em>strawberry</em><em> </em><em>is </em>4 <em>and </em><em>the </em><em>number </em><em>of </em><em>calories </em><em>in </em><em>each </em><em>vanilla</em><em> </em><em>wafer</em><em> cookie</em><em> </em><em>is </em>19. The solution is s= 4 and w = 19.

Step-by-step explanation:

For part A, Bridget ate 10 strawberries and 8 vanilla wafer cookies on Monday. Since the the number of calories in a strawberry is <em>s</em> and the number of calories in a vanilla wafer cookie is <em>w </em>, the number of calories Bridget ate on Monday is <em>10s + 8w</em><em>.</em><em> </em>The next day, Bridget ate 20 strawberries and 1 vanilla wafer cookie. Hence, the number of calories Bridget ate on the next day is 20s<em> + w</em>.

For part B,

we will create two different simultaneous equations.

Equation 1: 10s + 8w = 192

Equation 2: 20s + w = 99

We need to find one of the terms first to solve the other term. For this case, I will solve for w first.

Multiply the first equation by 2.

Equation 3: 20s + 16w = 192*2 = 384.

Now, subtract equation 2 from this new equation.

Equation 4:

(20s + 16w) - (20s + w) = 384 - 99

20s + 16w - 20s - w = 285

15w = 285

This leaves only w left and we can solve w.

w = 285 / 15 = 19

Now, we can solve for s using equation 2.

20s + 19 = 99

20s = 99-19 = 80

Hence,

s = 80/20 = 4

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Ratio expresses the degree of proportionality between two or more numbers. It expresses the number of times one number is contained in another number.  

In order to make the ratios equal, the relationship that exists between 9 and 36 has to be determined. 36 is a multiple of 9. It is 9 multiplied by 4. So, in order to make the ratios equal, multiply, 25 by 4.

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To learn more about ratios, please check: brainly.com/question/17995727

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