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podryga [215]
3 years ago
8

Question 11 of 25

Mathematics
1 answer:
malfutka [58]3 years ago
4 0

Answer:

D

Step-by-step explanation:

simple : when we have a point defined as (1, 4), it means x = 1, y = 4.

and since the point is on the graph of a function/equation it means that when we use x = 1 and calculate the equation, we get 4 as result (= y). so yes, that means that both sides of the "=" sign are indeed equal for this pair of values, which makes the equation true.

but there will be usually many other pairs that do that too.

You might be interested in
Find the value of x so that the function has the given value.
nataly862011 [7]

For h(x) = -7x + 10, x =1

For r(x) = 4/5x+ 7 , x = -15

Step-by-step explanation:

in order to find the value of x on which the functions will have given values, we will put the functions equal to the given values

So,

<u>h(x) = -7x + 10; h(x) = 3</u>

h(x) = -7x+10\\3 = -7x+10\\3-10 = -7x+10-10\\-7 = -7x

Dividing both sides by -7

\frac{-7x}{-7} = \frac{-7}{-7}\\x = 1

<u>r(x) =  4/5x+7; r(x) = -5</u>

r(x) = \frac{4}{5}x +7\\-5 = \frac{4}{5}x +7\\-5-7 = \frac{4}{5}x\\-12 = \frac{4}{5}x\\x = -12 * \frac{5}{4}\\x = -15

<u></u>

Keywords: Functions

Learn more about functions at:

  • brainly.com/question/1406585
  • brainly.com/question/1414350

#LearnwithBrainly

3 0
3 years ago
Evaluate the expression if a= -5 and b=-2.<br> a + 3b<br> A:4<br> B:1<br> C:11<br> D: -11
yuradex [85]

Answer:

D.-11

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How do you solve sin (5pi/3) without a calculator?
Savatey [412]

very simple, we use the formula sin(a+b)=sinacosb + sinbcosa and sin(20)=2sinacosa

5pi = 2pi/3+3pi/3,

First, we use sin(a+b)=sinacosb + sinbcosa

sin(5pi/3)=sin(2pi/3+3pi/3)= sin(2pi/3+pi)= sin(2pi/3)cos(pi) +sin(pi)cos(2pi/3)

but we know that sin(pi)= 0, and cos (pi) = -1, so sin(5pi/3)= - sin(2pi/3)

now, use sin(2a)=2sinacosa, sin(5pi/3)= - sin(2pi/3)= -2sin(pi/3)cos(pi/3)

sin<span>(5pi/3)=  -2sin(pi/3)cos(pi/3)</span>

<span>sin(pi/3)= 0.86, cos(pi/3)=0.5, finally we have   </span>sin<span>(5pi/3)=  -0.86 x 0.5= -0.43</span>

5 0
3 years ago
Read 2 more answers
Find an equation in slope intercept form of the line that has a slope of -8 and passes through point A (1,5)
ollegr [7]

Answer:

8x+y-13=0

Step-by-step explanation:

let the given point be

A(1,5)=(x1,y1)

slope(m)= -8

then,equation of straight line is,

(y-y1)=m(x-x1)

(y-5)= -8(x-1)

y-5= -8x+8

8x+y-5-8=0

therefore,8x+y-13=0 ..........(i) is the required equation.

3 0
3 years ago
Read 2 more answers
In a forested area, the number of trees, T can be expressed as a function of the initial number of trees planted. If the initial
Wewaii [24]
N = N    (1+0.20)^5    
          o

Here, that'd be 10000(1.20)^5, or 24883 trees.
7 0
2 years ago
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