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serg [7]
3 years ago
8

What is the y-intercept for the cubic function: 4x^3-3x^2+7?

Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0

The y-intercept for the cubic function: 4x^3-3x^2+7 is (0, 7)

Given the polynomial function 4x^3-3x^2+7, the y-intercept of the function occurs where the value of x is zero

Substituting x = 0 into the polynomial function will give;

y = 4x^3-3x^2+7

y = 4(0)^3-3(0)^2+7

y = 0 - 0 + 7

y = 7

Hence the y-intercept for the cubic function: 4x^3-3x^2+7 is (0, 7)

Learn more here: brainly.com/question/19859423

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Triangle ABC has the coordinates A(-3, -2), B(2, 4) and C(2,-2). What is the area of triangle ABC?
Snezhnost [94]

Answer:   The area is 15 square units

Step-by-step explanation:  It is helpful to sketch the coordinates on a graph to get an idea of what the triangle looks like so you can see which side will be the base, and where to get the height. You will see that AB is the hypotenuse, it is a right triangle, so AC can be the base and BC is the height.

Use the differences in x-values of points C & A to get the length of the base:   2-(-3) is 5

Use the differences in y-values of points B & C to get the height:

4-(-2) = 6

Area = bh/2

A = 5×6/2 = 30/2

A = 15 square unts

3 0
3 years ago
The histogram to the right represents the weights​ (in pounds) of members of a certain​ high-school math team. How many team mem
____ [38]

Answer:

Total member = a+b+c+d+e+f+g=5+4+2+0+5+0+4=20 member

Step-by-step explanation:

Let suppose the attached histogram

a) Total members whose weight 110 = 5

b) Total members whose weight 120 = 4

c) Total members whose weight 130 = 2

d) Total members whose weight 140 = 0

e) Total members whose weight 150 = 5

f) Total members whose weight 160 = 0

g) Total members whose weight 170 = 4

Total member = a+b+c+d+e+f+g=5+4+2+0+5+0+4=20 member

A histogram is a statistical graphical representation of data with the help of bars with different heights.

6 0
3 years ago
Can someone help me with part b?
Tema [17]

Step-by-step explanation:

the average rate of change of a function f in an interval [x-low, x-high] is

(f(x-high) - f(x-low)) / (x-high - x-low)

the year 2000 means t = 2000-1980 = 20

the year 2015 means t = 2015-1980 = 35

so, we have

(A(35) - A(20)) / (35 - 20)

((-0.6(35)² + 37.2×35 + 243) - (-0.6(20)² + 37.2×20 + 243)) / 15

((-735 + 1302 + 243) - (-240 + 744 + 243)) / 15

(810 - 747) / 15 = 63/15 = 4.2

the average change rate between 2000 and 2015 is 4.2.

that means that the use of nuclear energy in the USA increased by 4.2 billions of kilowatt hours per year during that period.

3 0
3 years ago
Let f(x) = 4x + 2 and g(x) = 2x2-4. Find the formula for the composition function gf.​
Finger [1]
G(f(x))=? g(x)=2x^2-4? hope this is what you mean
g(f(x))=2(4x+2)^2-4
g(f(x))=2(16x^2+16x+4)-4
g(f(x))=32x^2+32x+8-4
g(f(x))=32x^2+32x+4
4 0
3 years ago
What type of angle is
mash [69]

Answer:

I'm really sorry I can't tell you the answer because you have to measure the angle by yourself using a protractor. But I gave you information about types of angles if you got the degree of angles ( e.g 90 degrees). Hope it helped.

Step-by-step explanation:

acute angle-an angle between 0 and 90 degrees  

right angle-an 90 degree angle  

obtuse angle-an angle between 90 and 180 degrees  

straight angle-a 180 degree angle  

8 0
3 years ago
Read 2 more answers
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