In the xy plane what is the y intercept of the graph of the equation y=2(x+3)(x-4)

Answers

Answer 1
Answer: y intercept is when line crosses y axis or when x=0

set x=0
y=2(0+3)(0-4)
y=2*3*-4
y=-24

y intecept is -24

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If (x2 +3x +5)(x2 +3x - 5) = m2-n2, then find m ?

Answers

(x^2+3x+5)(x^2+3x-5)=m^2-n^2\n\n\ [(x^2+3x)+5][(x^2+3x)-5]=(m+n)(m-n)\n\nm=x^2+3x;\ n=5

Based on the graph below, what are the solutions to the equation f(x) = g(x)?graph of function f of x equals 5 times x minus 2. Graph of function g of x equals x cubed minus 2 times x squared minus x plus 2

(A)x = −3.7, 0.5, 3.4
(B)x = −1, 1, 2
(C)x = −2, 2, 3
(D)x = −2, 0.6, 3.4

Answers

Answer:

The answer is the option D

x=-2,0.6,3.4

Step-by-step explanation:

we have

f(x)=5x-2

g(x)=x^(3)-2x^(2)-x+2

To solve the system of equations equate f(x) and g(x)

f(x)=g(x)

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solutions of x are

x=-2,0.6,3.4

The  solutions to the equation f(x) = g(x) is −2, 0.6, 3.4.

The correct option is (A)

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

given:

f(x)= 5x-2

g(x)= x³-2x²-x+2

Now, equate f(x)= g(x)

The solution is shown using graphical method.

By looking the graph, the graph of function g(x) touches the line f(x) at three point −2, 0.6, 3.4.

Hence, the solution of x will be −2, 0.6, 3.4.

Learn more about function here:

brainly.com/question/12719286

#SPJ5

Quick Question: Is the y intercept always a whole number (can it be a fraction/decimal?)

Answers

yes it can be it does not always have to be a whole number

Help me find y........​

Answers

Answer:

Step-by-step explanation:

a)

the sum of all angles in a quadrilateral must be 360º

y+88+25+35 = 360

y = 360=88-25-35

y = 212º

b)

the sum of all angles in an octagon must be 1080º

45+45+140+140+6y = 1080

6y = 1080-90-280

6y = 710

y = 710/6

y=~ 118,3º

Which pair of numbers is relatively prime? A.
18 and 45

   B.
26 and 91

   C.
10 and 33

   D.
14 and 63

Answers

Pair of numbers is relatively prime when numbers do not share factors except for 1.
The answer is C because:
10 can be divided by 1,2,5,10
33 can be divided by 1,3,11,33
Hope it helped :)

The correlation coefficient r between a child age x and the number of minutes spent doing homework each day y is 0.694.What percent of the variation?

A. 30.6%
B. 48.2%
C. 51.8%
D. 69.4%

Answers

The final answer to your question is that the percent variation of  the correlation coefficient between a child age x and the number of minutes spent doing homework each day y with r = 0.694 is C. 51.8%.

Hope my answer would be a great help for you.

Answer:

The answer is 48.2%

Step-by-step explanation:

The correlation coefficient r between a child age x and the number of minutes spent doing homework each day y is 0.694 i.e r=0.694

Now, we have to find percent of the variation.

The coefficient of determination isr^(2)

The square of r(correlation coefficient) is the percent of variation that is explained by the dependent variable.

If r=0.694 ⇒r^(2)= (0.694)^(2)=0.482 this means that 48.2% of variation in dependent variable.