What are the vertex and x-intercepts of the graph of y= (x+4) (x-2)

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

the x-intercepts of the graph is (-4, 0) and (2, 0)

y = x^2 + 2x - 8

(2/2) = 1

y = (1)^2 + 2(1) - 8 = 1 + 2 - 8 = 3 - 8 = -5

(1, -5) is the vertex


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Evaluate a + b for a = 2 and b = 3.
1
5
6

Answers


a = 2
b = 3.156

   (a + b)  =  (2) + (3.156)  =  5.156

just add if it were normal 2 + 3 = 5 and just out the .156

answer is 5.156

(a) 3x + 7y = 13, 5x + 2y = 12
How do i solve this linear equation using substitution method??

Answers

Answer:

x= 2, y= 1

Step-by-step explanation:

First label the 2 equations:

3x +7y= 13 -----(1)

5x +2y= 12 -----(2)

Make x or y the subject of formula for one of the equation so that we can substitute its value into the 2nd equation.

Here, I am making y the subject of formula in the 2nd equation.

5x +2y= 12

2y= 12 -5x

y = 6 -  (5)/(2) x -----(3)

Substitute (3) into (1):

3x + 7(6 -  (5)/(2) x) = 13

Expand:

3x + 42 -  (35)/(2) x = 13

Bringconstantstooneside:

3x -  (35)/(2) x = 13 - 42

Simplify:

-  (29)/(2) x =  - 29

Multiplyby-2onbothsides:

- 29x =  - 58

Divideby-29onbothsides:

x=2

Substitute x=2 into (1):

3(2) +7y= 13

7y +6= 13

7y= 13 -6 (-6onbothsides)

7y= 7

y= 7 ÷7

y= 1

Find three consecutive integers such that the sum of twice the smallest and 3 times the largest is 126.

Answers

The addition is one of the four fundamental mathematical operations. The three consecutive terms are 24, 25, 26.

What is Addition?

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Let the first integer be represented by x. Then the other two integers will be (x+1) and (x+2).

Since it is given that the sum of twice the smallest and 3 times the largest is 126. Therefore we can write,

2x + 3(x+2) = 126

2x + 3x + 6 = 126

5x = 126 - 6

5x = 120

x = 120/5

x = 24

Thus, the three consecutive terms are,

x = 24

x + 1 = 25

x + 2 = 26

Hence, the three consecutive terms are 24, 25, and 26.

Learn more about Addition here:

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x-smallest
y middle
z largest


x+1=y
y+1=z
2x+3z=126

2x+ 3(y+1)=126
2x+3y+3=126
2x+3(x+1)=123
5x=120
x=24

y=25

z=26



Rewrite 0.8 as a fraction in simplest form.

Answers

Answer: 8/10

Step-by-step explanation: Using the place value chart, we can see that 0.8 means eight-tenths which can be written as the fraction 8/10. Since 8/10 is not in lowest terms, we need to divide both the numerator and denominator by the greatest common factor of 8 and 10 which is 2 to get 4/5.

Therefore, 0.8 can be written as the fraction 8/10.

The decimal number 0.8 in the simplest fraction form will be 4/5.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

The decimal number is given below:

⇒ 0.8

Multiply and divide the expression by 10. Then we have

⇒ 0.8 x 10 / 10

⇒ 8 / 10

⇒ 4 / 5

More about the fraction number link is given below.

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If the 1600m race is 4 laps, what is the path length raced?

Answers

it is 400 because you have to divide

Which is a solution to (x – 3)(x + 9) = –27?

x = –9
x = –3
x = 0
x = 6

Answers

If you would like to solve (x – 3)(x + 9) = –27, you can do this using the following steps:

(x – 3)(x + 9) = –27
x^2 + 9x - 3x - 27 = -27
x^2 + 6x - 27 + 27 = 0
x^2 + 6x = 0
x * (x + 6) = 0
1. x = 0
2. x = -6

The correct result would be x = 0.

By evaluating the quadraticexpression at each realnumber, we conclude that x = 0 is a solution (root) to (x - 3) · (x + 9) = -27. (Correct choice: C)

How to find the roots of a given polynomic expression

In this question we must find a solution for a polynomicexpression. There are several approaches to find them. Since we have a polynomicexpression as a product of binomials, we can determine the solution by evaluating at each choice:

x = 0

(0 - 3) · (0 + 9) = -27

(-3) · 9 = -27

-27 = -27

By evaluating the quadraticexpression at each realnumber, we conclude that x = 0 is a solution (root) to (x - 3) · (x + 9) = -27. (Correct choice: C)

To learn more on quadratic functions: brainly.com/question/5975436

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