If the zeroes of a quadratic function, G, are 4 and -2, what is the equation of the axis of symmetry of G

Answer:5p-+q+r

Step-by-step explanation:

Answer:

x = - 7, x = - 1

Step-by-step explanation:

To find the zeros let f(x) = 0 , that is

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = + 7 and 7 + 1 = + 8 , then

x² + 8x + 7 = 0

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

The perimeter of the square is 70.8 meters.

To find the perimeter of a square, we need to know either the length of one side or the area of the square. In this case, we are given the area of the square as 313.29 m².

The formula for the area of a square is:

Area = side length²

We can rearrange this formula to solve for the side length:

Side length = √Area

Substituting the given area into the formula, we have:

Side length = √313.29 m²

Calculating the square root of 313.29, we find that the side length of the square is approximately 17.7 meters (rounded to one decimal place).

Since a square has four equal sides, the perimeter is simply four times the side length:

Perimeter = 4 * 17.7 m = 70.8 meters

As a result, the square's circumference is 70.8 metres.

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Answer:

y = -2x

Step-by-step explanation:

Answer:

130 points

Step-by-step explanation:

Given

[tex]Scorers: Duane,\ LeBron\ \&\ Chris[/tex]

[tex]D=Dwayne[/tex]

[tex]C = Chris[/tex]

[tex]L = LeBron[/tex]

So, we have:

[tex]L = 15 + C[/tex] --- 15 more than Chris

[tex]L =D -10[/tex] --- Same as Dwayne previous personal best

[tex]D = 55[/tex] -- Dwayne's point

Required

Find the total points

We have:

[tex]L = 15 + C[/tex]

[tex]L =D -10[/tex]

[tex]D = 55[/tex]

Substitute [tex]D = 55[/tex] in [tex]L =D -10[/tex]

[tex]L = 55 - 10[/tex]

[tex]L = 45[/tex]

Substitute [tex]L = 45[/tex] in [tex]L = 15 + C[/tex]

[tex]45 = 15 + C[/tex]

[tex]C =45 -15[/tex]

[tex]C =30[/tex]

So, we have:

[tex]D = 55[/tex]

[tex]L = 45[/tex]

[tex]C =30[/tex]

The total points is calculated as:

[tex]Total = D + L + C[/tex]

[tex]Total = 55 + 45 + 30[/tex]

[tex]Total = 130[/tex]

Answer:

x = −2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(4x+6)=x−4

(3)(4x)+(3)(6)=x+−4(Distribute)

12x+18=x+−4

12x+18=x−4

Step 2: Subtract x from both sides.

12x+18−x=x−4−x

11x+18=−4

Step 3: Subtract 18 from both sides.

11x+18−18=−4−18

11x=−22

Step 4: Divide both sides by 11.

[tex]\frac{11x}{11}[/tex] = [tex]\frac{-22}{11}[/tex]

x = −2

Answer:

Step-by-step explanation:

Answer:

11259.5

Step-by-step explanation:

25×386+3219÷2

Multiply 25 and 386 to get 9650.

9650+3219/2

Convert 9650 to fraction 19300/2.

19300/2+3219/2

Since 19300/2 and 3219/2 have the same denominator, add them by adding their numerators.

19300+3219/2

Add 19300 and 3219 to get 22519.

22519/2

Divide 22519 by 2 to get 11259.5.

11259.5

The percentage difference in the amounts made is 30%.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

Percentage difference= [ (amount made this year / amount made last year) - 1 ] x 100

'(650,000 / 500,000) - 1] x 100 = 30%

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Answer:

24

Step-by-step explanation:

correct on plato

Answer:

x=74

y=37

z=25

Step-by-step explanation:

First, we can find y.

106 and 2y are supplementary angles. That means that when added together, they equal 180.

106+2y=180

2y=74

y=37

We can use this information to help us find x.

x and 2y are corresponding angles, which means that they are congruent.

2y=x

2(37)=x

74=x

Now, let's find z.

4z+6 is corresponding to the angle right above angle x. This means that (4z+6)+x=180.

Let's solve.

(4z+6)+74=180

4z+80=180

4z=100

z=25

Hope this helped!

Answer:

1/2 of 1/100 = 1/200

Step-by-step explanation:

Answer:

The answer is True

Answer:

2. reflexive property

4. transitive property

5. By angle angle side

Hope this helps

ALL THE BEST!!

Answer:

Domain would be x ≥ -3.

So enter -3.

Step-by-step explanation:

This is a parabola with line of symmetry x = -3.

When x has values like  say -4 and -2,  f(x)  will have a value of 1 making the function many to one.

So,  to make it one to one, x would have to be equal or greater than -3.

A function assigns values. The limit of the domain to make this function one to one is x≥3.

A function assigns the value of each element of one set to the other specific element of another set.

A one to one function is a function whose every input gives a distinct output. Now given the function is a quadratic function, therefore, the function will have the same output for multiple inputs.

Since the symmetrical axis for this function lies at x=-3, therefore, for the function to be one to one the domain of the function must be greater than or equal to 6.

Hence, the limit of the domain to make this function one to one is x≥3.

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Answer:

a^11 b^5

Step-by-step explanation:

basically you combine like terms on both sides of the division problem separately

which now becomes a^6b^3/a^-5 b^-2

then you divide which is just subtracting the exponents of like terms

a^(6--5) b^(3--2)

and then solve and you get the answer a^11 b^5

Answer:

c

Step-by-step explanation:

we add them which gets 440. afterwards we don't round since it's a profitable and stable amount

Answer:

You have a 2/3 chance

Answer:

2/3

Step-by-step explanation:

when you spin twice you either get a KK, KV, KH, VK, VV, VH, HK, HV, HH.

so the probability of getting a K and a K is 1/3 plus 1/3 to get your answer as 2/3.

Answer:

It comes from correct solution steps and is not a valid solution of the equation.

Step-by-step explanation:

The true statement about extraneous solutions is:

(c) It comes from correct solution steps and is not a valid solution of the equation.

An extraneous solution is a solution when put in the original equation does not give the correct value

However, the step to get the solution is true

Hence, the true statement about extraneous solutions is (c)

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Answer:

C. No Solutions

Step-by-step explanation:

Answer:

C) no solutions

Step-by-step explanation:

7a+5(a+3)=8a+4(a+2)

7a+5a+15=8a+4a+8

12a+15=12a+8

-8           -8

12a+7=12a

No solutions

Answer:

Step-by-step explanation:

#1

Substitute pairs of solutions and verify

(1, 7)

(2, -7)

Correct choice is D. Neither

#2

x- intercept: y = 0

y- intercept: x = 0

#3

x = -1 ⇒ find y:

Answer:

1. The answer is D , neither

Just insert 1&2 in the equation and then get -7 & -9 , which are wrong !

_____________

2. x-intercept : (-13/6 , 0)

y-intercept : (0,13)

_____________

Y=3

Just insert -1 as X in the equation & get the Y .

Step-by-step explanation:

Hope that was helpful .

Good luck .

Answer:

3

Step-by-step explanation:

Answer:

answer would be 3!

Step-by-step explanation:

view the problem, it could be adding or subtracting. your welcome! c:

Answer:

if;3=1.98 what about 2

3-1.98

2-?

2×1.98÷3=$1.32

Arlo has $25 to spend on a T-shirt and

shorts for gym class. The shorts cost $14.

Use the inequality 14 +1 < 25, where t

represents the cost of the T-shirt. What is

the most Arlo can spend on the T-shirt?

the answer is $11.

Answer:

60

Step-by-step explanation:

13+7=20  20=10=30  30+30= 60

Hope this helps!

Answer:15

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Diameter = two times the radius so the answer is 5 units.