Simplify this question

Y = x^2 -3

y = (x-3)(x+3)

For x-intercepts, y = 0

Therefore (x-3)(x+3) = 0

x intercepts are (3,0) and (-3,0)

The line of symmetry is x = 3+(-3) = 0

Vertex is on the line of symmetry

When x = 0, y = -1

Vertex = (0,-1)

Answer:

The answer is equal to 0

Step-by-step explanation:

Explanation in the picture.

Answer:

a) 43 - 15

b) 28

Answer:

x = 9

Step-by-step explanation:

10 + x/3 = 13

x/3 = 13 -10

x/3 = 3

x = 3*3 = 9

Answer:

9

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 10 from both sides of the equation:

[tex]\frac{x}{3} + 10 = 13\\\\\frac{x}{3} + 10 (-10) = 13 (-10)\\\\\\\frac{x}{3} = 13 - 10\\\\\\\frac{x}{3} = 3[/tex]

Next, isolate the variable, x, by multiplying 3 to both sides of the equations:

[tex](\frac{x}{3}) * 3= (3) * 3\\\\x = 3 * 3\\\\x = 9[/tex]

~

Answer:

The distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units

Step-by-step explanation:

Use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex] where [tex]d[/tex] is the positive distance between [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

[tex]d=\sqrt{(-5-1)^2+(-4-7)^2}[/tex]

[tex]d=\sqrt{(-6)^2+(-11)^2}[/tex]

[tex]d=\sqrt{36+121}[/tex]

[tex]d=\sqrt{157}[/tex]

Therefore, the distance between [tex](7,1)[/tex] and [tex](-4,-5)[/tex] is [tex]\sqrt{157}[/tex] units

Answer: The distance between (7,1), and (-4, -5) is 12.53.

Answer:

[tex] {10}^{12} = 1000000000000[/tex]

[tex]3 \times {10}^{12} = 3000000000000[/tex]

[tex] {10}^{11} = 100000000000[/tex]

[tex]4 \times {10}^{11} = 400000000000[/tex]

Step-by-step explanation:

The value of 3 × 10¹² is greater than 4 × 10¹¹

The standard scientific expression is given as A * 10^n

For the notation 3 × 10¹², we can see that the power is 12 while for the notation  4 × 10¹¹, the power is 11. Since 12 is greater than 11, hence the value of 3 × 10¹² is greater than 4 × 10¹¹

Learn more on scientific values here: https://brainly.com/question/1522308

Answer:

B

Step-by-step explanation:

     Leadership roles help the group manage relationships

[] Leadership is the action of leading a group of people or an organization, so this best completest the answer

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:200$

Step-by-step explanation:

A.3n+4+3n+4+4n

=3n+3n+4n+4+4

=10n+8

B.11n+4+n-12

=11n+n+4-12

=12n-8

C.6(6n-2)

=36n-12

D.4(3n-2)

=12n-8

E.4n+22-12+8n

=4n+8n+22-12

=12n+10

so,B and D are the expressions that are equivalent to 12n-8.

Answer:

x=-7, y=-9. (-7, -9).

Step-by-step explanation:

-3x+4y=-15

4x-y=-19

---------------

y=4x-(-19)

y=4x+19

-3x+4(4x+19)=-15

-3x+16x+76=-15

13x=-15-76

13x=-91

x=-91/13

x=-7

4(-7)-y=-19

-28-y=-19

y=-28-(-19)

y=-28+19

y=-9

Answer:

square

Step-by-step explanation:

question: A _____ is a regular quadrilateral with four equal sides and four equal angles.

first we have that it is a regular quadrilateral.

regular shapes are shapes that have equal side lengths, and equal interior angle measures.

a quadrilateral means it has 4 sides

if there are 4 sides, and all the angles are equal then each angle will be 90 degrees/ a right angle.

therefore you get a shape with:

4 congruent (equal) sides

4 right angles

this describes a square!

Answer:

  (x, y) = (22, 35)

  base angle theorem; angle sum theorem

Step-by-step explanation:

Base angles theorem:

Angles opposite congruent sides are congruent:

  3x -11 = 2x +11

  x = 22

__

Angle sum theorem:

The sum of angles in a triangle is 180°.

  (3x -11)° +(2x +11)° +2y° = 180°

  5x° +2y° = 180°

  2y = 180 -5(22) . . . . . divide by °, subtract 5x, substitute for x

  y = 35 . . . . . . . . . divide by 2

Answer:

there is no way to solve for y, but if your solving for x then x=4/5 and in decimal form it is x=0.8    hope that helps

Step-by-step explanation:

Answer:

y = -2x - 1

Step-by-step explanation:

Put y on the left and everything else on the right

Answer:

x=9,-7

Step-by-step explanation:

(x+3)(x-5)=48

x^2-2x-15-48=0

x^2-2x-63=0

(x-9)(x+7)=0

x=9,-7

dont use the negative number becuase it would not make sense in this scenario

width = 12

length=4

Answer:

0.278

Step-by-step explanation:

Step-by-step explanation:

similar triangles mean that all angles are the same, and the side lengths of one triangle correlate to the corresponding sides of the other triangle by the same factor.

that means that the sides 2 (ED) and x (CB) have the same relation as the 6+4 (AD) and the 6 (AB) sides.

so,

x/2 = 6/(6+4) = 6/10 = 3/5

x = 2 × 3/5 = 6/5 = 1.2

The distance is 6.18 miles that Jacob walks as a function of the number of laps which is represented in the attached graph.

We have been given the relation below:

{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}

The distance between two points is defined as the length of the line segment between two places representing their distance.

The formula of the distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².

The given relation of function is represented in the attached graph.

Take two endpoints (3, 0.75) and (9, 2.25)

x₁ = 3, y₁ = 2.25

x₂ = 4, y₂ = 9

distance = √ (9 – 3)² + (2.25 – 0.75)²

distance = √ (6)² + (1.5)²

distance = √ (36 + 2.25)

distance = √ (38.25)

distance = 6.18 miles

Therefore, the distance is 6.18 miles that Jacob walks is a function of the number of laps.

Learn more about the distance between two points here:

brainly.com/question/15958176

#SPJ5

The information that was given to Harry about Crouch was that it was Crouch who gave the order for him to be sent to the wizard prison without a trial.

It should be noted that when Harry went to Hogsmeade, he brought food for Sirius and he was still in his dog form. Sirius then led them to a cave.

In the cave, they saw Buckbeak, the hippogriff. Sirius then turned back to a human being. He then gave Harry the piece of information that Crouch gave the order for him to be sent to Azkaban which was a prison for wizards.

Learn more about Harry on:

https://brainly.com/question/1173893

Answer:

You have to find the intercept hope this helps

Step-by-step explanation:

Answer:

(1,4)

Step-by-step explanation:

It was either (1,3) or (1,4) but there was no (1,3) so (1,4).

Hopes This Helps :)

Answer:

24 Square Inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

X + Y =  28500 (Equation 1).

1.11X + .9Y = 29010 (Equation 2).

Answer:

G

Step-by-step explanation:

3.6÷-0.5 is -7.2, so it's G

Answer:

y=3

Step-by-step explanation:

m=0

b=3

Answer: Evan is incorrect

Step-by-step explanation:

20/20 - 25 x 100 =

5/20 x 100/1 =

500/20

500/20 = 20%

Evan would only be correct is he doubled the 20 hours to make it 40 hours

Hope this helps✌

Answer:

D) r=-0.9

Step-by-step explanation:

Recall that when [tex]|r|[/tex] is closest to 1, the stronger the correlation between the variables. In this case, while [tex]|0.8|=0.8[/tex], [tex]|-0.9|=0.9[/tex] is actually larger and shows a stronger negative correlation between random variables. Therefore, D is correct.

Using the z-distribution, it is found that the p-value is of 0.03.

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

[tex]H_0: p = 0.5[/tex]

At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

[tex]H_a: p \neq 0.5[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are: [tex]p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}[/tex]

[tex]z = -2.12[/tex]

The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.

To learn more about the use of the z-distribution for hypothesis tests, you can take a look at https://brainly.com/question/16313918