Identify the vertex, equation of the axis of symmetry, y-intercept, and zeros of the graph of a quadratic function.

Answer:

-1/4 x 4 = -1

Step-by-step explanation:

:)

Answer:

1 or 100%.

Step-by-step explanation:

The probability of rolling less than 7 is equal to the probability of rolling 1 or 2 or 3 or 4 or 5 or 6. That is 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6. So any number from the dice can come up when you roll it because a perfect dice has 6 sides.

Answer:

Stem Leaf

1 9 9

2 1 4 9

3 2 2 6

4 2 2

Step-by-step explanation:

Answer:

[tex]\alpha^3-\beta^3 = \frac{28}{3}\sqrt{\frac{5}{3}}[/tex]

Step-by-step explanation:

The value of a³-B³ from the given quadratic equation is 12.05.

The roots to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, a and B are the roots of the equation 3x²+6x-2=0

By comparing 3x²+6x-2=0 with ax²+bx+c=0, we get a=3, b=6 and c=-2

The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.

Now, substitute a=3, b=6 and c=-2 in quadratic formula

That is, x = [-6 ±√(6² - 4×3×(-2))]/2×3

= [-6 ±√60]/6

= (-6±2√15)/6

= (-3±√15)/3

So, a=(-3+√15)/3 and B=(-3-√15)/3

Now, a³-B³ = [(-3+√15)/3]³- [(-3-√15)/3]³

= 12.05

Therefore, the value of a³-B³ from the given quadratic equation is 12.05.

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Answer:

SA = 90 in²

Step-by-step explanation:

given 2 similar shapes with sides in ratio a : b , then

ratio of areas = a² : b²

ratio of volumes = a³ : b³

Given ratio of volumes = 64 : 27 , then

ratio of sides = [tex]\sqrt[3]{64}[/tex] : [tex]\sqrt[3]{27}[/tex] = 4 : 3

then ratio of areas = 4² : 3² = 16 : 9

let x be the surface area of the smaller box then by proportion

[tex]\frac{x}{9}[/tex] = [tex]\frac{160}{16}[/tex] = 10 ( multiply both sides by 9 )

x = 90

surface area of smaller box is 90 in²

67.5 square inches is the surface area of a similar shoe box if its volume is only 27 cubic inches

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that  shoe box has a volume of 64 cubic inches and a surface area of 160 square inches.

We have to find the  surface area of a similar shoe box if its volume is only 27 cubic inches

Lets form a proportional equation

64/160 = 27/x

Apply cross multiplication

64x=160(27)

64x=4320

Divide both sides by 64

x=4320/64

x=67.5

Hence, 67.5 square inches is the surface area of a similar shoe box if its volume is only 27 cubic inches

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Answer:

They have 6 when multiplying it

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Solving the inequality :

Plotted graph :

That person have $ 573.79 in his account balance after 8 years.

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Here, Principal = $ 310

          Rate of interest = 8%

          Time = 8 years

We know,

Amount = P (1 + i )ⁿ

              = 310 X (1 + 0.08)⁸

              = 310 X 1.85

             = $ 573.79

Thus, that person have $ 573.79 in his account balance after 8 years.

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Answer:

just count up that equals 1000

Answer:

-5 is the coefficient of b

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the coefficient of b² in the expression b²-b⁵+18?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

1

[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]

The coefficient is defined as a number before a variable.

If there's no number, then the coefficient is 1.

Since b² has no number next to it, its coefficient is 1.

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

See the attachment  for the graphed inequalities.

Step 1: 8 + 2 + (3 × 1)

Step 2: 8 + 2 + 3

Step 3: 10 + 3 [ corrected]

Step 4: 13

Answer:

B. The system has no solution.

Step-by-step explanation:

[12x + 7y] = (20)

[12x + 7y] = (11)

The numbers in (parentheses) are both different while the numbers in the [brackets] are the same.

20=7y+12x

12x+7y=11

Slopes are

No solutions

Step-by-step explanation:

Answer:

-10(-9)+8 or 98

Step-by-step explanation:

If they are asking for the question formart for an answer then plug in like the first answer if they’re asking for the full simplified answer then simplify the first answer and then you’ll get 98

Answer:

Here is rest of explanation

Answer:

4ft

Step-by-step explanation:

Answer:

4ft

Step-by-step explanation:

Answer:

(x+10)(x-10)

Step-by-step explanation:

The factor for x+10 is x+10 itself.

(x+10) = x+10

(x+10) occurs 1 time.

The factor for x-10 is x-10 itself.

(x-10) = x-10

(x+10) occurs 1 time.

The LCM of x+10, x-10 is the result of multiplying all factors the greatest number of times they occur in either term.

(x+10)(x-10)

Answer:$11.5

Step-by-step explanation:

Admission = $9 charged once

each ride = $2.5x (x=number of rides)

Total cost for x rides

=2.5x+9

Answer:

y=-3x+4.

Step-by-step explanation:

1) the slope can be calculated according the formula:

slope=(y_end-y_init)/(x_end-x_init);

2) according to the formula above:

slope=(3-1)/(0-1)=-3.

3) according to the given graph the interception is 4, then

4) finally, the required equation is y=-3x+4.

[tex]144x^2-100[/tex]

looking at the original equation, you'll notice that it is a difference of squares therefore the factored form will look like something like this:

[tex](ax-b)(ax+b)[/tex] where a and b are the two numbers and the x represents the variable.

This would be the factored form:

[tex](12x-10)(12x+10)[/tex]

It can then be simplified to this:

[tex]2(6x-5)2(6x+5)[/tex]

and this would be its fully factored form:

[tex]4(6x-5)(6x+5)[/tex]

The perimeter of the triangle ABC is [tex]10+\sqrt{10}[/tex] [tex]units[/tex].

The given parameters:

The length of AC = 3-(-2) = 5 unit

The length of AC = length of BC = 5 unit

The length of BC is calculated by applying Pythagoras theorem as follows;

[tex]BC^2=(4-1)^2+(3-2)^2[/tex]

[tex]BC^2=3^2+1^2[/tex]

[tex]BC^2=10[/tex]

[tex]BC=\sqrt{10}[/tex]

The perimeter of the triangle ABC is calculated as follows;

[tex]P=AB+AC+BC[/tex]

[tex]P=5+5+\sqrt{10}[/tex]

[tex]P=10+\sqrt{10[/tex]  [tex]units[/tex]

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Answer:

First option, incorrect....

Step-by-step explanation:

This is because the interval is either below or above 26.8 by 0.6

-+ means

26.8 + 0.6 = 27.4

26.8 - 0.6 = 26.2

The confidence interval % can change

- The second option states 28 but that is not in the interval

- The third option is somewhat right but the parameter should be emphasized how confident you are

- The last option is wrong since it has the word "every young" when the initial sentence was the mean

The triangles AEB and DEC are congruent by the SAA congruence theorem

The given parameters are:

The above parameters mean that:

Also, it means that two corresponding angles and one corresponding side on triangles AEB and DEC are congruent;

This represents the ASA congruence theorem.

Hence, ΔAEB and ΔDEC are congruent by the SAA congruence theorem

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There are 16 parents.

12 of the parents match the criteria.

12/16×100

=75%

Answer:

94 square inches.

Step-by-step explanation:

Surface area is the area around a surface. Thus, in order to calculate the surface area of a rectangular prism, we just need to add up the different faces of it.

There are 2 5x4 faces, 2 3x5 faces, and 2 4x3 faces.

Thus, we get 2*20 + 2*15 + 2*12 = 40 + 30 + 24 = 94 square inches.

Answer:

Cole has 15 pencils.

Step-by-step explanation:

First, we have the equation c + o =18, c representing cole, and o representing connor.

From there, we get 5o=c

Using substitiution, we get o=3

5(3)=15

15+3=18

Answer:

B.) $300

Step-by-step explanation:

just multiply 15 by how many hours you have

The situation involving the food establishment has a probability 2.08 percentage points higher than the situation involving the financial establishment

The question is incomplete, as the required table is not given.

From a more complete question, we have the following parameters:

Using the above values, the difference in the probabilities is

d = 10.59% - 8.56%

This gives

d = 2.03%

Hence, the true statement about the probability is (d)

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Answer:

Step-by-step explanation:

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

y - 3 = -2/3x + 2

y = -2/3x + 5