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Answer:

3rd option

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 1, - 25 ) , then

f(x) = (x - (- 1) )² - 25 , that is

     = (x + 1)² - 25 ← expand using FOIL

     = x² + 2x + 1 - 25

     = x² + 2x - 24

Answer:

About 1.23 standard deviation above the mean

Step-by-step explanation:

From what we have here, we need to calculate the difference between the given value and the mean and divide by the standard deviation

That would be through calculating the z score as follows;

z-score = (x - mean)/SD

where x is the given value

z-score = (87-71)/13 = 1.23

Since the score is bigger than the mean, the correct choice here is that the score is about 1.23 standard deviation above the mean

Answer:

1/10

Step-by-step explanation:

the no of different probabilities = 6*5 = 30

no of times E can come with an even no = 3

so 3/30=1/10

Answer:

1

Step-by-step explanation:

The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.

[tex]\frac{Numerator}{Denominator}[/tex]

Answer:

The numerator is 1.

Step-by-step explanation:

The numerator is the number above the fraction bar; the denominator is below.

[tex]\frac{denominator}{numerator} -\frac{1}{2}[/tex]

Answer:

let the number be x

5(x+27)>6(x+26)

5x+135>6x+156

5x-6x>135-156

-x>-21

×<21

(21,+00)

Answer:

19/18

Step-by-step explanation:

ii put it inna calculator

Answer:

160 minutes

Step-by-step explanation:

Find out how many minutes are in a hour. 60 min in one hour. 60 x 2 = 120

120 + 40 = 160

Answer:

40

4

Step-by-step explanation:

a.) because the sides are the same their angles must be too

let x be the angle

100+x+x=180

x=40

b.) because the angles are all the same their sides must be too

4

1999+1001=3000 1091+1009=3000 2000+1000=3000

3000-1001=1999 3000-1009=1091 3000-2000=1000

Answer:

Height between ground and truck = 5.5 feet

Step-by-step explanation:

Given:

Angle of elevation = 30°

Length of the ramp = 11 feet

Find:

Height between ground and truck

Computation:

Length of the ramp = Hypotenuse

Height between ground and truck = Perpendicular

Sin θ = Perpendicular / Hypotenuse

Sin 30 = Height between ground and truck  / Length of the ramp

0.5 = Height between ground and truck  / 11

Height between ground and truck = 0.5 x 11

Height between ground and truck = 5.5 feet

Answer:

68 pounds a month

Step-by-step explanation:

so what i did is subtract 85 because that was the starting weight, now we have 408 I divided 6 (how many months) and got 68.

Answer:

uncountable

Step-by-step explanation:

----------------uncountable-----------------

Answer:

7.8km, so if it was rounding, your answer would be 8

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Look at the shape a polygon is 5 sides while a trapezoid has only 4 sides

Answer:

No. :) Reason: Trapezoids have to have at least on pair of parallel lines; this polygon has none.

Answer:

Rectangle area:

Given:

Find w:

Perimeter is the sum of side lengths:

P = 2 1/4 + 5 2/5 + 5 17/20 =

     2 + 5 + 5 + 1/4 + 2/5 + 17/20 =

     12 + 5/20 + 8/20 + 17/20 =

     12 + 30/20 =

     12 + 1.5 =

     13.5 ft

Total cost:

Answer:

[tex]y= (x -4)^2 - 1[/tex]

[tex]Vertex = (4,-1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 6x+13[/tex]

Required

7 units left and 5 units down

First, we have: [7 units left]

The rule is:

[tex](x,y) \to (x-7,y)[/tex]

So, we have:

[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]

Next, we have: [5 units down]

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]

[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]

Rewrite as:

[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]

Expand

[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]

Collect like terms

[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]

[tex]y = x^2 -8x +15[/tex]

To write in vertex form, we have

Subtract 15 from both sides

[tex]y -15= x^2 -8x[/tex]

Divide (-8) by 2; Add the square to both sides

[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]

[tex]y -15+ 16= x^2 -8x + 16[/tex]

[tex]y +1= x^2 -8x + 16[/tex]

Expand

[tex]y +1= x^2 -4x - 4x + 16[/tex]

Factorize

[tex]y +1= x(x -4) -4(x - 4)[/tex]

Factor out x - 4

[tex]y +1= (x -4)(x - 4)[/tex]

Rewrite as:

[tex]y +1= (x -4)^2[/tex]

Make y the subject

[tex]y= (x -4)^2 - 1[/tex]

The vertex is:

[tex]Vertex = (4,-1)[/tex]

Answer:

asasasdcvxcvszs

Step-by-step explanation:dsadsdasz

Answer:

1. <

2. <

Step-by-step explanation:

Have a good day :)

Answer:

x = 748 inches

Step-by-step explanation:

.0254 meters in 1 inch

set up a proportion:

.0254/1 = 19/x

cross-multiply:

.0254x = 19

x = 19/.0254

x = 748.03

Answer:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Step-by-step explanation:

Answer:

Equation to find the slope

[tex]\frac{y2-y1}{x2-x1} =\frac{-9-0}{3-0} = -9/3 = -3x[/tex]

y=-3x

hope that answers your question

Step-by-step explanation:

Answer: C. y = -3x

Step-by-step explanation:

Since the line runs through the origin (0, 0), we don't have to write a y-intercept. To calculate the slope, we determine the change in y value over the change in x value.

Looking at the graph, we see that for every +1 x, we have -3 y, so the slope is -3, which we multiply by x in the equation.

Answer:

the shape would be a triangle

Step-by-step explanation:

any horizontal slice would create a triangle

No 4 is not a factor of 93 :)

let me know if this helped<3

Explanation: a factor is whether or not a number can be multiplied with another number, 4 cannot be multiplied by any number to evenly come out as 93, the way you can check this is by dividing 93 by 4, if it comes out as a whole number with no decimal or remainder than the number is a factor if it has a decimal or remainder it is not a factor

Answer:

No.

Step-by-step explanation:

The first method entails simply listing all factors of 93 and then seeing if 4 is one of them. The factors of 93 are 1, 3, 31, and 93. Looking at the list, you see that 4 is not on the list, and the answer to "is 4 a factor of 93?" is therefore no. For the second and perhaps easier method, we divide 93 by 4 to see if the quotient is a whole number or fractional number. If the quotient is a whole number, then 4 is a factor of 93. If the quotient is a fractional number, then 4 is not a factor of 93. 93 divided by 4 is 23.25 which is a fractional number. Thus, once again, the answer to "Is 4 a factor of 93?" is no.

Answer:

8.60

Step-by-step explanation:

the diagram is optically misleading.

how can the 5 side be longer than the 7 side ?

but ignore that.

the important thing is that this is a triangle with a 90 degree angle.

so, we use Pythagoras' formula : a^2 + b^2 = c^2

we know a and b as 7 and 5.

so, the equation is 7^2 + 5^2 = c^2

=> 49 + 25 = c^2

=> 74 = c^2

=> the missing side length c is

[tex] \sqrt{74} = 8.60[/tex]

Answer:

39

Step-by-step explanation:

rs-st= what is being added or subtracted, divided or mulitplied

This is Right answer.....

I hope you understand.....

Thanks....

Answer:

Exact form:

[tex]x=\sqrt{17} +3,-\sqrt{17} +3[/tex]

Step-by-step explanation:

Take the root of both sides and solve.