Round 1sf 0.48x1594.3

Answer: YE

Step-by-step explanation:

TOTALLY

The quadratic function that has x-intercepts at x = 3, and x = -5 that

passes through the point (1, -12) is f(x) = x² + 2·x - 15.

The intercepts of the graph of the quadratic function are x = 3 and x = -5

The point through which graph passes is (1, -12)

Required:

The equation of the quadratic function.

Solution:

Given that the intercepts are x = 3, and x = -5, we have;

x = 3, and x = -5 are the zeros of the quadratic function, which gives;

Factors of the quadratic function are; (x - 3) and (x + 5)

From which we have;

(x - 3) × (x + 5) = x² + 2·x - 15 is a factor of the quadratic function

When x = 1, we have;

1² + 2 × 1 - 15 = -12

Therefore, the point (1, -12) is a point on the quadratic function x² + 2·x -

15 that has intercepts at x = 3, and x = -5

The equation of the quadratic function is therefore;

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Answer:

Step-by-step explanation:

tan 36° = x/40

x = 40 * tan 36°

x ≈ 29.1

Answer:

She used the AA theorem because the two interior angles B and D are equal to 85 degrees. ABC and EDC are equal because they are vertically opposite angles.

ABC=EDC

ABC~EDC By AA criterion of similarity

AB/ED = AC/EC Because the corresponding sides of similar triangles are proportional.
Suppose (DE) =105 ft. Calculate the distance of (AB) . Show your work. Don’t forget to label your answer.

The answer is AB= 903

105=DE 25=DC 215=CB 903=AB

105/25= 4.2

4.2 * 215 = AB=903

Step-by-step explanation:

Work Shown:

a+x = 180

120+x = 180

x = 180-120

x = 60

Side note: angles 'a' and x are same side interior angles, which are supplementary whenever we have parallel lines like this.

Answer:

a)3.17

Step-by-step explanation:

√101=10.04

10.04 ÷10

=3.17 you have to convert 10.04

Answer:

C;  (5, 7)

Step-by-step explanation:

Answer: 132 square units

Step-by-step explanation:

Area of a trapezoid:

a = top base; b = bottom base; h = height

[tex]A=\frac{a+b}{2}+h[/tex]

Find the bases and the height:

b: 21 (given)

h: 8 (given)

a: find from the bottom

need to find the only not given value by subtracting the values we know. (this might be a little confusing but I think it'll be easier if you look at the original picture)

21 - 9 - 3 = 9

add the new number with the given length of the top base

9 + 3 = 12

Substitute the values into the equation:

[tex]A=\frac{a+b}{2}+h\\[/tex]

[tex]A=\frac{12+21}{2}+8[/tex]

(I used a calculator to find it out)

Area = 132 square units

Answer:

9g + 7

Step-by-step explanation:

12g - 3g + 7

collect like terms

9g + 7

Answer:

On edge

Step-by-step explanation:

That's your answer

Answer:

7.2

Step-by-step explanation:

14 = c

12= b

√(c² - b²)

12 x 12 = 144

14 x 14 = 196

196-144 = 52

√(52) = 7.21110255093

Answer:

x ≈ 7.2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 12² = 14²

x² + 144 = 196 ( subtract 144 from both sides )

x² = 52 ( take square root of both sides )

x = [tex]\sqrt{52}[/tex] ≈ 7.2 ( to the nearest tenth )

Step-by-step explanation:

[tex] \frac{ \sqrt{39} {y}^{2} }{ \sqrt{3} } = \frac{ \sqrt{3} \sqrt{13} {y}^{2} }{ \sqrt{3} } = \sqrt{13} {y}^{2} [/tex]

Answer:

No, Luca is not correct. It's actually 100x larger.

Step-by-step explanation:

When you go to the left, the value of the digits increase.

9 in the tens place means 90, and 9 in the thousands means 9000.

In Gale's number, 9 is in the hundreths place.

In Luca's number, 9 is in the ones place.

9 in the hundreths means 9/100.

9 in the ones mean 9.

Answer:

1. Jesse will have to pay $55.93 in sales tax. $854.93 in total.
(799 x 0.07 = 55.93)

2. Heather will pay $1.25 in sales tax. $26.25 in total.

(11 + 14 = 25. 25 x 0.05 = 1.25)

3. Juan will pay $42.54 in sales tax. $751.54 in total.

(650 + 59 = 709. 709 x 0.06 = 42.54)

4.  Patricia left a $3.60 tip.
(24 x 0.15 = 3.60)

5. Logan's father left a $2.80 tip.
(10.50 + 3.50 = 14. 14 x 0.20 = 2.80)

6. The sales price of the DVD will be $16.80.
(24 x 0.30 = 7.20. 24 - 7.20 = 16.80)


I hope this helped. :)

Answer:

yes they will be parallel lines. no there is not a way to reflect them to make them not parallel because they will never ever cross.

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

Why is the classmate correct?

The reason why the classmate is correct is that everything can turn 360 degrees. This means that a square, has to turn 360 degrees, and it does that by doing 90x4. This means that it has 90-degree angles, which turn 4 times. And that makes 360. That's how this is also correct. Because this classmate turned a figure 270 degrees clockwise, and also, 360-270=90, which means that turning that figure 90 degrees counter-clockwise will make it in that same position.

To check whether this is right or not, take an object, probably like a book. Then turn it 90 degrees to counter-clockwise, and note down the position, that the front of the book is now facing left, and the back of the book is now facing right. Then, turn it back to normal position, (back of the book facing you), then, turn it 3 times 90 degrees towards Clockwise, in that way, you can see, that the book turns in the same way it did when you did 90 degrees counter-clockwise!

Thanks!

Answered by: FieryAnswererGT

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Answer:

25, right, 5, 3, 4,

Step-by-step explanation:

5^2 = 5*5 = 25

the triangle has a right angle and is therefore a right triangle,

the sides of the squares that make up the triangle are length 5, length 3, and length 4

Answer: x = 1, -3

Solution in the picture

Answer: 4.2 kilometers after 3 minutes bc its 1.0729 kilometers after 1 minute. then it doubles every minute .

Step-by-step explanation: speed= distance divided by time method

The speed is the distance covered by an object at a particular time.  Millie speed after three minutes will be equal to 16 miles per hour.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given that Millie doubles her running speed every minute. Also, her starting speed is 2 miles per hour. Therefore, her speed in different time period can be written as,

Speed after 1 min = 2 × 2 miles per hour

                              = 4 miles per hour

Speed after 2 min = 2 × 4 miles per hour

                              = 8 miles per hour

Speed after 3 min = 2 × 8 miles per hour

                              = 16 miles per hour

Hence, Millie speed after three minutes will be equal to 16 miles per hour.

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Answer:

Each text costs 5 cents ($0.05)

Step-by-step explanations:

To find the cost of one text, divide the $6.00 by 120.

You will come up with 0.05, meaning the correct answer is 5 cents

The cost of each text message is 0.05 dollar.

What is Unitary Method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Cost of 120 text messages = $6

So, price to pay for 1 text message is

=6/120

=1/20

= 0.05 dollar

Hence, the cost of each text message is 0.05 dollar.

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Answer:

Step-by-step explanation:

The sum of angles in a triangle is 180°. In an isosceles triangle, the base angles are congruent.

For this, it is easiest to find the base angles first. If we let b represent the measure of one of them, the sum of angles is ...

  2b +42 = 180

  b +21 = 90 . . . . . . divide by 2

  b = 69 . . . . . . . subtract 21

The measure of the base angles is 69°.

__

Then we can find the value of x from its relation to the base angle measure:

  (2x +3)° = 69°

  2x = 66 . . . . . . . . . divide by °, subtract 3

  x = 33 . . . . . . . . divide by 2

The value of x is 33.

Answer:

x = 33

each base angle measures 69°

Step-by-step explanation:

Answer:

28 is 160% of 17.5

Step-by-step explanation:

The value of number is, 17.5

That is, 28 is 160% of 17.5.

We have to give that,

To find 28 is 160% of which number.

Let us assume that,

A number = x

Hence, We can write as,

28 = 160% of x

Solve for x,

28 = 160/100 × x

Multiply by 100,

28 × 100 = 160x

2800 = 160x

160x = 2800

Divide into both sides by 160,

x = 2800/160

x = 280/16

x = 140/8

x = 70/4

x = 35/2

x = 17.5

Hence, The solution of the number is, 17.5

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Step-by-step explanation:

you mean, solve the inequality ...

it works the same way as with equations.

6x >= 24

x >= 4 (after dividing both sides by 6)

the only thing different is when you multiply (or divide) both sides by a negative number. then you have to turn the inequality sign around (< becomes >, <= becomes >=).

but other than that it is all as with regular equations.

Answer:

Volume =270

Step-by-step explanation:

[tex]volume = ( \frac{1}{2} \times a \times b) \times h [/tex]

[tex] = ( \frac{1}{2} \times 3 \times 10) \times 18 \\ divide \: 2 \: and \: 10 \: by \: 2 \\ = (1 \times 3 \times 5) \times 18 \\ (15) \times 18 \\ = 270[/tex]

Answer:

Step-by-step explanation:

2 2/3

Answer:

D

Step-by-step explanation: