Expand and simplify
(3y - 2)(y + 3)

Answer:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Step-by-step explanation:

Answer:

x=-b/2a

Step-by-step explanation:

axis of symmetry is the line that across the vertex from a parabola(ax^2+bx+c).

The expression to find vertex is -b/2a

Thus, x=-b/2a is a vertical line that across the vertex aka the axis of symmetry.

Answer:

Consider 3 consecutive integers: (smallest) x, x+1 and x+2 (largest)

Step-by-step explanation:

Five times the smallest means 5x

Sum of the largest and five times the smallest means x+2+5x

This sum is -244 means x+2+5x=-244

Solve this equation

x+2+5x=-244

6x+2=-244

6x=-244-2

6x=-246

x=-41

So, smallest number is -41, second is -40 and largest is -39

You're answer is -39+5(-41)=244

Answer:

3

Step-by-step explanation:

i think because 12-9=3

Answer:

it would have to be A I think

Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

The length of the sand dune is 88 feet.

Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

We have,

Hypotenuse = 137 feet

One side length:

Horizontal length = 105 feet

Another side length = side = length of the sand dune.

Using the Pythagorean theorem we get,

137² = side² + 105²

18769 = side² + 11025

side² = 7744

side = √7744

side = 88 feet

Thus,

The length of the sand dune is 88 feet.

Learn more bout the Pythagorean theorem here:

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Answer:

the answer would be 160H

The cost of a job that lasts 1.5 hours is  $ 192.5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The charge of each job by the plumbing company = $ 95

The charge on each hour for each job = $ 65

The equation for the cost of a job is = 65h + 95

where h is the number of hours for the job

Now , to calculate the cost of job that lasts 1.5 hours ,

substitute the value of h as 1.5

And , the equation becomes

= 65h + 95

= 65 ( 1.5 ) + 95

= 97.5 + 95

= $ 192.5

Hence , the cost of a job that lasts 1.5 hours is  $ 192.5

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Answer: 29

Step-by-step explanation:

Answer:

The price after the discount is $600

The amount discounted off is $200

Step-by-step explanation:

Answer:

50 kilometres towards west .......

i guess

Answer:

The measurement of angle B is 135°

The measurement of angle A is 60°

The measurement of angle C is 75°

Step-by-step explanation:

Angle A is the same value of 60, Angle B is pretty much just 180 - 45, and so is angle C.

Answer:

Answer:

B)15 yards

Step-by-step explanation:

We can solve this using Pythagoras theorem as

Let

Width of the pool= c

Length of diagonal of swimming pool =b

Length of the pool= a

c^2= b^2 + a^2

c^2 - b^2 = a^2

C^2 = 29^2 - 25^2

C^2=( 841-625)

C= √216

( Width of the pool)=15 yards

Hence, measurement is closest to the width of the pool is 15 yards

Answer:

A. (0,4)

Step-by-step explanation:

You can calculate the y intercept when x = 0.

Substitute 0 for x:

y = (-4/3)(0) + 4

= 0 + 4

= 4

Answer:

[tex]\boxed {\boxed {\sf 480\textdegree}}[/tex]

Step-by-step explanation:

First, remember that π radians is equal to 180 degrees. Therefore, to convert from radians to degrees, multiply by 180/π.

The radian measure given is 8π/3

[tex]\frac {8 \pi}{3} * \frac{180}{\pi}[/tex]

Multiply the fractions. Multiply across the numerator, then across the denominator.

[tex]\frac{8 \pi *180}{3 * \pi}[/tex]

The pi in the numerator and denominator will cancel out.

[tex]\frac{8 *180}{3 }[/tex]

Multiply.

[tex]\frac{1440}{3}=480[/tex]

The radian measure 8π/3 is equal to 480 degrees.

Answer:

No Solution

Step-by-step explanation:

Simplify  6−3  to  3.

5×3=6+3

Simplify 5×3  to 15.

15=6+3

Simplify  6+3 to 9.

15=9

Since 15=9 is false, there is no solution.

No Solution

Answer:

[tex](4 \div \frac{1}{2}) = 4 \times 2 = \boxed 8✓\\[/tex]

Answer:

8 is the answer

Step-by-step explanation:

4=whole number

1=numerator

2=denominator

when we do reciprocal it became

4x2/1=8/1

so the answer is 8/1

decimal from 8/1=8

8/1 is an improper fraction and be written as 8

I hope it helps you

Answer:  bigger number is 48 and smaller number is 36

Step-by-step explanation:

Answer:

Step-by-step explanation:

As the larger number is twelve more  than a smaller, so

x = y + 12

As the sum of larger and smaller numbers is 84, so

x + y = 84

now substituting x = y + 12 in th equation x + y = 84

x + y = 84

(y + 12) + y = 84

2y + 12 = 84

subtract 12 from both sides

2y + 12 - 12 = 84 - 12

2y = 72

divide both sides by 2

2y/2 = 72/2

y = 36

Thus,

Answer:

1 calculator cost £12  

120 divided by 10 = 12

now 8 x 12 = £96

8 calculators cost £96

Step-by-step explanation:

Answer:

£96

Step-by-step explanation:

If you have 10 calculators which cost £120, you just need to divide 120 by 10 which will give you 12. Since 8 is only 2 away from 10, you just need to times 12 by 2, giving you 24, then take that away from 10! Hope this helped!

Answer:

2/3x+5=y

Step-by-step explanation:

We already know that this has to be linear and that its y-intercept is 5 ((0,5) is a point on the table). That means that the equation is

mx+5=y.

Now all we need to do is plug in some points.

3m+5=7

(Subtract 5 from both sides)

3m=2

m=2/3

Answer:

the answer would be 3.15

Step-by-step explanation:

Answer: 120

Step-by-step explanation: This answer is 120 because you multiply the three hours by the $40 you earn an hour and you get your product.

Hope this helps

Answer

Are you sure the 31° is not a typo. It would make sense is the angle was 30° to solve for the other sides. Or do you know one more side, because then it could be solved by the Pythagorean theorem

Step-by-step explanation:

Sorry if my answer is wrong

Answer:

Thursday, 28th Jan 2021

8.38 PM

the answer in the photo

izin cerita guys,

jadi sebenernya ga ada yg namanya "kebetulan" ya kan?

hmm, jadi udah takdir ya kan?

sbnernya gw mau kenalan, tapi malu.

hmm

yoi

kalian pernah minum air cuka? yang itu lohh enak

mampir ke Palembang bung :v

yoo biso kan kito ketemu :v

sekian. btw joke kalian garing bro.

ganteng doang, .... (isi sendiri)

Answer:

31

Step-by-step explanation:

775 yards divided by 25 is equal to 31 meaning 25 can go into 775 31 times

Answer:

in what? if you meant 8 hours in 24 hours than 3 times

Step-by-step explanation:

Answer:

The answer is 3 times.

Step-by-step explanation:

[tex]since \: 8 \times 3 =24

then \: you \: can \: fit \: 8 \: hours \: 3 \: times \: in \: 24 \: hours.[/tex]

Answer:

x=5.2

Step-by-step explanation:

IN decimal form x=5.2 in mixed number form x=5 1/5

Answer:

x=5.2

Step-by-step explanation:

30-5x=4

First, subtract 30 from both sides of the equation

Then divide by -5 to both sides of the equation

Checking your answer

Answer:

60%

Step-by-step explanation:

18/30 = 3/5 100 divided by 5 =20 x 3=60%

Answer:

I'm just assuming here ok so I'm sorry if I'm wrong but I think it took them 12hrs