A parabola has a vertex at (–5, 0) and passes through the point (–3, 1). Which of the following is the equation of this parabola in the form y=a(x-h)^2+k?

Answer:

Step-by-step explanation:

6x² + 108x + 707  = 5

Subtract 707 from both sides

6x² + 108x = 5 - 707

6x² + 108x = - 705

Divide the whole equation by 6

[tex]\frac{6x^{2}}{6}+\frac{108x}{6}= \frac{-702}{6}\\\\x^{2}+ 18x = - 117\\[/tex]

Divide 18 by 2 = 9

Add 9² to both sides

x² + 18x + 9² = -117 + 9²

x² + 18x  + 81 = -117 + 81

(x + 9)² = - 36

Answer:

(x + 9)^2 = -36

Step-by-step explanation:

6x^2 + 108x + 707 = 5

6x^2 + 108x = -702

x^2 + 18x = -117

x^2 + 18x + (18/2)^2 = -117 + (18/2)^2

x^2 + 18x + 81 = -117 + 81

(x + 9)^2 = -36

She plays soccer and golf for a total of 125 minutes:

s + g = 125

She plays soccer 45 minutes more than she plays golf:

s = g + 45 this is for A

B= 40 minutes of golf everyday

C= Yes, because in fact, she plays 85 minutes of soccer everyday, and 85 is greater than 80, so yes she CAN play 80 minutes of soccer every day. Perhaps they meant possible to spend ONLY 80 minutes, then NO, that wouldn't be possible, because then by playing 45 minutes more soccer than golf, she wouldn't have played enough to have 125 total minutes of total play. Technically the way the question is worded, the answer is yes.

I hope this helps!

Answer:

x^2+2xy+y^2

Step-by-step explanation:

(x + y)(x + y)

FOIL

first x*x = x^2

Outer x*y = xy

inner: y*x = xy

last y*y = y^2

add together

x^2+xy+xy+y^2

Combine like terms

x^2+2xy+y^2

Answer:

[tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]

Step-by-step explanation:

(x + y)(x + y)

= (x + y)(x + y)

=(x)(x) + (x)(y) + (y)(x) + (y)(y)

= [tex]x^{2}[/tex] + xy + xy + [tex]y^{2}[/tex]

= [tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]

Hope this helps, please mark brainliest. :)

Answer:

243, 729, 2187

Step-by-step explanation:

Multiply the previous with 3

It's Geometric sequence

Brainliest please~

Answer:

44

Step-by-step explanation:

divide 24 by 6 then multiply it by all the number then add it all

please make me brainliest

Answer:

384 words per day

Step-by-step explanation:

If he already wrote 696 words out of 3,000 words, then he has another 2,304 words left to write. To know how many words he needs to write each day for the next 6 days, then we need to divide 2,304 words by 6. The quotient thus becomes 384 words.

Answer:

384 words per day

Step-by-step explanation:

3000-696=2304

So 2304 divided by 6 =348

Answer:

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

because your susy

Answer:

276.32

Like I have explained in a prev. Question of yours.

Answer:

The surface area of cylinder is 276.32 feet²

hope it helps

have a nice day

Answer:

Interest is the cost of borrowing money, and the money you earn from your savings.

Interest rates indicate this cost or return as a percentage of the amount you are borrowing or lending (since you are “lending” your savings to the bank)

#keep learning!!

Answer:

Complementary angle of 30° is 60°.

Step-by-step explanation:

The complementary angles are the angles whose sum is 90.

If one angle is x then the other angle is 90 - x, they both are complementary to each other.

One angle is 30°, so the other angle is 90° - 30° = 60°

Answer:

x = 35

Step-by-step explanation:

-6/5x-4=-46​

Add 4 to each side

-6/5x-4+4=-46+4

-6/5x=-42​​

Multiply each side by -5/6 to isolate x

-5/6 * -6/5x=-42 * -5/6​

x = 35

Answer:

x = 35

Step-by-step explanation:

-6 / 5x - 4 = - 46

Add 4 to each side

- 6 / 5 x - 4 + 4 = - 46 + 4

- 6 / 5 x = - 42

To find x, multiply 42 by 5 and then divide by 6.

x = 42 × 5 / 6

x = 7 × 5

x = 35

Answer:

A   G(x) = (x - 5)²

Step-by-step explanation:

Plug in x = 5 into the given choices

only G(x) = (x - 5)² correctly returns G(5) = 0

Answer:

Yes

Step-by-step explanation:

1. What

2. Even if that's an actual question, it doesnt make any sense

3. What

4. Even if that's an actual question, it's not math related

5. What

Answer:

1/4

Step-by-step explanation:

pitches >3

pitches=4,5

P=(15+10)/(15+20+40+15+10)=1/4

Answer:

0.45

Step-by-step explanation:

no. of outcomes = 4+5 = 9

favourable outcomes = 4

P(an apple) = 4/9

= 0.4444... or 0.45

Answer:

24 in^2

Step-by-step explanation:

To get the area of a triangle, multiply the base and height, then divide by 2.

Base=6

Height=8

6*8/2=48/2=24

24 in^2

Answer:

24 inch^2

Step-by-step explanation:

6 times 8 equals 48

Divide that by 2 and get 24

Area of Triangle is A=1/2bh

Can I get Brainliest, please!

Answer:

9 hours

Step-by-step explanation:

126 dived by 14 is 9, so it will take 9 hours to bake 126 cupcakes.

Answer: It will take maybe 9 hours

hope this helps :)

Step-by-step explanation:

Answer:

Everything will be split in threes. You can do this by either multiplying the cost by 1/3 or dividing by 3.

Step-by-step explanation:

Answer: X would be 84 degrees.

Step-by-step explanation: APB is a straight angle, which adds up to 180 degrees. TPQ is  90 degrees, and QPB is 32 degrees, so 180-90-32=58. APT is 58 degrees. APT and PTR are alternate interior angles, therefore they have the same angle measure. So PTR is also 58 degrees. A quadrilateral adds up to 360 degrees, so add up the three known angles in the quadrilateral, 58+90+128, which gives you 276 degrees. 360-276=84 degrees, therefore X would be 84 degrees.

Answer:

NOT  A or B

probably C ?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Lines are parallel...

Answer:

Non of the given options

A function that represent an exponential decay and 2 as the y-intercept is y = 0.85ˣ + 1

Step-by-step explanation:

An exponential decay function is a function that reduces in magnitude at a constant percentage rate, r (< 1)

An exponential decay can be represented by the formula, y = a·(1 - r)ˣ

Therefore, the growth factor, (1 - r) = b is less than 1 for an exponential decay

Therefore the function that represent an exponential decay is y = 0.85ˣ, while a function that represent an exponential decay and has a y-intercept of 2 is y = 0.85ˣ + 1. therefore, non of the options

Answer:

angle = 67°

Step-by-step explanation:

let

a = angle in degrees

(90-a) = complement

given

a = 2(90-a)+21

Solve for a

a = 180 - 2a + 21

3a = 201

a = 67°

Answer:

A

Step-by-step explanation:

The formula is 5*x=4*10. Then simplify to 5*x=40. Divide both sides by 5. x=8

Answer:

-(x-3)²+14

maximum

(3,14)

Step-by-step explanation:

y= -x²+6x+5

y-5= -x²+6x

y-5= -(x²-6x)

complete the square

y-14= -(x²-6x+9)

x²-6x-9= -(x-3)²

y-14= -(x-3)²

y= -(x-3)²+14

maximum because a is negative

vertex is (3,14)

Answer:

Step-by-step explanation:

17.

sin20° = [tex]\frac{1}{x}[/tex]

x = 1 ÷ sin20°

x ≈ 2.9238

cos20° = [tex]\frac{x}{y}[/tex]

y = x ÷ cos20°

y ≈ 2.9238 ÷ cos20° ≈ 3.11

18.

x = 2√3 ≈ 3.46

y = √3 ≈ 1.732

The probability associated with the shaded area under the curve is 0.6267

From the curve, we have the following parameters:

z1 = 0.4

z2 = 1.9

Using the standard normal table, determine the p values at the respective z-scores

P(z >0.4) = 0.3446

P(z<1.9) = 0.9713

The probability is then calculated using:

P = P(z<1.9) - P(z >0.4)

Substitute the known values

P = 0.6267

Hence, the probability associated with the shaded area under the curve is 0.6267

Read more about probability at:

https://brainly.com/question/15076391

Answer:

The standard normal table gives areas under the curve to the left of z-scores.

Find the probability in the standard normal table that a value is to the left of 1.9.

Find the probability in the standard normal table that a value is to the left of 0.4.

Subtract the probability of a value being to the left of 0.4 from the probability of a value being to the left of 1.9.

Answer:

ans: option b

Step-by-step explanation:

remember that,

For matrix addition or subtraction of two or more matrices must have same order and only operation done with corresponding elements,

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