Suppose a parabola has vertex (–8, –7) and also passes through the point (–7, –4). Write the equation of the parabola in vertex form.

Answer:

after cross multiplying is when u get 5a=16....then u divide by 5 throughout...also its best to convert 3.2 into fraction since the question is in fraction.....but whichever is still correct

hope its understood

Step-by-step explanation:

5 - n/2 = 12

10/2 - n/2 = 12

n = (12 × (-2)) + 10

n = (-24) + 10

n = -14

Let's prove it :

[tex]5 - ( - \frac{14}{2} ) \\ = \frac{10}{2} + \frac{14}{2} \\ = \frac{24}{2} \\ = 12[/tex]

Conclusion :

5 - n/2 = 12

5 - (-14/2) = 12

and

n = -14

Answer: 0.95 or 95%

Step-by-step explanation:

Answer:

0.95

Step-by-step explanation:

Answer:a universal set is the set containing all objects or elements and of which all other sets are subsets.

Step-by-step explanation:

Answer:

A set containing all objects or elements and of which all other sets are subsets.

Step-by-step explanation:

Step-by-step explanation:

shhhhh I don't want to go back into this country and climate it all in the world and bottom of all the sun and the world in which I am a place to go for a long period

Answer:

Fraction- 44/100 or 11/25

decimal- 0.44

Percent- 44%

Answer:

The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80

Step-by-step explanation:

Let the event that Pete studies be S.

Let the event that Pete passes the test be P.

The probability that he studies for his test and then passes it is P(S n P) = 7/10

The probability that Pete studies is P(S) = 7/8

The probability that Pete passes his test given that he studied = P(P|S)

The conditional probability, P(A|B) is given mathematically as

P(A|B) = P(A n B) ÷ P(B)

So, the required probability, P(P|S) will be

P(P|S) = P(P n S) ÷ P(S)

P(P n S) = P(S n P) = (7/10)

P(S) = (7/8)

P(P|S) = P(P n S) ÷ P(S)

= (7/10) ÷ (7/8)

= (7/10) × (8/7)

= (8/10) = (4/5) = 0.80

The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80

Hope this Helps!!!

Answer:

  B.  (-4, -8)

Step-by-step explanation:

Put -4 into the first equation where x is, then evaluate. You will find ...

  y = (1/2)(-4) -6 = -2 -6 = -8

Then the point that satisfies both equations is ...

  (x, y) = (-4, -8) . . . . matches choice B

___

You can eliminate choices A and D, because they don't have -4 for the x-value.

Answer:

336

Step-by-step explanation:

Number of people divide by minutes

35/25 =1.4

Then Change the 4 Hours to minutes.

Knowing that there 1 Hour = 60 Minutes

Thus, 4 x 60 = 240

Then 1.4 x 240 = 336

Hence, 336 people can ride that Ferris wheel in 4 hours.

[RevyBreeze]

Your question isn't clear. But I infer this is the clear rendering of it;

How many diagonals does a polygon have with 5 sides, but with 6 sides?

Answer:

a. For 5 sides= 5

b. For 6 sides= 9

Step-by-step explanation:

Remember, this is the formula to calculate the number of diagonals of a polygon;

n (n-3) / 2 where n is the sides.

Thus,

for 5 sides= 5 (5-3) /2

= 5 (2) /2 = 10/2= 5

for 6 sides= 6 (6-3) /2

= 6 (3) /2 = 18/2= 9

Answer:

n<4

Step-by-step explanation:

Answer:

[tex]n < 4[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} n + 3 < 5 \\ subtract \: 3 \: from \: both \: sides \\ \\ \frac{1}{2} n < 2 \\ divide \: both \: sides \: by \: \frac{1}{2} \\ \\ n < 4[/tex]

Answer:

2nd one is the correct answer

Step-by-step explanation:

[tex] { \tan}^{2} ( \theta) + 1 = { \sec}^{2} ( \theta) \\ [/tex]

Answer:

b

Step-by-step explanation:

Answer:

Eff

Step-by-step explanation:

Fraction is a part of a whole, telling us how many parts of a whole we have. It can be converted to percentage or decimal.

Eff scored a 23/25 on his math test. Converting to percentage, eff score = 23/25 * 100% = 92%

Maria scored 21/24 on her math test. Converting to percentage:

Maria score = 21/24 * 100% = 87.5%

Jake scored 17/20 on his math test, converting to percentage:

Jake score = 17/20 * 100% = 85%

The person with the highest score has the highest percentage which is Eff with 92%.

Answer:

Eff had the highest score.

Step-by-step explanation:

The approach to determine who get the same score is converting each fraction to an arbitrary scale, which is 100 for this problem. Now, the conversions are presented below:

Eff

[tex]x = \frac{23}{25}\times 100[/tex]

[tex]x = 92[/tex]

Maria

[tex]x = \frac{21}{24}\times 100[/tex]

[tex]x = 87.5[/tex]

Jake

[tex]x = \frac{17}{20}\times 100[/tex]

[tex]x = 85[/tex]

Eff had the highest score.

Answer:

1680 ways.

Step-by-step explanation:

This question is solved using Permutation formula.

Permutation formula is given as

nPr = n! / (n -r)!

In the above question we are to find how many ways we can answer 8 multiple choice questions with 4 options(A, B,C,D)

Therefore,

n = 8 multiple choice questions

r = 4 options

nPr = n! / (n - r)!

8P4 = 8! / ( 8 - 4) !

8P4 = 8! / 4!

8P4 = (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (4 × 3 × 2 × 1)

8P4 = 40320 / 24

8P4 = 1680 ways

Therefore, the number of ways to answer 8 multiple choice questions with 4 options (A, B, C, D) for each is 1680 ways.

Answer:

65,536 ways.

Step-by-step explanation:

The Fundamental Counting Principle states that:

"If decision M can be made m ways and decision N can be made n ways, then the two decisions can be made m⋅n ways"

Therefore, we can create a model of the eight questions by drawing eight blanks:

_ _ _ _ _ _ _ _

Then, filling in each "question" with the number of options for each, which is four:

4 4 4 4 4 4 4 4

And finally, we can multiply the fours together, which would be 4⋅4⋅4⋅4⋅4⋅4⋅4⋅4 or 4⁸, which is equal to 65,536.

I hope this helps! :D

Answer:

I'm not too sure, since I'm doing the same thing in math now too. I think it's since you're adding another number that is a perfect square in order to factor the quadratic equation.

Step-by-step explanation:

Answer:

3. 72 degrees

Step-by-step explanation:

We can convert the values to percentage values and since a circle is 360°, we can multiply the percentages with 360° to get the degrees. The total of day is all the the things added up:

= 13+6+7+4=30

Percent swimming:

=(6/30) times 360= 72

Answer is 72 degrees

Answer:

Step-by-step explanation:

swim = 6/30=  0.2 -> 0.2*360 = 72 degree

run = 13/30= 0.433 -> 0.4333 *360 = 156 degree

lift weight = 7/30 = 0.23333 -> 0.23333 *360 = 84 degree

ride bike = 4/30 =  0.133333 -> 0.133333 *360 = 48 degree

Answer:

- (19/3)

Step-by-step explanation:

-3-5-6g=11-3g

-8-6g=11-3g

-3g=19

g= - (19/3)

answer

9x14y20

reason

Answer:

37

Step-by-step explanation:

The cosine of an angle is the length of the adjacent side, in this case x, divided by the length of the hypotenuse, in this case 85. So you can set up the following equation:

[tex]\cos 64.2^{\circ}=\dfrac{x}{85}[/tex]

[tex]x\approx 37[/tex] units

Hope this helps!

Answer:

It’s 7 or I could be 1/9

Step-by-step explanation:

Answer:

∅ = 67.71°

Step-by-step explanation:

The flag pole is 20 ft tall is casting a shadow that is 8.2 ft long .At what angle is the sun hitting the ground. The illustration forms a right angle triangle.

The right angle triangle has an hypotenuse, opposite and adjacent sides. The flag height forms the opposite side. The shadow forms the adjacent side . The angle the sun is hitting the ground can be using SOHCAHTOA principle.

using Tan

tan ∅ = opposite / adjacent

tan ∅ = 20/8.2

tan ∅ = 2.4390243902

∅ = tan⁻¹ 2.4390243902

∅ = 67.7063708403

∅ = 67.71°

Answer:

11/15

Step-by-step explanation:

Answer:

11/15

Step-by-step explanation:

Have a good day! <33333

Step-by-step explanation:

• 10% of 5000

[tex] = 10\% \times 5000 \\ = \frac{10}{100} \times 5000 \\ = 10 \times 50 \\ = 500[/tex]

So, 10% of 5000 is 500

• 5% of 5000

[tex] = 5\% \times 5000 \\ = \frac{5}{100} \times 5000 \\ = 5 \times 50 \\ = 250[/tex]

So, 5% of 5000 is 250

10% of 5000 is 500, and 5% of 5000 is 250. These calculations are done by converting the percentages into decimals and then multiplying by the total amount.

Therefore, 10% of 5000 is 500.

To calculate 5% of 5000, you can take half of the 10% value or multiply 5000 by 0.05:

Therefore, 5% of 5000 is 250.

Answer:

45:15=9:3=3:1

9:3=3:1

3:1 stays the same.

1:3 stays the same.

4:1 stays the same.

The simplify ratios such as 45:15 and 9:3. The simplified form of 45:15 and 9:3 is 3:1. The correct option is B.

To write the ratio 45:15 in the simplest form, you have to divide both numbers by their greatest common divisor (GCD), which in this case is 15.

So, 45 divided by 15 is 3, and 15 divided by 15 is 1, which gives us the simplified ratio of 3:1.

[tex]\frac{45}{15} = \frac{3}{1}[/tex]

For the ratio 9:3, again, we divide both numbers by their GCD, which is 3, resulting in the simplified ratio 3:1.

The ratio 3:1 is already in its simplest form.

1:3 is the simplest form and 4:1 is the simplest fraction.

X-4/3 <= 5

Multiply both sides by 3:

X-4 <= 15

Add 4 to both sides:

X <= 19

The answer is the third one.

Answer:

Options?

Step-by-step explanation:

Answer:

1350

Step-by-step explanation:

The formula says

Interest earned=deposited amount ×interest rate × time

Interest earned=3,000×0.03×15=1350

Answer:

$3122.00

Step-by-step explanation:

Since we have been given that

Initial amount deposited into a savings account each year = $500

Rate of interest compounded annually = 7.5%

Number of years = 5 years

So, Amount in the account at the end of the fifth year would be:

A = P( 1+r )^5} - 1

500{(1+7.5/100) - 1 }÷ ( 7.5/100)} (1+7.5/100)

500{( 1.075^5 -1/0.075} × 1.075

500( 1.4356 -1/0.075) × 1.075

500( 0.4356/0.075) × 1.075

500(5.80839)×1.075

= 3122.01

$3122.00

Answer:

2

いたち うちあ

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

f(x) = 5x-3

Let x = 5

f(5) = 5*5-3

f(5) = 25-3

    = 22

Answer:

13.8 days

Step-by-step explanation:

In this case we can solve it by means of a rule of three, knowing the amount of life for 1000 grams, it must be proportional for 600 grams, like this:

grams   days

 1000     23

 600        x

x = 600 * 23/1000

x = 13.8

which means that for the 600 grams it would be an average life of 13.8 days.