what is y=x^2-9x+20 I need the answer for this while I'm still learning this slowly

Answers

Answer 1

Answer:

x=5    x=4

Step-by-step explanation:

y=x^2-9x+20

Set equal to zero

0 =x^2-9x+20

Factor

What two numbers multiply to 20 and add to -9

-5*-4 = 20

-5+-4 = -9

0=(x-5) (x-4)

Using the zero product property

x-5 =0    x-4 =0

x=5    x=4


Related Questions

Câte diagonale are un poligon cu 5 laturi, dar cu 6 laturi?

Answers

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

— 3 — 5 — 6g = 11 – 3g

Answers

Answer:

- (19/3)

Step-by-step explanation:

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

-8-6g=11-3g

-3g=19

g= - (19/3)

A dad buys a ball and a team cup for each of the 10 players on the dodgeball team. Each team cup costs $8.50. The dad spends a total of $279 for the balls and team cups. Write an equation that models the situation with u, the cost of one ball.

I don't know if its 279 = 8.50 + 10u Help

Answers

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

Express the shaded area as a fraction, a decimal, and as a percent of the whole .

Answers

Answer:

Fraction- 44/100 or 11/25

decimal- 0.44

Percent- 44%

What is 7 squared in standard form

Answers

Answer:

49

Step-by-step explanation:

7 times 7 is 49.

standard form of 7 squared is [tex]7^{2}[/tex].

What is Standard Form?

Standard form is a way of writing a number, so it is easier to read. It is often used for very large or very small numbers. We use exponents to represent such numbers in standard form.

7 squared is written in the standard form as,

[tex]7^{2}[/tex] , where 7 is base and 2 is the exponent.

Learn more about standard form here:

https://brainly.com/question/9055779

#SPJ5

Diego has $100 and spends ¼ of it. How much does he have left?

Answers

Answer:

$75

Step-by-step explanation:

Answer:75

Step-by-step explanation:

Which equation matches the table of values?

Answers

Y =6x is the equation

Pete is a very good student . The probability that he studies for his test and then passes it is 7/10 If the probability that Pete studies is 7/8 find the probability that Pete passes his test? given that he studied.

Answers

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!!!

What is the decimal form of 19/20

Answers

Answer: 0.95 or 95%

Step-by-step explanation:

Answer:

0.95

Step-by-step explanation:

What is a universal set​

Answers

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:

You discovered 1000 grams of an unknown element called Coolium 23 that has a half life 23 days. How long will it take for you to have 600 grams remaining.

Answers

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.

A Ferris wheel can accommodate 35 people in 25 minutes. How many people can ride that Ferris wheel in 4 hours? What is the rate per hour? Please I need help

Answers

336
60*4=240
35/25=1.4
1.4*240=336

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]

A quiz has eight multiple choice questions with four options for each ( A B C & D ) how many ways are there to answer the question

Answers

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

A flagpole is 20 feet tall is casting a shadow that is 8.2 feet long at what angle is the sun hitting the ground

Answers

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°

Y=1/2x-6
X=-4
What is the solution to the system of equations
A. (-8,-4)
B.(-4,-8)
C.(-4,4)
D.(4,-4)

Answers

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.

Simplify (3xy^6)^2(x^3y^2)^4

Answers

answer

9x14y20

reason

Leonard makes a $3000 deposit for 15 years at a simple interest rate of 3%. What is the amount of interest earned?

Answers

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

What is the missing dimension of the reduced rectangle if the original rectangle is 17/8 by 11/6 and the reduced rectangle is 17/20 by x

Answers

Answer:

11/15

Step-by-step explanation:

Answer:

11/15

Step-by-step explanation:

Have a good day! <33333

1. Write the ratio in the simplest form. (1 point)
45:15
9:3
3:1
1:3
4:1

Answers

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.

Help please.........

Answers

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!

Solve for X Tysm!! I need help ASAP

Answers

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.

10% of 5000 is......
And 5% of 5000 is.....

Answers

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.

Write the percentage as a decimal: 10% = 0.10.Multiply the decimal by the total amount: 0.10 * 5000 = 500.

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:

Write the percentage as a decimal: 5% = 0.05.Multiply the decimal by the total amount: 0.05 * 5000 = 250.

Therefore, 5% of 5000 is 250.

why is completing the square called 'completing the square'?

Answers

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:

What is the solution to the equation below?
5 - n/2 = 12

Answers

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

Out of the 30 days in June, you run 13 days and swim 6 days. You lift weights 7 days and ride a bike 4 days. If you make a pie chart to show this data, how many degrees of the circle should represent swimming?

Answers

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

Which Pythagorean identity is correct?

Answers

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:

To save for a car when he turns 18, Pascale deposited $500 each year into a savings account with a 7.5% interest rate compounded annually.
Using the formula A = P (1 + r) Superscript t, what is the value of the account at the end of the fifth year?
A.$3,071.92
B.$3,122.00
C.$3,851.77
D.$4,140.65

Answers

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

solve 1/2n + 3 < 5 ??

Answers

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]

Two lines defined by the equations $y = mx + 4$ and $y = 3x + b$, where $m$ and $b$ are constants, intersect at the point $(6, 10)$. What is the value of $b + m$?

Answers

Answer:

-7

Step-by-step explanation:

The two lines intersect at the point (6,10), so this point belongs to both lines. This means that if we use the value of x = 6 in the lines, we will find y = 10

So we can use this point to find the values of b and m:

y = mx + 4

10 = 6m + 4

6m = 6

m = 1

y = 3x + b

10 = 3*6 + b

b = 10 - 18 = -8

So the value of b + m is -8 + 1 = -7

After substituting the intersection point (6, 10) into both line equations and solving for m and b respectively, we find that the value of b + m is -7.

To find the value of b + m when two lines intersect at the point (6, 10), we can substitute the coordinates of the intersection point into both line equations. Since the coordinates (6, 10) must satisfy both equations, we have:

For the first equation y = mx + 4:
10 = m*6 + 4,
which simplifies to:
m = 1.

For the second equation y = 3x + b:
10 = 3*6 + b,
which simplifies to:
b = -8.

Having both values, we can now calculate b + m:
b + m = (-8) + 1 = -7.

The value of b + m is -7, which represents the sum of the y-intercept of the second line and the slope of the first line.

The quantities x and y are proportional Find the constant of proportional (r) in the equation y=rx
x y
11 1 2/9
21 2 1/3
45 5

Answers

Answer:

It’s 7 or I could be 1/9

Step-by-step explanation:

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