Factor completely.
-3x^2 +17x -20

Answer:

2. the answer is 5 because the square of 5 is 25 and 4 x 25 = 100 which is 20 x 5

Step-by-step explanation:

We are required to find the unknown number from the expression

2.

let

the number = x

four times the square of a number equals 20 times that number

4x² = 20x

Divide both sides by 4x

x = 5

The number is 5

3.

let

x = the unknown number

Twice the square of the sum of a number and 3 is 98

sum of a number and 3 = x + 3

square of the sum = (x+3)²

Twice the square = 2(x + 3)²

2(x + 3)² = 98

2(x² + 6x + 9) = 98

2x² + 12x + 18 = 98

2x² + 12x +18 - 98 = 0

2x² + 12x - 80 = 0

x² + 6x - 40 = 0

using factorization method to solve the quadratic equation

x² + 10x - 4x - 40 = 0

x(x + 10) - 4(x + 10) = 0

(x + 10) ( x - 4) = 0

x + 10 = 0 or x - 4 = 0

x = -10 or x = 4

Therefore, the unknown number is -10 or 4

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Answer

14 points/1 game

Which is equal to 14 points per game.

Step-by-step explanation:

Answer:

C.(3|-4)

Step-by-step explanation:

Answer:

1700

Step-by-step explanation:

Because it is above 1650, round up into the hundreds place, so it makes 1700!

If it is 1649 or below, you would round down to 1600.

Note: The hundreds place is the 3rd from the right, so use the two from the right to round!

Answer:

f=2

Step-by-step explanation:

Answer:

f ( x ) = 5

Step-by-step explanation:

Step 1:

f ( x ) = x + 2      Function

Step 2:

f ( x ) = 3 + 2      Input x

Answer:

f ( x ) = 5     Add

Hope This Helps :)

Answer:

There was a 25% increase.

Step-by-step explanation:

Answer:

1/3 or 0.3 (repeating decimal)

Step-by-step explanation:

The subtraction the fractions gives 1/3.

The fractions include two parts, numerator and denominator.

Numerator: It is the upper part of the fraction, that represents the sections of the fraction.

Denominator: It is the lower or bottom part that represents the total parts in which the fraction is divided.

Given that are two fractions 1/2 and 1/6, we need to subtract them,

Firstly, equating the denominators,

1/2 = 6/12

1/6 = 2/12

Therefore,

1/2 - 1/6 = 6/12 - 2/12

= (6-2)/12

= 4/12

= 1/3

Hence on subtracting the fractions we get 1/3.

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#SPJ2

Answer:

1. 35

2. 145

3. 55

4. 90

5. 145

Step-by-step explanation:

1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145

∠1 = 35

2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal

3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55

4. ∠5 = 90. It is given

5. 145: ∠9 = ∠2 because they are vertically opposite

Answer:

9 times 5 + c

Step-by-step explanation:

Answer:

It is Distributed property and False

Step-by-step explanation:

Complete Question

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 12%. There is only a 52% chance that she will find a tutor at such short notice

a What is the probability that Christine fails the course

b Christine ends up failing the course. What is the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability

Answer:

a

   [tex]P(F) =   0.264[/tex]

b

[tex]P(T | F ) = 0.23636 [/tex]

Step-by-step explanation:

From the question we are told that

The probability that Christine will fail the course if she does not have a tutor is [tex]P(F| T') = 0.42[/tex]

The probability that Christine will fail the course if she has a tutor is [tex]P(F| T) = 0.12[/tex]

The probability that she will find a tutor is [tex]P(T) = 0.52[/tex]

Generally the probability that she will not find a tutor is

[tex]P(T') = 1 - 0.52[/tex]

=> [tex]P(T') = 0.48[/tex]

Generally the probability of failing the course is

[tex]P(F) = P(F \ n \ T) + P(F \ n \ T')[/tex]

=> [tex]P(F) = P(F| T) * P(T) + P(A | T') * P(T')[/tex]

=> [tex]P(F) = 0.12 * 0.52 + 0.42* 0.48[/tex]

=> [tex]P(F) = 0.264[/tex]

Generally if Christine ends up failing the course the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability is mathematically represented as

[tex]P(T | F ) = \frac{ P(F | T) * P(T)}{ P(F)}[/tex]

=> [tex]P(T | F ) = \frac{ 0.12 * 0.52}{ 0.264}[/tex]

=> [tex]P(T | F ) = 0.23636 [/tex]

Answer:

roots are not real

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

Then the nature of the roots can be found using the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

Given

9x² - 6x + 2 = 0

with a = 9, b = - 6, c = 2 , then

b² - 4ac = (- 6)² - (4× 9 × 2) = 36 - 72 = - 36

Since b² - 4ac < 0 then the roots are not real

Answer:

34 divided by 2

Step-by-step explanation:

come onnnnnnnnnn

Answer:1

14

Step-by-step explanation:

substitue 60 into 1.6

y = 1.6(60) + 48

96 + 48

144

2

Answer:

-50

Step-by-step explanation:

2/5(j + 40) = -4

j+40 = -4 ÷2/5

j+40 = -10

j = -10 - 40

j = -50

Answer:

The answer is

[tex] \huge \frac{4}{5} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{11 - 7}{8 - 3} = \frac{4}{5} \\ [/tex]

We have the final answer as

[tex] \frac{4}{5} \\ [/tex]

Hope this helps you

Answer: It’s $15,219.20

a.k.a D at least that’s what it says on mine

Step-by-step explanation:

Hope this helps and just answered question correct on edg so yea

Answer:

DH, CG, BF

Explanation:

Since the question is asking which lines are parallel to AE and AE is a vertical line, you need to look at the other vertical lines that are making up the sides of the box. These vertical lines are 1. DH 2. CG 3.BF.

Hope this helps.

Dont use this website

Its a sham

Answer:

i) (121)^1/2 = 11;

11*11 = 121

ii) (12321)^1/2 = 111;

111*111 = 12321

iii) (1234321)^1/2 = 1111;

1111*1111 = 1234321

iiii) (123454321)^1/2 = 11111;

11111*11111 = 123454321

Answer:

The anwser is 10

Step-by-step explanation:

a negitive times a negitive equals a positive

Answer:

10

Step-by-step explanation:

I hope this helps!

Answer: invalid input

Step-by-step explanation:

If you're asking for improper, It's -6/5.

If you're asking for decimal. it's -1.2

If you're asking for mixed number, It's -1 1/5.

Answer:

-2/15

Step-by-step explanation:

Apply the fractions formula for addition, to

− 45 + 23

and solve

( −4 × 3 ) + ( 2 × 5 ) 5 × 3

= − 12 + 10/15

= −2/15

Therefore:

−45+23= −2/15

Answer:

3m^2-14m-8

Step-by-step explanation:

(m-4)(3m-2)=?

m(3m-2) = 3m^2-2m

-4(3m-2) = -12m-8

3m^2-2m-12m-8

3m^2-14m-8

Answer:

im not very sure what you marked off i cant really tell what it is in the middle of them

Answer:

4 times a number equals 2 plus 3 times a number

Step-by-step explanation:

I know this might not make sense but this is how most people put this in a sentence. :)

The function is expressed as:  "the product of a number and 3 increased by 2 is the same as the product of the number and 4"

Given the function 2 + 3n = 4n. We are to write this function as a statement:

Let "n be an unknown number.

Combining the statements, the function is expressed as:

"the product of a number and 3 increased by 2 is the same as the product of the number and 4"

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t²²

Hi there !

t¹²ₓ t¹⁰ = t¹²⁺¹⁰ = t²²

Good luck !