Write an equation in slope-intercept form of the line that passes through (-5, 5) and (5, - 5).
An equation is

B(x) as a product of linear factors is B(x) = (x+2)(x+7)(x-1)

The linear factors of a polynomial are the first-degree equations that are the building blocks of more complex and higher-order polynomials. Linear factors appear in the form of ax + b and cannot be factored further.

if ( x+2) is a factor of the polynomial, then x+2 can divide the polynomial without remainder.

see attached document for detailed division of the polynomial [tex]x^{3}+8x^{2} +5x-14[/tex].

In conclusion B(x) as a product of linear factors is B(x) = (x+2)(x+7)(x-1)\

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Answer: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(5,−2),(−3,−10)

Equation Form:

x=5,y=−2x=5,y=-2

x=−3,y=−10x=-3,y=-10

Maybe want something different then here:

X intercepts- (7,0)

Y intercepts- (0, -7)

Answer:

$1984.80

Step-by-step explanation:

165.40 times 12 equals 1984.80

Answer:

He pays $1984.80 on his loan in one year.

Step-by-step explanation:

If he pays 165.40 per month, and there are 12 months in one year, then we must multiply the values together.

165.4*12 = 1984.8

He pays $1984.80 on his loan in one year.

The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

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Answer:

1,519

Step-by-step explanation:

96 ( 32 ÷ n ÷ 2 ) –s –t^r

since n = 4, r = 3, s = 9, and t = 2. we will just substitute for the values like this

96 ( 32 ÷ (4 ÷ 2) ) –9 ( –2³)

96 ( 32 ÷ 2 ) –9 –8

96 ( 16 ) –17

=1,536 –17

=1,519

i hope i helped

Answer:

Your answer is [tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

(attached)

Answer:

[tex]1 \frac{1}{3}[/tex] or 4/3 or 1.3333...

Step-by-step explanation:

1/2--5/6

When you subtract a negative, it is the same as adding a positive. 1/2+5/6

Create like denominators:

3/6+5/6

Simplify:

8/6

1 1/3 or 1.3333...

Answer:

g-games

r-rides

1.5 g + 2.5r= 16.5

g=2r

Step-by-step explanation:

g: # of games played

r: # of rides ridden

total amount spent:  1.50g + 2.50r = 16.50

relationship of games to rides: g = 2r

Hope this helped! :D

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The number of games is 3.

The number of rides is 8.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of rides = m + 5

Number of games = m

Now,

Each game costs $1.50 and each ride costs $5. Isaac spent $44.50 altogether at the carnival.

This means,

1.50m + 5(m + 5) = 44.50

1.50m + 5m + 25 = 44.50

6.50m = 44.50 - 25

m = 19.5/6.50

m = 3

Now,

The number of games = 3.

The number of rides.

= m + 5

= 3 + 5

= 8

Thus,

The number of games is 3.

The number of rides is 8.

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Answer:

P-2l/2=w

Step-by-step explanation:

P = 21 + 2w

Solve for w

Subtract 21 from both sides.

P - 21 = 2w

Divide both sides by 2.

P-21/2 = w

Answer:   -4,-2

Step-by-step explanation:

(i)Take y-5=-4x

Make y as subject of formula i.e. y=-4x+5

Now compare it with y=mx+c

Then Slope m=-4

(ii) 3y-9=-6x

Making y as subject of formula i.e. 3y=-6x+9

Divide through by 3

then it will become y=-2x+3

Now comparing it with y=mx+c

then Slope m=-2

Answer:

---------------------

Use the given values in the table and find the missing ones.

The first two rows add up to the last row and same for the columns.

1) Find the Row total for Males:

2) Find the number of Males not enrolled in Composition 1:

Correct choice is A.

Answer: -6 ÷ -2    ,  (-1)(-3)  ,  and 4 + 1

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Slope is rise over run, and we can see on the char that every time the x-value increases by 1, the y-value increases by 9, so the slope is 9/1, or 9.

Answer: Spain

After Rome, St.Paul wanted to go to Spain.

Step-by-step explanation:

Paul planned to visit Macedonia

After 15 minutes the pan will have a temperature of 36°F

Newton's Law of Cooling, if a body with temperature T₁ is placed in surroundings with temperature To, different from that of T₁, the body will either cool or warm to temperature T(t) after t minutes, where T(t) = T₀ + (T₁-T₀)e^(kt)

Given: T₁ = 120°F,  T₀ = 0°F. After 5 minutes, T(t) = 80°F

T(t) = T₀ + (T₁-T₀)e^(kt)

80 = 0 + (120-0)e^(5k)

80 = 120e^5k

e^5k = 80/120

e^5k = 2/3

5k = ln(2/3)

k = ln(2/3) / 5

k = -0.0811

The temperature of the pan after 15 minutes will be:

T(t) = T₀ + (T₁-T₀)e^(kt)

T(15) = 0 + (120-0)e^(-0.0811×15)

T(15) = 120e^(-0.0811×15)

T(15) = 36°F

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Answer:

1 or 3

Step-by-step explanation:

Step-by-step explanation:

i think its no, but im not sure.

Total 9 rows will have exactly 42 projects.

The Fundamental mathematical operation are Addition,Subtraction

Multiplication and Division.

Given,

The total number projects in the science fair is 405.

The  coordinator displays the projects in rows of 42.

To know the exact number of rows having 42 projects

we will divide total project by 42 i.e; 405/42.

The quotient will be the number of row exactly having 42 projects

and the last row will contain less than 42 projects which is remainder.

i.e;  Dividing 405 by  42

    quotient will be 9.

      remainder will be 27.

So,Total 9 rows will have exactly 42 projects.

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Answer: -1/2

Step-by-step explanation: To solve this problem, we can use the properties of logarithms to isolate the variable x on one side of the equation. The properties of logarithms tell us that the logarithm of a product is the sum of the logarithms of the factors, and that the logarithm of a power is the exponent times the logarithm of the base.

If log₂(4x + 6) = 4, we can rewrite the left side of the equation as follows: log₂(4x + 6) = log₂(2^4 * (2x + 3))

Then, using the property of logarithms that the logarithm of a product is the sum of the logarithms of the factors, we can simplify the equation as follows: log₂(4x + 6) = 4 + log₂(2x + 3)

Now, we can use the property of logarithms that the logarithm of a power is the exponent times the logarithm of the base to simplify the equation even further: log₂(4x + 6) = 4 + 1 * log₂(2x + 3)

Since the logarithm of a power is the exponent times the logarithm of the base, this means that the logarithm of a number is the logarithm of that number divided by the logarithm of the base. Therefore, we can divide both sides of the equation by log₂ to isolate the variable x on one side of the equation:

log₂(4x + 6) / log₂ = 4 + 1 * log₂(2x + 3) / log₂

(4x + 6) / 1 = 4 + (2x + 3) / 1

4x + 6 = 4 + 2x + 3

4x + 6 = 2x + 7

2x = -1

x = -1/2

Therefore, if log₂(4x + 6) = 4, then x = -1/2.

Answer:

x° ≈ 25.5°

Step-by-step explanation:

The relationship between the two given sides and angle x are Opposite and Adjacent. So we'll use tan(x) = 10/21 to start.

Take the Inverse tan (tan⁻¹) to find x:  x = tan⁻¹(10/21) ==> calculator

Answer:

x = 25.5°

Step-by-step explanation:

First find the hypotenuse of the right triangle given by the formula

[tex]c = \sqrt{a^{2} + b^{2}}[/tex]

where c is the hypotenuse and a, b the two sides

Let's call the vertical leg as a and the horizontal leg as b

Then we have a = 10, b = 21

So

[tex]c = \sqrt{10^{2} + 21^{2}}\\\\c = \sqrt{100 + 441}\\\\c = \sqrt{541}\\\\c = 23.2594\\\\\\[/tex]

By the law of sines, the ratios of the sides of a triangle to the sine of the angles opposite must be the same. The hypotenuse is opposite the 90° angle. and the side of length 10 is opposite angle x

So
[tex]\dfrac{23.2594}{\sin 90} = \dfrac{10}{\sin x}[/tex]

But  sin 90 = 1. So the above equation reduces to

[tex]2.2594 = \dfrac{10}{\sin x}\\\\\\\implies \sin x = \dfrac{10}{23.2594}\\\\\implies \sin x = 0.43\\\\\\\\x = sin ^{-1}(0.43) = 25.4675\\\\[/tex]

Rounded to 1 decimal place
x = 25.5°

Answer:

50 inches, or 4 1/6 feet

Step-by-step explanation:

If one inch is equal to 6 1/4 feet, we can translate this number from feet to inches.

4 1/6 feet = 75 inches.

Now we can take 75 and find out 2/3 of it.

2/3 of 75 is 50.

The answer is 50 inches.

If you want to convert the answer from feet to inches, its simple.

12 × 4 = 48

50 - 48 = 2

2 inches is equal to 1/6 of a foot.

The answer in feet, is 4 1/6 foot.

Answer: x = 59

Step-by-step explanation:

i dont know what you are trying to figure out but x = 59 im guessing u need

Answer:

Step-by-step explanation:

First, add

90

and subtract

2

x

from each side of the equation to isolate the

x

term while keeping the equation balanced:

8

x

−

90

+

90

−

2

x

=

2

x

−

36

+

90

−

2

x

8

x

−

2

x

−

90

+

90

=

2

x

−

2

x

−

36

+

90

(

8

−

2

)

x

−

0

=

0

+

54

6

x

=

54

Now, divide each side of the equation by

6

to solve for

x

while keeping the equation balanced:

6

x

6

=

54

6

6

x

6

=

9

x

=

9

Answer:

Step-by-step explanation:

1.5/0.15=10

1.5 is 10 times greater than 0.15

The solution is 10

The number of times the number 1.5 is greater than the number 0.15 is 10

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 ,

Let the equation be represented A

Now , the value of A is

Let the first number be P = 1.5

Let the second number be Q = 0.15

Now , the number of times the number P is greater than Q is given by the equation

A = P / Q

Substituting the values in the equation , we get

A = 1.5 / 0.15

On simplifying the equation , we get

A = 10

Therefore , the value of A is 10

Hence , the number of times 1.5 is greater than 0.15 is 10 times

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Hope this answer helps you

There will be 0.48 grams will be left in the sample after 59 years.

Function is a type of relation, or rule, that maps one input to specific single output.

Since we have given that initial sample of 171 g of a radioactive substance decays according to the function

[tex]A(t) = 171e ^ {- 0.04(t) }[/tex]where t is given in years

Here, Initial amount of radioactive substance = 171 grams

We need to find the amount of substance that will be left in the sample after 59 years.

So, t = 59 years

So, it becomes,

[tex]A(t) = 171e ^ {- 0.04(59) }\\\\A(t) = 0.48[/tex]

Hence, there will be 0.48 grams will be left in the sample after 59 years.

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Answer: X= 3.3                    or                          x= 33/10

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

Answer:

Step-by-step explanation:

Answer:  "450" - "0.3" x

Step-by-step explanation: the quantity of 3 tenths is 3/10, or in other words, 0.3 because 3 divided by 10 is 0.3

Furthermore, "times a number x" just means " [tex]\frac{3}{10}x[/tex]

Answer:

116.64

Step-by-step explanatio hope this helps

Answer:

Both answers C & E are correct

Step-by-step explanation:

[tex]\sf\frac{7}{10}-\frac{4}{40}[/tex]

First, make the denominator the same to solve the fraction.

For that, multiply both the numerator and denominator by 4 in the fraction 7/10.

[tex]\sf\frac{7*4}{10*4}-\frac{4}{40}\\\\\sf\frac{28}{40}-\frac{4}{40}\\\\\sf\frac{28-4}{40}\\\\\sf\frac{24}{40}[/tex]

To write the answer in its simplest form divide both the numerator and denominator by 8.

[tex]\sf\frac{3}{5}[/tex]

Therefore, the answer is [tex]\sf\frac{24}{40}[/tex] = [tex]\sf\frac{3}{5}[/tex]

Answer:

1/2, 1, 0, 1/2

Step-by-step explanation:

We can solve this by rounding each fraction to either 0, 1/2, or 1.

The first fraction, 7/12, is pretty close to 6/12, which is 1/2 of 12.

So we can round this to 1/2.

The second fraction, 5/6, is closer to 6/6 (1) than 3/6 (1/2).

So we can round this to 1.

The third fraction, 2/11 is closer to 0 than 5.5/11 (1/2).

We can round this to 0.

4/9 is closer to 4.5/9 (1/2) than 0.

We can round this to 1/2.

Therefore, when we round all of these fractions, we are left with 1/2, 1, 0, 1/2.