Solve 1= X^2+3x-16/X^2-6x+8
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Answer to part A:  11w^2+7z^2

Answer to part B:  14w^2+9w

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Explanation:

For part A, the expression 4w^2+7w^2+7z^2 has one pair of like terms. That pair is 4w^2 and 7w^2 which combine to 11w^2. You add the coefficients to get 4+7 = 11, then tack w^2 onto everything to say 4w^2+7w^2 = 11w^2

We cannot combine 11w^2 and 7z^2 as they aren't like terms. So we leave it as 11w^2+7z^2

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In part B, the like terms are 15w and -9w. They combine to 15w-9w = 6w. You can think of it like 15-9 = 6 then stick a 'w' to each term. We cannot combine the w^2 term with the w terms.

Hey!

For any graphing calculator problems I would recommend using desmos if your teacher allows it or getting a graphing calculator such as a ti-nspire :)

This way, it will be able to graph and get the answers quicker!

The answers to this question is (37.5,15) and (0,60). To find your answers when you graph always look for where the lines intersect. If the lines do not intersect then it is not one of your answer choices. (examples are below).

Answer:

We cannot exactly see to well, I recommend you do windows key + shift + x or something similar in order to take a built in screenshot.

IF THE INEQUALITY SIGN ON THE POINT (7,0) IS SOMETHING LIKE "O" THEN THE RANGE IS Y<0

So the range is everything below 0.

IF THE INEQUALITY SIGN IS A DOT INSTEAD OF AN O, THEN IT IS

Y≤0

The domain should be 7, because it never strays off of the x-value of 7.

Step-by-step explanation:

Answer:

Slope is 8 here

Y= mx +c

And c= 8

Y = - 2x + 8

Answer:

84mm

Step-by-step explanation:

Formula of a triangle:

A =bh/2

A=14(12)/2

A=168/2

A=84mm

Answer:

154 legs

Step-by-step explanation:

40-3=37

37 times 4 = 148

3 times 2 ° 6

148+6= 154

Answer: 154 legs

Step-by-step explanation: First, multiply 37×4 because there are 37 cows with 4 legs, which gets you 148. Since there are 3 cows with only 2 legs, do 3×2=6. Finally, add 148 and 6 to get 154 legs.

please give brainliest!

Answer:

The answer would be Y=3X+3 .

Hope it was helpful .

The equation of the line shown in the graph is y = 3x + 3.

The equation of the line shown in the graph is determined by calculating the slope and y - intercept of the line as shown below.

The slope of the line is calculated as follows;

m = Δy / Δx

where;

m = ( 9 - 3 ) / (2 - 0 )

m = 6 / 2

m = 3

The  y - intercept of the line is the point where the line intersects y-axis.

c = 3

The general equation of a line is given as;

y = mx + c

So our equation of the line becomes;

y = 3x + 3

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Answer:

c

step-by-step explanation:

ok the slope of the line is 2

and so by using the formula y1+y2/x1+x2 we can get the ration of each table

the first table is  -9+-7/-25+-21

this can be simplified to  -16/-46 which is about  0.347

using this formula for each table you can find the answer .

im

too lazy to do the rest

Answer:

It's C

Step-by-step explanation:

I did the quiz, see Arjinoodles for a detailed explanation.

Answer:

Step-by-step explanation:

Hello!

Given the variables

Y: Cost of a previously owned Camry.

X: Mileage of a previously owned Camry.

Scatter plot in attachment.

As you can see in the scatter plot, the price of the previously owned Camry decreases as their mileage increases this suggest that there is a negative linear regression between these two variables.

Hypothesis test for the y-intercept

H₀: β₀ = 0

H₁: β₀ ≠ 0

Level of significance α: 0.01

p-value < 0.0001

The decision is to reject the null hypothesis. You can conclude that the population mean of the cost of a previously owned Camry, when the mileage is zero, is different from zero.

H₀: β = 0

H₁: β ≠ 0

Level of significance α: 0.01

p-value: 0.0003

The decision is to reject the null hypothesis. You can conclude that the population mean of the cost of a previously owned Camry is modified when the mileage increases in one unit.

Answer:

KL = 7, so B is the correct answer.

Answer:

(opt.d) Is the set of dates with a range of 11.

Step-by-step explanation:

Range = Highest - Lowest = 11

a) 18 - 3 = 15

b) 21 - 7 = 14

c) 15 - 2 = 13

d) 14 - 3 = 11 (✔)

(opt.d) Is the set of dates with a range of 11. The answer is D. Let me know if I'm correct.

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:

Answers following the rounding instructions:  see below for details

BC = 5.1

m∠B = 23°

m∠V = 116°

Step-by-step explanation:

Givens:

AC = 3

AB = 7

m∠A = 41°

Unknowns:

BC = ?

m∠B = ?

m∠C = ?

Find side BC using the law of cosines:  c² = a² + b² - 2ab cos(C)

a² = 3² + 7² - 2(3)(7)(cos41)

a = √9 + 49 - 42(cos41)

a = 5.128 ≈ 5.13

side BC = 5.13

Use the law of sines to find m∠B:  sin(A) / a = sin(B) / b = sin(C) / c

m∠B = sin⁻¹[sin41/5.13 x 3] = sin⁻¹(0.3837) = 22.56 ≈ 22.6°

Sum of interior angles of a triangle is 180, so now you can find m∠C:

m∠C = 180 - 22.6 - 41 = 116.44 ≈ 116.4°

Rounding side BC to nearest tenth: BC = 5.1

Rounding angles to nearest whole degree:

m∠B = 23°

m∠V = 116°

Answer:

Shelia is

Step-by-step explanation:

hope this helps plz mark brainlessly

Answer:

he needs $279

Step-by-step explanation:

715-436= 279

The 5th term of the arithmetic series is  1179/ 19.

The 10th term of the arithmetic series , S is 66.

Using arithmetic formula,

aₙ = a + (n - 1)d

where

Therefore,

66 = a + 9d

The sum of the first 20 terms of S is 1290.

Therefore,

Sₙ = n / 2 (2a + (n - 1)d)

1290 = 10(2a + 19d)

1290 = 20a + 190d

combine the equation

66 = a + 9d

1290 = 20a + 190d

Hence,

a = 66 - 9d

1290 = 20(66 - 9d) + 190d

1290 = 1320 - 180 + 190d

1290 - 1320 + 180 = 190d

190d = 150

d = 150 / 190

d = 15 / 19

Hence,

a = 66 - 9(15  /19)

a = 66 - 135 / 19

a = 1254 - 135/ 19

a = 1119 / 19

Hence, let's find the fifth term.

a₅ = a + 4d

a₅ = 1119 / 19 + 4(15 / 19)

a₅ = 1119 / 19 + 60 / 19

Therefore,

a₅ =  1179/ 19

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Answer:

D (3,7)

Step-by-step explanation:

Answer:

D (3, 7)

Step-by-step explanation:

Use linear equation formula in point-slope form:  \(y-y_1=m(x-x_1)\)

where \((x_1,y_1)\) is a point on the line and \(m\) is the slope

\(\implies y-3=2(x-1)\)

\(\implies y=2x+1\)

Inputting the values of the point options in the above equation for the line implies that D is the answer since:

when x = 3:  \(y=2(3)+1=7\)

Lavage Rapide's total cost per car washed is $19.05.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

Fixed costs are expenses that do not change based on the number of units produced or sold. Variable costs, on the other hand, change with the level of production or sales. Here, the fixed costs are cleaning supplies, electricity, maintenance, wages and salaries, depreciation, rent, and administrative expenses.

The variable cost is the cost per car washed, which includes wages and salaries and administrative expenses.

To calculate the total cost per car washed, we need to add fixed costs to the variable cost per car. So, the total cost per car washed for Lavage Rapide would be:

Total Cost per Car Washed = Fixed Costs + Variable Cost per Car Washed

Total Cost per Car Washed =\(($0.80 + $1,400 + $0.20 + $4,700 + $8,000 + $2,100 + $1,400) + ($0.40 + $0.05)\)

Total Cost per Car Washed = $18,620 + $0.45

Total Cost per Car Washed = $19.05

Therefore, Lavage Rapide's total cost per car washed is $19.05.

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complete question:

Fixed Cost per Month Cost per Car Washed

Cleaning supplies $ 0.80

Electricity $ 1,400 $ 0.08

Maintenance $ 0.20

Wages and salaries $ 4,700 $ 0.40

Depreciation $ 8,000

Rent $ 2,100

Administrative expenses $ 1,400 $ 0.05

Answer:

-9x + 13

Step-by-step explanation:

9 -3x +(-6x) +4

you will add -3x+(-6x), then add 9+4

-3x+(-6x) = -9x   (a negative pus and negative = a negative

9 +4 = 13

-9x + 13

Answer:

(C) 12

Step-by-step explanation:

To solve this problem, we can use the following steps:

Find half of 80: 80/2 = 40

Add 20 to half of 80: 40 + 20 = 60

Find one fifth of the result: 60/5 = 12

Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.

Answer:

(C) 12

Step-by-step explanation:

What is one fifth of twenty more than half of 80

0.5 × 80 = 40

What is one fifth of twenty more than half of 80

40 + 20 = 60

What is one fifth of twenty more than half of 80

1/5 × 60 = 60/5 = 12

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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Step-by-step explanation:

hope it helps.

To find the missing leg, we use Pythagorean's Theorem

Where c = 6 and a = 3. Let's use these values to find b-

Answer:

28.77

Step-by-step explanation:

61/212 *100

= 6100/212

= 28.773   which is 27.33 rounded to the nearest hundredth

Answer:

0.29

Step-by-step explanation:

61/212 = 0.2877358490566038

The hundredth place is where the "8" is at after the decimal ( the one that is in bold)

4 or less, let it rest, 5 or more, let it sore

The number after the "8", is "7", since "7" is greater than 4 "5 or more let is sore", we can convert the "8" into a "9" which means that the numbers after the hundredths place wont exist no more....

0.29 will be your answer

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

42.55

Step-by-step explanation:

To calculate the total cost including the shipping and handling charge, we need to add 15% of the order total to the original amount.

The order total is $37.00.

let's calculate the shipping and handling charge:

= 15% of $37.00

= (15/100) * $37.00

= $5.55

Now, we can calculate the total cost including the shipping and handling charge:

Total Cost = Order Total + Shipping and Handling Charge

Total Cost = $37.00 + $5.55

Total Cost = $42.55

The total cost for the customer's order, including the 15% shipping and handling charge, is $42.55.

Answer:

2A) The centre is (-3,2) and the radius is 5.

Step-by-step explanation:

2A)

Okay so if you have the equation of a circle in standard from (ie it looks something like this:  (x-h)² + (y-k)² = r² ), it's pretty easy to find the centre and radius because in this form, r is the radius and (h,k) is the centre of the circle.

Note that (x-h)² + (y-k)² = x²+(-2h)x+h² + y²+(-2k)y+k²

In our case [x²+y²+6x-4y-12=0], we can see that -2h=6 (because 6 is the coefficient of x) and -2k=-4 (because -4 is the coefficient of y).

-2h=6, h=-3

-2k=-4, k=2

Let's sub these in:

x²+(-2h)x+h² + y²+(-2k)y+k² = r²

x²+6x+(-3)² + y²-4y+(2)² = r²

x²+6x+9 + y²-4y+4 = r²

x²+y²+6x-4y+(13-r²)=0

x²+y²+6x-4y+(13-r²)=x²+y²+6x-4y-12=0

13-r²=-12

r²=25

r=5

So our equation in standard form is (x+3)²+(y-2)²=25, which means the centre is (-3,2) and the radius is 5.

9514 1404 393

Answer:

  (d) ±√15/4

Step-by-step explanation:

Useful trig identities are ...

  cos(x) = 1/sec(x)

  sin(x) = ±√(1 -cos²(x))

__

Using these, we see that ...

  sin(θ) = ±√(1 -(1/sec²(θ))) = ±√(sec²(θ) -1)/sec(θ)

  sin(θ) = ±√(4² -1)/4 = ±√15/4

If the radius is 3 cm, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm. The correct option is B.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

We are given that the volume of the cylinder is 637 cm³ and the radius is 3 cm. Substituting these values into the formula, we get:

637 = π(3²)h

Simplifying:

637 = 9πh

h = 637 / (9π)

h ≈ 7.06

Thus, the height of the cylinder is approximately 7.06 cm, which is closest to option B, 7 cm.

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n(A)= 18 this item corrsponds to the number of observations inside A

n(B)= 11 this item corresponds to the number of observations inside B

n(A∪B)= 23 this item shows you the number of observations that are shared by A and B

n(A')=8 assuming A' is the complementary event of A, it indicates all observations inside the sample space that are outside A.

Total observations included in A are:

A= n(A) + n(A∪B)= 18 + 23= 41

Total of observations in B are:

B= n(B) + n(A∪B)= 11 + 23= 34

Total of observations in U

U= A + B + n(A') - n(A∪B)= 41 + 34 + 8 -23= 60

Note that I subtracted n(A∪B) one time, because is included in both A and B, i.e. is counted two times and could lead to a wrong answer.