Write the slope-intercept form of the equation of each line given the slope and y-intercept.
Slope = -10, y-intercept = -5
Ready?

The expressions that are equivalent to 9x^4 - 4x² are:

A. x²(9x² - 4)

C. (3x² - 2x)(3x² + 2x)

A given expression can be written in another way and still have the same value as its original expression. For example, given the expression, 9x^4 - 4x², we can rewritten by finding a common factor of 9x^4 and 4x².

A common factor of 9x^4 and 4x² is x².

x² into 9x^4 will give you: 9x²

x² into 4x² will give you: 4

Thus, we will have:

9x^4 - 4x² = x²(9x² - 4)

Also, we can factorize 9x^4 - 4x² to given us:

(3x² - 2x)(3x² + 2x)

Therefore, the expressions that are equivalent to 9x^4 - 4x² are:

A. x²(9x² - 4)

C. (3x² - 2x)(3x² + 2x)

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Answer:

I believe the answer is x-intercept

Step-by-step explanation:

To write the given differential equation in terms of only y and v, we will substitute x=vy into the equation ydx=2(x+y)dy.

Substituting x=vy, we get:
y(dy/dv)v = 2(vy+y)dy

Simplifying, we have:
yv(dy/dv) = 2y(v+1)dy

Dividing both sides by y and (v+1), we obtain:
v(dy/dv)/y = 2dy

Now, let's solve the differential equation by making another substitution. Let u = ln|y|. Then, dy = e^u du and dy/dv = dy/du * du/dv = e^u * du/dv.

Substituting these values into the equation, we have:
ve^u * du/dv = 2e^u du

Dividing both sides by e^u and rearranging, we get:
ve^u du = 2du/dv

Separating the variables, we have:
ve^u du = 2dv

Integrating both sides, we get:
∫ve^u du = ∫2dv

Integrating, we have:
(v/2)e^u = 2v + C

Rearranging, we get:
ve^u = 4v + 2C

Finally, substitute u = ln|y| back into the equation to get the solution in terms of y:
vy = 4v + 2C

Therefore, the solution to the given differential equation is vy - 4v = 2C, where C is the constant of integration.



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Answer:

image not clear.

so I can't answer it .

Answer:

Step-by-step explanation:

10v - 6 = 24

10v = 24 + 6

10v = 30

v = 30/10 = 3

7 = 6r - 17

7 + 17 = 6r

24 = 6r

24/6 = r

4 = r

Answer:

Step-by-step explanation:

Sorry did you already finish?

1. B. 2/3 = 8/12 b/c 2x4 = 8 and 3x4 = 12

2. D. 5/6 = 10/12 b/c 5x2 = 10 and 6x2 = 12

3. 2

4. A. simplified is 2/3 C. self-explanatory D. simplified is 3/4

Answer:

7\(\sqrt{5}\)

Step-by-step explanation:

the legs of a 45°- 45°- 90° triangle are congruent , then

one leg = 7\(\sqrt{5}\)

the other leg = 7\(\sqrt{5}\)

Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

Answer:

3

Step-by-step explanation:

4 x 3 = 12

4 ÷ 12 = 3

its like multiplication just changing the way you solve it

Answer:

.33

Step-by-step explanation:

Mr. Titus travels a total of 7476 miles annually between Charlotte, North Carolina, and New York City.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that twelve times a year, Mr. Titus makes the trip from Charlotte to New York City and back. Each round trip covers a total distance of 623 miles.

The total distance will be calculated as:-

Distance = 12 x 623

Distance = 7476 miles

Therefore, Mr. Titus' annual mileage between Charlotte, North Carolina, and New York City is 7476 miles.

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Ok, so

If the scale from the real Eiffel Tower to the scale model is 15 ft to 3 in, the unit rate will be:

This means that, in the scale:

5 ft = 1 in.

Then, the unit rate is 5.

Answer:

88 hrs

Step-by-step explanation:

1/3/4 = 7/4hr ; 7/4 = 1.75hr (the number of hours used to travel for 154km)

154/1.75 = 88 (the number of km van travels per hour)

Answer:

Quarters = 20

Dimes = 14

Step-by-step explanation:

Dime = x = 10 cent = $0.1

Quarter = y = 25 cent = $0.25

x + y = 34 - - - (1)

0.1x + 0.25y = 6.40 - - - - (2)

From (1)

x = 34 - y

0.1(34 - y) + 0.25y = 6.40

3.4 - 0.1y + 0.25y = 6.40

3.4 + 0.15y = 6.40

0.15y = 6.40 - 3.40

0.15y = 3

y = 3 / 0.15

y = 20

x = 34 - y

x = 34 - 20

x = 14

Quarters = 20

Dimes = 14

The running back gained a total of 80.3 yards during the game.

In the first half of the game, the running back gained 12.1 yards per carry on a total of 8 runs. So the total yards gained in the first half is:

12.1 yards/carry x 8 carries = 96.8 yards

In the second half of the game, the running back had a net loss of 16.5 yards. This means that the running back lost 16.5 yards during the second half.

To find the total yards gained during the game, we can add the yards gained in the first half to the yards gained/lost in the second half:

Total yards gained = Yards gained in the first half + Yards gained/lost in the second half

Total yards gained = 96.8 yards - 16.5 yards

Total yards gained = 80.3 yards

Therefore, the running back gained a total of 80.3 yards during the game.

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If Samantha works in a department store selling clothing and she makes a guaranteed salary of $500 per week but is paid a commission on top of her base salary equal to 25% of her total sales for the week, then Samantha would make $662.5 in a week in which she made $650 in sales and she would make 500 + 0.25 xx in a week in which she made xx dollars in sales.

The amount of money Samantha makes in a week can be given by an algebraic expression.

Amount of money Samantha makes in a week = Salary per week + 25% of her total sale

Amount of money Samantha makes in a week = 500 + 0.25 x

Here x is the sales Samantha made in a week

If she made $650 in sales in a week :

Amount of money Samantha makes in a week = 500 + 0.25(650)

Amount of money Samantha makes in a week = 500 + 162.5

Amount of money Samantha makes in a week = $662.5

If she made xx dollars in sales in a week :

Amount of money Samantha makes in a week = 500 + 0.25 x

Amount of money Samantha makes in a week = 500 + 0.25 xx

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Answer:

Step-by-step explanation:

H(x) is not equal to K(x) and functions H and K are not equal.

Functions H and K are defined from R to R by the formulas:For all x ∈ R, H (x) = (x –2)2 and K (x) = (x – 1)(x – 3) + 1.

Explain.Solution:For all x ∈ R,H (x) = (x –2)2......(1)and K (x) = (x – 1)(x – 3) + 1......(2)To check whether H = K, we will have to verify whether H(x) = K(x) for all x ∈ R.Therefore, we will equate equations (1) and (2) as:H(x) = K(x)(x –2)2 = (x – 1)(x – 3) + 1x2 – 4x + 4 = x2 – 4x + 4 – 3x + 1x2 – 4x + 4 = x2 – 3x + 5x = –1If we analyze the equation x = –1, we can conclude that it is not a member of R (the domain of the functions).Thus, there is no such x ∈ R that satisfies H(x) = K(x).

Therefore, we can say that H(x) is not equal to K(x) and functions H and K are not equal.

A function is a correspondence between two sets that assigns to each element of one set (the domain) exactly one element of the other set (the range).Functions are widely used in mathematics because they allow us to model real-life situations. The input value of a function is called the independent variable, and the output value is called the dependent variable.

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Answer:

600ft^2

Step-by-step explanation:

Step One: There are two identical faces of each, which means we can multiply each face times two to make it faster. The first face will be 2(4*12)=96. I muliplied by two, because, once again, there are two faces of each.

Step Two: The next is 2(18*12)=432 and lastly, 2(4*18)= 72

Step Three: We just have to add it all up: 72+96+432= 600ft^2

The provided integral may be expressed as follows using the following statement as a guide: 128/3 - 31 \(\sqrt{17}\) /3

An integral in mathematics is either a number that depicts the area underneath the graph of a function over a specific period of time or a about before, the reversed of which includes the initial result (indefinite integral). To complete the whole, an essential component is required. The term crucial is a close synonym in this context. Integrals of functional and equations are a concept in mathematics. The word "aal" is derived from Middle English, which is derived from Latin Word integralis "thinking up unity," from Latin "with, entire."

To find \($\int_0^1 \frac{r^3}{\sqrt{16+r^2}} d r$\)

Put \($16+r^2=t^2$\)

\($2 r d r=2 t d t$\)

\($r d r=d t$\)

\($r=0 \Rightarrow t=4$\)

\($r=1 \Rightarrow t=\sqrt{17}$\)

\($\int_0^1 \frac{r^3}{\sqrt{16+r^2}} d r=\int_4^{\sqrt{17}} \frac{t^2-16}{t} t d t$\)

\($=\left[\frac{t^3}{3}-16 t\right]_4^{\sqrt{7}}$\)

\($=\frac{(\sqrt{17})^3}{3}-16(\sqrt{17})-\frac{(4)^3}{3}+64$\)

\($=\frac{128}{3}-\frac{31 \sqrt{17}}{3}$\)

\($\int_0^1 \frac{r^3}{\sqrt{16+r^2}} d r=\frac{128}{3}-\frac{31 \sqrt{17}}{3}$\)

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Answer:

x=50°

Step-by-step explanation:

corresponding angles are equal

The correct answer is (D) The full length to which it can be extended.

The size classification of an extension ladder indicates the full length to which it can be extended.
An extension ladder's size classification indicates the total length the ladder can reach when its fly section is fully extended.

This helps users determine if the ladder will be long enough for their specific needs when working at height.

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Answer:

1750 people

Step-by-step explanation:

4%*25=100%

100%= is the whole

so it would be 70x25=1750

The expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) \(\times\) 100.

To find the percent of change between the gym's membership in 2012 and the current membership, we can use the following expression:

Percent of change = ((Current Value - Initial Value) / Initial Value) \(\times\) 100

In this case, the initial value is 9,300 (membership in 2012), and the current value is 2,800 (current membership).

Substituting these values into the expression, we get:

Percent of change = ((2,800 - 9,300) / 9,300) \(\times\)100

Simplifying the expression further, we have:

Percent of change = (-6,500 / 9,300) \(\times\) 100

Therefore, the expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) \(\times\)100. This formula calculates the relative difference between the initial and current values and expresses it as a percentage.

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Answer:

17i in

Step-by-step explanation:

a² + b² = c²

8² + 15² = c²

64 + 225 = 289

c² = 289

c = \(\sqrt{289} \\\)

c = 17

In triangle LMN,  given that m∠L = (4c 47)° and the exterior angle to ∠L measures 69°, the value of c is 5.

The exterior angle to ∠L is equal to the sum of the two remote interior angles of the triangle. Therefore, we can write the equation:

m∠L + m∠N = 69°

Substituting the given value for m∠L, we have:

(4c 47)° + m∠N = 69°

To isolate c, we need to solve for m∠N. By subtracting (4c 47)° from both sides of the equation, we get:

m∠N = 69° - (4c 47)°

Now, we know that the sum of the angles in a triangle is 180°. Therefore, we can write another equation:

m∠L + m∠N + m∠M = 180°

Substituting the given value for m∠L and m∠N, we have:

(4c 47)° + (69° - (4c 47)°) + m∠M = 180°

Simplifying the equation, we get:

69° + m∠M = 180°

Subtracting 69° from both sides, we have:

m∠M = 180° - 69°

m∠M = 111°

Now, since the sum of the angles in a triangle is 180°, we can write:

m∠L + m∠N + m∠M = 180°

Substituting the values we found for m∠L, m∠N, and m∠M, we get:

(4c 47)° + (69° - (4c 47)°) + 111° = 180°

Simplifying the equation, we have:

4c 47 + 69 - 4c 47 + 111 = 180

Combining like terms, we get:

180 = 180

This equation holds true for any value of c. Therefore, there is no specific value of c that satisfies the given conditions.

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If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.

We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

From the given information, we have:

cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)

tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5

Now, we can use the definitions of sine and cosine to find tan A:

tan A = sin A / cos A = (7/25)/(24/25) = 7/24

Substituting the values we have found into the formula for tan(A - B), we get:

tan(A - B) = (tan A - tan B)/(1 + tan A tan B)

= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]

= (-13/72)/(25/72)

= -13/25

Therefore, tan(A - B) = -13/25.

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Answer:

Grocery mart=1.495 per pound

baldwin hills=1.33 per pound

Answer:Grocery mart=1.495 per pound

baldwin hills=1.33 per pound

Step-by-step explanation:

Answer and Step-by-step explanation:

2(5x - 5) = 6x + 50

Distribute the 2 to the 5x and -5.

10x - 10 = 6x + 50

Add 10 to both sides, and subtract 6x from both sides.

4x = 60

Divide both sides by 4.

x = 15

5y + 5 = 7y - 9

Subtract 5 from both sides, and 7y from both sides.

-2y = -14

Divide both sides by -2.

y = 7

#teamtrees #PAW (Plant And Water)

Answer:

m<1=120

Step-by-step explanation:

A linear pair adds up to 180 degrees.

So <1+<2=180

Let <2=X, that would make <1=2X because <1 is 2 times more.

So substitute that into the equation.

2x+x=180.

Combine like terms and get 3x=180

Divide both sides by 3 and get x=60.

Substitute that into <1 and get <1=120

Answer:

B

Step-by-step explanation:

We can use the following co-function identity:

\(\sin(x)=\cos(90-x)\)

Substuting 35 for x yields:

\(\sin(35)=\cos(90-35)\)

Subtract:

\(\sin(35)=\cos(55)\)

Hence, our answer is B.