Expand and simplify (2x - 3)(3x + 4)

Step-by-step explanation:

1. First calculate for the gradient m

2. Calculate for the constant C by using any point (0,3) or (3,9)

3. Lastly, put the values found in the equation y = mx + c

1. m = Y2-Y1/X2-X1

=9-3/3-0=2

2. input one point together with m into the equation y=mx+c

3=2(0)+C

C=3

3. Therefore equation of linear relationship is

y = 2x + 3

Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

Solution:

Let the number of miles for which both the companies will charge the same price = [tex]x[/tex] miles

Charges for one mile by Prestige car rentals = $0.07

Charges for [tex]x[/tex] miles by Prestige car rentals = $0.07[tex]x[/tex]

Total charges by Prestige Car rentals = $47 + $0.07[tex]x[/tex]

Charges for one mile by Gateway Auto = $0.12

Charges for [tex]x[/tex] miles by Gateway Auto = $0.12[tex]x[/tex]

Total charges by Gateway Auto = $35 + $0.12[tex]x[/tex]

As per question statement, the charges are same:

[tex]\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}[/tex]

Answer:

A.

Step-by-step explanation:

1. Write down the coordinates of the two points on the line.

(-4,-3) (-1,2)

2. Use the slope formula to find the slope.

Slope formula: y2-y1/x2-x1

2--3/-1--4

Slope: 5/3

Answer:

to find the total number of miles traveled, you have to add the total distance from point L to point M together. 929+ 595 = 1,524 total miles traveled

to find the average miles per hour, you divide the total miles traveled, by the amount of time it took. 1,524 / 3 = 508 miles per hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

LV to Colorado Springs = 595 miles

Colorado Springs to Mil=  929 miles

Total distance =                1524  miles

Average Speed = 1524 miles / 3 hours

Average Speed =  508  miles / hour

Answer:163 bpm

Step-by-step explanation:

The running heart rate of a girl as per linear equation will be 178.7 bpm.

Linear equation is an equation where the highest power of a variable is 1.

As per given data,

The average walking heart rate of eight girls is = (66 + 72 + 74 + 78 + 80 + 84 + 86 + 88)/ 8 = 78.5 bpm.

The average running heart rate of eight girls is = (128 + 136 + 134 + 138 + 142 + 144 + 14 8 + 152)/8 = 1122/8 = 140.25 bpm.

Therefore, for walking heart rate of x, the running heart rate will be (140.25/78.5)x = 1.787x.

Hence, the linear equation between walking heart rate and running heart rate is y = 1.787x.

Now, for walking heart rate of 100 bpm of a girl, the running heart rate will be = 1.787 × 100 bpm = 1787.7 bpm.

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Answer:

1. x-6≤20

2. (2x-2)+3≥50

Answer:

The answer is 14 inches

Step-by-step explanation:

I am taking the assignment right now and edge and it told me the answer

Plz Mark as Best and say it helped u

Answer:

5.20 I think bababsbbsbabbabav

Answer:

1

Step-by-step explanation:

Using the rules of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

Given

[tex](\frac{1}{x^{(a-b)}) } ^{a+b}[/tex] × [tex](\frac{1}{x^{b+a}) } ^{b-a}[/tex]

= [tex]\frac{1}{x^{(a-b)(a+b)} }[/tex] × [tex]\frac{1}{x^{(b+a)(b-a)} }[/tex]

= [tex]\frac{1}{x^{(a^2-b^2)} }[/tex] × [tex]\frac{1}{x^{(b^2-a^2)} }[/tex]

= [tex]\frac{1}{x^{(a^2-b^2+b^2-a^2)} }[/tex]

= [tex]\frac{1}{x^{0} }[/tex]

= [tex]\frac{1}{1}[/tex]

= 1

well you already got an answer so can i have free 25

Answer:

What do you need help with

Step-by-step explanation:

I can do math and spanish

Answer:

Rectangle

Step-by-step explanation:

Because the floor is made of floor

Answer:

7/3

Step-by-step explanation:

You do rise over run up 7 over 3.

Answer:

C. 4/3

Step-by-step explanation:

The value of tan(2x) is -4/3

Let, 'm' be an angle then the double angle formula of tan is,

[tex]tan(2m)=\frac{2~tan(m)}{1-tan^{2}m }[/tex]

For given example,

We have cos(x) = 1/√5 and sin(x) > 0

We know, sin^2(x) + cos^(x) = 1

⇒ sin^2(x) = 1 - (1/√5)^2

⇒ sin^2(x) = 1 - (1/5)

⇒ sin^2(x) = 4/5

⇒ sin(x) = ± 2/√5

But sin(X) > 0

⇒ sin(x) = 2/√5

We know, for any angle Ф,

tan(Ф) = sin(Ф) / cos(Ф)

Hence, tan(x) = sin(x)/cos(x)

tan(x) = (2/√5) / (1/√5)

⇒ tan(x) = 2/1

⇒ tan(x) = 2

Now, using the double angle formula for tan,

[tex]\Rightarrow tan(2x)=\frac{2~tan(x)}{1-tan^{2}x }\\\\\Rightarrow tan(2x)=\frac{2\times 2}{1-(2)^{2}}\\\\ \Rightarrow tan(2x)=\frac{4}{1-4}\\\\ \Rightarrow \bold{tan(2x)=-\frac{4}{3}}[/tex]

Therefore, the value of tan(2x) is -4/3

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Plane:

           a flat surface that extends infinitely and has no depth, it has length and width

Perpendicular Lines:

           two lines that intersect at angles 90°

Parallel Lines:

           two lines that lie within the same plane and never intersect

Circle:

           a set of all points in a plane that are a given distance from a point

Angle:

           a figure consisting of two rays with a common endpoint

Answer:

The value of h is B 5 3/7 hours

Step-by-step explanation:

trust me !!

Answer:

7/8h + 1 1/4 =6 7/8h =4 3/4 h = 4 3/4 / 7/8 = 5 3/7 hours

Step-by-step explanation:

The value of h is B 5 3/7 hours

Answer:

7 1/2 dozen of cookies

Step-by-step explanation:

If for every 3 dozen cookies, a bakery uses 8 cups of butter then we can say;

3 dozens cookies = 8 cups of butter

x cups of cookies = 20 cups of butter

Cross multiply

8*x = 3 * 20

8x = 60

x = 60/8

x = 7 4/8

x = 7 1/2

Hence you will need 7 1/2 dozen of cookies

Answer:

x = 42.4 ft.

Step-by-step explanation:

[tex]sin\ 45=\frac{x}{60}\\\\x=60*sin45\\x=42.4\ ft[/tex]

Answer:

See below.

Step-by-step explanation:

A(3, 4)→ A′ (-4, -3)

B(3, 2)→ B′ (-2, -3)

C(−1, 2)→ C′ (-2, 1)

The coordinates of the vertices of the image of △ABC after a reflection in the line y=−x are A'(-4,-3), B'(-2,-3), and C'(-2,1) and this can be determined by using the rules of transformation.

Given :

The triangle ABC is reflected about the line (y = -x).

The following steps can be used in order to determine the coordinates of the vertices of the image of △ABC after a reflection in the line (y = −x):

Step 1 - Let the coordinate be (x,y) so after the reflection about (y = -x) the coordinate becomes (-y,-x).

Step 2 - The coordinate A(3,4) after the reflection about (y = -x) becomes A'(-4,-3).

Step 3 - The coordinate B(3,2) after the reflection about (y = -x) becomes B'(-2,-3).

Step 4 - The coordinate C(-1,2) after the reflection about (y = -x) becomes C'(-2,1).

For more information, refer to the link given below:

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Answer:

A

Step-by-step explanation:

Answer:

XZ ≈ 14.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle, that is

cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{12.6}{XZ}[/tex] ( multiply both sides by XZ )

XZ × cos29° = 12.6 ( divide both sides by cos29° )

XZ = [tex]\frac{12.6}{cos29}[/tex] ≈ 14.4 cm ( to 3 significant figures )

Answer:

[tex]6321 + 4.5\% = 6605.445[/tex]

Answer:

The three expressions that have the same value is A, C, and D

Answer:

C = 25 + 50h

Step-by-step explanation:

cost for zero hours is $25, so that is the y-intercept of the graph.

each hours adds a cost of $50, so that is the gradient of the graph. These two values give us our equation in slope-intercept form.

Answer:

x = 4

Step-by-step explanation:

Given

6x - 5y = 14 ← substitute y = 2 into the equation

6x - 5(2) = 14

6x - 10 = 14 ( add 10 to both sides )

6x = 24 ( divide both sides by 6 )

x = 4

Answer:

[tex]\huge\boxed{\sf x = 4}[/tex]

Step-by-step explanation:

[tex]\sf 6x-5y = 14\\\\Put \ y = 2\\\\6x - 5(2) = 14\\\\6x - 10 = 14\\\\ Adding \ 10 \ to \ both \ sides\\\\6x = 14+10\\\\6x = 24\\\\Dividing \ both \ sides \ by \ 6\\\\x = 24 / 6\\\\x = 4\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

sureeee what's uppp!!!:)

what do you need help with,

Answer:

25

Step-by-step explanation:

Answer:

Step-by-step explanation:

I just did this question and this was the answer that was right for me. Sorry that I saw this question late :(

Answer:

m = -2/1 or just m  = -2

Step-by-step explanation: