Graph the line with slope 2 passing through the point (-1, -3).

Answer:

y = 3x/2 + 24

Step-by-step explanation:

y = ax + b

⇒ 6 = -12a + b

9 = -10a + b

⇒ 2a = 3, a = 3/2

⇒ b = 24

⇒ y = 3x/2 + 24

Answer:

A because when you subtract x will be less than the unknown number

Answer:

the answer is 7

Step-by-step explanation:

12-5=7 and seven equals u

Answer:

7

Step-by-step explanation:

5 + u = 12

To make this equation simpler, why don't we isolate the variable u?

5 + u = 12

-5  -5

u = 12 - 5

u = 7

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Answer:

624 miles

Step-by-step explanation:

there are 12 months in a year.

meaning, 24 months in two years.

if she is able to walk 26 miles a month, for 24 months

(multiply 26x24)

she will walk 624 miles.

Answer: See the graph below.

Answer:

21

Step-by-step explanation:

5 = 2(x - 8) -x

5 = 2x - 16 -x

5 = x - 16

16 + 5 = x

21 = x

Answer:

= 2 1 /2

hope it helps you! :D

Answer:

all 5

Step-by-step explanation:

6a+3a+8b+a-5b = 10a+3b

3b+6a+3b+6a = 9b+6a

3b+9a+3b+9a = 6b+18a

3b+10a+3b+10a = 6b+20a

13b+9a = 13b+9a

Answer:

8.75

Step-by-step explanation:

In order to determine what is 25% of 35, simply multiply 35 by 0.25 (which is the decimal equivalent of 25%).

0.25 × 35 = 8.75.

Therefore, the 25% of 35 is 8.75.

Answer:

17y+28

Step-by-step explanation:

First, distribute the 4 to 3y+7. This would get you 12y+28. Then add the 5y to the 12y+28. This would bring you to your answer of 17y+28

Answer:

4(3y+7)+5y= 12y+28+5y=17y+28

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Answer:

The rate of change is -3. The y-intercept (0,1). The equation of this linear function is y = -3x + 1

EXPLANATION: It is (0,1) because 0 is the x-intercept and 1 is the y-intercept. (x,y)

The time taken to reach the goal of $3000 will be 36 months.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Lucas has $300 in his savings account and starts saving $75 per month. He wants to meet his savings goal of $3000.

The equation for the total cost will be formed as,

TC = 75m + 300

3000  = 75m + 300

3000 - 300 = 75m

2700 = 75m

m = 2700 / 75

m = 36 months

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Answer:

(-7,1) lies on the 2nd quadrant

(-7,-5) lies on the 3rd quadrant

Hope it helps:)

Answer:

x=1/8

Step-by-step explanation:

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Answer:

1/9 x 21/8 = 7/24

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I had this question before

Answer:

C. y= -3/2x - 4

Step-by-step explanation:

Option 2, y=-3/2x-4

Step-by-step explanation:

Solve with the point-slope formula: y-y1=m(x-x1). The line is perpendicular, meaning the slope of the new equation will be the oppposite reciprocal of the original slope.

First, we need to rewrite the original equation into standard form.

2x-3y=13

-3y=13-2x

y=-13/3+2/3x

From this, we can see that the slope here is 2/3. Since the line we're looking for is perpendicular, the opposite reciprocal of that slope is -3/2.

Now, we can plug in the coordinates we have into the formula (-6, 5), along with our slope (-3/2).

y-(5)=-3/2(x+6)

y-5=-3/2x-9

y=-3/2x-4

And to check, we can just plug the coordinates into our new equation:

Check:

(5)=-3/2(-6)-4

5=9-4

5=5

Answer:

12.5%

Step-by-step explanation:

5/40 = .125

.125×100 = 12.5%

The percentage is the indicating hundredth. The percentage of times the students marked will be 12.5%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

A student was marked tardy five different times in a 40-day period.

Percentage of 5 among 40 →

(5/40) x 100 = 12.5%

Hence "The percentage is the indicating hundredth. The percentage of times the students marked will be 12.5%".

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Answer:

D = 3.5t

Step-by-step explanation:

Distance = Speed · Time

Plug in the numbers and you get D = 3.5t

Hope this helps!

Answer:

A. is the right answer

Step-by-step explanation:

D is not right because it is not a perfect square. A is the only perfect square optional, which makes it rational. Hope this helps :)

Answer:

A and C are both solutions to the equation.

The inequality that show how  many of each bike model must be sold so the

company avoids losing money is 75x + 90y ≥ $1350

Let x represent the number of model A bikes produced and y represent the number of model B bikes produced.

Since A local bicycle shop makes $75 on each  Model A bike and $90 on each Model B bike, hence:

Revenue = 75x + 90y

The overhead cost is $1350, hence to make profit:

Revenue ≥ cost

75x + 90y ≥ $1350

The inequality that show how  many of each bike model must be sold so the

company avoids losing money is 75x + 90y ≥ $1350

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Answer:

2x - 3 = 6

Step-by-step explanation:

solve for 'x':

2x - 3 = 6

2x = 9

x = 9/2 or 4 1/2

Check:

2(9/2) - 3 = 6

9 - 3 = 6

6 = 6

Answer:

9x5=45x5=225+5=230

Step-by-step explanation:

Answer:

16.7% (to 3sf)

Step-by-step explanation:

Percentage decrease

= [tex]\frac{42-35}{42}[/tex] × 100%

= [tex]\frac{7}{42}[/tex] × 100%

= [tex]\frac{1}{6}[/tex] × 100%

= 16.7% (to 3sf)

Answer: 42 cm

Step-by-step explanation:

First since the second side length is unknow we need to find it.

We will use the Pythagorean theorem which is [tex]a^{2} + b^{2} = c^{2}[/tex]

Since we will be solving for b we will rearrange the equation to be

[tex]b^{2} = a^{2} - c^{2}[/tex]

now to slove input the data we know

[tex]b^{2}[/tex] = 144 - 225

[tex]b^{2}[/tex] = 81

[tex]\sqrt{b^{2} } = \sqrt{81}[/tex]

[tex]b[/tex] = 9

With the two sides we simply add up all the sides for the perimeter

9+12+9+12 = 42

Answer: 780

Step-by-step explanation:

Answer:

When f(x)= 3x – 1 and g(x) = 7x + 6,

f(g(x)) = 21x + 17

and

g(f(x)) = 21x - 1

Step-by-step explanation:

Given:

f(x) = 3x - 1

g(x) = 7x + 6

To find f(g(x)), substitute the value of g(x) into f(x).

f(g(x)) = f(7x + 6)

Substitute variable.

f(7x + 6) = 3(7x + 6) - 1

Distribute the 3 inside the parenthesis.

f(7x + 6) = 21x + 18 - 1

Subtract 1 from 18.

f(7x + 6) = 21x + 17

Therefore, f(g(x)) is 21x + 17.

To find g(f(x)), substitute the value of f(x) into g(x).

g(f(x)) = g(3x - 1)

Substitute variable.

g(3x - 1) = 7(3x - 1) + 6

Distribute the 7 inside the parenthesis.

g(3x - 1) = 21x - 7 + 6

Add 6 to -7.

g(3x - 1) = 21x - 1

Therefore, g(f(x)) is 21x - 1.