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3 years ago

Hello and helpppp please!!

Mathematics

2 answers:

horsena [70]3 years ago

4 0

A.) m ≥ -28/5 is the answer

Explanation: first Distribute through the parentheses (-5m-5 ≤23)

Then- Move the constant to the right-hand side and change its sign (-5m ≤23+5)

Then- Add the numbers (-5m ≤ 28)

Last- Divide both sides of the inequality by and flip the inequality sign (m ≥ -28/5)

Hope this was helpful:)

RideAnS [48]3 years ago

3 0

Answer:

Step-by-step explanation:

-5(m+1) <= 23

(m+1) >= -23/5

m >= -23/5 - 1

m >= -23/5 -5/5

m >= -28/5

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WILL GIVE BRAINLIEST

Natasha_Volkova [10]

Answer:

see explanation

Step-by-step explanation:

In any circle the ratio of the arc length to the circumference of the circle is equal to the degree measure of the arc to 360°

3 0

3 years ago

Write a linear function f with f(0)=7 and f(3)=1.

choli [55]

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a = ( 0 , 7 ) & b = ( 3 , 1 )

First need to find the slope using the following equation :

$slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\$

$slope = \frac{1 - 7}{3 - 0} \\$

$slope = \frac{ - 6}{3} \\$

$slope = - 2$

_________________________________

We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .

$y - y(0) = m \times ( \: x - x(0) \: )$

$x(0) = x - coordinate \: \: of \: \: through \: \: point \\$

$y(0) = y - coordinate \: \: of \: \: through \: \: point \\$

$m = slope$

I choose point (( a )) to put in the equation.

$y - 7 = - 2 \times (x - 0)$

$y - 7 = - 2x + 0$

$y - 7 = - 2x$

Add sides 7

$y - 7 + 7 = - 2x + 7$

$y = - 2x + 7$

This the slope-intercept form .

Done...

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7 0

3 years ago

Solve the system of equations using substitution and Elimination

juin [17]

<h2>Greetings!</h2>

Answer:

y = $\frac{-18}{7}$ and x = $\frac{50}{7}$

Step-by-step explanation:

To solve simultaneous equations, you need to have the number in front of both x's or y's the same. (signs doesn't matter)

To get -x to -10x we simply need to multiply the first equation by 10:

-x * 10 = -10x

-9y * 10 = -90y

16 * 10 = 160

-10x - 90y = 160

Now we can add the two equations:

-10x + 10x = 0

-90y + 20y = -70y

160 + 20 = 180

-70y = 180

70y = -180

7y = -18

y = $\frac{-18}{7}$

Now plug $\frac{-18}{7}$ into the second equation:

10x + 20( $\frac{-18}{7}$ ) = 20

10x - $\frac{360}{7}$ = 20

Move the $\frac{360}{7}$ over to the other side, making it a positive:

10x = 20 + $\frac{360}{7}$

10x = $\frac{500}{7}$

Divide both sides by 10:

x = $\frac{50}{7}$

So y = $\frac{-18}{7}$ and x = $\frac{50}{7}$

<h2>Hope this helps!</h2>

5 0

3 years ago

Two planes are flying away from Toronto Pearson International Airport. The Air Canada

erica [24]

Answer:

1832 miles

Step-by-step explanation:

First we need to find the angle between the routes of the planes.

If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:

30 + angle + 45 = 180

angle = 105°

Then, we need to find the distance travelled by each plane, using the formula:

distance = speed * time

The time is 1.5 hours, so we have that:

distance1 = 800 * 1.5 = 1200 km

distance2 = 750 * 1.5 = 1125 km

Now, to find the distance between the planes, we can use the law of cosines:

distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)

distance^2 = 3356214.43

distance = 1832 miles

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3 years ago

Suzanne has a student loan balance of $25,904 with an average interest rate of 6.8 percent. Use the student loan repayment calcu

Alex_Xolod [135]

Since the problem is requiring us to use the loan repayment calculator and here is what the calculator gave:

Loan Balance: $25,506.00

Adjusted Loan Balance: $25,506.00

Loan Interest Rate: 6.80%

Loan Fees: 0.00%

Loan Term: 10 years

Minimum Payment: $0.00

Monthly Loan Payment: $293.52

Number of Payments: 120 months

Cumulative Payments: $35,223.07

Total Interest Paid: $9,717.07

It is projected that you will need an annual salary of a minimum $35,222.40 to be capable to have enough money to repay this loan. This approximation assumes that 10% of your gross monthly income will be keen to repaying your student loans. This resembles to a debt-to-income ratio of 0.7. If you use 15% of your gross monthly income to repay the loan, you will need an annual salary of only $23,481.60, but you may experience some financial difficulty. This corresponds to a debt-to-income ratio of 1.1.

8 0

4 years ago