Consider the following system of equations: y = 5x + 6
y = −x − 7

Which description best describes the solution to the system of equations?

Line y = 5x + 6 intersects line y = −x − 7.
Lines y = 5x + 6 and y = −x − 7 intersect the x-axis.
Lines y = 5x + 6 and y = −x − 7 intersect the y-axis.
Line y = 5x + 6 intersects the origin.

Answers

Answer 1

Answer: it says
which best describes the SOLUTION to the system of equations
the solution is the set of points that satisfies both equations, it is also the intersection

therfor the answer is the first option "Line y = 5x + 6 intersects line y = −x − 7."

Answer 2

Answer:

Answer:

Line y = 5x + 6 intersects line y = −x − 7.

Step-by-step explanation:

Both Lines intersect both the x and the y axis.
y = 5x + 6

y = −x − 7
Hope this Helps! :)))

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You want to buy a house in 9 years. The estimated cost is $175,800.00. You want to make a 20% down payment and closing costs are 7%. How much in totality do you need to save each month to reach your goal if you cover closing costs and the down payment?

Answers

You have to save $439.50 each month to reach your goal if you cover closingcosts and the down payment.

What is the down payment?

A down payment is a sum of money that a buyer pays in the early stages of purchasing an expensive good or service.

You want to buy a house in 9 years.

The estimated cost is $175,800.00. You want to make a 20% down payment and closing costs are 7%.

The amount for the down payment:

175,800 x 20% = 35,160

The closing cost of house is;

175,800 x 7% = 12,306

Amount to save: 35,160 + 12,306 = 47,466

The monthlysavings is;

9 years x 12 months = 108 months

47,466 / 108 = 439.50 savings per month.

Hence, you have to save $439.50 each month to reach your goal if you cover closingcosts and the down payment.

Learn more about down payment here;

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Let f(x) = x^2 + 6 and g(x) = x+8/x. Find (g ° f)(-7)

Answers

g(55)= (55+8)/55

Now just simplify the numerator.

WOULD YOU RATHER use a coupon for $20 off 10of your order OR use a coupon for 20% off of your order?Use mathematics to justify your answer.

Answers

Answer:

Well it would depend on the price

Step-by-step explanation:

if it was for $100 item , these are the same but, if its more, the 20% will be higher off the bigger the price

so I would much rather have 20% off for and item more than 100 dollars and prefer 20$ off to something under a $100

A 20m ladder and a 15m ladder were leaned against a building. The bottom of the longer ladder was 7m farther from the building than the bottom of the shorter ladder, but both ladders reached the same distance up the building. Find this distance.6m

12m

10m

9m

Answers

Answer:

The correct answer is: d=9m

Step-by-step explanation:

Ok, the ladders leaned against a building make two right triangles with same the same height, which we will call h. For the 20m ladder, its leg is (7+d) and for the 15m ladder, its leg is d, and the two hypotenuses are 20 and 15 respectively.

Then, using the Pythagorean Theorem we have:

20m ladder:

20^2 = h^2 + (d+7)^2 (Eq. 1)

400 = h^2 + d^2 + 2*7*d + 7^2 (expanding the theorem)

400 = (h^2 + d^2) + 14*d + 49 (Eq. 2)

15m ladder:

15^2 = h^2 + (d)^2 (Eq. 3)

Since h^2 + (d)^2 is equal to 15^2, we can substitute (2) into (3):

400 = (15^2) + 14*d + 49

400 = 225 + 14*d + 49

14*d = 400 - 225 - 49 (clearing the variable d)

14*d = 126

d = 9 m

And since we now know that d is equal to 9m. For the longer ladder is (d+7)=(9+7)=16m.

And, then the shorter ladder is 9m from the building and the longer ladder is 16m from the building

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5/8 divided 4

Answers

Answer:

5/32 in fraction form

0.1563 in decimal form.

Step-by-step explanation:

step 1 Address formula, input parameters & values.

Input parameters & values:

5/8 & 4

5/8 ÷ 4= ?

step 2 Multiply 5/8 with reciprocal of 4

=5/8 x1/ 4 =5/32

Thus, 5/32 is equivalent fraction for 5/8 divided by 4

Answer:

0.15625

Step-by-step explanation:

9. Betsy's softball team won 47 games, lost15 games, and tied none. What fractional
part of the games played did the team
win?

Answers

Answer:

47/62

Step-by-step explanation:

62 total games won 47 therefore 47/62

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