Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x - 40? Determine the solution set algebraically. O (-5, -80) (5,0) O (5,0) and (-5, -80) O no solutions​

Answers

Answer 1

Answer:

(5, 0)

Step-by-step explanation:

Se the equations equal

x² - 2x - 15 = 8x - 40

Subtract 8x from both sides

x² - 10x - 15 = -40

add 40 to both sides

x² - 10x + 25 = 0

Factor

(x - 5)(x - 5) = 0

x = 5

---------------

plug in x = 5 into

y = 8x - 40

y = 8(5)- 40

y = 0

-----------------

Solution

(5, 0)


Related Questions

Determine the equation of the line that passes through (5,2)and has the same y-intercept as y = 3

Answers

Answer:

y = -0.2(x) + 3

Step-by-step explanation:

One way to find an equation for a line is to find two points and go from there. To find the second point, we can note that the y intercept means when x=0. In the line y=3, y is always 3, so when x=0, y = 3.

Our two points are then (5, 2) and (0,3)

To find the slope, we can use

[tex]\frac{y_2 - y_1}{x_2-x_1} = \frac{3-2}{0-5} \\= \frac{1}{-5} \\= -0.2[/tex]

Using the formula y = mx + b and the slope m = -0.2, plugging into (5, 2) and solving for b, we get

2 = -0.2 (5)  +b

2 = -1 + b

add 1 to both sides to isolate the b

b = 3

Our formula is thus

y = -0.2(x) + 3

If x+y=4a+7 and x-y=2a+5, solve for x in terms of a
A. 2a+2
B. 2a+5
C. 2a+6
D. 3a+4
E. 3a+6

Answers

Answer:

A

Step-by-step explanation:

x + y = 4a + 7

x - y = 2a + 5

In both equations, make x the subject of the formula

x = 4a + 7 - y equation 1  

x = 2a + 5 + y equation 2

Subtract equation 2 from equation 1

2a + 2 -2y

= 2a + 2

Which equation is represented by the graph below?

5
4+
3+
2+
1 2 3 4 5
X
54 -3 -2 -11
-27
-3
-4

Answers

Answer:

y = eˣ

Step-by-step explanation:

(Graphed via Desmos)

what is the probability of picking the most expensive car from a range of 6 new cars

Answers

Hii! So I answered a question just like this HOWEVER it was with the dice analogy but it is the same concept and the same answer.

Now I believe that word “expensive” was used to confuse you but simply put, the probability of getting “the most expensive car” is 1/6. It is 1/6 because there is nothing that heightens its chances of being picked over the other cars, hence the probability of any car will be equal to that of the “most expensive car”.

And for a percentage:
(1/6) x (100) = 16.67%

(I included a picture of the solution I did for the question I answered previously)

I hope this helps!
If you do not understand, feel free to let me know so I can explain it better.

:)

The solution is: 16.67% is the probability of picking the most expensive car from a range of 6 new cars.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, we have,

given that,

the most expensive car from a range of 6 new cars.

so, total sample space = 6

the number of favorable outcome = 1

so, probability = 1/6

Now, the word “expensive” was used to confuse you but simply put, the probability of getting “the most expensive car” is 1/6.

It is 1/6 because there is nothing that heightens its chances of being picked over the other cars,

hence the probability of any car will be equal to that of the “most expensive car”.

And for a percentage:

(1/6) x (100) = 16.67%

Hence, The solution is: 16.67% is the probability of picking the most expensive car from a range of 6 new cars.

To learn more on probability click:

brainly.com/question/11234923

#SPJ2

1. Deborah finds that the theoretical probability of flipping "heads" on a fair coin was
50%. After she flipped the fair coin 100 times, she calculated that she Flipped "heads"
45 times. What is the percent difference in theoretical and experimental probability?

Answers

Answer:

29

Step-by-step explanation:

If you calculate the difference with the 45 and percentage you will get 29 including with the X and - should be east

Help please!

What is the probability of picking a purple marble and spinning green? 2 Answer: Write the answer as a simplified fraction.​

Answers

Answer:

3/28

Step-by-step explanation:

1/7 times 6/8

Yep he or she is right have a nice day

If f (x) = 3x² + 5x – 7 and g(x) = -5x2 - 4x + 1 what is f +g?

Answers

Answer:

Use Microsoft Math Solver

Step-by-step explanation:

it helps with all your math problems

Does anybody know it part 2

Answers

Answer:

x = 33

Step-by-step explanation:

(x + 13) + (4x + 2) = 180

x + 13 + 4x + 2 = 180

5x + 15 = 180

5x = 180 - 15

5x = 165

x = 165/5

x = 33

Check:

(x + 13) + (4x + 2) = 180

(33 + 13) + 4(33) + 2 = 180

46 + 132 + 2 = 180

46 + 134 = 180

Help pleasee! I need to get this right.

Answers

Answer:

You got it! B. x ≤ -7 or x ≥ 2

Step-by-step explanation:

In inequalities, a filled dot means "also including," so the value at which the filled dot is placed is also included in the inequality (hence the "or equal to"). In this case, both red dots (at -7 and 2) are filled, so both values are included in the inequality.

The red portions are part of the inequality. Looking at the arrow going from -7 and pointing to the left, we can tell that that value and the ones smaller than -7* are included, so it would be x ≤ -7.

Looking at the arrow pointing from 2 to the right, it includes 2 and all the numbers to the right of it, so the inequality would be x ≥ 2.

So, the final answer is B. x ≤ -7 or x ≥ 2.

*the value of negative numbers decreases as the numbers themselves increase (-5 is larger than - 36, for example).

Find the missing side

Answers

Answer:

See below

Step-by-step explanation:

Remember SOHCAHTOA

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

In this case we use TOA.

tan(71) = x/34

x = tan(71) * 34

x = 98.7

Find the 6th term in the
sequence.
5, 20, 80,...
Hint: Write a formula to help you.
1st ferm - Common Ratio desired term - 1)

Answers

Answer:

5,120

Step-by-step explanation:

5x4=20

20×4=80

80x4=320

320x4=1,280

1,280x4=5,120

Hope this helps! :)

Answer:

Step-by-step explanation:

first term a=5

common ratio r=20/5=4

[tex]a_{n}=ar^{n-1}\\a_{6}=5(4)^{6-1}\\=5(4)^5\\=5120[/tex]

Giving brainly help find Find m∠H.

Answers

8X -2 + 5X + 26 =180

13X +24 = 180

13X = 180-24
13x = 156

X = 156/13

X= 12

Now replacing the value of 12 in 5X +26


5* 12 + 26 = 60 + 26 = 86


Mark brainliest please!

The required measure of the angle m∠H is given as 94°.

What are the angle?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
For trapezoid, the sum of the adjacent angle is 180°
m∠H + m∠G = 180
5x + 26 + 8x - 2 = 180
x = 12

Now,
m∠H = 8x - 2
        = 8 (12) - 2
        = 94°

Thus, the required measure of the angle m∠H is given as 94°.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ2

Two radar stations 2.5 miles apart are tracking an airplane. the straight-line distance between Station A and the plane is 7 miles. the straight-line distance between station B and the plan is 9 miles. What is the angle of elevation from Station B to the plane?

Answers

Answer: Hi the answer would be 32 Degrees

Step-by-step explanation:

The answer to this question is 32 degrees

What's The actual length of QR (round to 3 decimal places) ?

Answers

Answer:

4.383

Step-by-step explanation:

Pythagoras

a² + b² = c²

with c being the baseline of the rectangular triangle (the line opposite to the 90 degree angle).

so, in our example here c=6.5cm, a=QR, b=4.8cm

a² = c² - b² = 6.5² - 4.8² = 19.21

a = sqrt(19.21) = 4.383


plsss helppp i have 1hr left

What is the value of x in the equation *x - y = 30, when y = 15?
O 4
8
O 80
O 200

Answers

Answer:

Is there an option of 45

Step-by-step explanation:

x-15=30

so +15

x=45

Find the product of 21 and (6.3 · 10x^{-4} ).

1.) 1.323 · 10 x^{2}
2.) 1.323 · 10 x^{-3}
3.) 0.1323 · 10 x^{-1}
4.) 1.323 · 10 x^{l2}

Answers

Answer:

1.  13.23x^2

2.  13.23/x^3

3 .  1.323/x

4.13.23x^12

Step-by-step explanation:

pls mark me brainlest if u can those took forever lol

Miguel is working at the county fair. On​ Friday, he works at the concession stand. On​ Saturday, he works at the balloon dart booth. At the concession​ stand, Miguel sells 7 soft pretzels for every 2 candied apples. How much profit will the concession stand make if it sells 161 soft​ pretzels? Explain.

Answers

Answer:

$362.25

Step-by-step explanation:

Profit made per product :

Soft pretzel = $5.25 - $3.50 = $1.75

Candied apple = $3.50 - $1.75 = $1.75

For every 2 candied apple sold, 7 soft pretzel is sold :

If 161 sold pretzel is sold, the number of candied apple sold will be :

(161 / 7) * 2

23 *. 2 = 46 candied apple was sold

Profit made on product sold :

Soft pretzel = $1.75 * 161 = $281.75

Candied apple = $1.75 * 46 = $80.5

$(80.5 + 281.75) = $362.25

Select two ratios that are equivalent to 7: 10.
Choose 2 answers:
А)
21:30
17:20
10:13
D
26:40
35:50

Answers

Answer:

21:30 (Both numbers are multiplied by 3)

35:50 (Both numbers are multiplied by 5)

which of the following is a convex polygon? ​

Answers

Answer:

option b is the correct answer

Step-by-step explanation:

in convex polygon, none of the interior angle is greater than 180deg.

Two baseball teams are selling raffle tickets to raise money. One team is selling tickets for $2.50 each and has already raised $200. The other team is selling tickets for 1.50 each and has already raised $250.

Which equation can be used to find t, the number of additional tickets each team needs to sell so that the total amount raised is the same for both teams?

Answers

The other team sold 86 more tickets than the first team. The team who was selling the tickets at 2.50 only sold 80 tickets but the Team who was selling the tickets at 1.50 sold 166 tickets. I hope this helps!

Answer:

hsjnzxiiandmdoqgsshzbx

If land is valued at $2400 per acre (1 acre is 43560 square feet), what is the value of the parcel of land?

Answers

Answer:

below

Step-by-step explanation:

the solution is

$2,400 * 43,560

=$104,544,000

What does it mean buy “Determine the total volume of the doghouse.”

I’ve already done all the work for each shapes on a dog house, I figured out all the volumes for each but does this question mean, do I add all my volume together? They are all really big numbers

Answers

can you give the question?i can help you solve it

Graph the line that represents this equation: y = -5x +2

Answers

Answer:

Step-by-step explanation:

The +2 is the y-intercept, what value is y when x is zero. The -5/1  is your slope. Slope is always rise over run, y over x. Over 1, down 5

Miss Chambers bought 5 pens for $255, if she made a profit of $3 each per pen how much did she sell a pen for?​

Answers

Answer:

$54

Step-by-step explanation:

First, we calculate the amount she paid for each pen.

$255/5 = $51

She paid $51 for each pen.

She made a profit of $3 per pen, so she sold each pen for $51 + $3 = $54

Answer: $54

Find the total volume

Answers

Answer:3,500,640

Step-by-step explanation:

You multiply length×width×height

Sorry if I am wrong.

Can someone please help asap thank you

Answers

Answer:

7%

Step-by-step explanation:

.07x1 is .07, therefore tax rate

please give brainliest im desperate

The circumference of a circle is approximately 39.25 mm. What is the length of the diameter?

Answers

Answer:

12.5 millimeters (mm).

Step-by-step explanation:

Explain/define:

CIRCUMFERENCE: THE DISTANCE AROUND A CIRCLE.

DIAMETER: THE LENGTH OF A STRAIGHT LINE THROUGH THE CENTER OF A CIRCLE.

Mathematics: Formula

[tex]d=c/3.14[/tex]

[tex]d-diameter[/tex]

[tex]c-circumference[/tex]

Mathematics: Solve

To find the length of the diameter from the circumference, divide the circumference by pi. The quotient is the diameter.

3.14 is often used for pi.

[tex]39.25/3.14=12.5.[/tex]

Conclude:

Therefore, the length of the diameter of the circle is 12.5 millimeters (mm).

A fish-tank has a length of 27 centimeters, a width of 21 centimeters and a depth of 16 centimeters. Find the volume of the fish-tank.

Answers

Answer:

To find the volume of the fish tank, we will need to multiply the height, the length, and the width of the fish tank. So, 21 x 27 x 16 = 9072 cm

Answer:

9027 cm^3

Step-by-step explanation:

V= L*W*H

V=27cm*21cm*16cm

V=567*16

V=9072 cm^3

The cm is cubed because you are also multiplying cm*cm*cm So, it would be cm cubed or cm^3

Please help me!!! I would really appreicate it but if you can't that is okay I understand :)
(MULTIPLE CHOICE)

Answers

It would be D
Because since each small square represents 2 kg. The left scale would be balanced by 10kg(2x5=10) and the left one would be 8kg(2x4=8). Therefore D would be the answer. I hope it helps)

Reduce £20 by 15%

:
:
:
:
:
:


Answers

Answer:

the new value is 17 and the absolute change is -3

Step-by-step explanation:

take 20 and subtract your percentage increase

20 - (15% × 20) =

20 - 15% × 20 =

(1 - 15%) × 20 =

(100% - 15%) × 20 =

85% × 20 =

85 ÷ 100 × 20 =

85 × 20 ÷ 100 =

1,700 ÷ 100 =

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