Solve the following system of equations algebraically:
Y = x^2 + 8x – 9
Y = 2x + 7

Answers

Answer 1
use simultaneous equations:
2x + 7 = x^2 + 8x - 9
7 = x^2 + 6x - 9
16 = x^2 + 6x
+ or - 4 = 7x
answer is
-4/7 or 4/7

Related Questions

What is the perimeter of DEFG if D is located (1,2), E is located (2,6), F is located (6,7), G is located (5,3)?

Answers

Answer:

B.

Step-by-step explanation:

First find the lengths of the DE and DG

DG=

[tex] \sqrt{(5 - 1) {}^{2} + (3 - 2) {}^{2} } \\ \sqrt{4 {}^{2} + 1 {}^{2} } \\ \\ \sqrt{16 + 1} \\ \sqrt{17} [/tex]

DE=

[tex] \sqrt{(2 - 1) ^{2} + (6 - 2) {}^{2} } \\ \sqrt{1 {}^{2} + 4 {}^{2} } \\ [/tex]

[tex] \sqrt{17} [/tex]

Since both lengths are same that's means all the lengths are same. To find perimeter we need to add all the sides

[tex] \sqrt{} 17 + \sqrt{} 17 + \sqrt{} 17 + \sqrt 17 \\ 4 \sqrt{17} [/tex]

What is the mode of the data below?
45, 19, 23, 67, 28, 35, 46, 21, 58, 60, 23, 51

Answers

Answer:

23

Step-by-step explanation:

have a good day :)


Corny the jet pilot heads his jet due cast. The jet has a speed of 440 mph relative to the
air. The wind is blowing due north with a speed of 35 mph.
(a) Express the velocity of the wind as a vector in component form.
(b) Express the velocity of the jet relative to the air as a vector in component form.
(c) Find the true velocity of the jet as a vector,
(d) Find the true speed and direction of the jet.

Answers

idek how to do this sorry

Pam says that the temperature of liquid drops more in the first three minutes of cooling then it does between time nine minutes and time 12 minutes. Is pam correct give a reason for your answer

Answers

Answer:

Pam is correct!

Step-by-step explanation:

Pam is correct it would be between nine minutes and 12!

Cast Iron Company, on each nondelinquent sale, receives revenues with a present value of $1,230 and incurs costs with a value of $1,065. Cast Iron has been asked to extend credit to a new customer. You can find little information on the firm, and you believe that the probability of payment is no better than 0.77. But if the payment is made, the probability that the customer will pay for the second order is 0.94. It costs $15.25 to determine whether a customer has been a prompt or slow payer in the past.
Calculate the minimum probability at which credit can be extended. (round answer 2 decimal places)

Answers

Answer:

[tex]P=0.866[/tex]

Step-by-step explanation:

From the question we are told that:

Present value of iron [tex]x_v=\$1230[/tex]

Present cost of iron [tex]x_c=\$1065[/tex]

Probability of payment [tex]P_p=0.77[/tex]

Probability that the customer will pay for the second order [tex]P_s=0.94[/tex]

Cost of knowing customer status [tex]x_k=\$15.25[/tex]

Generally the equation for Expected probability [tex]E_p[/tex] is mathematically given by

 [tex]E_p=(probability*(revenue-cost)-(1-probability)*present\ value\ of\ cost)[/tex]

 [tex]E_p=(P*(x_v-x_c)-(1-P)*X_c)[/tex]

  Where

  [tex]E_p=0[/tex]

  [tex]P=minimum\ probability\ at\ which\ credit\ can\ be\ extended[/tex]

Therefore

 [tex]0=(P*(1230-1065)-(1-P)*1065)[/tex]

 [tex]165P-1065+1065P=0[/tex]

 [tex]P=\frac{1065}{1230}[/tex]

 [tex]P=0.866[/tex]

Therefore the minimum probability at which credit can be extended is given as

 [tex]P=0.866[/tex]

 [tex]P=86.6\%[/tex]

Which expressions are not equivalent
? Thanks!

Answers

Answer:

D

Step-by-step explanation:

There is no 2x in D answer

7
Identify the vertex, axis of symmetry,
and y-intercept.
f(x) = -1 (x + 4)2 – 5
Vertex:
Axis of symmetry:
y-intercept:

Answers

No Vertex : 3
Axis of symmetry :1
Y-intercept : (0,13)

Can somebody tell me exactly what to put in the answer please

Answers

Answer:

I am sorry I don't know it, but once I find out I will tell you

Step-by-step explanation:

Answer:

Cylinder has no sharp points but cone as sharp edge.

27leejaey avatar

I hope that helps :D

Step-by-step explanation:

Cylinder has no sharp points but cone as sharp edge.

27leejaey avatar

I hope that helps :D

A janitor can clean 1/9 of a stadium in 1/3 of an hour. If he continues at this rate how much of the stadium can he clean pre hour

Answers

To find the the amount of how much the stadium is cleaned you can

Which ordered pair is a solution to the equation? y=x3/4
(8, 6)


(−8, 8)


(6, 8)


(−4, 1)

Answers

Answer:

(8,6)

Step-by-step explanation:

y=x3/4

y=8(3/4)

y=24/4

y=6

when you input 8 for x, you get 6 for y.

Answer:

Step-by-step explanation:

y = x3/4 is ambiguous.  I will assume that you meant

       x^3

y = ---------

         4

Then, if x = 8,  y = 128 (not a solution)

If x = -8, y = -128 (not a solution)

If x = 6, y = 54 (not a solution)

If x = -4, y = -1/4 (not a solution)]

Ensure that you have copied down this problem correctly.

PLEASE HELP! I WILL GIVE BRAINLIEST! Determine whether the statement is always, sometimes, or never true.
13. If a triangle is acute triangle, then it is an equilateral triangle.
14. If a triangle has two acute angles it must be an acute triangle. 15.An obtuse triangle can have a right angle.

Answers

Answer:

Step-by-step explanation:

13.  All equilateral triangles are acute triangles. An equilateral triangle has three sides of equal length and three equal angles of 60.~ I think it is False.

14. If a triangle has two acute angles, then the third angle must also be acute.~ I think it is true.

15.  A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. ~I think it is false.

Please don't trust me... I hope I helped

~LampteyJ

f(x) = - 2x - 3
g(x) = 3x + 1
Find (f. g)(x).

Answers

f(3x+1)=-6x-5 hope this helps!!

Write an equation in slope-intercept form for the following line:

(-14,1) and (13,-2)

Answers

Answer:

[tex] \large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

[tex] \large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }[/tex]

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

[tex] \large \boxed{y = mx + b}[/tex]

We already know m-value as we substitute it.

[tex] \large{y = - \frac{1}{9} x + b}[/tex]

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

[tex] \large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}[/tex]

Finally, we know b-value. Then we substitute it in our equation.

[tex] \large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]

Triangle ABC is shown on the grid. What is the perimeter of triangle ABC? A(-1,5) B (4, 5) C (-1,1). A 9+ sqr21 units. B 9+sqt29 units. C 9+ sqr41 units. D 9+ sqr61 units​

Answers

Answer:

C, 9+ the square root of 41

Step-by-step explanation:

got it right on edge :)

HURRY!!!!!!!!!!!!!!!!!! A stack of cards contains 21 red cards and 17 black cards. what are the odds against drawing a red card? a.17:21 b. 21:17 c. 17:28 D.28: 17

Answers

Answer:

the answer should be ( b ) if I did this correctly

what's the answer to this? (freckle)

Answers

Answer:

2/3

Step-by-step explanation:

15. Two samples of 126 people were surveyed
online and were asked, "Which is your favorite
flavor of drink?" The results are displayed below
Which choice is an inference that can be made
based on the survey results?
A More people prefer Grape over Orange
B Grape is preferred 18 to lover Cherry
C Cherry is preferred 26 to lover Tropical
Punch
D Sixteen times as many people prefer Orange
over Cherry

Answers

Answer:

Step-by-step explanation:

It’s b

Carl bought 24 daisies and roses. Daisies cost $0.25 each and roses cost $0.90 each. If
Carl spends a total of $16.40, how many daisies did he get and how many roses did he
get?

Answers

Answer:

Roses= $8.4

Daises= $15.6

Step-by-step explanation:

Let represent the daises and let r represent d roses

r + d= 24....equation 1

0.25r + 0.90d= 16.40.......equation 2

r= 25-d

Substitute 25-d for r in equation 2

0.25(25-d) + 0.90d= 16.40

6.25-0.25d+0.90d= 16.40

6.25+0.65d= 16.40

0.65d= 16.40-6.25

0.65d= 10.15

d= 10.15/0.65

d = 15.6

Sub 15.6 for d in equation 1

r+d= 24

r+15.6= 24

r= 24-15.6

= 8.4

Price of daises is $15.6

Roses is $8.4

All I need is for someone to explain how you get this answer !!
(The answer is the bottom part)

WILL MARK BRANLIEST

Answers

This is one of the easiest ways to get the answer

Answer:

THATS EASY HAHA JJUST DOWNLOAD THIS APP MATHSOLVER ITS EFFECTIVE

Step-by-step explanation:

HOPE IT HWLPS

16+8+4+2+1+1/2+1/4+1/8+....
Find the sum of the infinite geometric series.

Answers

Answer:

31 7/8

16+8=24

4+2=6

2/4+1/4=3/4+1/8=7/8

An online furniture store sells chairs for $200 each and tables for $500 each. Every day, the store can ship no more than 29 pieces of furniture and must sell at least $8800 worth of chairs and tables. If 14 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

Answer:

12, 13 ,14 ,15

Step-by-step explanation:

200x14=2,800

8,800-2,800=6,000

6,000/500=12

12+14=26

13+14=27

14+14=28

14+15=29

Amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.

Answers

Answer:

$630 per week

Step-by-step explanation:

I assume the question is asking:

Amy's older  brother works 35 hours per week. If he is paid $18 per hour, how much does he earn in one week?

$18/hour* 35 hours/week = $630/week

g(x)=2x
h(x)=4x-3
Find (g-h)(2)

Answers

Answer:

-1

Step-by-step explanation:

g(x) = 2x

h(x) = 4x - 3

(g - h)x = g(x) - h(x)

g(x) - h(x) = 2x - 4x + 3

g(2) - h(2) = 2*2 - 4*2 + 3

g(2) - h(2) = -4 + 3

g(2) - h(2) = - 1

Solve the problem. Use the Central Limit Theorem. (7) 6) The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches

Answers

Answer:

The answer is "0.9192".

Step-by-step explanation:  

[tex]\mu=109\\\\\sigma=10\\\\n=25\\\\\to P(\bar{x}< 111.8)=P(\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} < \frac{111.8-109}{\frac{10}{\sqrt{25}}})\\\\[/tex]

                          [tex]=P(2<1.4)\\\\=\phi (1.4)\\\\=0.9192[/tex]

A BIT OF HELP HERE- PLEASEE

Answers

Answer:

Solution given:

G=-17

H=5

distance =-17-5=-22

since distance is always positive so

distance between GH: 22 units.

Location

G=-17H=5

Find distance

|-17-5||-22|22units

Identify the following fractions as either proper or improper. 8. 14⁄ 15

Answers

Answer:

proper I believe if I'm wrong sorry

please help asap !!!!​

Answers

Answer:

P = 3/8

q = 1/2

Step-by-step explanation:

(3/8)^3/8 × (3/8)^1/8 = P^q

Because of the same base, pick one of the bases

Then, add the powers

(3/8)^3/8 × (3/8)^1/8 = P^q

= (3/8)^3/8 + 1/8

= (3/8)^(3+1)/8

= (3/8)^4/8

= (3/8)^1/2

Therefore,

P^q = (3/8)^1/2

Where,

P = 3/8

q = 1/2

P^q = (3/8)^1/2

= √(3/8)

If one data point is 36, which point would make 48 the mean?

Answers

60 explination, its pretty simple

neeeeeeeeeeeeed help​

Answers

Answer:

[tex]\huge\boxed{\fcolorbox{green}{pink}{Answer}}

[/tex]

D. 34 lakh

Pleaseee Help
What is the area of the shaded sector?

Answers

Answer:

40π

Step-by-step explanation:

∅ = 360 - 135 = 225

a = (∅/360) * π * r²

a = (225/360) * π * 8²

a = 40π

Other Questions
Help me with this please. The graph below shows the averaged sunspots from 1610 to 2007. The graph shows sunspot number on the y axis and years 1600, 1650, 1700, 1750, 1800, 1850, 1900, 1950, and 2000 on the x axis. The graph rises and falls in a cyclic order in gaps of approximately 10 years. The number of sunspots observed in 1610 was 40, in 1650 it was 5, in 1700 it was 10, in 1750 it was 90 and the number of sunspots in 1800 was 50. The number of sunspots observed in 1850 was 130 and the number of sunspots in 1900 was 10. The number of sunspots observed in 1950 was 150 and the number of sunspots observed in 2000 was 30. Based on the graph, which of these conclusions is correct? Some of the previously warm regions became colder from 1650 to 1700. Some of the previously cold regions became warmer from 1600 to 1700. Some of the previously warm regions became warmer from 1610 to 1700. Some of the previously cold regions became colder from 1900 to 1950. Write at least 4 sentences retelling, in order, the key events in the tale of Androcles and the lion. answer the question ask. What is citizenship acquisition? purchasing citizenship from a consular office winning citizenship through good deeds becoming a citizen by having a parent from the U.S. receiving citizen sponsorship How does the monster feel after meeting the girl in the woods? A) He feels outraged and angered because the girl shot him when he was trying to help her. B) He feels more full of rage because the girl would not be his friend and travel with him. )He feels tired and broken because he has been traveling for so long and still not found the doctor. D) He feels more vengeful because he is shot in the process of saving a girl's life, Can someone help me with thiswhy do you think mauna loa erupts periodically instead of steadily Write a note to your pen pal about the kinds of music you like best. In addition, write about any instruments you might play. Be sure you use at least 3-4 complete German sentences in your response. Simplify the variable expression below as much as possible.3x + 2y + 5-3 Which of the following is a social science?A. PsychologyB. ChemistryC. MusicD. All of the Above Which of the following is a renewable resource?Question 3 options:natural gasuraniumbiomasscoal You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 inches. What is the area of one of the triangles shown on the face of the cupboard door? Show your work. Based on the illustration on page 2, how does the author support the argument that lowering our carbon footprint is an environmental priority? Which sentence is written correctly?A. Notre htel est loin des picerie.B. Notre htel est loin de l'picerie.B Select all the sets of three side lengths that will make a triangle.2, 3, 42, 3, 52, 3, 63, 4, 53, 4, 8 WHAT WOULD YOU DO?One of your cousins wants to get revenge on the person who has bullied him or her for years. He or she asks you to help vandalize the persons property Which of the following is the quotient of the rational expression shown below? 2x+5/3x divided by 2x-1/2x+1 A prefix is a word part attached to_ a the beginning of a root word b the middle of a root word c the end of root word Please help ASAP!!!!!!!!!!!! Identify one person in your family, school or community whom you think has overcome a challenging experience in life which led to his or her success in studies, career or life in general.Note:If you don't know the answer, don't answer because you look like a fool