Select the correct answer.
Solve the system of equations.

y = x + 3
[tex]y=x^{2} +7x+8[/tex]

A.
(-1,-4) and (-5,-8)
B.
(-1,2) and (-5,-2)
C.
(1,4) and (5,8)
D.
(-1,-2) and (-5,2)

Answers

Answer 1

Answer:

B.  (-1,2) and (-5,-2)

Step-by-step explanation:

Substitute x + 3 in for y in the second equation.  you get

[tex]x + 3 = x^{2} + 7x + 8\\x^{2} + 6x + 5 = 0[/tex]

(x + 1)(x + 5) = 0

x + 1 = 0    or  x + 5 = 0

x = - 1       or     x = -5

Using the first equation, let x = -1  and x = -5 in order to get the corresponding values for y

y = -1 + 3 = 2           and y = -5 + 3 = -2

So, B is the correct answer.


Related Questions

Pensé dos números. Sumados dan 38 y restados dan 2. ¿Qué números son?

Answers

Answer:

sorry I cannot help you sir can you translate it into English

14.3 times 6.2

[NEED ANSWER ASAP]

Answers

Answer:

88.66

Step-by-step explanation:

used calculator

w is directly proportional to u if w=5 when u=3,find u when w is =2/7​

Answers

Answer:

u = 6/35

Step-by-step explanation:

w = k * u

w = ku

Where

k = constant of proportionality

if w=5 when u= 3

w = ku

5 = k * 3

5 = 3k

k = 5/3

find u when w is =2/7​

w = ku

2/7 = 5/3 * U

2/7 = 5/3u

u = 2/7 ÷ 5/3

= 2/7 × 3/5

= (2*3)/(7*5)

= 6/35

u = 6/35

Can someone help me please?

Answers

3/10=0.3=30%

725/1000=0.725=72.5%

4/10=0.4=40%

What is 3 3/4 - 2 1/3

Answers

Answer:

1 5/12

Step-by-step explanation:

decimal form, 1.416

Answer:

3 1/4 + 2 1/3 = 67/

12

= 5 7/

12

≅ 5.5833333

Step-by-step explanation:

if two sides of a triangle measurement 8cm 12cm what is the range of the third side

Answers

Umm I think maybe 4cm or 16cm

Ethan is designing a new board game, and is trying to figure out all the possible
outcomes. How many different possible outcomes are there if he spins a spinner with
three equal-sized sections labeled Walk, Run, Stop and rolls a fair die in the shape of
a cube that has six sides labeled 1 to 6?

Answers

Answer:

18

Step-by-step explanation:

3x6

helpppppppppppppppppppppppppppppppp plzzzzzzzzzzzzzzzzzzzz

Answers

Last one I got 5 37/45 but it says round to the nearest

8r2 in fraction form

Answers

8r^2 eight r squared hope this is right

It is the simplest fraction form

Is -50 greater than 2

True or false

Answers

FALSE

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

because negative (-) numbers are always smaller than positive (+) numbers

PLEASE HELP WITH THIS, IMAGE ATTACHED.

Answers

Answer:

A≈837.77 since it's only one decimal place A≈837.8

Step-by-step explanation:

Formula: A = πr²

What is the slope of the line that contains these points?
-1 1
3
5
y
10
2
-6
414

Answers

m=-1-1/10-2=-2/8= -1/4

can someone pls help me
write 3lgx + 2-lgy as a single logarithm​

Answers

Answer:

log(x^3*y^(-2))

Step-by-step explanation:

two log rules you need to know for this question:

alogb = log(a^b)

logx + logy = logxy

you can start by getting rid of the term in front of the log, or a

also is it 2 minus or 2 times negative? im assuming it's 2 times negative because it is more likely

log (x^3) + log (y^-2) = log (x^3*y^-2)

This is a short answer question.
Describe what the graph and equation look like for each of the parent functions.

Answers

Answer:

there you go there's your answers

Step-by-step explanation:

→A parent function is the simplest function of a family of functions. of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II.

€xample→

For example, you can simplify "y=2*sin(x+2)" to "y=sin(x)" or "y=|3x+2|" to "y=|x|." Graph the result. This is the parent function. For example, the parent function for "y=x^+x+1" is just "y=x^2," also known as the quadratic function.

24x^2 + 26x - 104 solve for x

Answers

Answer: 24x2+26x−104 or -104

Step-by-step explanation:

What is the Value of X
What is the Length of JM?

Answers

Answer:

JM = 17

x = 12

Step-by-step explanation:

The given triangles are similar with ASA rule if so then x + 5 must be equal to 2x - 7

x + 5 = 2x - 7 and 5 + 7 = 2x - x

12 = x

The length of JM

2x - 7 can be written as 2×12 - 7 = 17

You deposit $250 in an account. The account earns $20 simple interest in 4 years. What is the annual interest rate?

Answers

Answer:

5.00

Step-by-step explanation:

20/4 years = 5 per year

Select the correct answer.
Steven went to play video games in Games Galore arcade. Games Galore charges $1.50
for each game played. Represent the relationship between total cost, y, and number of
games played, x using a table, graph and equation. Is this relationship a proportional or
additive relationship? Explain.
Proportional
Additive

Answers

Answer:

The answer is proportional

Step-by-step explanation:

I took the test and got 5/5

The given relationship is a proportional relation.

What is proportionality?

In mathematics, proportionality indicates that two quantities or variables are related linearly. If one quantity doubles in size, so does the other; if one of the variables diminishes to 1/10 of its former value, so does the other.

Given that, Steven went to play video games in Games Galore arcade. Games Galore charges $1.50 for each game played

Establishing the equation, we get,

y = 1.50x

Where 1.50 is the slope of the line, and, y is total cost and x is the number of game played.

When x = 2,

y = 1.50X2

y = 3

(2, 3)

When x = 4

y = 1.5X4

y = 6

(4, 6)

When x = 6

y = 1.5X6

y = 9

(6, 9)

Here we see that the value of y is varying from the value of x by 1.5 times.

Hence, The relation is a proportional relation.

For more references on proportional, click;

https://brainly.com/question/3254974

#SPJ2

Help me out plz ????

Answers

96 cm^2

Each side has an area of 24 cm^2, so just multiply that by 4

A dealer of electric oven sold an induction heatet at Rs.4,200 with 13% VAT to a retailer. The retailer added transportation cost of Rs.250, profit 15% and local tax Rs.150 and sold to a costumer. How much will be paid for that heater if he/she has to pay 13% VAT​

Answers

Answer:

$6,619.42.

Step-by-step explanation:

Since a dealer of electric oven sold an induction heater at Rs. 4,200 with 13% VAT to a retailer, and the retailer added transportation cost of Rs. 250, profit 15% and local tax Rs. 150 and sold it to a costumer, To determine how much will be paid for that heater if the consumer has to pay 13% VAT, the following calculation must be performed:

((4,200 x 1.13) x 1.15 + 250 + 150) x 1.13 = X

((4,746 x 1.15) + 250 + 150) x 1.13 = X

(5,457.9 + 400) x 1.13 = X

5,857.9 x 1.13 = X

6,619.42 = X

Thus, the price to be paid by the consumer will be $ 6,619.42.

a man sold two jeans at Rs 800. On one he gains a profit of 10 percent on other he loses 15 percent how he gain or loses in whole transaction

Answers

Answer:

1st jean:

100%-> 800

110%->880

880-800=80 ( earned)

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

2nd jean:

100%->800

85%->680

800-680=120(lost)

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

120-80=40 (lost)

I need help on this assignment, I need to find the angles of the blank spaces. Anything is appreciated!

Answers

Answer:

3: 97

10: 97

9: 83

5: 97

7: 83

16: 97

Im 100% on these answers bc Ive already taken this class :)

Answer:

Step-by-step explanation:

9) m∠3 = m∠2  {Vertically opposite angles}

m∠3 = 97

m∠10 = m∠2       {Corresponding angle}

m∠10 = 97

m∠9 +m∠10 = 180  {Linear pair}

m∠9 + 97   = 180

         m∠9 = 180 - 97

        m∠9  = 83

m∠6 = 83

m∠5 + m∠6 = 180 {linear pair}

m∠5 + 83 = 180

         m∠5 = 180 - 83

m∠5 = 97

m∠7 = m∠6  

m∠7 = 83

m∠8 = m∠5           {Vertically opposite angles}

m∠8 = 97

m∠16 = m∠8      {Corresponding angle}

m∠16 = 97

please help me with this

Answers

Answer: A. 2[tex]\sqrt[3]{6}[/tex]

Step-by-step explanation:

Aubrey's dinner cost $85 She tips the waitstaff 30%, percent for excellent service.

Answers

Answer:

She tipped $25.50 and paid a total of $110.50

Step-by-step explanation:

hope this helps you out

Pete is choosing his clothes for the day. His bottoms will be either cargo shorts(C) or jeans (J). His top will be T shirt (T), sweatshirt (S), or long sleeved shirt (L)

Answers

The question is incomplete. Here is the complete question.

Pete is choosing his clothes for the day. His bottoms will be either cago shorts (C) or jeans (J). His top will be T-shirt (T), sweatshirt (S) or long sleeved shirt (L).

Which is a complete list of the possilbe outfits he can choose from?

CT, CS, CL, JT, JS, JL

CJ, CT, CS, CL

CJT, CJS, CJL

CT, TC, JS, SJ, CL, LC

Answer: CT, CS, CL, JT, JS, JL

Step-by-step explanation: The Fundamental Counting Principle is a method of determining a number of ways independents events can occur, i.e., it states that if there are t ways of doing something and w ways of doing another, then there are t x w ways of doing both things.

For example:

Peter has 2 choices of bottom and 3 choices of top. So, according to the principle, he will have 2 x 3 choices of clothing.

And the choices are:

shorts and t-shirt = CT

shorts and sweatshirt = CS

shorts and long sleeved = CL

jeans and T-short = JT

jeans and sweatshirt = JS

jeans and long sleeved = JL

The order he chooses doesn't matter.

So, the right alternative is CT, CS, CL, JT, JS, JL.

BRAINLIEST to wherever gets this correct ​

Answers

Answer:

[tex]300\pi[/tex] cubic feet

Step-by-step explanation:

Let r be the radius of cone and h be the height of cone.

Radius of cylinder=r

Height of cylinder=h

Volume of cone=[tex]100\pi ft^3[/tex]

We have to find the volume of cylinder.

We know that

Volume of cone=[tex]\frac{1}{3}\pi r^2 h[/tex]

[tex]100\pi=\frac{1}{3}\pi r^2 h[/tex]

[tex]r^2 h=300[/tex]

Volume of cylinder=[tex]\pi r^2 h[/tex]

Using the formula

Volume of cylinder=[tex]\pi (300)=300\pi ft^3[/tex]

Hence, the volume of cylinder=[tex]300\pi[/tex] cubic feet

I did this myself, but I kept getting negative numbers can someone else try and do this and see what you get ​

Answers

Answer:

6

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

4x = 2x + 12

4x - 2x = 2x - 2x + 12

2x = 12

2x ÷ 2 = 12 ÷ 2

X = 6

Plug into HI

9 × 6 + 13 = 67

If AD=8 and BD=4, what is the length of DC⎯⎯⎯⎯⎯⎯?

The figure shows right triangle C A B with altitude A D to hypotenuse B C.

DC = 4
DC = 20
DC = 8
DC = 16

Answers

Answer:

the answer should be 16!

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.

Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.


100 POINTS
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.

Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.

Answers

Answer:

Equations for each salesman:

A. p(s) = 65sB. p(s) = 40s + 300C. p(s) = 900

When s = 0, s= 1, s = 10 each of the gets paid:

A. p(0) = 0, p(1) = 65, p(10) = 650B. p(0) = 300, p(1) = 340, p(10) = 700C. p(0) = p(1) = p(10) = 900

The above numbers as ordered pairs:

                 A                B               C          s = 0  |    (0, 0)       | (0, 300)    | (0, 900)s = 1   |    (1, 65)      | (1, 340)     | (1, 900)s = 10 |    (10, 650) | (10, 700)   | (10, 900)

Mori is building a cage for his pet guinea pig. The bottom is 8 inches
long and 8 inches wide. How big is the bottom of the cage?

Answers

[tex]area = lw[/tex]

[tex]area = (8)(8)[/tex]

[tex]area = 64 \: {inches}^{2} [/tex]

//

[tex]perimeter = 2(l) + 2(w)[/tex]

[tex]perimeter = 2(8) + 2(8)[/tex]

[tex]perimeter = 32 \: inches[/tex]

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