Mathematics High School

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

I am going to repeat myself ONE LAST TIME. Please help!

What is the domain of the function y = StartRoot x EndRoot?

Answers

It’s C!

Hope this helps :)

What is the change in temperature from -8°F to 14°F?
-6°F
6°F
0
-22°F
22°F

Answers

-17 +17
Shsjxjxnxxjxjxjxjxjxjxjxjxjxjxjxjxjxjxjxjxjxj

BRAINLIEST to wherever gets this correct ​

Answers

Answer:

300π

Step-by-step explanation:

The only difference in the formulas to find volume of each is that the volume of a cone is 1/3πr² and the volume of a cylinder is just πr²

Gordon types 2,964 words in 39 minutes. Find the unit rate.​

Answers

Answer:

76 words per minute

Step-by-step explanation:

2964/39=76 words per minute

A mug is 1/3 full. The mug contains 5/6 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed number in simplest form.

I need this Asap :)
PLS and THANK YOU

Answers

Answer:

answer is 15/6 or 2 and 1/2 cups

Curved surface area of a cone is 308 cm and its slant height is 14 cm Find.
radius of the base (m) Total surface area of the cone.

Answers

Step-by-step explanation:

tsa= total surface area

csa=curved surface area

answer is in the picture

Subtract the following polynomials

1. (q² + 8) - (4q² + 1)

2. (3x + 7x² - 6) - (5x² + x + 9)​

Answers

Answer:

1.  (q² + 8) - (4q² + 1)

Simplify each term.

q²+8−4q²−1

Simplify by adding terms.

−3q²+7

2. (3x + 7x² - 6) - (5x² + x + 9)​

Simplify each term.

3x+7x²−6−5x²−x−9

Simplify by adding terms.

Tap for more steps...

2x²+2x−15

Step-by-step explanation:

Question 1
= q^2 -4q^2 + 8 -1
= 3q^2 + 7

Question 2
=7x^2 - 5x^2 + 3x - x -6 - 9
=2x^2 + 2x - 15

Select the correct answer.
What is the simplified form of V45?
OA. 15
OB. 19.5
O c. 35
OD. 53

Answers

Answer:

C. 3√5

Step-by-step explanation:

45 = 3 × 3 × 5 considering this the answer is C

Answer:

c

Step-by-step explanation:

Having some struggles with this:

Answers

The answer is the last one

Answer:

the 3rd one hope this helps

Step-by-step explanation:

There are 99 males and 121 females participating in a marathon. What percent of the participants are female?​

Answers

To do this, we first want to see how many participants there are in total by adding both males and females.

[tex]99+121=220[/tex]

Now we know that there were 220 total participants, but only 121 were females.

This allows us to set up the fraction 121/220= the percent female.

[tex]\frac{121}{220} =0.55[/tex]

or 55%

√26+10-15 cuanto es me ayudan ?​

Answers

Step-by-step explanation:

If the whole thing is in a square root, then the  answer is sqrt21.

If only sqrt26 is in the square root, then the answer is -5+sqrt26.

(esto es en español) (This is in spanish transalation)

Si todo está en una raíz cuadrada, entonces la respuesta es la raíz cuadrada 21.

Si solo la raíz cuadrada 26 está en la raíz cuadrada, entonces la respuesta es -5 + raíz cuadrada 26.

How many pounds are equal to 400 ounces

Answers

Answer: 25 pounds

Step-by-step explanation:

1 pound = 16 oz

400 oz / 16 oz = 25 pounds

I am not a professional, I am simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

Please help me giving brainliest

Answers

Answer:

90 degrees

Step-by-step explanation:

classmate is muy stupio

the non 90 degree angles are all congruent

which means each of them are 45 degrees

cuz triangle degree add up to 180

then

u use subtraction

cuz a line is 180 degrees

tan^2 30 +tan ^2 45+tan^2 60​

Answers

13/3 = 4.333

Step-by-step explanation:

tan 30 = 1/√3tan 45 = 1tan 60 = √3

= tan² 30 + tan² 45 + tan² 60 = ( 1 /√3 )² + ( 1 )² + ( √3 )² = ( 1 / 3 ) + ( 1 ) + ( 3 ) = ( 1 + 3 + 9 ) ÷ 3 = 13 ÷ 3 = 4.333

MARK ME AS BRAINLIST

Solve for x.2(-x - 4) = 4x + 16
a) 4
b) 3
c) -3
d) -4

Answers

Answer:

44

Step-by-step explanation:

Answer:

X=-4

Step-by-step explanation:

First, we must solve for the parenthesis so...

-2x-8=4x+16

Then we must simplify this even more so lets add the 8 to 16

-2x=4x+24

Then we must subtract 4x from -2x

-6x=24

we must now divide 24 by -6 so we can isolate the x

x=-4

I hope this helped :)

Seis albañiles hicieron una barda de 180 m2 durante 12 días. ¿Cuántos días necesitaran 5 albañiles para levantar una barda de 100 m2 ?

Answers

Answer:

8 dias

Step-by-step explanation:

Primero tenemos que averiguar cuantos m2 pueden levantar los seis albañiles en 1 dia. Esto lo calculamos dividiendo los 180m2 por los 12 dias que les llevo hacerlo.

180 / 12 = 15 m2 por dia

Ahora tenemos que dividir este numero por los 6 albañiles para calcular cuantos m2 hace 1 albañil por dia

15 / 6 = 2.5

Ahora tenemos que multiplicar este m2 por los 5 albañiles que pide la pregunta

5 * 2.5 = 12.5 m2 por dia

Finalmente, necesitamos dividir los 100 m2 por los 12.5 m2 que pueden hacer los 5 albañiles por dia.

100 / 12.5 = 8 dias

Determine the value of y, if x is-9.

Answers

Answer:

[tex]y=82[/tex]

Step-by-step explanation:

We know the value of x is -9 so we can plug it in as -9.

[tex]y=x^2+1\\y=(-9)^2+1\\y=81+1\\y=82[/tex]

Answer:

82=y

Step-by-step explanation:

-9 x -9 = 81

81 + 1 = 82

5/x=-9

find the variable

Answers

5/x = -9

5 = -9x (we have multiplied x out from the denominator)

5/-9 = x (divided by -9 to isolate x)

Answer:

x = -5/9

Step-by-step explanation:

5/x = -9

multiply by x on both sides

5 = -9/x

multiply by 1/-9 on both sides

-1/9*5 = -1/9 *-9/x

-5/9 = x

Find the area of the inner and the outer circles, shown in the figure below. Use 3.14 for pi.


Answers

The radius of the outer circle is 17 so you put that in the formula to find the area of a circle and solve to get 153.86 squared meters as the final answer. The radius of the inner circle is 7 because it shows that the upper part of the circle is 10 and the whole thing is 17, so you do 17-10 to get 7 as the radius. Then put it in the formula and get the final answer as 907.46 squared meters.

you buy some bags of tomatoes for $6.75. If each bag costs $2.25, how many bags do you buy?

Answers

Answer:

you would of bought three bags of tomatoes

Jennifer is four less than three times Toby's age. If Jennifer is 23, then how old is Toby? equation: solution:​

Answers

Answer:

T = Toby

T=(23+4)/3

Step-by-step explanation:

If Jennifer’s age is 4 less than 3 times Toby’s age then Jennifer’s age by three,

T=(23+4)/3

and 3 times that, so we divide

T=(23+4)/3

Then Toby is 9 years of age, and shouldn’t be driving.

Toby is 9 years old. Here’s how:

21-8x-4+9x please step by step

Answers

Answer:

=x+17

Step-by-step explanation:

happy to help ya :)

-8x+9x=1x

21--4=21+4

21+4=25

Answer-->25

First to answer all 3 correct gets brainliest !!!!!!!

Answers

Answer:

90

Step-by-step explanation:

1. 90 degrees
2. Yes
3. 2

can someone properly explain the multiplier method I need help for revision

Answers

Answer:

yes

Step-by-step explanation:

I'm ready to help anyone in maths

Pleas help if possible :)

Answers

Answer: i don’t know but good luck, you got this!Have a nice day!

Step-by-step explanation:

ANSWER M= (0, 5)
To get the midpoint you will need to use the formulas: x1 +x2 divided by 2, and y1 + y2 divided by 2.
X=0 (or undefined) Y=5
ANSWER AB: 6
Square root: (3 - (3))^2 + (5 - 5)^2 to get 6
I’m sorry if that sounds a little complicated

Write the equation of the line that passes through the points (8, 14) and (-2,-16) in slope-intercept form.

Answers

Answer:

y = 3x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 14) and (x₂, y₂ ) = (- 2, - 16)

m = [tex]\frac{-16-14}{-2-8}[/tex] = [tex]\frac{-30}{-10}[/tex] = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 14 ) , then

14 = 24 + c ⇒ c = 14 - 24 = - 10

y = 3x - 10 ← equation of line

Miles and Lucy decide to sell lemonade to earn some money. They buy pitchers, ice, and mix for a cost of $13.50. The mix makes 8 quarts of lemonade. They decide to sell one cup of lemonade for $0.75. If they sell all 8 quarts, how much revenue will they make and will they make enough to earn $12 each? (4c=1q)

Answers

Answer:

Altogether they made $24 which is enough to earn $12 each

Step-by-step explanation:

Important information:

1 cup: $0.75

4 cups = 1 quart

8 quarts of lemonade altogether

If we are looking to solve for the revenue earned based on quarts, we must first solve for how much money they make on 1 quart

Since 1 cup sells for $0.75 and 4 cups makes up a quart, we must multiply

0.75 × 4 = 3

They make $3 per 1 quart

We are looking for the amount for 8 quarts though, not just 1. Again we must multiply

3 × 8 = 24

They will make $24 if they sell all 8 quarts

The questions ask if they will each earn $12

Since there are two of them, Miles and Lucy, we must divide revenue earned by 2, the number of people

24 ÷ 2 = 12

$12

Select the correct answer.
Identify the vertex of the function graphed below.


A.
(0,-2)
B.
(3,1)
C.
(1,1)
D.
(2,2)

Answers

Answer:

I think the answer is B

Step-by-step explanation:

Answer:

think it d

Step-by-step explanation:

because when i pick (3,1) it was wrong so that why it think it D

i really need help ASAP, its due on midnight

Answers

Answer:

a. s=94 b. s=8w+54 c. w=14

Step-by-step explanation:

I posted a picture how I got this answer

Hope this helped

Find the exact value of sin space 2 theta when tan theta equals negative 12 over 5 where fraction numerator 3 pi over denominator 2 end fraction less or equal than theta less or equal than 2 straight pi.

Answers

Answer:

-120/169

Step-by-step explanation:

Sin2theta = 2sintheta costheta

Given that tan theta = -12/5

Opposite = -12

Adjacent = 5

Using Pythagoras theorem

Hyp = √(-12)²+5²

Hyp = √144+25

Hyp = √169

Hyp = 13

Cos theta = adj/hyp

Cos theta = 5/13

Sin theta = opp/hyp

Sin theta = -12/13

Substitute

Sin2theta = 2(-12/13)(5/13)

Sin2theta = -120/169

Hence sin 2theta = -120/169

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