Is (-1,2) a solution to the following system of equations? Show and explain why or why not.
f(x)=x^2+3x+4
g(x)=2x+4

Answers

Answer 1

Answer:

It is a solution.

Step-by-step explanation:

Plug in (-1,2) to both equations:

Plug in -1 to see if 2 comes out:

f(x)=x^2+3x+4

y=(-1)^2+3(-1)+4

y=1-3+4

y=-2+4

y=2

(yes it works)

g(x)=2x+4

y=2(-1)+4

y=-2+4

y=2

(yes it works)


Related Questions

Write the expression [tex]sin(sin^-1 (\sqrt{3} / 2) - tan^-1 (x)[/tex] as an algebraic expression involving no trigonometric functions. You don’t need to rationalize the denominator.

Answers

Answer:

Step-by-step explanation:

[tex]let~sin ^{-1}(\sqrt{3} /2)=y\\sin y=\sqrt{3} /2=sin ~(\pi /3),sin (\pi -\pi /3)\\y=\pi /3,2 \pi /3[/tex]

[tex]sin ^{-1}(\sqrt{3} /2)=\pi /3,2\pi /3[/tex]

your question is not clear.

An event organiser is filling some party bags for a children's party. Each bag contains sweets, stickers and crayons. 40% of the items are stickers. The ratio of sweets to crayons is 5:3 The event organiser uses 150 sweets in total. She fills 10 party bags. How many stickers does she put in each bag?​

Answers

Answer: 16 stickers

Step-by-step explanation:

The ratio of sweets to crayons is 5:3

we know she is using 150 sweets.

so if 5 = 150, then 3 = 90.

We know there are 90 crayons and 150 sweets.

So there are a total of 240 non-sticker items

If 60% = 240, then 40% = 160

Now we know that there are 150 sweets, 90 crayons, and 160 stickers.

If she is filling 10 bags, then there are 15 sweets, 9 crayons, and 16 stickers in each.

So there are 16 stickers/bag.


Find the rule. Solve for n.
Х
8,9,11,14
Y

10,12,16,n

Rule:

Answers

Answer:

rule: y = 2x -6n = 22

Step-by-step explanation:

We can look at the ratios of differences between x and y values to determine the nature of the sequence.

x-differences

  9 -8 = 1; 11 -9 = 2;

y-differences

  12 -10 = 2; 16 -12 = 4;

__

The ratios Δy/Δx are 2/1 = 2 and 4/2 = 2. That is, the points lie on a straight line with slope Δy/Δx = 2.

The y-intercept of the line can be found using the formula ...

  b = y -mx

  b = 10 -2(8) = -6 . . . . for (x, y) = (8, 10)

So, the rule relating x and y is ...

  y = 2x -6

The value of n is ...

  n = 2(14) -6 = 22

The Choir Booster Club had a budget of $1,500 at the start of the school year. They spend $225.30 on t-shirts, $482.25 on lost uniforms, and $135.68 on a holiday party. How much does the booster club have left in their budget?
A. $956.77
B. $856.73
C. $656.77
D. $665.77

Answers

Answer:

$656.77 C

Step-by-step explanation:

$1,500-$225.30-$482.25-$135.68=

$656.77

Answer:

i think the anser is c

Step-by-step explanation:

X-7=8 what is the answer?

Answers

Answer:

15

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

ZE and ZF are vertical angles with mZE = 8x + 8 and mZF = 2x +38.
What is the value of x?

Answers

Answer:

  x = 5

Step-by-step explanation:

Vertical angles are congruent, so ...

  ∠E = ∠F

  8x +8 = 2x +38

  6x = 30 . . . . . . . . . subtract (2x+8)

  x = 5 . . . . . . . . . . . divide by 6

Answer:

Since ZE and ZF are vertical angles, they are congruent.

8x+8 = 2x+38

8 = 2x-8x+38

8 = -6x+38

8-38 = -6x

-30 = -6x

x = -30/-6

x = 5

She brought 10 ounces of spicy popcorn for 2.50 . Which two equations represent this situation .

Answers

Answer: uhh

Step-by-step explanation:

2. trikes

What is the area of the shape ?

Answers

Answer:

The Picture is of a trapezium

Area of Trapezium= 1/2h(L1+L2)

=1/2×7(11+3)

=49

Hence the area of the shape is 49

what is the slope-intercept equation of the line below?

Answers

Answer:

Are A and B the only possible answers u are given?

A radio station gave away 184 tickets to a concert. They gave away 3 times as many tickets to listeners as to employees. How many tickets did they give away to employees?

A.
92 tickets
B.
138 tickets
C.
74 tickets
D.
46 tickets

Answers

Answer:

D

Step-by-step explanation:

total=184 tickets

listeners= x tickets

employees=y tickets

184=x+y

x=3y

plug x into the first equation.

184=3y+y

184=4y

184/4=46

y=46

now plug y into the second equation

x=3(46)

x=138

the listeners got 138 tickets, and the employees got 46 tickets.

What should be avoided when writing a summary? Select the two correct answers.

Answers

Answer:

plagiarizer, and option

Step-by-step explanation:

Answer:

Giving unnecessary details.

Starting a sentence with because

Using run-on sentence.

Step-by-step explanation:

Any of them are technically accurate.

I hope that helped. :)

100 POINTS
Find the area bounded by the curves x = 2y2 and x = 1 – y. Your work must include an integral in one variable.

Answers

Answer:

y^2 = 2x + 6

2x = y^2 - 6

x = 1/2(y^2 - 6)

The points of intersection of the  curves are  calculated:

y + 1 = 1/2( y^2 - 6)

2y + 2 = y^2 - 6

y^2 - 2y - 8 = 0

( y - 4)(y + 2) = 0

y = 4, -2

when y = 4, x = 5 and when y = -2 x = -1.

Integrating between  y = 4 and y = -2

     4

     INT  [ ( y + 1 + 1/2 (6 - y^2) ]dy

     -2

=    4

    {   y^2 / 2 + y + 3y - y^3/6 }

 -2

= 13 1/3 - (-4 2/3)

13 1/3 + 4 2/3

= 18  answer.

Answer:

i think its 18.

Step-by-step explanation:

Please helppp ASAP Content attribution
QUESTION 12 · 1 POINT
5
3m
Find the LCD for 5/m2+9m+20, 3m/m2+11m+28

Answers

Answer:

The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

Step-by-step explanation:

In the algebraic fractions, the LCD is the least common denominator to find it do that:

Factorize each denominatorTake all the factors without repeating factors

Let us do that with our question

∵ The denominator of the first fraction is m² + 9m + 20

→ Factorize it into two factors

∵ 20 = 4 × 5 ⇒ the last term

∵ 4 + 5 = 9 ⇒ the coefficient of the middle term

∴ m² + 9m + 20 = (x + 4)(x = 5)

The factors of m² + 9m + 20 are (x + 4) and (x + 5)

Do the same with the 2nd denominator

∵ The denominator of the second fraction is m² + 11m + 28

→ Factorize it into two factors

∵ 28 = 4 × 7 ⇒ the last term

∵ 4 + 7 = 11 ⇒ the coefficient of the middle term

∴ m² + 11m + 28 = (x + 4)(x + 7)

The factors of m² + 11m + 28 are (x + 4) and (x + 7)

∵ The factors of the two denominators are (x + 4), (x + 5), (x + 4), (x + 7)

→ LCD will be all factors without repeating which means we will

   take the factor (x + 4) just one time, we will not repeat it.

∴ LCD = (x + 4)(x + 5)(x + 7)

The LCD of the two given fraction is (x + 4)(x + 5)(x + 7)

Rewrite as a square or a cube:

3 3/8

Answers

Answer:

The Answer is 3/2 in cube number.

Step-by-step explanation:

3 3/8= 8 × 3 + 3 / 8

= 24 + 3 / 8

= 27 / 8= (3/2)^3

So , the answer is 3/2 in cube number.

Thank you ☺️☺️

Select the correct answer.

Which function is represented by this graph?




A.

f(x) = -|x − 1| + 8

B.

f(x) = -|x − 8| + 1

C.

f(x) = -|x + 8| − 1

D.

f(x) = -|x + 1| − 8

Answers

Answer:

C. They have the same y-intercept and the same end behavior as x approaches ∞

Step-by-step explanation:

Find the value of X for the image below

Geometry

Answers

Answer:

  x = 8

Step-by-step explanation:

The value of x can be found by equating the associated angle with its vertical angle. That vertical angle is the difference between the one marked 18° and the right angle.

  ∠ZJW = ∠HJZ -∠WJZ = 90° -18° = 72°

  ∠GJL ≅ ∠ZJW

  (9x)° = 72°

  x = 72/9 = 8

I don’t understand this. The number line question the first one.

Answers

Answer:

-2 + 5 = 3

Step-by-step explanation:

The arrow represents an addition, you start with -2 and add 5, so you end up at +3.

It’s timed please help

3.2b-4.7b=3b-3.3

What dose b equal

Answers

Answer:

b=0.733333

Step-by-step explanation:

A rental car company charges $25 per day to rent a car and $0.12 for every mile driven. Violet wants to rent a car, knowing that:
She plans to drive 125 miles.
She has at most $150 to spend.

Write and solve an inequality which can be used to determine dd, the number of days Violet can afford to rent while staying within her budget.

Answers

Answer:

The written inequality can be written as 0.12x + 25 <= 150.

Step-by-step explanation:

To solve the inequality you would plug in the 125 miles for x so 0.12(125) + 25 <= 150 0.12(125) would equal 15 so 15 + 25 <= 150 150/40 would equal 3.75 days but you cant have .75 of a day so Violet would have three days max to afford to rent the car while staying in her budget.

Which is a solution to the equation 4.82y = 156.891?
Group of answer choices

y = 161.711

y = 32.55

y = 152.071

y = 756.21462

Answers

y = 32.55

divide 156.891 by 4.82 to isolate the y.

12x - 32 - 2x + 68
None of the answers match

Answers

Answer:

10x=36

Step-by-step explanation:

.. What part of the frontliners are doctors? nurses?​

Answers

Answer:

to me both

Step-by-step explanation:

because the two of them is working in hospital

suppose f(x)=2x-5,g(x)=-3-1,and h(x) =2x2+x-7 calculate f(-7)​

Answers

Answer:

f(-7) = -19

Step-by-step explanation:

Let us solve the problem

f(x) = 2x - 5

∵ g(x) = -3x - 1

∵ h(x) = 2x² + x - 7

→ We need to find f(-7), that means substitute x in f(x) by -7

∵ x in f(x) = -7

∵ f(x) = 2x - 5

∴ f(-7) = 2(-7) - 5

→ Calculate 2 × (-7)

∴ f(-7) = -14 - 5

→ Add them

f(-7) = -19

angle q and angle are a complementary angles. angle s and r are vertical angles. angle q is 38 degrees. what is angle s​

Answers

Step-by-step explanation:

Angles q and r are complementary, so the measure of angle r is 90-38=52 degrees.

Since angles s and r are vertical angles, they are congruent, so angle s measures 52 degrees.

Make a list of 15 numbers that add up to 50.

Answers

Answer:

1,1,1,1,1,1,1,2,2,4,5,6,7,8,9

Step-by-step explanation:

1+1+1+1+1+1+2+2+4+5+6+7+8+9=50

lol this took way too much time

Abir walks four twelfths of a mile to school. Nadia walks two twelfths of a mile to school. How much farther does Abir walk than Nadia?

eight twelfths of a mile

six twelfths of a mile

four twelfths of a mile

two twelfths of a mile

Answers

Answer:

two twelfths of a mile.

Step-by-step explanation:

4/12 - 2/12 = 2/12

Slope worksheet. Please help!!!

Answers

Answer:

1) 1/3

2) -1

3) 5/2

Step-by-step explanation:

rise

_____

run

It’s a mess but you get the point

#1 What is the volume of a cube with a side length of 1/2 cm? -​

Answers

Answer:

Volume of the cube = (1/2)^3 = (1/8) cubic inch

Hope it helps!!!Brainliest pls!!!

WILL GIVE BRAINLY AND 100 POINTS!!!


Don't answer gibberish just for points, I will report you. :D

Answers

Answer:

The amount of water that the girls on the basketball and soccer teams drink during one practice session is recorded in the dot plots.

Select from the drop-down menu to correctly complete the statement.

The median ounces of water drank on the basketball team was about 130 oz less thanResponse area the median ounces of water drank on the soccer team.

Correct answers:

1

45 oz less than

entre los 6 y los 12 años un niño crece, en promedio, 5cm por año. Si a los 6 años Francisco media 0.96 m ¿cuanto medira a los 10½?​

Answers

Answer: 10.50

Explain:

Egg

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