Solve the compound inequality and graph the solutions.
-10<2x – 10 <30
The solutions to the compound inequality are

Step-by-step explanation:

They needed a lingua franca to be able to communicate.

The quadratic equation is given by y = -2x² + 4x + 1

The standard form of a quadratic equation is given by:

y = ax² + bx + c

At point (1, 3):

3 = a(1)² + b(1) + c

a + b + c = 3      (1)

At point (2, 1):

1 = a(2)² + b(2) + c

4a + 2b + c = 1      (2)

At point (-2, -15):

-15 = a(-2)² + b(-2) + c

4a - 2b + c = -15      (3)

Solving equations 1, 2 and 3 simultaneously gives:

a = -2, b = 4, c = 1

The quadratic equation is given by y = -2x² + 4x + 1

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Answer:

3x^3

Step-by-step explanation:

First: you multiply the exponents inside the parenthesis with the one outside.

12*1/3=  4

3*1/3=1

you get 81x^(4)/3x

divide everything by 3:  27x^(4)/x

now subtract exponents (when dividing), you get: 27x^3

Now 1/3 is the same thing as cube root, so cube root of 27 is, thus the answer is: 3x^3

The value of y as x tends to 2 is infinity since the curve progresses to infinity at this point that is [tex]\lim_{x \to 2} f(x) = \infty[/tex]

Find the graph attached. From the graph, we can see that the range of the function is the values along the y-axis and is from the minimum point on the curve (y = -2) to infinity

From the graph, we can deduce that the value of y as x tends to 2 is infinity since the curve progresses to infinity at this point.

Therefore we can conclude that [tex]\lim_{x \to 2} f(x) = \infty[/tex]

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8a + b

a=3

b=1

(8×3)+1

=24+1

=25

the answer is d)25

Answer:

MOREEE

Step-by-step explanation:

Answer:

the third answer, y= (1/3) x

Answer:y=(1/3)x

Step-by-step explanation:

Answer:

where does the normal line to the ellipse x2−xy y2=3 at the point (−1,1) intersect the ellipse for the second time?

Step-by-step explanation:

they Juan Carlos y los sigo pliss yyi de bvz

Answer:

Last one

Step-by-step explanation:

17 times 3 is 51

Answer:

is it the first one

Step-by-step explanation:

cause

51 divide by 3 is 17

Answer:

Price of rice per gram =  $ 0.006  per gram or 0.6 cents per gram .

Step-by-step explanation:

Given: David wants to make 10 servings, where each serving has 75 grams of rice.

Total quantity of rice required = 10 x 75 = 750 grams

Overall, David spends 4.50 dollars on rice.

i.e. cost of 750 grams of rice = 4.50 dollars

Price of rice per gram =(cost of 750 grams of rice ) ÷ 750

= (4.50 dollars )  ÷ 750

=  $  0.006  per gram.

Price of rice per gram =  $ 0.006  per gram.

Answer:

0.006

Step-by-step explanation:

Answer:

k=8

Step-by-step explanation:

2k+5=21  (-5 on both sides to get rid of +5)

2k=16      (divide by 2 to get rid of that 2 in front of K)

k=8

Answer:

Subtract 2x from each side, Subtraction Property

Step-by-step explanation:

63 as the product of prime numbers is 3 x 3 x 7.

The highest common factor of 63 and 105 is 21.

Prime numbers are numbers that are only divisible by one and that number. Examples of prime numbers are 5, 7, and 11.

Factors of 63 are: 1, 3, 7, 9, 21, and 63

Prime numbers that are products of 63 = 3 x 3 x 7

The factor of a number is a number that can divide another number without leaving any remainder.

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Answer:

9x+2

Step-by-step explanation:

the inverse of the function is the opposite. 1/9 becomes 9 and negative 2 becomes positive 2

Answer:

first option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{1}{9}[/tex] x - 2 ( add 2 to both sides )

y + 2 = [tex]\frac{1}{9}[/tex] x ( multiply through by 9 to clear the fraction )

9y + 18 = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 9x + 18

Step-by-step explanation:

similar triangles mean that all angles are the same, and the side lengths of one triangle correlate to the corresponding sides of the other triangle by the same factor.

that means that the sides 2 (ED) and x (CB) have the same relation as the 6+4 (AD) and the 6 (AB) sides.

so,

x/2 = 6/(6+4) = 6/10 = 3/5

x = 2 × 3/5 = 6/5 = 1.2

Answer:

b)

Step-by-step explanation:

2x + 2y = 6 ---> y=-1x+3

4x – 6y = 12 ---> y= 4/6x -2

Answer:

I think it is a

Step-by-step explanation:

You have to solve those systems first. In the first option, x would be equal to 3 and y would be 0. Therefore, the intersection is (3; 0)

Answer:

pi

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

first term + second term = 4

tenth term = 19

fifth term + sixth term = ?

Since this is an arithmetic sequence:

first term = a

second term = a+d

tenth term = a+9d

Then we have

[tex]2a+d=4 \\ a+9d=19[/tex]

Upon solving the system of equation we have:

[tex]a=1 \\ d=2[/tex]

Since:

fifth term = a+4d

sixth term = a+5d

The final answer is:

fifth term + sixth term = [tex]2a+9d=2+18=20[/tex]

Answer:

D.

Step-by-step explanation:

pint slope form:

(y-y1)=m(x-x1)

do just olug in the point and the slope into the equation

(y-4)= -8/7 (x-4)

Answer: The answer is X equals 10 2/3.

Explanation: This is a proportion. We see that the right rectangle when turned to the right is proportional to the left rectangle. On the left rectangle, the smaller side is 6 ft, and the larger side is 16 ft. On the right rectangle, the smaller side is 4 ft. 6 ÷ 1.5 = 4, therefore 16 ÷ 1.5 = 10 2/3.

The number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

let

number of hours = h

number of computers = c

number of workers = w

h = k × c / w

where,

k = constant of proportionality

h = 10.25

w = 16

c = 40

h = k × c / w

10.25 = k × 40 / 16

cross product

10.25 × 16 = k × 40

164 = 40k

k = 164/40

k = 4.1

If

c = 68

h = 16.40

h = k × c / w

16.40 = 4.1 × 68 / w

cross product

16.40w = 4.1 × 68

16.40w = 278.8

w = 278.8 / 16.40

w = 17 workers

Therefore, the number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

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Step-by-step explanation:

hope it will help you ....

Answer:10r-54

Step-by-step explanation: you need to distribute following pemdas

Answer:

Exact Form: 309/25

Mixed Form: 12 and 9/25

Step-by-step explanation:

Answer:

2 hours 30 minutes = goal

Saturday = 1 hour 10 minutes

Sunday = 1 hour 15minutes

Total = 2 hours 25 minutes

No he will not meet his goal. He will be short 5 minutes of practice.

Explanatiory:

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

Answer:

ill see im on the yest rn

Step-by-step explanation:

Answer:

25%

hope this helps

Answer:

The answer is t^-1 (r)=120r/120-r

i hope this is right sry if im wrong have a good day :)

The inverse of Janine's equation is [tex]r = \frac{120t}{120-t}[/tex] .

Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).

According to the question

Janine is building a circuit that contains two lightbulbs in parallel.

One of the lightbulbs has a resistance of 120 ohms.

R = 120ohms

r = resistance of the second lightbulb

t = total resistance in the circuit  

[tex]t = \frac{120r}{r+120}[/tex]

Now,

The inverse of Janine's equation in which we will make r independent

[tex]t = \frac{120r}{r+120}[/tex]

[tex]t(r+120) = 120r[/tex]

[tex]tr + 120t = 120r[/tex]

[tex]120t = 120r - tr[/tex]

[tex]120t = r(120-t)[/tex]

[tex]r = \frac{120t}{120-t}[/tex]

Hence, the inverse of Janine's equation is [tex]r = \frac{120t}{120-t}[/tex] .

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