Evaluate the function.
g(x) = 3x2 – 2x + 5
Find f(2)

Answer:

32

Step-by-step explanation:

Given, y varies directly as x. So, y=kx, where k is the constant of proportionality.

Given, x=2, y=4. plug in the values in the equation.

4=k*2

k=4/2

k=2

x=16

y=2*16

y=32

Answer:

Its D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A is wrong lol, trust me.

Answer:

[tex]\displaystyle x/y=\frac{15}{4}[/tex]

Step-by-step explanation:

Division of fractions

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:

[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}[/tex]

We will evaluate x/y when x=9/4 and y=3/5:

[tex]\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}[/tex]

[tex]\displaystyle=\frac{45}{12}[/tex]

Simplifying:

[tex]\displaystyle \boxed{x/y=\frac{15}{4}}[/tex]

Answer:

x = -4/5

Step-by-step explanation:

Solve for x:

(5 x + 4) (8 x - 71) = 0

Split into two equations:

5 x + 4 = 0 or 8 x - 71 = 0

Subtract 4 from both sides:

5 x = -4 or 8 x - 71 = 0

Divide both sides by 5:

x = -4/5 or 8 x - 71 = 0

Add 71 to both sides:

x = -4/5 or 8 x = 71

Divide both sides by 8:

Answer:  x = -4/5 or x = 71/8

Answer:

x - b - 3 < 0

Step-by-step explanation:

o

The inequality that is equivalent to x-b < 3 will be x - b - 3 < 0. The correct option is A.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given inequality is x-b<3. Solve the inequality and match it with the options.

x - b < 3

x - b - 3 < 0

From the options, we can see that the inequality x-b<3 is equivalent to the inequality x - b - 3 < 0.

Therefore, the inequality that is equivalent to x-b < 3 will be x - b - 3 < 0. The correct option is A.

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Answer:

por favor, verifique a explicação

Step-by-step explanation:

Queremos escrever cada um dos números como uma multiplicação de seus fatores; Procedemos da seguinte maneira;

a. 51 = 3 * 17

b. 56 = 2 * 2 * 2 * 7

c. 65 = 5 * 13

d. 77 = 7 * 11

e. 48 = 2 * 2 * 2 * 2 * 3

f. 50 = 2 * 5 * 5

g. 80 = 2 * 2 * 2 * 2 * 5

h. 99 = 3 * 3 * 11

i. 108 = 2 * 2 * 3 * 3 * 3

j. 132 = 2 * 2 * 3 * 11

k. 210 = 2 * 3 * 5 * 7

l. 180 = 2 * 2 * 3 * 3 * 5

m. 234 = 2 * 3 * 3 * 13

Answer:

13 inches

Step-by-step explanation:

To solve this problem we need to figure out the length of each side. Caculate the length of the square poster by finding out the square root. 25 times 25= 625. We know that th dimentions of the poster is 25. 25-12= 13

Answer:

c is the correct answer

Answer: 14 gallons of gasoline.

Step-by-step explanation:

given data:

25(x + 3) = 424

where x is the number of gallon of gasoline needed to purchase.

Solution.

25(x + 3) = 424

first we open the bracket

25x + 75 = 424

collect like terms

25x = 424 – 75

25x = 349

divide both sides by 25

25x/25 = 349/25

x = 13.96

x = 14

mathew needs to get 14 gallons of gasoline.

Answer:

you type 75 words per minute.

Step-by-step explanation:

since there are 60 minutes in an hour, simply divide 4,500 by 60 to get 75. i hope this helps you! good luck and have a great day. :)

See attachment for math work and answer.

Answer:

-8.8x + 5

Step-by-step explanation:

See the attached picture.

Hope this helps!!!

The value of x is 0.57 in the given expression -0.8 x +40 - 8x -35

An expression is combination of variables, numbers and operators.

The given expression is -0.8 x +40 - 8x -35

Minus zero point eight times of x plus forty minus eight times of x minus thirty five

-0.8 x +40 - 8x -35

Add the like terms

-0.8x-8x+40-35

-8.8x+5

Isolate the variable x

-8.8x=-5

Divide both sides by 8.8

x=5/8.8

x=0.57

Hence, the value of x is 0.57 in the given expression -0.8 x +40 - 8x -35

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Answer:

D. false; if a = 1, b = 2, and c = 3, then 1(2 + 3) ≠ 1(2) + 2(3)

Step-by-step explanation:

A is false, because the a is being distributed/ being multiplied to all terms inside the parenthesis, and not the term b.

B is also false. There is no indicated negative signs.

C is also false because 1(1 + 1) is EQUAL to 1(1) + 1(1)

D is true.

Answer:

4x^2−4x−15

Split using the sum and difference of the formula, the simplify

Answer:

23

Step-by-step explanation:

Answer:

3/5 = 21/35

Step-by-step explanation:

if you reduce 21/35 it is 3/5 so it is the same thing

Answer: 37

Step-by-step explanation:

Use A squared plus b squared equals c squared.

1. 35 squared is 1,225.

2. 12 squared is 144.

3. 144 plus 1,225 is 1,369. Now is 1,369 a square number?

Well the square root of 1,369, that's 37.

Answer:

c

Step-by-step explanation:

Answer:the answer is c

Step-by-step explanation:

Answer:1.2

Step-by-step explanation:

Answer:

1.2 Inches, It moves 0.3 inches in 1 hour so if in 1 hour it moves 0.3 and in 2 0.6 and in 3 0.9 so in 4 hours it will move 1.2 inches

Step-by-step explanation:

Answer:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

Answer:

z = 7 - 13i

Step-by-step explanation:

A complex number has the form

z = a + bi ( where a is the real part and bi the imaginary part )

Here a = 7 and bi = - 13i, thus

z = 7 - 13i

Answer:

first u should make your equation: y= -1/5 (x-5) - 3

y= -1/5x +1 -3

y= -1/5 x -2

then u should setting some number like 1 ,2 ..... instead of *x* and when u done this u should dissolve it (now your *y* is came out too) so you have your x,y now

According to the points you get, you put it on the chart and connect it

if you do not understand something, tell me to draw on paper so you can understand better

Answer:

a. -1

Hope this helps!

Answer:

46

Step-by-step explanation:

Answer:

( 4 x − 1 ) ( x − 3 )

Step-by-step explanation:

Factor by grouping.

Answer:

Your answer is: x = 3 , 1/4

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.

Step-by-step explanation:

Hope this helped : )

Answer:

54/35 is a rational number!

Have a great rest of your day!

Answer:

Yes and no

Step-by-step explanation:

The number 54 is a rational number if 54 can be expressed as a ratio, as in Rational. A quotient is the result you get when you divide one number by another number. Although the 54 is good the 35 is not due to it if you had to choose if it was or not you can say yes but it determines the question.