if f(x) = x^3+2x^2-5, then what is f(-3)

Answer:

Correct Choice: Second Option

[tex]\displaystyle x=\frac{5\pm \sqrt{97}}{12}[/tex]

Step-by-step explanation:

Standard Form of Quadratic Function

The standard representation of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

We have the following equation to solve:

[tex]5x = 6x^2 -3[/tex]

Rearranging all the terms to the left side:

[tex]6x^2 -5x- 3=0[/tex]

Comparing with the general form of the quadratic equation: a=6, b=-5, c=-3. Apply the formula:

[tex]\displaystyle x=\frac{-(-5)\pm \sqrt{(-5)^2-4(6)(-3)}}{2(6)}[/tex]

[tex]\displaystyle x=\frac{5\pm \sqrt{25+72}}{12}[/tex]

[tex]\boxed{\displaystyle x=\frac{5\pm \sqrt{97}}{12}}[/tex]

Correct Choice: Second Option

Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did the test in MIddle school and its in the lesson that's where I found it so next time ur stuck on a question look at the lesson then if your stilll stuck ask brainly k?

Answer:

√3 +2 < √2 +3

Step-by-step explanation:

When you calculate √3 +2 it equals 3.732050808

When you calculate √2+3 it equals 4.414213562

4.414213562 is more than 3.732050808

Answer:

every option but the first one

Step-by-step explanation:

5 and 7 are verticals meaning they have the same angle degree

7 and 4 are supplementary angles meaning the sum of them = 180

1 and 7 are corresponding meaning they have the same angle degree

Answer:

I believe she paid $57.50

Step-by-step explanation:

I turned the percent into a decimal (.15) then I multiplied the decimal by 50 and got 57.50.

Answer:

The investment of $40,000 is worth $94,529.80 now

Step-by-step explanation:

Compound Interest

It occurs when the interest is reinvested along with the principal, rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.

To calculate the final amount we use:

[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

The investment is for t=6 1/4 years = 6.25 years with an initial balance of P=40,000 at a rate r=14% = 0.14 compounded quarterly. Since there are 4 quarters per year, then n=4.

Applying the formula:

[tex]{\displaystyle A=40,000\left(1+{\frac {0.14}{4}}\right)^{4*6.25}}[/tex]

[tex]{\displaystyle A=40,000\left(1+0.035\right)^{25}}[/tex]

A=$94,529.80

The investment of $40,000 is worth $94,529.80 now

Answer:

4.5 miles

Step-by-step explanation:

3/2=1.5 . 7-/2 = 35.  35 x 3 = 105 . 1.5 x 3 = 4.5

Answer:

A

Step-by-step explanation:

Think about it.

y = (0)x + b

this gives

y = b

therefore Y equals a single number regardless of the x value.

This behavior is shown in table A.

Answer: $6.75

Step-by-step explanation:

If you subtract the 12.75 dollars from the second week to the 5.75 dollars from the first week, it added $6.75.

sorry if this is incorrect, the question is worded weird

Answer:

answer is c

Step-by-step explanation:

Answer:

Equation: (29x + 12)° + (15x - 8)° = 180°

x = 4

m∠ 5 = 52°

Step-by-step explanation:

Given:

m∠ 1 = 29x + 12,

m∠ 5 = 15x - 8

Since all lines that appear are parallel, therefore, opposite angles of the quadrilateral are congruent.

Therefore, m<1 = m<4 = 29x + 12

m<4 + m<5 = 180° (linear pair)

(29x + 12) + (15x - 8) = 180° (substitution)

The equation above is what we would use in solving for x. Let's solve for x:

29x + 12 + 15x - 8 = 180

Collect like terms

44x + 4 = 180

Subtract 4 from both sides

44x = 180 - 4

44x = 176

Divide both sides by 44

x = 176/44

x = 4

m∠ 5 = 15x - 8

Plug in the value of x

m∠ 5 = 15(4) - 8 = 60 - 8

m∠ 5 = 52°

[tex]6 - 3x = 5x - 10x + 6[/tex]

[tex]6 - x = - 5x + 6[/tex]

[tex]6 + 5x = 6 - 3x[/tex]

[tex]6 = 6 - 3x + 5x[/tex]

[tex]6 = 6 + 2x[/tex]

[tex]2x = 6 - 6[/tex]

[tex]2x = 0[/tex]

Product of two numbers is equal to 0 if at least one of them is 0 . Since 2 is not equal to 0 , x must be equal to 0 .

Which means :-

[tex]x = 0[/tex]

Therefore , the value of x = 0.

Answer:

Step-by-step explanation:

Use PEDMAS  method

P - Parenthesis

E - Exponents

D - Division

M - Multiplication

A- Addition

S -Subtraction

[tex]\frac{1}{4}(15-6) + 3^{3}[/tex] ÷ 12  = [tex]\frac{1}{4}*9+3^{3}[/tex] ÷ 12     {Operation inside parenthesis}

                              [tex]= \frac{1}{4}*9+27[/tex]÷ 12   {Exponents}

                             [tex]= \frac{9}{4} + \frac{27}{12}\\\\\\= \frac{9*3}{4*3} + \frac{27}{12} \\\\\\= \frac{27}{12} + \frac{27}{12}\\\\\\=\frac{27+27}{12}\\\\\\=\frac{54}{12}\\\\=\frac{9}{2}\\\\= 4\frac{1}{2}[/tex]  

Answer:

the answer is c. 4 1/2

Step-by-step explanation:

I guessed c got it right

Answer:

7

Step-by-step explanation:

Wherever we see an x, we just input 4 to find f(4)

f(4) = 2(4) - 1 = 8 - 1 = 7

Hope this helps!!!!!!!

The raise was 5% which is 0.05 as a decimal.

For his new rate his original rate was multiplied by 1.05 ( original + 5%)

To find original amount, divide new amount by 1.05:

252 / 1.05 = 240

His original pay was £240

You can check by multiplying the original pay by 5% and adding:

240 x 0.05 = 12

240 + 12 = 252

Answer:

The standard form is just another way to write this equation, and is defined as Ax + By = C, where A, B, and C are real numbers, and A and B are both not zero (see note below about other requirements). As you will see in the lesson below, every line can be expressed in this form.

The "Standard Form" of an equation is: (some expression) = 0 In other words, "= 0" is on the right, and everything else is on the left. Example: Put x 2 = 7 into Standard Form

Step-by-step explanation:

sorry look up example image for standard form

Answer:

$130

Step-by-step explanation:

If theres 52 weeks in a year and if you make 5 every 2 weeks you divide 52 and 26 and multiply it by 5.

Answer:

$130 per year

Step-by-step explanation:

52 weeks in a year (typically)

so 52/2= 26

5 * 26 = 130

$130 per year

Answer:

x=-1

Step-by-step explanation:

You add like terms until you get your equation.

Answer:

x = -1

Explanation:

3(-1) - 10(-1) + 5 = 5(-1) + 17

-3 + 10 + 5 = -5 + 17

(add first before subtracting!)

12 = 12

So, the first answer, x = -1, is the correct answer.

Please mark me Brainliest! I need it to move onto the next level.

Answer:

The correct answer is the third one

plz mark me brainsliest!!!!!

Answer:

7

Step-by-step explanation:

Answer: D. 92

Step-by-step explanation: (x+1)+(x-3)=180

2x-2=180

2x=182

X=91

(91)+1= 92

Vertical angles are equal than by the transitive property y is also equal to 92

Answer:

92

Step-by-step explanation:

Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.

-I got the question right on the test

Hope this helps!

Answer:

D

Step-by-step explanation:

[tex]\sqrt{x}[/tex] only takes positive inputs and only outputs positive integers

Answer:

Yes, 10227 is a rational number

Step-by-step explanation:

10227 is whole number, an integer, a counting number. For a number to be rational it has to be a integer, a counting number, a whole number, a fraction, and a terminating decimal. A decimal that repeats like 3.3333 is also rational because it can be predicted. Pi or 3.14 is not predictable

Answer:

n²+7n=n(7+n)

Step-by-step explanation:

Using the distributive property on the right side of the equation will make both sides of the equality equal.

Answer:

0.5, 3/5, 0.78

Step-by-step explanation:

Answer:

0.5, [tex]\frac {3}{5}[/tex], 0.78

Step-by-step explanation:

0.5= 50%

[tex]\frac {3}{5}[/tex]=60%

0.78=78%

Answer:

1/2

hope this helps*

Step-by-step explanation:

divide the fraction by 8

Answer:

thats the answer:

3805.34

Step-by-step explanation:

Answer:

3805.34

Step-by-step explanation:

Multiply by order form the right to the left and then add the final numbers to find the answer.