Write 3.19×10−2 in standard form.

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:

65°

Step-by-step explanation:

The consecutive interior angles theorem states that if two parallel lines are cut by a transversal line then the resulting pair of consecutive angles formed are supplementary (that is they add up to 180°).

Given that the painting rows are parallel to each other and a painted line (transversal) cut the parallel lines forming consecutive interior angles m∠1 and m∠2. Therefore:

m∠1 + m∠2 = 180°

m∠1 + 115 = 180

m∠1 = 180 - 115

m∠1 = 65°

Answer:

65

Step-by-step explanation:

just did it in edge  2020

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:

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:

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:

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:

D

Step-by-step explanation:

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

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:

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:31

Step-by-step explanation:

k(10)=-3(10)+1

10k=31

k=3.1

3.1(10) =31

Answer:

Did you insert a picture because I cant see one

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: $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:

64x6y12+125x9y3 I think. Hope this helps

Answer:

The answer is D

64x6y12+125x9y3

Step-by-step explanation:

Youre welcome

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:

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:

True

Step-by-step explanation:

Answer:

11. X=76

Step-by-step explanation:

Answer:

the first one is

Excess of rent paid annually over 10% of annual salary Actual HRA received = Rs 84,000 must not be owned by the person claiming the tax

the next one i cant help with

Step-by-step explanation:

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

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:

7

Step-by-step explanation:

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:

DOMAIN: -infinity < x < +infinity

Interval form: (-infinity, +infinity)

RANGE: -infinity < f(x) < +infinity

Interval notation: (-infinity, +infinity)

Step-by-step explanation:

For Domain: Function has no undefined points nor domain constraints.

For Range: The range of polynomials with odd degree is all real numbers.

hope this helps :)

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.

[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:

$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:

answer is c

Step-by-step explanation:

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.

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