MATHEMATICS HIGH SCHOOL

What is the correct classification of 7x2 + 9x + 4? Select one of the options below as your answer:A. monomial B. binomial C. trinomial

Answers

Answer 1

Answer:

Answer:

The correct classification is trinomial.

Step-by-step explanation:

Given the equation

$7x^2+9x+4$

we have to choose the options.

Monomial is an algebraic expression containing one term, binomial with two terms and trinomial with 3 terms.

Now, the given expression

$7x^2+9x+4$

consisting of 3 terms therefore called trinomial.

Hence, the correct classification is trinomial.

Answer 2

Answer: B. binomial

this expression has two terms (whole numbers and a x-term

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Choose the equation below that represents the line passing through the point (-3,-1) with a slope of 4.A) y = 4x - 11 B) y = 4x + 11 C) y = 4x + 7 D) y = 4x - 7
Which is a solution to the equation?(x −2)(x + 5) = 18 x = −10 x = −7 x = −4 x = −2
Use the elimination method to solve the system of equations. Choose the correct ordered pair. 3x - y = -13x + 3y = 27

Mrs. Stephan took her children to pick out pumpkins. Carter picked out a pumpkin priced $20, andIsabelle picked out a pumpkin priced at $13. How much did Mrs. Stephan pay for both pumpkins, including
7% sales tax?

Answers

Answer:

$35.31

Step-by-step explanation:

In this question, we're trying to find the total cost of the pumpkins (including tax).

We know that Carter picked a $20 pumpkin, while Isabelle picked a $13 pumpkin.

We also know that the sales tax is 7%

To get your answer, we would add the prices of the pumpkin and find the tax price to get our final answer.

Find the total cost:

20 + 13 = 33

Since the sales tax is 7%, we would multiply 33 by 1.07:

33 · 1.07 = 35.31

Mrs. Stephan paid $35.31 for the pumpkins and sales tax.

One angle of an isosceles trapezoid has measure 57. What are the measures of the other angles?

Answers

$\alpha =57^o\n \n The \ interior \ angle \ at \ the \ shortest \ base \ is \ equal \ to :\n \n \beta = 180^o - 57^o = 123^o$

In an isosceles trapezoid the two adj angles are equal
& the two opposite angles are equal & the
sum of the interior angles =360
so 57 + 57 = 114
360-114 = 246
the other angles are 246/2 = 123
the measure of the other angles are 57,123 & 123

Solve for x: −3|2x + 6| = −12 A.) x = 1 and x = 5
B.) x = −1 and x = −5
C.) x = −9 and x = 3
D.) No solution

Answers

Since this is an equation involving an absolute value, let 2x + 6 be positive first such that,

-3(2x + 6) = -12
2x + 6 = 4
2x = -2, x = -1
Then, let 2x + 6 be negative,
-3(-2x - 6) = -12
-2x - 6 = 4
-2x = 10 ; x = -5
Thus, the answer to this item is letter B.

$-3|2x + 6| = -12 \n|2x+6|=4\n2|x+3|=4\n|x+3|=2\nx+3 =-2 \vee x+3=2\nx=-5 \vee x=-1$

If arctan(3/5)=K Tan(k)=?

Answers

$arctan(x)=y$

this function is the inverse function of tan...

$arctan(x)=tan^(-1)(x)$

then...

$x=tan(y)$

in this case

$arctan((3)/(5))=K$

$(3)/(5)=tan(K)$

$\boxed{\boxed{tan(K)=(3)/(5)}}$

Answer:

3/5

Step-by-step explanation:

Use the following figure to answer the question. 1 and 5 are _____ angles.

Answers

1 and 5 are supplementary angles since they form a straight line

alternate exterrior angles I believe. They are both exterrior and alternate from each other so i would assume that to be correct.

What is the square root property of:

Answers

The square root property seems to be another name for completing the square

x^2 + 5x + 6 = 0

We move the constant to the other side

x^2 + 5x = -6

We square half the linear coefficient and add that to both sides

x^2 + 5x + (5/2)^2 = -6 + 25/4

Now the left side is a perfect square,

(x + 5/2)^2 = 1/4

Here's the square root property part, we take the square root of both sides, remembering the ±

x + 5/2 = ± 1/2

x = -5/2 ± 1/2

Answer: x = -3 or x=-2

We check by plugging in these values to the original equation, and they work.

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x^2 + 6x = 16

Again we add half the linear coefficient, squared, to both sides

x^2 + 6x + 3^2 = 16 + 9

(x + 3)^2 = 25

Here comes the square root property, taking the square root of both sides:

x + 3 = ±5

x = -3 ± 5

x = 2 or x = -8

Again we check by substitution, and they both work

Answer: x = 2 or x = -8

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