What are the zeros of the quadratic function f(x) = 2x² + 16x - 9?
7
O x = -4 -
-√7
and x = -4 +
+√√2/2
O x=-4- 25
and x = 4 +
-
2
21
0 x = -4-√²/²
and x = -4 +
2
41
Ox=-4-
and x = -4 +
2
|~~
25
2
21
2
41
2

Answer:

A. Another way to write g(h(x)) is (g×h)(x)

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

A function assigns the value of each element of one set to the other specific element of another set.

A function assigns the value of each element of one set to the other specific element of another set.

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In keeping with the remarks, the simple answer is that all polynomials are functions, but not all functions are polynomials. A function is essentially a rule that allocates a codomain value to every domain value.

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The table that correctly identifies the sample of spinning the spinner and then selecting a card is Option A.

A sample is a random element that belongs to a population. Another way to state it is that, it is a set of all the outcomes that are possible from a given set of events.

Table A accurately depicts each potential result. Along the column on the left is where you'll see the card outcomes.

The spinner's output is shown along the top row. The intersection of the left and top results appears in each cell.

For instance, row 1, and column 3 include "red, purple" to show that you received a card with the color "purple" and the color "red" on the spinner.

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Answer:

The point-slope form is y - 8 = 4(x - 2)

Step-by-step explanation:

Given:

the point-slope form is y - y1 = m(x - x1)

Hence the point-slope form is y - 8 = 4(x - 2)

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Answer:

49 seconds

Step-by-step explanation:

42+7=49

Answer:

35 seconds

Step-by-step explanation:

The number of cookies packs needed if the treasurer buys 1 package of brownies bites is 5 packs

15b + 12c = 75

If 1 package of brownies is bought

15b + 12c = 75

15(1) + 12c = 75

15 + 12c = 75

12c = 75 - 15

12c = 60

c = 60/12

c = 5 packs

If 9 packages of brownies are bought

15b + 12c = 75

15(9) + 12c = 75

135 + 12c = 75

12c = 75 - 135

12c = -60

c = -60/12

c = -5 packs

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Answer:

B. $5.20

Step-by-step explanation:

18 decrease 20% =

18 × (1 - 20%) = 18 × (1 - 0.2) = 14.4

14.4 increase 8.25% =

14.4 × (1 + 8.25%) = 14.4 × (1 + 0.0825) = 15.588

15.588/3 = 5.196

Answer:

Vertical angles are always congruent

Step-by-step explanation:

Answer:

Statement

Measure of angle 2 and 3 are a linear pair and

Reason

Definition of linear pair

Step-by-step explanation:

Hook me up with a 5 star and a Thanks :)

Answer:

47.9°

Step-by-step explanation:

complementary angles are two angles that add up to 90° [90 degrees]

so, we can find the complementary angle of 42.1 by finding what angle it needs to add up to 90

we can use subtraction to find this value:

90 - 42.1 = 47.9

So, the complementary angle to the angle 42.1° has a measure of 47.9°

hope this helps, have a lovely day!! :)

You need to know that two angles are complementary when they are equal to 90°. If you want to find the complement of an angle, and you have one of the angle measures, you need to subtract it from 90°. You have an angle measure of 42.1°. This will be the number you subtract.

⇢ 90° - 42.1°

⇢ 47.9

In quadrilateral PQRS, ∠P and ∠S are opposite angles.

Answer:

[tex]\textsf{A)}\quad y=-\sqrt{x}+2[/tex]

Step-by-step explanation:

Parent function:

[tex]y = \sqrt{x}[/tex]

The properties of the parent function are:

From inspection of the graph, as the x-values increase, the y-values decrease. Therefore there has been a reflection in the x-axis.

The y-intercept is now at (0, 2), therefore the function has been translated 2 units up.

Translations

For a > 0

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

Therefore:

Reflected in the x-axis:  [tex]-f(x)=-\sqrt{x}[/tex]

Then translated 2 units up:  [tex]-f(x)+2=-\sqrt{x}+2[/tex]

So the equation that represents the transformed function is:

[tex]y=-\sqrt{x}+2[/tex]

Answer:

max weight truck can hold = 1200 pounds

your weight. 165 pounds

1200 - 165

1035 pounds left

3 pounds --- 1 brick

1035 --- ?

1035 / 3

You can haul 345 bricks in the truck.

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.

From the given information, we have:

The amount of weight a truck can hold is limited to 1200 pounds.

You weigh 165 pounds and each brick weighs 3 pounds.

Number of bricks you can haul, b.

Thus, we can say:

Your weight + (Weight of each brick * Number of bricks)  ≤ Total weight capacity of the truck

165 + (3 * b) ≤ 1200

3b ≤ 1200 - 165

3b ≤ 1035

b ≤ 1035/3

b ≤ 345

Therefore, you can haul 345 bricks in the truck.

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Answer:

The daughter is 14 years old

Step-by-step explanation:

34＋8＝42

42÷3=14

Answer:

y=37 degrees(vertical angles)

x=180-37(linear pair)=143 degrees

z=143 degrees(vertical angles)

Hope it helps!

Answer:

x = 180° - 37° = 143°

y = 37°

z = 180° - 37° = 143°

Answer:

DF

Step-by-step explanation:

Paint a picture in your head reflecting the triangle. Just hold A and flip it so A = E , D = B

Answer :C)It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.

:) hope you have a great day!

Step-by-step explanation:

please mark me as brainlest

Answer:

×=20

Step-by-step explanation:

180-110=70

70+70=140

180-140=40

40÷2=20

Answer:

x = 20°

Step-by-step explanation:

110° and the interior angle of the triangle are a linear pair and sum to 180°

interior angle + 110° = 180° ( subtract 110° from both sides )

interior angle = 70°

the larger triangle is therefore isosceles, 2 base angle are congruent, then

2x = 180° - 140° = 40° ( sum of angles in Δ is 180° )

divide both sides by 2

x = 20°

Step-by-step explanation:

a) 14w + 21

- Factor out 7 from the expression

7 (2w + 3)

b) 27x + 18

- Factor out 9 from the expression

9 (3x + 2)

Hi!

___________________________________________________________

[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]

#1 7(2w+3)

#2 9(3x+2)

[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]

We need to factor these two expressions.

[tex]\twoheadrightarrow\sf 14w+21[/tex] and [tex]\twoheadrightarrow\sf 27x+18[/tex]

For now let's focus on the first expression.

Note that both terms, 14w and 21, have something in common.

In fact, they have 7 in common. So we factor it out by dividing 14w and 21 by 7.

[tex]\twoheadrightarrow\sf14w\div7=2x\\\twoheadrightarrow\sf21\div7=3[/tex]

[tex]\bullet[/tex] Put the terms together, with a plus sign in between since they are positive

[tex]\twoheadrightarrow\sf 2w+3[/tex]

[tex]\bullet[/tex] Put parentheses around 2w+3

[tex]\twoheadrightarrow\sf (2w+3)[/tex]

[tex]\bullet[/tex] Put7 outside the parentheses

[tex]\twoheadrightarrow\sf7(2w+3)[/tex]

[tex]\bullet[/tex] Great job! We factored the expression

__________________________________________________________

This problem can be solved the same way!

This time, both terms have a 9 in common.

[tex]\twoheadrightarrow\sf 27x+18[/tex]

So we divide both terms by 9.

[tex]\twoheadrightarrow\sf 27x\div9=3x\\\twoheadrightarrow\sf18\div9=2[/tex]

[tex]\bullet[/tex] Put the terms together, with a plus sign in between since they're positive

[tex]\twoheadrightarrow\sf 3x+2[/tex]

[tex]\bullet[/tex] Next, put parentheses around 3x+2 and put 9 outside the parentheses

[tex]\twoheadrightarrow\sf 9(3x+2)[/tex]

[tex]\bullet[/tex] Great job! We factored both expressions

--

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]

--

The difference of the fractions as given in the task content is; (4-2x) / (x²-16).

According to the task content, the fractions whose difference is to be evaluated are as indicated below;

[tex] \frac{x}{( {x}^{2 } - 16)} - \frac{3}{x - 4} [/tex]

Hence, the LCM of the denominators of both fractions can be evaluated as;

x -3(x+4)/(x²-16).

(4-2x) / (x²-16)

Hence, the difference of the two fractions is; (4-2x) / (x²-16).

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Answer:

[tex]x=\pm3\sqrt{2}[/tex]

Step-by-step explanation:

1) Add 25 to both sides.

[tex]x^2 = -7 + 25[/tex]

2) Simplify -7 + 25 to 15.

[tex]x^2=18[/tex]

3) Take the square root of both sides.

[tex]x=\pm18[/tex]

4) Simplify [tex]\sqrt{18}[/tex] to [tex]3\sqrt{2}[/tex].

[tex]x=\pm3\sqrt{2}[/tex]

Answer:

x=64

y=54

Step-by-step explanation:

3x+4y=24 4(24-4y\3)+3y=22

x=24-4y/3 96-12y\3+3y=22

x=24-4(54)/3

x=-64 96/3-22=3y/3

y=54

Answer:

x(x - 2)

Step-by-step explanation:

x² - 2x ← factor out x from each term

= x(x - 2)

Answer:

option C.

Step-by-step explanation:

If we calculate average rate of change of a function over a certain interval, we’re computing the average number of units which the function moves up or down, per unit along on the xx-axis. We might alternatively argue that we’re measuring how much change occurs in our function’s value per unit on the xx-axis.

The equation for average rate of change is -

Δx/Δf =

f(x2) - f(x1) / x2 - x1

Answer:

  C  k(x)

Step-by-step explanation:

The average rate of change (m) of a function on an interval is the difference between the function values at the ends of the interval, divided by the interval width:

  [tex]m_{ab}=\dfrac{f(b)-f(a)}{b-a}\qquad\text{average rate of change on interval $[a,b]$}[/tex]

__

Here, the interval of concern is the same for all of the functions. It is [a, b] = [0, 2] so the denominator of this fraction is 2-0 = 2 for all of the functions. That means we can determine the greatest average rate of change by simply looking at the differences f(2) -f(0) for each of the functions.

  A. j(2) -j(0) = 3(1.6²) -3 = 4.68

  B. g(2) -g(0) = 25/2 -8 = 9/2 = 4.5

  C. k(2) -k(0) = 9 -4 = 5 . . . . . . . . . . greatest amount of change

  D. f(2) -f(0) = 1.5(2²) -1.5 = 4.5

The function k(x) has the greatest average rate of change over the interval [0, 2].

132/3 = 44

5/8 / 3 = 5/8 x 1/3 =5/24

answer: 4. 44 5/24 watts

Answer:

[tex]\sf 4. \quad 44\frac{5}{24}\:\:watts[/tex]

Step-by-step explanation:

Given information:

To find the number of watts used per hard drive, divide the total amount of watts by 3.

Convert the mixed number into an improper fraction:

[tex]=\sf 132 \frac{5}{8}[/tex]

[tex]\sf =\dfrac{132 \times 8+5}{8}[/tex]

[tex]\sf =\dfrac{1061}{8}[/tex]

Divide by 3:

[tex]=\sf \dfrac{1061}{8} \div 3[/tex]

[tex]\sf =\dfrac{1061}{8} \times \dfrac{1}{3}[/tex]

[tex]\sf =\dfrac{1061 \times 1}{8 \times 3}[/tex]

[tex]\sf =\dfrac{1061}{24}[/tex]

Convert back into a mixed number:

[tex]\sf =\dfrac{1061}{24}[/tex]

[tex]\sf =\dfrac{1056+5}{24}[/tex]

[tex]\sf =\dfrac{1056}{24}+\dfrac{5}{24}[/tex]

[tex]= \sf 44\frac{5}{24}[/tex]

Therefore, the number of watts used per hard drive is [tex]\sf 44\frac{5}{24}[/tex] watts.

Answer:

36 problems

Step-by-step explanation:

so let's say x = how many problems Marcela was assigned

she completed half of them so the amount of problems left is x/2

She then completed 7 more so now we can subtract 7. We then set this to 11 to solve for x

x/2 - 7 = 11

x/2 = 18

x = 36