f(x) = -x squared + 2x + 8
guys i’m gonna fail math

F(x) = -x Squared + 2x + 8guys Im Gonna Fail Math

Answers

Answer 1

Final answers:

Vertex: (1,9)Domain: all real numbers, or (-infinity, infinity)Range: (-infinity, 9]Maximum: 9; there is no minimumy-intercept: (0,8)Interval of increase: (-infinity, 1)Interval of decrease: (1, infinity)Average rate of change: 3 or -3

Explanations

Vertex: this is the maximum or minimum point on the graph, which is (1,9).Domain: this is everywhere that the function is defined. Since there are no values of x for which -x^2 + 2x + 8 is not defined, the domain is all real numbers, or [tex](-\infty, \infty)[/tex].Range: this is all y-values the function takes. We can see from the graph that the function takes on all values less than or equal to 9, so the range is (-infinity, 9].Maximum or minimum: the maximum value is 9. There is no minimum value.y-intercept: this is the point where the graph intersects the y-axis, which is (0,8) or simply 8. You can think of this as the value of f(x) when x is zero.Interval of increase: f(x) is increasing on (-infinity, 1).Interval of decrease: f(x) is decreasing on (1, infinity).Average rate of change: the question is asking us to find the slope between the vertex and one of the x-intercepts – I will use (-2,0). The vertex is (1,9). The average rate of change is the slope between these points, which is (9-0)/(1-(-2)), or 3. If you instead used the x-intercept of (4,0), you would get an answer of -3.

Related Questions

heres the triangle sorry i couldn’t add it threw the comments

Answers

Answer:

Step-by-step explanation:

Are we suppose to solve for something or what there are no instructions

Solve the following equation: 3 x squared = negative 12 a. x = 2 b. x = negative 2 c. No real solutions d. x = plus-or-minus 2

Answers

No real solution trust me

The value of solution of the equation is,

⇒ No real solution

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3x² = - 12

Now, We can simplify as;

⇒ 3x² = - 12

Divide by 3;

⇒ x² = - 12/3

⇒ x² = - 4

⇒ x = √- 4

⇒ x = 2i

Thus, The value of solution of the equation is,

⇒ No real solution

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In a sale the original prices are reduced by 20%.
Calculate the original price of a truck that has a sale price of $14400.​

Answers

Answer:

17260

Step-by-step explanation:

multiply 14400 by 20%

After that add 14400 and 2880together

and you got the answer

Answer:

The original price would be $17,280

Step-by-step explanation:

14,400× 0.2= 2,880

14,400+ 2,880= 17,280

Find the volume of a pyramid with a square base, where the area of the base is
11.1
in
2
11.1 in
2
and the height of the pyramid is
15.3
in
15.3 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

V = 628.4

Step-by-step explanation:

The formula for finding the volume of a square pyramid is V = [tex]a^2 \frac{h}{3}[/tex].

a = base

h = height

V = [tex]11.1^2 (\frac{15.3}{3})[/tex].

V = 628.371

V = 628.4

Answer:

56.6

Step-by-step explanation:

16. The list below shows the different choices of pizza at
the local pizza shop:
.
.
pepperoni: 11
supreme: 7
cheese: 6
Hawaiian: 3
Based on these results, if 189 pizzas were sold, then how
many could be expected to be cheese?

Answers

Answer:

162

Step-by-step explanation:

189-11=178

178-7=171

171-6=165

165-3=162

If p(x) = x 3 + x 2+ root 5 x + root 5 , then find p( – 5 )

Answers

Answer:

-100-4√5

Step-by-step explanation:

Given the polynomial expression

p(x) = x³+x²+√5x + √5

p(-5) = (-5)³+(-5)² + √5(-5) + √5

p(-5) = -125 + 25 -5√5 + √5

p(-5) = -100-4√5

This gives the required answer

Is 21 3/7 a rational or an irrational number?​

Answers

Answer:

Rational

Step-by-step explanation:

This number is rational because it can be expressed as a ratio between two numbers.

How would you find the area of this parallelogram? Describe your strategy.

Answers

Answer:

To find the area of a parallelogram, multiply the base by the height.

The formula is: A = B x H where B is the base, H is the height.

Step-by-step explanation:

29
Problem 3
Which ordered pair does not represent a point on the
graph of y = 3x2 – x+7?
A- (-1.5,15.25)
B( 0.5,7.25)
C- (1.25,10.25)
D- (2.5,23.25)

Answers

Answer: C (1.25, 10.25)

Step-by-step explanation:

The ordered pair does not represent a point on the graph of y = 3x2 – x+7 is (1.25,10.25) .

What is substitution method?

The substitution method is a simple way to solve a system of linear equations algebraically and find the solutions of the variables. As the name suggests, it involves finding the value of x-variable in terms of y-variable from the first equation and then substituting or replacing the value of x-variable in the second equation.

According to the question

y = 3[tex]x^{2}[/tex] – x+7

ordered pair does not represent a point on the graph

For this we will use substitution method and substitute value of x and check whether it satisfy y or not , form options

Option A:  (-1.5,15.25)

x = -1.5

y = 15.25

substituting the value of x in equation

y = 3[tex]x^{2}[/tex] – x+7

y = 3[tex](-1.5)^{2}[/tex] + 1.5 + 7

y = 15.25

This is a point on graph as it satisfy the condition

Option B: (0.5,7.25)

x = 0.5

y = 7.25

substituting the value of x in equation

y = 3[tex]x^{2}[/tex] – x+7

y= 3[tex](0.5)^{2}[/tex]- 0.5 + 7

y = 7.25

This is a point on graph as it satisfy the condition

Option C:   (1.25,10.25)

x = 1.25

y = 10.25

y = 3[tex]x^{2}[/tex] – x+7

substituting the value of x in equation

y = 3[tex](1.25)^{2}[/tex] - 1.25 + 7

y = 10.4375

This is not a point on graph as it does not satisfy the condition

Option D:(2.5,23.25)

x = 2.5

y = 23.25

y = 3[tex]x^{2}[/tex] – x+7

substituting the value of x in equation

y = 3[tex](2.5)^{2}[/tex] - 2.5 + 7

y = 23.25

This is a point on graph as it satisfy the condition

Hence, the ordered pair does not represent a point on the graph of y = 3x2 – x+7 is (1.25,10.25) .

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will mark brainliest
Consider the sequence 3/4, 4/5, 5/6, 6/7...

Which statement describes the sequence?
The sequence diverges.
The sequence converges to 1.
The sequence converges to ∞.
The sequence converges to –∞.

Answers

Answer:

Step-by-step explanation:

Notice that each new term is closer to +1 than was the previous term.  We can conclude tat the sequence converges to 1.

What is the quotient?

Answers

The answer is 3 1/(t + 4)^2

Question 8
Over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. Scientists predict that the
water level will continue to go down for the next 5 years at a rate of 0.4 feet per year. What rational number
represents the overall change of the water level after 7.5 years?
А
-2.75 feet
B
0.1 foot
..ll Ezekiel Porter
С
-0.7 foot
D
2.75 feet
©2021 Illuminate Education Inc.

Answers

Answer:

b answer is correct answer

a. 96°
b. 132°
c. 137°
d. 89°

Answers

Answer:

c. 137°

Step-by-step explanation:

If you place a 32-foot ladder against the top of a building and the bottom of the ladder is 24 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

Answer: 21.2

Step-by-step explanation:

Answer: 22.2

Step-by-step explanation: the other person miss typed

Can somebody help me with the geometry equation.

Answers

Answer:

[tex]m\widehat{VU}=120^{\circ}[/tex]

Step-by-step explanation:

The angle [tex]\angle TUV[/tex] forms arc [tex]\widehat{TV}[/tex]. The measure of this arc is twice the measure of angle [tex]\angle TUV[/tex], since [tex]U[/tex] is a point on the circle. Since [tex]\overline{TU}[/tex] forms an arc [tex]\widehat{TU}[/tex], we can set up the following equation:

[tex]\widehat{TV}+\widehat{VU}=\widehat{TU}[/tex].

Since arc TU represents half of a circle and there are 360 degrees in a circle, we can substitute the following values and solve for the measure of arc VU:

[tex]\\2\cdot 30^{\circ}+\widehat{VU}=180^{\circ},\\60^{\circ}+\widehat{VU}=180^{\circ},\\m\widehat{VU}=\boxed{120^{\circ}}[/tex]

!!HELP PLEASE NO LINKS!!Select the graph of y = 2 cos (4x) +1

Answers

I think the answer is A

To solve this problem, we simply need to plot the cosine graph.

Graph of Cosine

The graph of cosine can easily be plotted and we can compare both together.

Kindly check the attached image and we can easily see the graph of

[tex]y = 2cos(4x) + 1[/tex]

is option A.

Comparing the asymptotes together, it reveals more information on that.

Learn more on graph of cosine here;

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what is the ratio of 150 and 175

Answers

answer 6:7

explanation:

How many 1/2 inch cubes can fit in a rectangular prisim with length of 2 height of 3/2 and width of 1.

Answers

Answer:

[tex]X=6[/tex]

Step-by-step explanation:

From the question we are told that

Length [tex]l=2[/tex]

Height [tex]h=3/2[/tex]

Width [tex]w=1[/tex]

Generally the equation for Volume of the Rectangular prism is mathematically given by

 [tex]v=l*h*w[/tex]

 [tex]v=2*\frac{3}{2}*1[/tex]

 [tex]v=3m^3[/tex]

Therefore the number of half 1/2 inch cube X in v is

 [tex]X=\frac{v}{1/2}[/tex]

 [tex]X=6[/tex]

Find the length of the third side. If necessary, write in simplest radical
form.
472
9

Answers

Answer:

7

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let the third side be x , then

x² + (4[tex]\sqrt{2}[/tex] )² = 9²

x² + 32 = 81 ( subtract 32 from both sides )

x² = 49 ( take the square root of both sides )

x = [tex]\sqrt{49}[/tex] = 7

Then the third side is 7

can yall help me plz
20 pt

Answers

Answer:

t=0.45n

Step-by-step explanation:

1.8/4=4.5

6.75/4=4.5

t=0.45n

If this helps please mark as brainliest

which statement is true

Answers

C is the true statement :)

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 20 10. 5

Answers

Given:

Consider the given terms of the sequence are:

20, 10, 5, ...

To find:

The type of sequence (arithmetic or geometric) and the common difference / ratio in simplest form.

Solution:

We have,

20, 10, 5, ...

Difference between consecutive terms are:

[tex]10-20=-10[/tex]

[tex]5-10=-5[/tex]

Since [tex]-10\neq -5[/tex], therefore the given sequence has no common difference, it means the given sequence is not arithmetic.

Ratio between consecutive terms are:

[tex]\dfrac{10}{20}=\dfrac{1}{2}[/tex]

[tex]\dfrac{5}{10}=\dfrac{1}{2}[/tex]

The given sequence has a common ratio [tex]\dfrac{1}{2}[/tex], it means the given sequence is a geometric sequence.

Therefore, the given sequence is a geometric sequence with common ratio [tex]\dfrac{1}{2}[/tex] it is also written as 0.5.

heeeeeeeeeeeelllllllllllllllppppppppppppppppppppppp

Answers

Answer:

Equation: 25.50x ≤ 200

7 video games

Step-by-step explanation:

25.50x ≤ 200

S would be the number of video games

25.50x ≤ 200           Divide both sides by 25.50 to isolate x

x ≤ 7.8...                    

Since he can't buy a fraction of a game, round 7.8 down to get 7 video games

Solve 1. 1
- x -
2 3​

Answers

Answer:

give the question properly I will answer then

find the equation of a line through (3,5) that is parallel to y = 4x - 8

Answers

That’s what I got above is correct

NEED HELP ASAP 50 POINTS 20 MINS LEFT

Answers

Answer:

look at the picture I have sent

A, B & C lie on a straight line.
D, C & E lie on a different straight line.
Angle
y
= 96° and angle
z
= 52°.
Work out
x

Answers

Answer:

x = 136°

Step-by-step explanation:

We can use a theorem to help us.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

For exterior angle x, the remote interior angles are z and <CBD.

From the theorem, we get this equation.

x = z + m<CBD

We know z = 52°.

We need to find m<CBD.

Angles CBD and y are a linear pair. They are supplementary, so the sum of their measures is 180°. We are given y = 96°.

m<CBD + y = 180°

m<CBD + 96° = 180°

m<CBD = 84°

x = z + m<CBD

x = 52° + 84°

x = 136°

Answer:

x = 136°

Step-by-step explanation:

∠ABD = y = 96°, ∠ABD + ∠DBC must be equal to 180° because they form a straight angle.

[tex]y + B = 180\\96 + B = 180\\B = 180 - 96 = 84[/tex]

∠BDC = z = 52° and ∠DBC = B = 84.

Angles ∠BDC, ∠DBC, and ∠BCD must have a sum of 180° because the sum of the interior angles in a triangle is 180°.

[tex]180=(180 - y) + 52 + C\\180=(180 - 96) + 52 + C\\180 - (52 + 84) = C\\C = 44[/tex]

The interior angle at C is 44. Line DCE forms a straight line, therefore having an angle of 180°. To find x, the sum of x and interior angle C is 180°.

[tex]180 = C + x\\180 = 44 + x\\x = 180-44\\x = 136\\[/tex]

Angle ∠BCE = x = 136.

Select the correct answer.
Which equation is equivalent to the formula below?
y = a (x -h )2 + k

Answers

the answer is c sorry if i am wrong

I need the answers plss

Answers

Answer:

a) adjacent angles, complementary angles

b) vertical angles, congruent angles

c) supplementary angles, adjacent angles

d) supplementary angles, adjacent angles

Step-by-step explanation:

Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )

Complementary angles are angles that form a 90 degree angle  (  right angle )

Supplementary angles are angles that form a straight line

Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )

HALPPPPPPP!!!!!!!!!!!! PLSSSS

Answers

Answer:

The equation is y = x(x-12)

Vertex form

is y = a(x-6)^2 + 4

where a is -1/9

Step-by-step explanation:

For the general equation, we have the roots at x = 0 or x = 12

so we have x and x -12

So we have the equation as;

y = (x-0)(x-12)

y = x(x-12)

y = x^2 - 12x

The vertex form equation of a quadratic equation is;

y = a(x-h)^2 + k

where (h,k) represents the vertex which we have above as (6,4)

So while substituting 6 for h, we have 4 for k

So we have it that;

y = a(x-6)^2 + 4

Substituting 0 for x and 0 for y, we have it that;

0= a(0-6)^2 + 4

0 = 36a + 4

-4 = 36a

a = -4/36

a = -1/9

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