Instructions: In the graph below determine how many real solutions the quadratic function has, and state them, if applicable. List solutions in order from left to right on the graph, or least to greatest. If the function has only one solution, type the solution in both of the boxes. If there are no real solutions type “none” in both boxes.

Instructions: In The Graph Below Determine How Many Real Solutions The Quadratic Function Has, And State

Answers

Answer 1

The quadratic function has two real solutions. The solutions to the function are x= -2 and x= 0

Solutions of a quadratic function

From the question, we are to determine the number of real solutions the quadratic function has.

NOTE:

If the graph of the quadratic function crosses the x-axis at two points then we have two solutions. If the graph touches the x-axis at one point then we have one solution.If the graph does not intersect with the x-axis then the equation has no real solution.

From the given diagram, the graph of the quadratic function crosses the x-axis at two distinct points.

∴ The quadratic function has two real solutions

The solutions of a quadratic function are the points where the graph intersects with the x-axis.

In the given graph, the solutions to the function are x = -2 and x = 0

Hence, the quadratic function has two real solutions. The solutions to the function are x= -2 and x= 0.

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Related Questions

Sandy has built a triangular pool and wants to
add a rectangular deck around it as shown in the
figure. How many square feet of wood does Sandy
need for the deck?

Answers

Step one: Find area of triangular pool, 1/2BH=1/2(20x8)=80ft^2
Step two: Find the area of the rectangle, BH=30x15=450ft^2
Step 3: Subtract the area of the triangular pool from the area of the rectangular deck, 450-80=370ft^2
Sandy will need 370 square feet of wood to build her rectangular deck around her triangular pool.

Which description matches the algebraic expression 45 n?
the sum of a number and 45
the quotient of a number and 45
the product of a number and 45
the difference of a number and 45

Answers

Answer:

The product of a number and 45

Step-by-step explanation:

Answer:

the product of a number and 45

Step-by-step explanation:

i just finished the quiz

Select the expression that is equivalent to the given expression: 3(x + 2) - x




A: 5x + 6

B: 2x + 6

C: 2x + 2

D: 9

Answers

Answer:

B

Step-by-step explanation:

if you simply 3(x+2)-x, you get 2x+6.

it is not 3x+6 because x already equals 1. 2x+6=2x+6

why are asymptotes important in rational function graphs

Answers

Answer:

when sketching the curves of functions.

Step-by-step explanation:

There is a wide range of graph that contain asymptotes and that includes rational functions, hyperbolic functions, tangent curves, and more. Asymptotes are important guides when sketching the curves of functions. This is why it’s important that we know the properties, general forms, and graphs of each of these asymptotes.

Please help i really need this i will give a brainliest to the people that answer correctly


1st options: a positive, a negative, no


2nd options: decreases, increases, varies

Answers

answer is negative and decreases

Answer:

There is a negitve corrilation because as time increases speed decreases

Step-by-step explanation:

Which of the following are based on empirical probability

Answers

The empirical probability is Life insurance, Car insurance, and Mortality.

What is empirical probability?

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Therefore the empirical probability will be Life insurance, Car insurance, and Mortality.

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Noa hopes to pick the winning ticket during her math class’s raffle. The student who picks the ticket with a true statement will win. Which is the winning ticket?

Answers

A correct answer is an option a which is 2x = - 23  

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

We need to select correct statements from the given options.

2 ( x - 6 )  = - 35

2 x - 12 = - 35

2x=-35+12

2x = - 23

Therefore, 2 ( x - 6 )  = - 35  is equivalent to .2x=-23

8(x-7)=35

8x-556=35

8x=91

Therefore, 8(x-7)=35 is not equivalent to 8x=91.

9(x-6)=-35

9x-54=-35

9x=19

Therefore,9(x-6)=-35  is not equivalent to 9x=19.

4(x-5)=35

4x-20=35

4x=55

Therefore,4(x-5)=35  is not equivalent 4x=55 to .

Hence, the correct answer is an option a which is 2x = - 23  

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in baseball Anthony hit 0.63 of the pitches thrown at him what percent of the pitches did Anthony miss

Answers

37%, this is because 1-0.63= 0.37 therefore 0.37 X 100 as it needs to be written as a percentage = 37 %

What are the quotient and remainder of (3x4 - 2x + 7x-4)= (x - 3)?
a. 3x2 + 772 +21x + 70; 206
c. 3x4 + 7%? +21x2 + 70; 206
b. 3x + 77? + 21x + 70; -206
d. 37° +73+ + 21x + 703 76

Answers

The quotient of dividing (3x⁴ - 2x³ + 7x² - 4) by (x - 3) is 3x³ + 7x² + 28x + 84 and the remainder is 248

How to determine the quotient and the remainder?

The division expression is given as:

(3x⁴ - 2x³ + 7x² - 4) / (x - 3)

Set the divisor to 0

x - 3 = 0

Solve for x

x = 3

Substitute x = 3 in 3x⁴ - 2x³ + 7x² - 4

3x⁴ - 2x³ + 7x² - 4 = 3(3)⁴ - 2(3)³ + 7(3)² - 4

Evaluate

3x⁴ - 2x³ + 7x² - 4 = 248

This means that the remainder is 248

Recall that:

Dividend = Divisor * Quotient + Remainder

So, we have:

3x⁴ - 2x³ + 7x² - 4 = x - 3 * Q + 248

Subtract 248 from both sides

3x⁴ - 2x³ + 7x² - 252 = x - 3 * Q

Divide both sides by x - 3

Q = (3x⁴ - 2x³ + 7x² - 252)/(x - 3)

Factorize the numerator

Q = (x - 3)(3x³ + 7x² + 28x + 84)/(x - 3)

Cancel out the common factors

Q = 3x³ + 7x² + 28x + 84

Hence, the quotient is 3x³ + 7x² + 28x + 84 and the remainder is 248

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Pls help me this question is bad

Answers

Answer:

using law of indices

the answer is 1

help does anyone know the answer to this!!! ^_^

Answers

The exponential function which represent the graph shown in image is f(x)=2.(1/4)ˣ. Option C is correct.

What is an exponential function?

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

f(x)=a.bˣ

Here, x is the variable in the power of a number, b is a constant which is known as the change factor and a is the initial value of the function.

Here, in the graph, it passes from the (0,2) and (2,0) from x and y axis. it tells us that the initial value of is 2.

a=2

The graph is plotted on right side in opposite way, which tells the value of b is in the reciprocal. Thus,

b=1/4.

Put the values as,

f(x)=a.bˣ

f(x)=2.(1/4)ˣ

Hence, the exponential function which represent the graph shown in image is f(x)=2.(1/4)ˣ. Option C is correct.

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24. Which point is NOT on the circle with center (-4,3) and radius 6? a. (2,3) b. (2,0) c. (-4,-3) d. (-10,3) ​

Answers

Answer:

Your answer is b. (2,0) is not a point on the circle.

Step-by-step explanation:

Center of the Circle: (h,k) = (-4,3)

Radius of the Circle: r = 6

Find the points on the circle.

(h + r ,k)

(-4 + 6 , 3) = (2,3)

(h - r ,k)

(-4 - 6 , 3) = (-10,3)

(h , k + r)

(-4 , 3 + 6) = (-4,9)

(h , k - r)

(-4 , 3 - 6) = (-4,-3)

if x=3,y=-2(negative 2) and z=6,what is 7xyz

Answers

Answer: -252
Hope this helps!

Step-by-step explanation:

x = 3

y = - 2

z = 6

Question:

[tex]7xyz[/tex]

Solution,

= 7 × 3 ( - 2 ) × 6

= 21 ( - 2 ) × 6

= - 42 × 6

= - 252

hence the answer is - 252....

A survey found that 78% of high school freshmen have Internet access at home. OF the 754 freshman at one high school, about how many would be expected to have Internet access at home?

Answers

Answer:

About 588 students.

Step-by-step explanation:

78% = 0.78

Therefore, we can conclude the following:

78% of 754 = 754 * 0.78 = 588.12

Find the height of the tree below to the nearest foot.

Answers

[tex]\bold{FULL ANSWER:}[/tex]

(USE YOUR CALCULATOR):

These two shapes have the same perimeter.
regular hexagon
square
Not actual size
The length of each side of the hexagon is 8 centimetres.
Calculate the area of the square.
Question

Answers

Answer:  u can use this to practice and u can also find your awnser in thes pic

Step-by-step explanation:

Given f(x) = x^2 – 3x – 2, what is f(5)?

Answers

Answer:

[tex]f(5)=8[/tex]

Step-by-step explanation:

Given function: [tex]f(x)=x^2-3x-2[/tex]

To find [tex]f(5)[/tex], simply input [tex]x=5[/tex] into the function:

[tex]\begin{aligned}\implies f(5) & =5^2-3(5)-2\\& = 25-15-2\\& = 10-2\\& = 8\end{aligned}[/tex]

[tex]\huge\color{white}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]

To find :-

The value of f(5)

Given :-

f(x) = x² - 3x - 2

Solution :-

f(x) = x² - 3x - 2

we will put the value of x as 5

so that to find f(5).

f(5) = (5)² - 3×5 - 2

f(5) = 25 - 15 - 2

f(5) = 8

Result :-

The value of f(5) is 8.

2 2/3 + 1/5

Could Someone Help??

Answers

Answer:

13/15

Step-by-step explanation:

you multiply the numbers by each other like 3×1/5 = 3/15 and 5×2/3 = 10/15

then you add them to get 13/15

helpme pleaseee urgentlyyy

Answers

Given:Diameter= 8ftTo find:

The circumference of the given circle.

Solution:

In order to find the circumference, first we'll have to find the raduis.

[tex]d = 2r[/tex]

[tex] \frac{8}{2} [/tex]

[tex] = 4 \: ft[/tex]

Now, we can work out the volume.

[tex]\huge\boxed{Fomula: C = 2\pi {r}}[/tex]

[tex] c= 2 \times \pi \times 4[/tex]

[tex]c = 25.13274 \: {ft}[/tex]

[tex]\large\boxed{C = 25.13 \: ft\: (2 \: d.p)}[/tex]

Hence, the circumference of the given circle is 25.13 feets.

Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?

Answers

Answer:

w = 23

Step-by-step explanation:

so the total degree of a triangle is 180,

when you add all 3 it should equal 180.

35 + (5w) + (w + 7) = 180

subtract 35 from both sides, 35 - 35 + (5w) + (w + 7) = 180 - 35

(5w) + (w + 7) = 145

combine like terms (add the w's), (5w + w) + 7 = 145

6w + 7 = 145

subtract 7 from both sides, 6w + 7 - 7 = 145 - 7

6w = 138

divided both sides by 6 to get w alone, 6w / 6 = 138 / 6

w = 23

Alex has 64 cubes with dimensions in ft like
1/2 x 1/2 x 1/2
He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps.
What is the volume in cubic ft of the larger rectangular prism?

Answers

the volume is 1283 cubic ft

Use the formula pH = log (1/H*) to find the pH of the substance given its concentration
of hydrogen ions in a liter of acid rain that has a pH. Round your answer to the nearest
ten-thousandth.
10. pH = 3.6

Answers

We can use the subtraction property of logs to expand the right side of the equation:

log(1/H*) = log(1) - log(H*)

No matter what base we’re using, log(1) = 0, so this simplifies to -log(H*). We’re also given a pH value of 3.6, so we can substitute this value into the original equation along with -log(H*) to get

3.6 = -log(H*)

Multiplying by -1 on both sides:

-3.6 = log(H*)

And rewriting in exponential form:

H* = 10^(-3.6) = 0.0003 (rounded to the nearest ten thousandth)

Please help me if i get another answer wrong i will fail pls help.

Answers

Answer:
The second option reading left to right.
3^7 * 1/3^4

Steps:
Write using properties of positive and negative exponents.

You add the exponents. So (7 + -4).
3^3 = 27

We see that is not an option here. Find out which option is equal to 27.

I need this answer asap please

Answers

Answer:283 awnser is 283

Step-by-step explanation:

AXYZ is rotated 180°.
What are the coordinates of point X'?

Answers

Answer:  (4, -1)

Reason:

When rotating a point 180 degrees around the origin, you use the rule

[tex](x,y) \to (-x,-y)[/tex]

We flip the sign of each coordinate from positive to negative or vice versa.

The point X is at the location (-4, 1). Rotating this 180 degrees will get us to X'(4, -1)

747.7 plus a 15% increase

Answers

Answer:

[tex]859.855[/tex]

Step-by-step explanation:

You start with the current amount:

[tex]747.7[/tex]

First calculate [tex]15\%[/tex] of [tex]747.7[/tex]:

[tex]747.7 \cdot 0.15 = 112.155[/tex]

Now add that new value back into the original amount:

[tex]747.7 + 112.155 = 859.855[/tex]

As a trick to speed things up, you can calculate it in one expression:

[tex]747.7 \cdot 1.15 = 859.855[/tex]

2. The bases of the trapezoid (x-14) cm and (x+2) cm. its medien is 30 cm lang, how long is the shorter​

Answers

Answer:

x2-2x=58

Step-by-step explanation:

(x-14)(x+2)=30

x2+2x-14x-28=30

x2+2x-14x=28+30

x2-2x=58

Ten students received their test grades back for Math 171.
80
88
60
52
96
58
66
Find the 5 number summary.

Answers

Answer:

5 number summary hulaan mo hhahah 82 56 92 78 68

If ∠1 and ∠2 are vertical angles and m∠1 = 108°, find m∠2.

Answers

Answer:

[tex]m\angle 2= 108^{\circ}[/tex]

Step-by-step explanation:

Vertical angles are equal.

Answer:

108°

Step-by-step explanation:

vertical angles are angles opposite each other when two lines cross.

if <1 and <2 are vertical angles, it means that m<1 = m<2

m<1= 108°

therefore, m<2= 108°

can someone help me rn?

Answers

Answer:

y = 1

Step-by-step explanation:

Given:

equation of the parabola:  [tex]y=a(x-1)^2+q[/tex]points on the parabola: (-1, -9) and (1, 1)

Substitute point (1, 1) into the given equation of the parabola to find q:

[tex]\begin{aligned}\textsf{At}\:(1,1)\implies a(1-1)^2+q &=1\\a(0)^2+q &=1\\q &=1\end{aligned}[/tex]

Substitute the found value of q and point (-1, -9) into the given equation of the parabola to find a:

[tex]\begin{aligned}\textsf{At}\:(-1,-9)\implies a(-1-1)^2+1 &=-9\\a(-2)^2+1 &=-9\\4a+1 &=-9\\4a &=-10\\a &=-\dfrac{5}{2}\end{aligned}[/tex]

Therefore, the equation of the parabola is:

[tex]y=-\dfrac{5}{2}(x-1)^2+1[/tex]

The maximum or minimum point on a parabola is the vertex.

Vertex form of a parabola: [tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex.

Therefore, the vertex of the parabola is (1, 1) and so the maximum value of y = 1

y=a(x-1)²+q

Vertex at (1,q)

There is a point already given from which parabola passes through its (1,1)

So q=1

Hence

vertex=(1,1)

Equation:-

y=a(x-h)²+ky=a(x-1)²+1

Now put (-1,-9)

-9=a(-2)²+1-9=4a+14a=-10a=-5/2

a is negative hence parabola is opening downwards

So

vertex is maximum

Max value

y=1
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