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.

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

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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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.

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

Answer:

There is a negitve corrilation because as time increases speed decreases

Step-by-step explanation:

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]

The value of f(5)

f(x) = x² - 3x - 2

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

The value of f(5) is 8.

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

Answer:

using law of indices

the answer is 1

Answer:

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

Step-by-step explanation:

Vertical angles are equal.

Answer:

108°

Step-by-step explanation:

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

m<1= 108°

therefore, m<2= 108°

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

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]

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

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

Step-by-step explanation:

The circumference of the given circle.

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.

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

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

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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Answer:

y = 1

Step-by-step explanation:

Given:

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

Vertex at (1,q)

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

Hence

Equation:-

Now put (-1,-9)

a is negative hence parabola is opening downwards

So

vertex is maximum

Max value

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)

Answer:283 awnser is 283

Step-by-step explanation:

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)

(h - r ,k)

(h , k + r)

(h , k - r)

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

Step-by-step explanation:

x = 3

y = - 2

z = 6

[tex]7xyz[/tex]

Solution,

= 7 × 3 ( - 2 ) × 6

= 21 ( - 2 ) × 6

= - 42 × 6

= - 252

hence the answer is - 252....

Answer:

5 number summary hulaan mo hhahah 82 56 92 78 68

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

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