if the sum p(x)=ax^2-3x+b and q(x)=3x^3-12x^2+cx-13 is r(x)=3x^3-8x^2+3x-5,then find the value of a,b and c.​

Answer:

5(2x + 8) = –33 + 53

10x + 40 = –33+53

10x= –33+53–40

10x = –20

x = –20/ 10

x = – 2

I hope I helped you^_^

#1

[tex]\\ \sf\Rrightarrow -2x=-3x+14[/tex]

[tex]\\ \sf\Rrightarrow -2x+3x=14[/tex]

[tex]\\ \sf\Rrightarrow x=14[/tex]

#2

[tex]\\ \sf\Rrightarrow x^2-3y+12[/tex]

[tex]\\ \sf\Rrightarrow 5^2-3(5)+12[/tex]

[tex]\\ \sf\Rrightarrow 25-15+12[/tex]

[tex]\\ \sf\Rrightarrow 10+12[/tex]

[tex]\\ \sf\Rrightarrow 22[/tex]

Answer:

25

Step-by-step explanation:

let x = 36

y =  9

x2 = 100

y2 = y2

y : x :: y2 : x2

We know,

Product of means = Product of extremes

That is,

y(x2) = x(y2)

Substituting the values,

9(100) = 36(y2)

=> 36(y2) = 900

=> y2 = 900/36

=> y2 = 25

so when x = 100, y =25

Hi there!  

»»————-　★　————-««

I believe your answer is:  

15cm²

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Area of a rectangle is:}}\\\\A = l * w\\----------------\\\rightarrow L = 5; w = 3\\\\\rightarrow A = 5 * 3\\\\\rightarrow A = \boxed{15cm^2}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: x= 19/21.

Step-by-step explanation:

We can expand the expression to:

28x - 8x^2 - 35 + 10x -4x + 8x^2 - 4 + 8x = -1

We can then cancel the - 8x^2 and the + 8x^2 and simplify further by adding like terms:

38x - 35 + 4x -4 = -1 --> 42x - 39 = -1

We can then add 39 on both sides:

42x = 38

We can then divide both sides by the GCF (greatest common factor), 2:

21x = 19

We divide both sides by 21:

x = 19/21

Answer:

31/4

= 7.75

So Mark has to average more than 7.75 homeruns per week.

Step-by-step explanation:

Mark me as brainliest.

Answer:

no solution

Step-by-step explanation:

14a – (2a + 9) = (12a - 18)

Distribute the minus sign

14a – 2a - 9 = (12a - 18)

12a -9 = 12a -18

Subtract 12a from each side

12a -9-12a = 12a-18-12a

-9 = -18

This is not a true statement so there is no solution

a. x + 13 = 0

x = -13

x-7= 0

x= 7

b. 2x +3 = 0

2x = -3

x= -3/2 or -1.5

3x -7 = 0

3x = 7

x = 7/3

c. x = 0

or x = 3

these you have to change it into that form first

d. x= 5

or x = 0

e. x= 7

or x = -5

f. x = 1/3 or -5

A function in mathematics is a relation between two sets such that each element of the first set is matched to exactly one of the second set element

The correct option for the maximum velocity of the object is the option;

13 cm/s

The reason for the selection is as follows:

The known parameters of the motion of the vehicle are:

The type motion of the vehicle = Repetitive back and forth

The path of the motion of the object = Along a straight line

The function that gives the velocity in centimeters per second (cm/s) is given as follows;

[tex]v(t) = \mathbf{13 \cdot sin \left(\dfrac{\pi}{45} \cdot t \right)}[/tex]

Where;

t = The time in seconds (a set of the input variables of the function)

v(t) = The velocity of the object (the output variables of the function)

The velocity of the object, v(t), depends (is given by) on the time t, therefore;

The maximum velocity is given at a particular value of t, which together with [tex]\dfrac{\pi}{45}[/tex] is operated by the sine function

The maximum output value of the sine function = 1, therefore;

[tex]\mathbf{Maximum \ value \ of \ sin \left(\dfrac{\pi}{45} \cdot t \right)_{max}} = 1[/tex]

[tex]The \ maximum \ velocity \ v(t)_{max}} = 13 \times sin \left(\dfrac{\pi}{45} \cdot t \right)_{max} = 13 \times 1 = \mathbf{ 13}[/tex]

The units of the of the function is cm/s

Therefore, the maximum velocity of the object is 13 cm/s

Learn more about functions here:

https://brainly.com/question/23999020

Answer: B. 13 cm/s

Step-by-step explanation:

Your answer is in the attachment .

Note: I have only done upto q.n d because you haven't clearly uploaded question of no. e. stay blessed !!!!!!

Answer:

1 1/4 =c

Step-by-step explanation:

4 1/6 = 3 1/3c

Change the mixed numbers to improper numbers

4 1/6 = ( 6*4+1)/6 =25/6

3 1/3 = ( 3*3+1)/3 = 10/3

25/6 = 10/3c

Multiply each side by 3/10

25/6 * 3/10 = 10/3c * 3/10

3/6 * 25/10 = c

1/2 * 5/2 =c

5/4 =c

Change back to a mixed number

1 1/4 =c

Answer:

$159

Step-by-step explanation:

$348-189

=$159

2h – 2h = 28-6 —> 0 = 22

It cannot be solved because 2h -2h equals zero, so there is no h .

Answer:

thequantity in column b is greater

Step-by-step explanation:

7a+b=33......(1)

3a-b=7.........(2)

(1)+(2)

7a+b+3a-b=33+7

10a+b-b=40

10a=40

a=4

in equation (1)

7*4+b=33

28+b=33

b=33-28

b=5

b>a

Answer

7, 1

Step-by-step explanation:

do math

Answer:

3,594

Step-by-step explanation:

It is asking *than* which means subtraction. so simply subtract and you get the answer

not hard!

Answer:

x = 7 would be the correct answer to your question.

I hope this helped! :D

Answer:

slope formula

Step-by-step explanation:

Answer:

64/672/882(986)*866772

Answer:

433

Step-by-step explanation:

433. . . . . . . ............,.. srry it made me write this much to answer

Answer:

Step-by-step explanation:

Employee's salary: $52,000

Months in a year: 12

52000 / 12 = 4,333.333(r)

Closest answer: D

Answer:

{0, 1, -1}

Step-by-step explanation:

2x - 6 = 3x + 1 - x - 7

2x - 6 = 2x - 6

0 gives you -6 = -6

1 gives you -4 = -4

-1 gives you -8 = -8

If 101 is given in base b, then in base 10 you have

[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]

For instance, if b = 2, then

101₂ = 2² + 1 = 5₁₀

If b = 3, then

101₃ = 3² + 1 = 9₁₀

If b = 4, then

101₄ = 4² + 1 = 17₁₀

The answer depends entirely on the base of the given number.

Answer:

k + 8 = y

9x - 17

4(x²-8)

Answer:

Reflection is shown in the graph.

Answer:

Step-by-step explanation:

Solve the equation for n:

The number is 80

Answer:

Number is 40

Step-by-step explanation:

Let the number be n

(n - 20)/2 = 30

(n - 20) = 2 × 30

n = (2 × 30) + 20

n = 60 + 20

n = 80

Answer:

(-3,-4)

Step-by-step explanation:

Answer:

Hope it helped

Step-by-step explanation:

The restricted domain that makes the given function one to one is (-∞,0] or [0.∞) and the inverse function  would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be  f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .

An inverse function or an anti function is defined as a function, which can reverse into another function.

Now the given quadtratic function is,

f(x) = x² + 2

Now vertex of the given quadratic function is (0,2)

Thus the range of the function is [2,∞)

If we restrict the domain of this function to either (-∞,0} or [0.∞), it will become one to one function.

Now the inverse function is given as,

y = x² + 2

Upon interchanging x and y, we get:

x = y² + 2

⇒ y² = x - 2

or, y = ±[tex]\sqrt{x-2}[/tex]

Hence, the inverse function would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be  f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .

Thus, the restricted domain that makes the given function one to one is (-∞,0] or [0.∞) and the inverse function  would be f⁻¹ (x) = [tex]\sqrt{x-2}[/tex] if we restrict the domain of original function to [0.∞) and the inverse function would be  f⁻¹ (x) = -[tex]\sqrt{x-1}[/tex] if we restrict the domain to (-∞,0] .

To learn more about function :

https://brainly.com/question/17210215

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Answer:

A

Step-by-step explanation:

-2x-4>8

-2x>12

-x>6

x<-6

Answer:

[tex]x < - 6[/tex] (first option)

Step-by-step explanation:

[tex] - 2x - 4 > 8[/tex]

[tex] - 2x > 8 + 4[/tex]

[tex] - 2x > 12[/tex]

[tex] = x < - 6[/tex]