Consider the function y=x^2+5x-2 . What would happen to the graph if (x -1) was substituted in place of the x?

Answer: 35/24 is the answer for the first part only.

Use calculator soup on google search to answer the rest.

Step-by-step explanation:

Answer:

there ARE NO AXES

Step-by-step explanation:

Hey there! :)

Answer:

Choice B.

Step-by-step explanation:

Since h(x) equals (g o f)(x):

f(x) is substituted for x in the equation g(x). We can go through the answer choices and choose the most suitable choice by substitution:

A. f(x) = x, g(x) = x/ x + 1

(g o f)(x) = x / x + 1. This is incorrect.

B. f(x) = x², g(x) = x / x + 1

(g o f)(x) = x² / x² + 1. This matches h(x), so this is correct.

C. f(x) = x + 1, g(x) = 1/x²

(g o f)(x) = 1/(x² + 2x + 1). This is incorrect.

D. f(x) = x + 1, g(x) = x²

(g o f)(x) = x² + 2x + 1. This is incorrect.

Therefore, B is the correct answer.

Answer: C

Step-by-step explanation: With inverse equations, you switch y and x (y=f(x)) and undo/reverse the steps towards x.

1. Multiply by 3

2. Add 2

Equation by itself

0. x

1. 3(x)

2. 3(x+2)

The inverse of the given function is f⁻¹(x) = 3(x + 2).

The inverse function of a function f(x) in mathematics is a function that reverses the operation of f(x).

The given function in the question:

f(x) = (x/3) - 2

f(x) + 2 = x/3

x + 2 = f⁻¹(x)/3

f⁻¹(x) = 3(x + 2)

Hence, the inverse of the given function is f⁻¹(x) = 3(x + 2).

Learn more about inverse on:

https://brainly.com/question/3831584

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Answer:

WHAT

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Hello

The point (2,1) is on he graph of g

which means that g(2)=1

for A g(2)=2*4=8

for B g(2)=1/(2*2)

for C g(2)=1

for D g(2) =4/2=2

for the correct answer is C

Hope this helps

Answer:

1 zero:  Answer C

Step-by-step explanation:

Keep in mind that the polynomial value is zero at any root.  Therefore each point that is a root must lie precisely on the x-axis (where y = 0).  In the graph given there is only one such point  (Answer C)

Answer:

A

Step-by-step explanation:

Using the recursive formula with a₁ = 5 , then

a₂ = 2a₁ - 7 = 2(5) - 7 = 10 - 7 = 3

a₃ = 2a₂ - 7 = 2(3) - 7 = 6 - 7 = - 1

a₄ = 2a₃ - 7 = 2(- 1) - 7 = - 2 - 7 = - 9 → A

Answer:

A. Interquartile

Step-by-step explanation:

Answer:

A: interquartile range

Step-by-step explanation:

edg2020

Hey there! :)

Answer:

m∠θ = 69°.

Step-by-step explanation:

If sin (21°) = 0.36 and cos θ = 0.36, the two angles are complementary because the sine and cosine values are equivalent. Therefore:

90 - 21 = 69°.

The correct answer is D) m∠θ = 69°.

Answer:

Picture of the problem please?

Step-by-step explanation:

Answer:

5/3

Step-by-step explanation:

it should be y/x

you can count 5 up and 3 over

Answer:

8/5

Step-by-step explanation:

You can use the formula [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex] with a pair of points [tex](x_{1},y_{1})[/tex][tex](x_{2},y_{2})[/tex]. We can use points (1,4) and (-4,-4). Plugging in the equation we get (4-(-4))/(1-(-4)), which simplifies to 8/5, which is the slope.

Answer:

(a) Local Maximum (x,y) = (0,12)

    Local Minimum (x,y) = (-9,6) (smaller x-value)

    Local Minimum (x,y) = (6,3) (Larger x-value)

(b) Increasing = [tex](-9,0)\cup (6,\infty)[/tex]

    Decreasing = [tex](\infty,-9)\cup (0,6)[/tex]

Step-by-step explanation:

(a)

Local Maximum: The function gives maximum value in small neighborhood.

From the given graph it is clear that the maximum value of the function is 12 at x=0. So,

Local Maximum (x,y) = (0,12)

Local Minimum: The function gives minimum value in small neighborhood.

It is clear that the minimum value of the function is -6 and 3 at x=-9 and x=6. So,

Local Minimum (x,y) = (-9,6) (smaller x-value)

Local Minimum (x,y) = (6,3) (Larger x-value)

(b)

The function is increasing on -9<x<0 and after 6.

Increasing = [tex](-9,0)\cup (6,\infty)[/tex]

The function is decreasing on 0<x<6 and before -9.

Decreasing = [tex](\infty,-9)\cup (0,6)[/tex]

Answer:

1. -0.66666666666667

2. -1

3. 1.333

4. 1.5

Answer:

90

Step-by-step explanation:

-((-7) + 4 × (-12) + (-3) × 11 + (-2))

-(-7 + 4 × (-12) + (-3) × 11 + (-2))

-(-7 - 48 - 33 - 2)

-(-90) → 90

Final Answer - 90

Hope this helped! :)

Answer:

90

Step-by-step explanation:

Recall Order of Operations rules that require that computations inside parentheses must be done first.  Next, multiplication be done before addition or subtraction.  

-((-7) +(4)(-12)+(-3)(11)+(-2))  can be re-written as

-            ((-7) +(4)(-12)+(-3)(11)+(-2)), which in turn becomes:

-( -7 - 48 - 33 - 2 ), or

-( -55 - 35), or

- (-90), or 90

Answer:

The expressions are not equivalent.

Step-by-step explanation:

The answers would be 196 and 193 for t = 8

The answers would be 76  and 73 for t = 3

Answer:

840 female students

Step-by-step explanation:

The total percentage of students is 100%, so, the percentage of female  students = 100% - 47.5%

=52.5%

Multiply the total no. of students by the percentage to get the no. of female students.

1600 x 52.5%

= 840 female students

You can also obtain the same answer by first multiplying the male percentage to find the no. of male students, then subtracting it from the total 1600.

Answer:

The last one

Step-by-step explanation:

The zeros of a function f(x) are the values of x such that f(x)=0. Since the coordinate y equals f(x), we must look for the values where y=0 (x-intersect).

Since f(x) is factorized, f(x)=0 only when one of its factors equals zero.

So we have

f(x) = 0 ===> x+2 = 0 OR x+1 = 0 OR x+4 = 0

and we have

x = -2 or x = -1 or x = -4

Hence the function must intersect the x-axis at these points.

The only graph that matches the requirements is the last one.

If I'm wrong I'm so sorry!

If I'm right Thank you and (Brainliest plz)

Answer:

B) 2775.9

Step-by-step explanation:

The missing options are:

A) 578

B) 2775.9

C) 134.591

D) 31.757

The digit 5 is in the tenths in 4.59. This means that its value is 0.5. A value 10 times greater is 10*0.5 = 5, that is, a 5 in the ones, like in 2775.9.

Answer:

$7

Step-by-step explanation:

So since he gets $28 in one month and there are 4 weeks in a month, -->

28/4 = 7 so, $7

Answer:

[tex]\boxed{OptionA}[/tex]

Step-by-step explanation:

More than always indicates "ADDITION". So the mathematical operation is "+".

Answer:

A. +

Step-by-step explanation:

The key word in the phrase is "more than"

That signifies an increase of value which is addition's main function

If the number that was represented in the phrase is x, then we could write out an equation

x=q+15

Answer:

Pythagorean Theorem: a² + b² = c² should be used.

Step-by-step explanation:

51² + b² = 60²

b² = 60² - 51²

b = 3√111

b = 31.607

Pythagorean Theorem is used to find any missing side of a right triangle if 2 other sides are present.

Answer:

Pythagoras theorem

EXPLANATION

HYPOTHENUS SQUARE =OPPOSITE SQUARE + ADJACENT SQUARE

i.e 60^2= 51^2+x^2

i.e 3600=2601+x^2

collecting like terms we have

3600-2601=x^2

999=x^2

√999=x

x=31.6

Answer:

Step-by-step explanation:

We khow that the equation of a circle is written this way :

(x-a)²+(y-b)²=r² where (x,y) are the coordinates of the cercle's points and (a,b) the coordinates of the cercle's center and r the radius .

Our task is to khow the values of a and b :

Answer:

8x+8=7x

Step-by-step explanation:

The variable is supposed as x where ever the exact number is not mentioned.

n*8 + 8 = n*7 --> the answer must be n = -8 because:

8n + 8 = 7n

8n - 8n + 8 = 7n - 8n

8 = -1n

-8 = n

Answer:

[tex]\alpha=1-0.98 =0.02[/tex]

And [tex]\alpha/2 0.01[/tex], the degrees of freedom are given by:

[tex] df= n-1= 25-1=14[/tex]

Then the critical value using the t distribution with 24 degrees of freedom is:

[tex] t_{\alpha/2}= \pm 2.492[/tex]

And the best solution would be:

0 -2.492

Step-by-step explanation:

For this problem we know that the sample size is n = 25. The confidence level is 98% or 0.98 then the significance would be:

[tex]\alpha=1-0.98 =0.02[/tex]

And [tex]\alpha/2 0.01[/tex], the degrees of freedom are given by:

[tex] df= n-1= 25-1=14[/tex]

Then the critical value using the t distribution with 24 degrees of freedom is:

[tex] t_{\alpha/2}= \pm 2.492[/tex]

And the best solution would be:

0 -2.492

Answer:

m=2

Step-by-step explanation:

When you put a number into the inverse of a function (f^-1) you get the original number back.

Ex: f^-1(11) = (11-3)/2 = 4

f(4) = 2×4+3 = 11

So, f(-5)=-2

So, when x is -5,

f(x) = -2

f(x)=m(-5)+8

-2=m(-5) + 8

m=2

Answer:

The number of subsets of a set containing 10 elements is 2^10=1024.

Step-by-step explanation:

Answer:

7x+10 cm

Step-by-step explanation:

To find the perimeter add up all the sides

There are 5 sides

3x+ 5+ 2x+2x+5

Combine like terms

3x+2x+2x   +5+5

7x + 10

The perimeter is 7x+10 cm

Answer:

The number of non-congruent triangles that can be formed by connecting 3 of the vertices of the cube is 3 non-congruent triangles

Step-by-step explanation:

From the three dimensional shape of a cube, triangles can be constructed from;

1) 6 side faces

2) 4 front face to opposite vertices triangles

3) 4 rear face to opposite vertices triangles

Each face can produce ₄C₃ = 4 triangles

Therefore;

The total number of triangles that can be formed = 4 × 6 + 4 × 4 + 4  × 4 = 56 triangles

Of the 56 triangles, it will be found that all 24 triangles from the different 6 direct faces will have the same dimension of 1, 1, √2 are congruent

The 24 triangles formed by the sides of the faces and an adjacent diagonal have the same dimension of 1, √2, √3 and are congruent

The 8 triangles formed by joining the three diagonals have the same dimension of √2, √2, √2 are congruent

Therefore, the 56 triangles comprises of a combination of three non-congruent triangle.

There are only 3 observed non congruent triangles formed by connecting three of the vertices of the cube.

Answer:

Answer is 3, i had it for homework

Step-by-step explanation: