A function is defined by the equation f(x) = 2x – 5.
1. What is f(0)?
2. What is f())?
3. What is f(100)?
4. What is a when f(x)=9

Answers

Answer 1

Answer:

1.f(0)=-5

3.f(100)=195

4.f(x)=9;ans.14

Answer 2

The value of the equations are

a) f ( 0 ) = -5

b) f ( 100 ) = 195

c) The value of x when f ( x ) = 9 is x = 7

How do equations work?

Mathematical expressions with two algebraic expressions on either side of the equals (=) sign are called equations.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

f ( x ) = 2x - 5   be equation (1)

On simplifying the equation , we get

when x = 0

The equation becomes f (0) = 2 (0) - 5 f (0) = 0 - 5 f (0) = -5 when the value of x = 0 is substituted.

At this point, x Equals 100

In the equation, if we substitute the value of x = 100, we obtain f (100) = 2 (100) - 5 f (100) = 200 - 5 f (100) = 195.

Moreover, if f (x) = 9 9 = 2x – 5

2x = 14 is obtained by adding 5 to both sides of the equation.

We obtain x = 7 by dividing both sides of the equation by 2.

The equations are thus resolved.

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Related Questions

d + 5.5 = 10. Solve for d.

Answers

Answer:

d=4.5

Step-by-step explanation:

d+5.5=10

d=10-5.5

d=4.5

Hope this is helpful

Which number when multiplied by3/8 gives 1/2

Answers

Answer:

the answer is 8/6.

Step-by-step explanation:

8/6 x 3/8 is 24/48 which can be reduced several times to the lowest it can be which is 1/2.

You roll a number cube (six sides, #1 - 6). What is the probability of rolling a 5? *

Answers

Answer:

The probability of rolling a 5 is 1/6.

Step-by-step explanation:

There is only one 5 out of the 6 sides, therefor you can only get it once, so the probability of rolling a 5 would be 1/6.

need these Questions answered ASAP!!!!

Answers

The vertical change is +1
The horizontal change is +2

Arianna has a coin collection. She keeps 4 of the coins in her box, which is 10% of the
collection. How many total coins are in her collection?

Answers

Answer: 40 coins. Doesn't your profile say college?

What is the center and radius of the circle with the given equation? (x+6)^2 + (y-1)^2=9

Answers

Answer:

center=(-6, 1)

radius=√9= 3

Step-by-step explanation:

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

What type of number can be written as a fraction, where p and q are
integers and q is not equal to zero?
A. A rational number
B. All numbers
C. An irrational number
D.n

Answers

Answer:

A. rational number can be written p/q form, where q not equal to zero.

Answer:

its A

Step-by-step explanation:

Need help *URGENT*
7th grade
Vertical Angles

Answers

a) 52
b) 100
c) 28
d) 28
e) 52
f) 152
g) 80
h) 128
i) 128
j) 80

Exhibit 13-3 To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the three treatments. You are given the results below. Treatment Observation A 20 30 25 33 B 22 26 20 28 C 40 30 28 22 The test statistic to test the null hypothesis equals _____. a. 1.059 b. .944 c. 19.231 d. 3.13

Answers

Answer:

a. 1.059

Step-by-step explanation:

Test statistics is used in hypothesis testing to find the conclusion. Test statistics are T-values which are used in testing a hypothesis and deciding whether to accept or reject the null hypothesis.

Test statistics can be calculated with the following formula:

Z = x - u / s /[tex]\sqrt{n}[/tex]

Write an equation for the line graphed below: y=??

Answers

Answer: y=-2x-1

Step-by-step explanation:

First let's find the slope by using the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]\frac{-3--1}{1-0} \\\frac{-2}{1} \\-2[/tex]

The equation for slope intercept form is y=mx+b where m is the slope and b is the y-intercept

The y-intercept is -1 giving us the equation

y=-2x-1

David went shopping for a new phone because of. A sale. The price on the tag was 46$ but David paid 39.10 before tax. Find a he percent discount

Answers

Answer:

2x

Step-by-step explanation:

Complete answer

Answer:

2x

Step-by-step explanation:

Mental math is just better

4+4 HELP ME RNNNNN zzolzzz

Answers

Answer:

8

Step-by-step explanation:

I'm not too sure, I think it might be 8.

Answer:

4+4 = 8

Step-by-step explanation:

What is the value of the unknown angle (2x)

Answers

Answer:

2x = 44

Step-by-step explanation:

115+94+107+2x = 360

2x = 360 -316 = 44

x = 22

Answer:

Step-by-step explanation:

115+94+107+2x=360 degree(sum of interior angles og four angles is always 360 degree)

2x+316=360

2x=360-316

x=44/2

x=22

substitute the value of x in 2x

=2x

=2*22

=44

The length of a rectangle is 4 meters less than three times its width. Its area is 319 square meters. What are the dimensions of the rectangle?
The width is
m.
The length is
m.

Answers

Answer:

length =29m width =11m

Step-by-step explanation:

length---L

width -----W

L=3W-4

area=319sqm

area of rectangle=L × W

area of rectangle =W ×(3W - 4)=319

expanding...

3W^2 - 4W=319

3W^2 - 4W -319=0

factorize

(W-11)(3W+29)=0

W=11 or -29/3

using the positive because the negative width with a minus sign does not make sense in real life, we use 11m

width =11m

length 3W -4=3(11) -4 =29m

How many people will get candy?

Answers

Answer:

22 people

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

11/4

Applying the fractions formula for division,

11x8

4x1

Simplifying 88/4, the answer is

22

Find the area of the shaded region.

Answers

Answer:

253 cm^2

Step-by-step explanation:

Large rectangle (without the cutout)

A = wl

A = 18*18

A = 325

Small rectangle (cutout)

A = wl

A = 12 * 6

A = 72

Substract 72 from 325

Determine the values of the parameter s for which the system has a unique solution, and describe the solution. x 1 - 5 sx 2

Answers

Answer:

[tex]s \ne \±2[/tex]

[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]

[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]

Step-by-step explanation:

Given

[tex]3sx_1 +5x_2 = 3[/tex]

[tex]12x_1 + 5sx_2 =2[/tex]

Required

Determine the value of s

Express the equations as a matrix

[tex]A =\left[\begin{array}{cc}3s&5\\12&5s\end{array}\right][/tex]

Calculate the determinant

[tex]|A|= (3s*5s -5 *12)[/tex]

[tex]|A|= (15s^2 -60)[/tex]

Factorize

[tex]|A|= 15(s^2 -4)[/tex]

Apply difference of two squares

[tex]|A|= 15(s -2)(s + 2)[/tex]

For the system to have a unique solution;

[tex]|A| =0[/tex]

So, we have:

[tex]15(s -2)(s+2) = 0[/tex]

Divide both sides by 15

[tex](s -2)(s+2) = 0[/tex]

Solve for s

[tex]s -2 = 0\ or\ s +2 = 0[/tex]

[tex]s = 2\ or\ s = -2[/tex]

The result can be combined as:

[tex]s =\±2[/tex]

Hence, the system has a unique solution when [tex]s \ne \±2[/tex]

Next, we solve for s using Cramer's rule.

We have:

[tex]mat\ x_1 = \left[\begin{array}{cc}3&5\\2&5s\end{array}\right][/tex]

Calculate the determinant

[tex]|x_1| = (3 * 5s - 5 *2)[/tex]

[tex]|x_1| = 15s - 10[/tex]

So:

[tex]x_1 =\frac{|x_1|}{|A|}[/tex]

[tex]x_1 = \frac{15s - 10}{15(s -2)(s+2)}[/tex]

Factorize

[tex]x_1 = \frac{5(3s - 2)}{15(s -2)(s+2)}[/tex]

Divide by 5

[tex]x_1 = \frac{3s - 2}{3(s -2)(s+2)}[/tex]

[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]

Similarly:

[tex]mat\ x_2 =\left[\begin{array}{cc}3s&3\\12&2\end{array}\right][/tex]

Calculate the determinant

[tex]|x_2| = 3s * 2 - 3 * 12[/tex]

[tex]|x_2| = 6s- 36[/tex]

So:

[tex]x_2 =\frac{|x_2|}{|A|}[/tex]

[tex]x_2 = \frac{6s- 36}{15(s -2)(s+2)}[/tex]

Factorize

[tex]x_2 = \frac{6(s- 6)}{15(s -2)(s+2)}[/tex]

Divide by 3

[tex]x_2 = \frac{2(s- 6)}{5(s -2)(s+2)}[/tex]

[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]

In a class of 32 students, the mean height of the 14 boys is 1.56 meters, the mean height of all 32 students is 1.515. Work out the mean height of the girls

Answers

Answer:

I'm not sure but I did do it on a calculator so 1.515-1.56= -0.045

Let : → be the quadratic function defined by () = 2
2 + 6 − 8. Find
(i) the vertex (ii) the range
(iii) the axis of symmetry (iv) x-intercepts
(v) the graph of the function f
please answer step by step

Answers

Step-by-step explanation:

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Zachary just accepted a job at a new company where he will make an annual salary of $43000. Zachary was told that for each year he stays with the company, he will be given a salary raise of $4000. How much would Zachary make as a salary after 9 years working for the company? What would be his salary after tt years?

Answers

Answer:

if I'm not wrong the answer should be 403,000

HELP
use the graph below to fill the blank with the correct number:
f(1)=​

Answers

Answer:

-2

Step-by-step explanation:

f(1) is the value of y when x = 1.

Thus, from the graph, we see that when x = 1 on the x-axis, on the y-axis, we have a corresponding y value of -2.

This means y = -2 when x = 1.

Therefore:

f(1) = -2

find the value of x to the nearest tenth​

Answers

Answer:

9.0

Step-by-step explanation:

x = 7 / cos 39°

= 7 / 0.7771

= 9.0

please help i need it!!!​

Answers

Answer:

9

Step-by-step explanation:

Answer:

y = - x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line

m = [tex]\frac{0-9}{9-0}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1

The line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = - x + 9 ← equation of line

What is the value of [image below]?
–38
–14
6
38

Answers

Answer:

6

Step-by-step explanation:

We can find the sum by find all 4 terms

n=1

(-1) (( 3*1)+2) = -1 *5 = -5

n=2

(-1)^2 ( 3*2 +2) = 1(6+2) = 8

n= 3

(-1)^3 ( 3*3+2) = -1 ( 9+2) = -11

n=4

(-1)^4 (3*4 +2) = 1( 12+2) = 14

Add them together

-5+8-11+14

6

Answer:

C. 6

Step-by-step explanation:

hope this helps :)

On an architects blueprint, 1 inch corresponds to 9 feet. If an exterior wall is 60 feet long, find how long the blueprint measurement should be

Answers

Answer:

x = 6.67 inches

Step-by-step explanation:

Set upa s a proportion

x/60 = 1/9

x = 1/9 * 60

x = 6.67 inches

The sum of two numbers is 67. The difference of the two numbers is 53. What are the two numbers?

Answers

Answer:

One number is 60 and the other is 7.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equation using substitution/elimination

Step-by-step explanation:

Step 1: Define

Identify and set up

Let x be one number and y be the other.

x + y = 67

x - y = 53

Step 2: Solve for x

Elimination

Combine two equations:                                                                                   2x = 120[Division Property of Equality] Divide 2 on both sides:                                  x = 60

Step 3: Solve for y

Substitute in x [1st Equation]:                                                                           60 + y = 67[Subtraction Property of Equality] Subtract 50 on both sides:                      y = 7

calculate the area of a circle with a diameter of 8.2 inches. show or explain your reasoning.

Answers

Answer:

Area = 52.81 square inches

Step-by-step explanation:

[tex]Diameter = 8.2in\\\\Radius = \frac{diameter}{2}=\frac{8.2}{2}=4.1in\\\\Area \ of \ a \ circle = \pi r^2 = \pi \times 4.1^2 = 52.81 in^2[/tex]

If the two angles are complementary, find the measure of each of angle.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\text{D) } 40 \text{ and }50[/tex]

»»————- ★ ————-««  

Here’s why:  

Complementary Angles have a sum of 90°.

⸻⸻⸻⸻

[tex]\boxed{\text{Setting up an equation...}}}\\\\ \text{We know that complementary angles add up to 90 degrees.}\\\text{Therefore, the sum of the two angles is 90 degrees.}\\\\\rightarrow 4r + 5r = 90[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'r'...}}\\\\4r + 5r = 90\\---------------\\\rightarrow 9r = 90\\\\\rightarrow \frac{9r=90}{9}\\\\\boxed{r = 10}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating the expressions given...}}\\\\4r \text{ and } 5r\\----------------\\\boxed{4r}\\\\\rightarrow 4(10)\\\\\rightarrow 4 * 10\\\\\rightarrow\boxed{40}\\----------------\\\boxed{5r}\\\\\rightarrow 5(10)\\\\\rightarrow 5 * 10\\\\\rightarrow \boxed{50}[/tex]

⸻⸻⸻⸻

The correct answer should be D.

⸻⸻⸻⸻

»»————- ★ ————-««  

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

Answer:

D   40 degree and 50 degree

Step-by-step explanation:

*  We can work in units when dealing with tens as 4 + 5 = 9

* As the angle ASD is a Right Angle   4r  :  5r = 9r

* 2 angles we see within add up to 90 degree  90 = 9r

  ASM + MSO = 90 degree

* 5r = ASM   and 4r = MSO =  50 = ASM and 40 = MSO

 Therefore ASO - MSO = ASM   = 90 - 50 = 40

  90 - 50 = 40  and 90 - 5r = 4r

  4r = 40 degree and 5r = 50 degree

So just list a few of the above and show that

4r + 5r = 90

9r =  90/9  

r  = 10

Rounding to zero angles =  40 + 50 = 90 as r = 10

* Answer is D   40 degree and 50 degree

PLEASE HURRY I NEED MY WORK TO BE SHOWN!!!!! 15 POINTS!!! CORRECT ANSWERS ONLY PLEASE!!!

Answers

Answer:

f(-4) = 72, f(x + 5) = 3x² + 23x + 36

Step-by-step explanation:

f(-4) = 3(-4)² - 7(-4) - 4

      = 48 - (-28) - 4

f(-4) = 72

f(x + 5) = 3(x + 5)² - 7(x + 5) - 4

           = 3(x + 5)(x + 5) - 7(x + 5) - 4

           = 3(x² + 10x + 25) - 7(x + 5) - 4

           = 3x² + 30x + 75 - 7x - 35 - 4

f(x + 5) = 3x² + 23x + 36

Which graph represents the equation y = – (x – 1)2 + 1?

Answers

Answer:

No graph was put in, but heres a helpful answer.

Step-by-step explanation:

There is no graph, but

Y=-1(2x-2)+1

y=-2x+2+1

y=-2x+3

The required graph has been attached below that represents the equation of the parabola y = – (x – 1)² + 1.

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c.

The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

The equation of the parabola is given in the question, as follows:

y = – (x – 1)² + 1

As we know that parabola is, an open curve is a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

Here, (1,1) is most likely to be the relative maximum for this graph.

The required graph has been attached below that represents the equation y = – (x – 1)² + 1.

Learn more about the parabola here:

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