Use the graph of the following function (x) to find the value.
f(1)

Use The Graph Of The Following Function (x) To Find The Value. F(1)

Answers

Answer 1

From the graph of the given function , the value of f(1) = -1.

As given in the question,

From the graph of the given function,

Two coordinates from the graph are as follow:

( x₁ , y₁) = (1, -1)

( x₂ , y₂ ) = ( 0, -3 )

Equation of the line representing the function is given by:

(y - y₁) /(x-x₁) = ( y₂ -y₁)/ (x₂ -x₁)

⇒(y +1)/ (x-1) = (-3 +1)/ (0-1)

⇒ (y +1)/ (x-1) = 2

⇒y +1 = 2x -2

⇒ y = 2x -3

To get the value of x we have,

  y = f(x)

⇒f(x) = 2x -3

⇒f(1) = 2(1) -3

⇒f(1) = -1

Therefore, from the graph of the given function , the value of f(1) = -1.

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Related Questions

An employee makes $10.51 per hour but is getting a 3% increase. What is his new wage per hour to the nearest cent? What percentage of the original wage is his new​ wage?

Answers

The employee's new wage per hour is $10.83. The percentage increase of the original wage to his new​ wage is 3%.

What is a percentage increase?

A percent increase means how much a percentage has gone up over time. To find this number, one would need to find the difference between the original value and the final value, subtracting to find the exact total of the decrease. The formula for percent increase equals to "Increase / original number (value) x 100".

Given data:

First, we find 3% of $10.51 to get new wage per hour

= 0.03$ * $10.51

= $0.32

Then, we add this increase to $10.51.

= $10.51 + $0.32

= $10.83

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During December, Far Eas Services makes a credit sale of $2,800 (before sales taxes). The state sales tax rate is 6% and the local sales tax rate is 2.5%.



Record sales and sales tax payable.

Answers

The credit sale after state and local tax payable is 2562$.

What is percentage?

Percentage is a measurement to find value of given number out of hundred.

Given that,

The credit sale before sales taxes = 2800$,

The rate of state sale tax = 6%,

And rate of local sale tax = 2.5%

The sale after state tax = 2800-2800×6/100=2800-168=2632,

The sale after local tax=2800-2800×2.5/100=2800-70=2730

The credit sale after state and local tax= 2800-168-70=2562.

The required credit sale =2562$.

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Find the equation of the line

Answers

Answer:

[tex]y= \frac 12 x -3\\y=0.5x -3[/tex]

Depending if you can imput fractions, or decimal numbers.

Step-by-step explanation:

The slope can easily calculated as [tex]m=\frac{\Delta y}{\Delta x} = \frac {0-(-3)}{6-0} = \frac 36 = \frac12[/tex]

The y intercept can be easily read from the graph as and is -3

The operation * is defined as a*b=a+b-2ab
Evaluate 2* (3*5)
(2*3)*5

Answers

The value of 2*(3*5) = 68.

The value of (2*3)*5 = 68.

What is multiplication?

A mathematical formula that specifies the objects to be multiplied, known as a factor, produces a product. For instance, the product of 6 and 5 is 30.

Given: The operation * is defined as,

a*b = a + b - 2ab

We have to find the value of 2*(3*5) and (2*3)*5

First to find the value of 2*(3*5).

2*(3*5) = 2*(3 + 5 - 30) = 2*(-22) = 2 + (-22) - 2(-22)(2) = 68.

Now to find the value of (2*3)*5.

(2*3)*5 = (2 + 3 - 12)*5 = -7*5 = (-7) + 5 - 2(-7)(5) = -2 + 70 = 68.

Therefore, 2* (3*5) = 68 and (2*3)*5 = 68.

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The average weight of a population of manatees is unknown. A random sample of manatees selected from the population yields a sample mean of x¯=880.3 pounds. Assume the sampling distribution of the mean has a standard deviation of σx¯=10.4 pounds. Use the Empirical Rule to construct a 68% confidence interval for the true population mean weight.

Answers

The confidence interval that we have for the population mean is given as [869.9 , 890.7]

How to solve for the confidence interval

The confidence interval is the range of values that, if you repeated your experiment or resampled the population in the same manner, you would anticipate your estimate to fall within a specific proportion of the time.

We have the following data that we have to solve this problem with

The mean = x¯=880.3 pounds

The standard deviation = 10.4 pounds.

The confidence interval = 68%

To get the confidence interval for the true mean of the population weight we would have

mean ± standard deviation

880.3 ± 10.4

The interval would be written out as

880.3 - 10.4 and 880.3 + 10.4

the confidence interval =

[869.9 , 890.7]

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Please help me I NEED HELP​

Answers

Answer:

Step-by-step explanation:

ABC = the draw of the square means that the angle is right

We can now say that the other two angles are acute because the sum of the interior angles of a triangle is 180 degrees


BCA = acute

CAB = acute

Can someone help me out with this math problem and weather it converges or diverges?

Answers

The given infinite series is divergent.

Given,

[tex]\sum \limits^\infty_{n=1 }{(-1)^{n+1}\frac{3n^2+n+1}{2n^2-1}}[/tex]

it is in the form,

[tex]\sum \limits^\infty_{n=1 }{(-1)^{n+1}\ a_n[/tex]

If the series is convergent then it satisfies,

i)[tex]b_{n+1}\ \leq\ b_n\ for\ all\ n[/tex]

ii)[tex]\lim_{n \to \infty} a_n =0[/tex]

if any of the above condition dissatisfies then the series is divergent

First check the 2nd condition,

[tex]\lim_{n \to \infty}\frac{3n^2+n+1}{2n^2-1}}\\\\= \lim_{n \to \infty}\frac{n^2(3+\frac{1}{n}+\frac{1}{n^2})}{n^2(2-\frac{1}{n^2})}}\\\\=\frac{3+0+0}{2-0}\\\\=\frac{3}{2}[/tex]

Here, [tex]\lim_{n \to \infty} a_n \neq 0[/tex]

Thus, the given series is divergent.

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The sum of m and ten multiplied by 4

Answers

Answer:

4(m+10)

Step-by-step explanation:

sum is adding

Hopes this helps please mark brainliest

1. How many games did each team play? The men played

Answers

The question isn’t finished yet.

Can someone help me with this

Answers

Using the information from the given diagram, the measure of angle x (m ∠x) is 52°

Calculating the measures of angles

From the question, we are to determine the measure of angle x.

From the given diagram, we can write that

m ∠A + m ∠H + m ∠I = 180° (Sum of angle in a triangle)

Also,

m ∠K = m ∠I (Corresponding angles theorem)

∴ m ∠I = 62°

Thus,

x° + 66° + 62° = 180°

x° + 128° = 180°

x° = 180° - 128°

x° = 52°

Hence, the measure of ∠x 52°

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What are the solutions of this quadratic equation?

2x2 + 16x − 8 = 0

Answers

Answer:

[tex]x= -4[/tex] + [tex]2\sqrt{5}[/tex]   and   [tex]x= -4 -2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]ax^{2}[/tex] + [tex]bx[/tex] - [tex]c = 0[/tex]

For this equation: [tex]a = 2, b = 16, c = -8[/tex]

[tex]2x^{2}[/tex] + [tex]16x[/tex] - [tex]8 = 0[/tex]

Step 1: Use quadratic formula with [tex]a=2, b=16, c=-8[/tex]

[tex]x=\frac{-b + - \sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x=\frac{-(16) + - \sqrt{16^{2}-4(2)(-8) } }{2(-2)}[/tex]

[tex]x=\frac{-16+- \sqrt{320} }{4}[/tex]

[tex]x= -4[/tex] + [tex]2\sqrt{5}[/tex]  and   [tex]x= -4 -2\sqrt{5}[/tex]

Hope this helps! :)

(A) find the perimeter of triangle BCF, to the nearest hundredth

(B) find the area of triangle BCF

Answers

Perimeter of triangle FBC is 19.24 units

Area of triangle FBC is 100.62 square units

Given,

The triangle with vertices;

F(-3, 5)

B(3, 2)

C(1, -2)

We have to find the perimeter and area of the triangle;

Formula for getting distance from vertices;

D = [tex]\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }[/tex]

Here,

Length of FB; F(-3, 5), B(3, 2)

D = [tex]\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }[/tex]

= [tex]\sqrt{(3 -(-3) )^{2}+(2 -5 )^{2} }[/tex]

= [tex]\sqrt{6^{2} +(-3)^{2} }[/tex]

= [tex]\sqrt{36+9}[/tex]

= √45

Length of BC; B(3, 2), C(1, -2)

D = [tex]\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }[/tex]

= [tex]\sqrt{(1 -3 )^{2}+(-2-2)^{2} }[/tex]

= [tex]\sqrt{(-2)^{2} +(-4)^{2} }[/tex]

= [tex]\sqrt{4+16}[/tex]

= √20

Length of FC; F(-3, 5), C(1, -2)

D = [tex]\sqrt{(x_{2} -x_{1} )^{2}+(y_{2} -y_{1} )^{2} }[/tex]

= [tex]\sqrt{(1-(-3) )^{2}+(-2 -5)^{2} }[/tex]

= [tex]\sqrt{4^{2}+(-7)^{2} }[/tex]

= [tex]\sqrt{16+49}[/tex]

= √65

That is,

Length of side FB = √45 unitsLength of side BC = √20 unitsLength of side FC = √65 units

Now,

Perimeter of triangle FBC = FB + BC + FC

= √45 + √20 + √65

= 19.24 units

Next,

Area of triangle FBC = 1/2 × BC × FB²

= 1/2 × √20 × √45²

= 100.62 square units.

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Which triangle congruence postulate would be used to prove the following triangles congruent?
1. AAS
2. SSS
3. SAS
4. HL

Answers

Side-side-side postulate

(10-x)+(12-x)


how do you do this i can't do this at all.

Answers

Answer:

[tex]\sf -2x+22[/tex]

Step-by-step explanation:

[tex]\sf (10-x)+(12-x)[/tex]

Simplify:-

[tex]\sf 10-x+12-x[/tex]

Combine like terms:-

[tex]\sf -x-x+10+12[/tex]

[tex]\sf (-x-x)=\bf -2x[/tex]

[tex]\sf (10+12)=\bf 22[/tex]

[tex]\sf -2x+22[/tex]

__________________

Hope this helps!

Have a great day!

Jaden has a part-time job working for a landscaping company. He earns $25 for each lawn-mowing job, l, and $20 for each pulling-weeds job, w. This can be modeled by 25l+20w. Evaluate for l=4 and w=6 to find how much money Jaden will earn for 4 lawn-mowing jobs and 6 pulling-weeds jobs. Please helpppp

Answers

Answer:

220.

Step-by-step explanation:

If you plug in 4 for L and 6 for W, you are left with 25(4) + 20(6), which is equivalent to 100+120 = $220

Answer:

220

Step-by-step explanation:

Need help with This also

Answers

Answer:

Step-by-step explanation:

8.5 inches divided by 2 = 4.25 inches which is the base of the triangle with a height of 5.8 inches. Area of that triangle is 1/2 x base x height = 1/2 x 4.25 inches x 5.8 inches = 12.325 inches squared. Two of the triangles make 1 full isoceles triangle= 2 x 12.325 inches squared = 24.65 inces squared. But there are 5 isoceles triangles in a pentagon, so 5 times 24.65 inches squared = 123.25 inches squared.


589 in base five is

Answers

589 in base five is  [tex]4324_{5}[/tex].

Given number:

589

converting to [tex]589_{5}[/tex].

⇒ 5|589

⇒ 5|117|4

⇒ 5|23|2

⇒ 5|4|3

⇒ 5|4|4

Now we write the last digit from last number to first that is,

= [tex]4324_{5}[/tex].

Hence 589 in base five is  [tex]4324_{5}[/tex].

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Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the nth term. 5 th term is 0​; 45 th term is -120

Answers

The first term of the sequence is 12 and the common difference is -3.

What is arithmetic progression?

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

Given that a formula for the nth term. 5th term is 0​; 45th term is -120. The common difference is calculated as,

a₁ + d(5-1) = 0

a₁ + d(45 - 1) = -120

Solve the above equation,

a₁ + 4d = 0

-a₁ - 44d= +120

___________

     -40d = 120

          d = -3

The value of the first term is,

a₁ + 4d = 0

a₁ + 4 x -3 = 0

a₁ = 12

Therefore, the first term of the sequence is 12 and the common difference is -3.

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solve the system of equations by the addition method
x-y= -2
x+y=4
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The solution set is }. (Type an ordered pair.)
B. There are infinitely many solutions. The solution set is {(x,y)}.
(Type an equation.)
C. There is no solution. The solution set is Ø.

Answers

Answer:

  (x, y) = (1, 3)

Step-by-step explanation:

You want to solve the system of equations x-y= -2; x+y=4 by the addition method.

Addition method

The addition method seeks to eliminate one of the variables by adding the equations with appropriate multipliers so that one of the coefficients becomes zero.

Here, we observe that the coefficient of y in one equation is the opposite of that in the other equation. This means adding the two equations will cancel the y-terms:

  (x -y) +(x +y) = (-2) +(4)

  2x = 2 . . . . . . . . . . . . . . . . simplify; y-term is eliminated

  x = 1 . . . . . . divide by 2

  1 +y = 4 . . . . . . . substitute for x in the second equation

  y = 3 . . . . . . . . . subtract 1

The solution is (x, y) = (1, 3).

I need help finding S please help fast

Answers

Answer:

s = 89°

Step-by-step explanation:

Exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles of the triangle.

[tex] \therefore[/tex]

[tex] \rm \implies (v + 1) \degree + (v - 28) \degree = (v + 32) \degree \\ \\ \rm \implies 2v - 27 \degree = (v + 32) \degree \\ \\ \rm \implies 2v -v = 32 \degree + 27 \degree \\ \\ \rm \implies v = 59 \degree [/tex]

Sum of angles in a straight line is equal to 180°

[tex] \therefore[/tex]

[tex]\rm \implies v + 32 \degree + s = 180 \degree \\ \\ \rm \implies 59 \degree + 32 \degree + s = 180 \degree \\ \\ \rm \implies s + 91 \degree = 180 \degree \\ \\ \rm \implies s = 180 \degree - 91 \degree \\ \\ \rm \implies s = 89 \degree[/tex]

2. Kira has three dogs, Luna, Cooper, and Daisy.
Cooper weighs 25 pounds less than Daisy. Luna
weighs 20 pounds less than three times Cooper.
If their combined weight is 175 pounds, how
much does Luna weigh?

A. 59 pounds
B. 74 pounds
C. 78 pounds
D. 82 pounds

Answers

The weight of Luna is 82 pounds , the correct option is (d) .

In the question ,

it is given that

Kira has three dogs Luna , Cooper and Daisy .

let the weight of cooper be c .

given Cooper weighs 25 pounds less than Daisy

which is c = daisy - 25

So , daisy = c + 25

and Luna weighs 20 pounds less than three times Cooper ,

which is Luna = 3c - 20

Given the combined weight is = 175 pounds

Cooper + Daisy + Luna = 175

c + c + 25 + 3c - 20 = 175

5c + 5 = 175

5c = 175 - 5

5c = 170

c = 170/5

c = 34

So, Luna = 3c - 20 = 102 - 20 = 82 pounds .

Therefore , The weight of Luna is 82 pounds .

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Is this how I do a sign analysis table? I’m not sure if I should include the x^2…

Answers

Answer:

I believe there is supposed to be something in the the corner box (Top left).

Step-by-step explanation:

Simplify: 2cd3(c − d + 5)
Responses
A 2cd3 − 2c2d4 + 10c2d32 cd 3 − 2 c 2 d 4 + 10 c 2 d 3
B 2c2d3 − 2cd4 + 10cd32 c 2 d 3 − 2 cd 4 + 10 cd 3
C 2cd3 − 2cd3 + 10cd32 cd 3 − 2 cd 3 + 10 cd 3
D 2c2d3 − 2c2d4 + 10cd2

Answers

Simplification of the given expression 2cd³ (c - d +5) is given by

2c²d³ − 2cd⁴ + 10cd³.

As given in the question,

Given expression is equal to :

2cd³ (c - d +5)

Law of exponents for multiplication is given by:

mᵃ × mᵇ  =mᵃ⁺ᵇ

Simplification of the given expression by open the parenthesis we have,

= 2cd³ × c - 2cd³ × d + 2cd³ × 5

Apply law of exponents for multiplication we get,

= 2c¹⁺¹d³ -2cd³⁺¹ + (2×5)cd³

= 2c²d³ -2cd⁴ + 10cd³

Therefore, simplification of the given expression 2cd³ (c - d +5) is given by 2c²d³ − 2cd⁴ + 10cd³.

The complete question is:

Simplify : 2cd³ (c - d +5)

a. 2cd³− 2c²d⁴ + 10c²d³

b. 2c²d³ − 2cd⁴ + 10cd³

c. 2cd³ − 2cd³ + 10cd³

d.  2c²d³− 2c²d⁴ + 10cd²

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Write the expression as a power and evaluate it.
8•2^7

Answers

Answer:

1024

Step-by-step explanation:

8 times 2 to the 7th power

2 by the 7th power 128 times 8 1024

what kind of transformation converts the graph of f(x)= -10(x-2)^2 into the graph of g(x)= -2(x-2)^2

Answers

The transformation that converts f(x) to g(x), f(x) is contraction by 5 units

What are transformations?

Transformations are mathematical operations which change the shape and orientation of an object or function.

The types of transformations include

Dilation, Reflection, translationcontraction and rotationHow to find what kind of transformation converts f(x) to g(x)?

Since we have the graph of f(x) = -10(x - 2)² into the graph of g(x)= -2(x - 2)².

We see that f(x) = -10(x - 2)²

= 5 × -2(x - 2)²

= 5g(x)

Since f(x) = 5g(x)

⇒g(x) = f(x)/5

So, we converts f(x) to g(x), f(x) is contraction by 5 units

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Choose from the drop-down menus to match the trigonometric expression with its value

Answers

The values that match the various trigonometric identity are;

1) sin²/₅π cos π/₁₀ + cos²/₅π sin π/₁₀ = 1

2) cos 13 cos 47 + sin 13 sin 47 = 0.5

3) sin²/₅π cos ⁸/₅π + cos²/₅π sin ⁸/₅π = 0

How to solve Trigonometric Identities?

Trigonometric identities are defined as the equations that involves the trigonometric functions that are true for every value of the variables involved.

1) We know that the trigonometric identity sin(A + B) is expressed as;

sin(A + B) = sinAcosB + cosAsinB

We are given;

sin²/₅π cos π/₁₀ + cos²/₅π sin π/₁₀

Applying the trigonometric identity above, gives us;

sin(²/₅π + π/₁₀)

= sin(5π/10)

= sin(π/2)

= 1

2) We know that the trigonometric identity sin(A + B) is expressed as;

cos(A + B) = cosAcosB − sinAsinB.

We are given;

cos 13 cos 47 + sin 13 sin 47

Applying the trigonometric identity above, gives us;

cos(13 + 47)

= cos 60

= 0.5

3) We know that the trigonometric identity sin(A + B) is expressed as;

sin(A + B) = sinAcosB + cosAsinB

We are given;

sin²/₅π cos ⁸/₅π + cos²/₅π sin ⁸/₅π

Applying the trigonometric identity above, gives us;

sin(²/₅π + ⁸/₅π)

= sin(¹⁰/₅π)

= sin(2π)

= 0

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There are 8 kites in the sky, and 5 of those kites are striped. What fraction of
the kites are striped?

A. 6/8
B.5/8
C.5/13
D.4/8

Answers

The answer is C. 5/8
8 kites total in the sky. 5 kites in the sky are striped.
Proportion is 5/8

if the selling price for a shirt is $39.98 and the tax rate is 4.5% what is the sales tax

Answers

Answer:

8.25 % I got this answer right.

In Alex's drawer she has 10 pairs of socks, 8 of which are white, and 9 tee shirts, 2 of which are white.
The probability of choosing a white pair of socks is

The probability of choosing a white tee shirt is

The probability of both being white is

Answers

The probability of choosing a white pair of socks is 4/5The probability of choosing a white tee shirt is 2/9The probability of both being white is 8/45

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total socks= 10

White socks= 8

Total T- shirts= 9

White T- shirts = 2

Now, The probability of choosing a white pair of socks is

= 8/10

= 4/5

and, The probability of choosing a white tee shirt is

= 2/9

and, The probability of both being white is

= 4/5 x 2/9

= 8/45

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Last week, the total weight of the members of a weight loss support group was 2,500 pounds. This week, it was 2,525 pounds. What percent heavier is the group now? %

Answers

The percent increase from 2,500 pounds this week to 2,525 pounds is 1% increase

How to find the percent increase of the weights?

From the question, we have the following parameters that can be used in our computation:

Initial weight = 2500 pounds

New weight = 2525 pounds

The percentage increment is then calculated as

Percentage = (Final value - Initial value)/Initial value * 100%

Substitute the known values in the above equation

Percentage = (2525 - 2500)/2500 * 100%

Evaluate the difference

So, we have

Percentage = 25/2500 * 100%

Evaluate the quotient

So, we have

Percentage = 0.01 * 100%

Evaluate the product

So, we have

Percentage = 1%

Hence, the percent increase is 1% increase

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