The function f(x) is graphed on the coordinate plane.

What is f(−4)?



Enter your answer in the box.

f(−4) =

Answer:

3

Step-by-step explanation:

step1 Isolate the square root on the left hand side

    Original equation

    √2x-5-4 = -x

    Isolate

    √2x-5 = 4-x

step2 eliminate the radical on the left hand side

    Raise both sides to the second power

    (√2x-5)2 = (4-x)2

    After squaring

    2x-5 = x2-8x+16

step3 Solve the quadratic equation

    Rearranged equation

    x2  - 10x  + 21 = 0

    This equation has two rational roots:

      {x1, x2}={7, 3}

step4 Check that the first solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 7 for  x  

     √2•(7)-5 = 4-(7)

     Simplify

     √9 = -3

     Solution does not check

     3 ≠ -3

step5 Check that the second solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 3 for  x  

     √2•(3)-5 = 4-(3)

     Simplify

     √1 = 1

     Solution checks !!

    Solution is:

     x = 3

Answer:

-3

Step-by-step explanation: i got it right on my test

Answer:

x = 3

Step-by-step explanation:

-6x + 6 = -12

Subtract 6 on both sides

-6x + 6 -6 = -12 -6

-6x = -12 - 6

Simplify

-6x = -18

Divide by -6 on both sides

-6x/-6 = -18/-6

Simplify

x = 3

Answer:

A. y=x2 - 7

   y=x + 6

B. 7

Answer:

A.) 2x = y + 7

     y = x + 6

The variable "x" would represent Jacob's score and the variable "y" would represent Paul's score in each equation. In the first equation, 2x would represent Jacob's score multiplied by 2, and 7 would represent the amount of points needed in order for Paul to have double Jacob's score. In the second equation, 6 would represent the amount of points needed in order for Jacob's score to be equal to Paul's score.

B.) They are both correct so Jacob's score is 13 points and Paul's is 19.

6 + 7 = 13 (the difference between scores in both equations)

6 would represent the amount that Paul is above Jacob's score and 7 would represent the amount that Paul would have to score to get two times Jacob's score. So, this shows that Paul would have 26 points if he had double the amount of Jacob's score and 26 ÷ 2 = 13.

Hope This Helps!

Step-by-step explanation:

(x/2) +(y/-8)=1

[tex] \frac{x}{2} - \frac{y}{8} = 1[/tex]

well that is the equation

Answer:

y=(y/x+8/x) x-8

Step-by-step explanation:

Answer:

27+a

Step-by-step explanation:

Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).

For this problem, we have the standard deviation for the sample, thus, the t-distribution is used.

First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.

Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622.

The margin of error is of:

[tex]M = t\frac{s}{n}[/tex]

Then:

[tex]M = 2.2622\frac{9}{\sqrt{10}} = 6[/tex]

The confidence interval is:

[tex]\overline{x} \pm M[/tex]

Then

[tex]\overline{x} - M = 15 - 6 = 9[/tex]

[tex]\overline{x} + M = 15 + 6 = 21[/tex]

The confidence interval is (9, 21).

A similar problem is given at https://brainly.com/question/25157574

Answer:

-9/16 > -7/10

Step-by-step explanation:

Answer:

Weather data includes any facts or numbers about the state of the atmosphere, including temperature, wind speed, rain or snow, humidity, and pressure. These days, we have some amazing ways to collect this kind of data. We have high-tech equipment that can measure everything with amazing accuracy.

Answer:32-2=30 30+1+3=34 . Ans:34

Step-by-step explanation:

Answer:

32-3(4)

24

24 squared is

576

Answer:

B is the answer

Step-by-step explanation:

Answer: I think its C, yes, all the requirements are met.​

Step-by-step explanation: I might be wrong, so check to make sure

Yes, all the requirements are met.​

The correct option is (C)

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

A graph or table that displays the frequency of various outcomes is called a frequency distribution.

The bell-shaped normal distribution is the norm.

As, the frequency value is lower for scores 5.5000 to 5.5499,

and then it increases 5.5500- 5.7499, then decreases for scores 5.7500-5.7999.

So, the frequency distribution curve looks bell-shaped when plotted.

hence, it  follow a normal distribution.

Learn more about normal distribution here:

https://brainly.com/question/12432168

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112.5 miles in 2.5 hours

Answer:

Step-by-step explanation:

speed × time = distance

45 × 2.5 = 112.5

45 is the speed

2.5 is the time

11.25 is the distance

Answer:

£3150

Step-by-step explanation:

First you divide 5 by 100.

5% Interest Rate = 0.05

Then you times 3000 by 0.05.

3000 × 0.05 = 150

Then your add your answers together.

3000 + 150 = 3150

Answer:

£3150

Step-by-step explanation:

is the correct 1

Answer:

156,23

Step-by-step explanation:

let the numbers be x and y and x>y

x+y=179

x-y=133

add

2x=312

x=156

156+y=179

y=179-156=23

Answer:

156 and 23

Step-by-step explanation:

Step 1: Set up the system of equations.

Step 2: Solve x + y = 179 for x.

Step 3: Substitute -y + 179 for x in x - y = 133.

Step 4: Substitute 23 for y in x = -y + 179

Therefore, the numbers are 156 and 23.

Answer:

76/17

Step-by-step explanation:

Multiply the whole number by the denominator

4 × 17 = 68

Add the product from Step 1 to the numerator

68 + 8 = 76

Write answer from Step 2 over the denominator

76/17

Answer: -0.432

Step-by-step explanation:

0.4*1.08 would be 0.432 add the negative sign to get -0.432

The product of 0.4 and -1.08 is -4.240.

Multiplication is a method of finding the product of two or more numbers

To multiply 0.4 and 1.08, we need to follow few steps

first multiply as if there is no decimal.

Next, count the number of digits after the decimal in each factor.

Finally, put the same number of digits behind the decimal in the product.

   0.40

    1.08

___________

     240

   000+

 040++

____________

    4.240

As there is a negative sign infront if 1.08, we will put minus sign to the product value

So 0.4(-1.08) is -4.240

Hence the product of 0.4 and -1.08 is -4.240.

To learn more on Multiplication click:

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9514 1404 393

Answer:

  A) W'(-4, 2), ...

Step-by-step explanation:

Put the values of x and y in the translation relation to see what the translated point's coordinates are.

  (x, y) ⇒ (x -7, y +4)

  W(3, -2) ⇒ W'(3 -7, -2 +4) = W'(-4, 2) . . . . . . . . matches only choice A

Answer:

you solve its better for yourself

Answer:

Angle A = 30 degrees

Step-by-step explanation:

Using the right triangle angle sum theorem(basically, if a triangle is right, the angle measurements have to be 90, 60, and 30 degrees), we can see that angle A can only be either 60 or 30 degrees.  Angle A is narrower than angle B, so we can infer that angle A = 30 degrees.

Answer:

∠ B= 107°

Step-by-step explanation:

The sum of the 3 angles in  Δ ACD = 180° , then

∠ D = 180° - (32 + 41)° = 180° - 73° = 107°

The opposite angles D and B are congruent in a kite , so

∠ B = ∠ D = 107°

Step-by-step explanation:

Words Decimal Representation Scientific Notation

ten million 10,000,000 1 x 107

one hundred million 100,000,000 1 x 108

one billion 1,000,000,000 1 x 109

ten billion 10,000,000,000 1 x 1010

Answer:

Your answer is  B = 6

Step-by-step explanation:

[tex]A^{2} +B^{2} = C^{2} \\5^{2} + B^{2} = \sqrt{61} ^{2} \\B^{2} = \sqrt{61} }^{2} -5^{2} \\B^{2} = 61 - 25\\B = \sqrt{36} \\B = 6[/tex]

Hope this helps!

We will see that the component form of the given vector is <-8, 2>, so the correct option is D.

For a vector with starting point (a, b) and endpoint (c, d), the component form is:

<c -a, d -b>

In this case, we can see that the starting point is (4, -1), and the endpoint is (-4, 1)

Then the component form of the vector is:

<-4 - 4, 1 - (-1) > = <-8, 2>

So the correct option is D.

If you want to learn more about vectors, you can read:

https://brainly.com/question/3184914

Answer:

8/9

Step-by-step explanation:

10-2/10-1=8/9

slope=8/9

Answer:

8/9

Step-by-step explanation:

Here,

(1,2)=(x1,y1)

(10,10)=(x2,y2)

Now,

Slope(m)=(y2-y1)/(x2-x1)

=(10-2)/(10-1)

=8/9

Answer:

1/3125 or, 5^-5

Step-by-step explanation:

5^-1 = blank * 5^4

1/5/625= blank   or,     5^-1/5^4=blank

blank=1/3125               5^-5=blank

Step-by-step explanation:

Explanation:

Less Men, means more Days {Indirect Proportion}

Let the number of days be x then,

27 : 36 :: 18 : x

[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]

=>27x = 36 * 18

=> x = 24

So 24 days will be required to get work done by 27 men..

Answer:

36 men can complete work in 18 days

so, one man can complete work in 18×36 days

Therefore, 27 can complete work in 18×36/27 = 24 days

Step-by-step explanation:

Answer:

I think it's angle 10

Step-by-step explanation:

I'm not 100% sure, but I think this is it because angles 10 and 2 have the same relative position at the intersection.

I hope this helps

49+(-29)-3.Answer:

The answer is -80

Step-by-step explanation:

1. What I did first was plug in -7 into "x", so then your  expression is[tex](-7^{2} )+4*(-7)-3[/tex]

2. Then you multiply 7 two times and get - 49... So then you have -49+4(-7)-3

3. Then you multiply the 4 and -7 and get -29... So now you have -49+(-29)-3

4. Then you add -49 and -29. but keep the negative and get -77... so now you have -77-3

5. Then you add -77-3 but keep the negetive and get -80.

I hope this helps... have a wonderful day.

Answer:

discount = price times % off

discount = 22.50 x 0.20

discount = $4.50

Step-by-step explanation: