image Which absolute value equation represents the graph? Question 7 options: A) ƒ(x) = –|3x| – 5 B) ƒ(x) = 5|x| – 3 C) ƒ(x) = |5x – 3| D) ƒ(x) = 3|x – 5|

Answer:

  k = -1/2 or 2

Step-by-step explanation:

For equations ...

  ax +by +c = 0

  dx +ey +g = 0

Cramer's Rule tells you the solutions are ...

  x = (-ce +gb)/(ae -db)

  y = (-ga +dc)/(ae -db)

In order for these equations to be consistent, the solution for any pair of them must be the same. It is sufficient for us to find 'k' such that the values of x are the same.

__

first and third equations

  x = (-1·7 +1·(k+1))/(1·7 -3·(k+1)) = (k -6)/(4-3k)

second and third equations

  x = (3·7 +1·5)/(2k·7 -3·5) = 26/(14k -15)

__

For these values to be the same, we must have ...

  (k -6)/(4-3k) = x = 26/(14k -15)

  (k -6)(14k -15) = (4 -3k)(26) . . . . . cross multiply

  14k² -99k +90 = -78k +104 . . . . . simplify

  14k² -21k -14 = 0 . . . . . . . . . . . . . put in standard form

  7(2k +1)(k -2) = 0 . . . . . . . . factor

The solutions are the values of k that make the factors zero: k=2, k=-1/2.

These equations will be consistent if k = -1/2 or k = 2.

_____

Additional comment

Using our above expression for x, we can find the value of x for the solution x = -1/2 to be ...

  x = 26/(14(-1/2) -15) = 26/(-22) = -13/11

The first equation tells us the corresponding value of y will be ...

  x +(-1/2 +1)y +1 = 0

  y = -2(x+1) = -2(-13/11 +11/11) = 4/11

For k = -1/2, (x, y) = (-13/11, 4/11).

The attached graph shows the solution for k=2.

For k = 2, (x, y) = (2, -1).

Answer:

64 mm^2

Step-by-step explanation:

The area of the rectangles is calculated by multiplying width and length:

for the bigger rectangle:

12*48 = 576 mm^2

for the smaller rectangle:

4*16 = 64 mm^2

Answer:

1/12 inches

Step-by-step explanation:

1/2 = 6/12

then:

7/12 - 1/2

is equivalent to:

7/12 - 6/12 = (7-6)/12

= 1/12

Answer:

Hundred thousands place.

Answer:

In this case the number 7 would be located in the hundreds of thousands.

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I hope help you :)

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Answer:

The change in expected height for every one additional centimeter of femur length.

Step-by-step explanation:

The slope represents how the value along the y axis is affected by the value along the x axis. So if x = femur length and y = expected height,

the slope is how the expected height is affected by the femur length.

The interest rate you are earning on a bond that has a face value of $1000, a price of $950 and a coupon of $50 is 5.42%

The interest rate is the rate of return on the bond given its face value, coupon payments and price.

Interest rate can be determined using a financial calculator:

Interest rate = 5.42%

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Answer:

1/10 or 10%

Step-by-step explanation:

Probability of choosing one correct response: (2 correct options, 5 choices)

2/5

Once we've chosen one correct response, there are 4 options left, one of which is correct:

1/4

2/5 * 1/4 = 2/20 = 1/10

Hope this helps <3

Answer:

It is equally likely for 1, 2, 3, or all to be correct so probability is 1/4

Step-by-step explanation:

Toltal ways in which 2 options can be correct is (42), which is 6. Out of these only 1 is correct. So probability of selecting correct answer is 1/6. Since he has 5 chances the probability of getting marks is 1−(56)5. hope this helps if not let me know have a nice day

The chance of on-time assignment submission if it is a chemistry assignment is insufficient data.

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.

We have,

The probabilities by subject of on-time assignment submission and on-time arrival to class.

Before we can estimate the likelihood of interest, we must first know how many assignments are assigned in each class.

In physics, there were 25.1% of the on-time assignments, assuming that each class had the same number of assignments.

Here, we have insufficient data to find the on time submission.

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Answer:

275.

Step-by-step explanation:

If you convert 2m into CM you get 200.
If you convert 275 cm into M you get 2.75. So 275cm is bigger.

Answer:

B,D, and E

Step-by-step explanation:

it's 15% so it would have to be either as a fraction or decimal answer B is a fraction. And D and E are both decimals so you add your percent to your p which is something.

The expressions A, D, and E represent the total cost of the meal and the tip.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The cost of the meal plus the tip is equal to the cost of the meal plus 15% of the cost of the meal. It can represent this in several ways:

A. 1.15p

D. p + 0.15p

E. p + 1.15p

All of these expressions represent the total cost of the meal and the tip.

Option B, 100P/15, does not represent the total cost of the meal and the tip.

Option C, p + 15, represents the cost of the meal plus a flat fee of 15 dollars, not 15% of the cost of the meal, so it does not represent the total cost of the meal and the tip.

Therefore, the correct answers are A, D, and E.

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Answer:

y = 1.4x - 4.6

hope this helped :)

Answer:

[tex]x = -12[/tex]

Step-by-step explanation:

Step 1:  Add 1/4x to both sides

[tex]-\frac{1}{4}x - 12 = x + 3[/tex]

[tex]-12 - \frac{1}{4}x + \frac{1}{4}x = x + 3 + \frac{1}{4}x[/tex]

[tex]-12 = \frac{5}{4}x + 3[/tex]

Step 2:  Subtract 3 from both sides

[tex]-12 - 3 = \frac{5}{4}x + 3 - 3[/tex]

[tex]-15 = \frac{5}{4}x[/tex]

Step 3:  Multiply both sides by 4/5

[tex]-15*\frac{4}{5}=\frac{5}{4}x * \frac{4}{5}[/tex]

[tex]-12 = x[/tex]

Answer:  [tex]x = -12[/tex]

Answer:

40 bottles

Step-by-step explanation:

6liters=6000ml so I do 6000/150=40.Therfore 40 bottle of 150ml can fill a bottle wth 6 literes

AND SORRY FOR BAD GRAMMAR BUT I HOPE IT HELPS!!

Answer:

Step-by-step explanation:

First, move the -11/4 to the other side, so the expression can equal 0.

[tex]x^2+6x+11/4=0[/tex]

To make the equation easier to work with, multiply both sides by 4, cancelling out the fraction.

[tex]4x^2+24x+11=0[/tex]

There are many ways to solve a quadratic equation (factoring, quadratic formula, completing the square).

Solving this equation by factoring is the easiest. Factoring with a leading coefficient greater than one can be difficult and there are many ways to accomplish it. The way I'm going to do it is to first find the factors of [tex]4x^2[/tex] and then the factors of 11. And then multiply across, add the middle terms (derived from multiplying) and try to make it equal 24x.

[tex]4x^2[/tex]:      24x         11:

2x         22x          11

2x           2x            1

           24x (works)

I'll then take the factors diagonal. (2x+1)(2x+11)=0

So [tex]x=-\frac{1}{2}, -\frac{11}{2}[/tex]

Answer:

Your answer is $19.06

Step-by-step explanation:

You have to multiply the money by the decimal. In this case 14.55 by 31% (0.31 basically), and then add that to the original price.

Answer:

The Correct Answer is C.0.

Hope it hepls you Czn!

Please Mark me as Brainleast!!!!!!!!

Answer:

tanA=28/45

Tan(A) =Y/X or Opposite/ Hypotenuse

Step-by-step explanation:

A=2πr(r+h)

A=6.28×14mm(+29mm)

A=77.92(14mm+29mm)

A=77.92×43

A=3350.56 mm

Hope it helps

KC

Answer:

Simone is 16 and Olivia 12 years old.

Step-by-step explanation:

"Simone is four years older than her sister Olivia."

(1) Simone age = Olivia age + 4

"Their combined ages is 28."

(2) Simone age + Olivia age = 28

→ We can substitute from the first equation (1) Simone age with Olivia age + 4 into the second equation (2)

        Simone age + Olivia age = 28

      Olivia age + 4 + Olivia age = 28, subtract 4 from both sides

   Olivia age -4 +4 + Olivia age = 28 - 4

                            2· Olivia age  = 24 , divide both sides by 2

                               Olivia age = 24/2

                               Olivia age = 12 years old

→ From the first equation (1) we have:

Simone Age = Olivia age + 4 = 12 + 4 = 16 years old

Check our answer:

"Their combined ages is 28 "

12 + 16 = 28 ✅

Answer:

5 feet long and 1 foot long and vise versa.

Step-by-step explanation:

Answer:

A. $1 less

Step-by-step explanation:

24 divided by 8 (unit rate) = $3

28 divided by 7 = $4

4-3=1

Answer:

[tex]csc(3\pi ), sec(\frac{-\pi}{2})[/tex]

The Undefined term is csc(3pi) and  sec(-pi/2) .

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

As, Cosecant is the reciprocal of sine, so the cosecant of any angle x for which sin x = 0 must be undefined, since it would have a denominator equal to 0. The value of sin (pi) is 0, so the cosecant of pi must be undefined.

Thus, csc(3pi) is undefined

and, the value of The value of cos (pi/2) is 0, so the secant of (pi)/2 must be undefined.

Thus, sec(-pi/2) is also undefined.

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Answer:

926.35

Step-by-step explanation:

first find 9.5% x $845.98

=$80.37

then add $845.98 to $80.37

= $926.35