find three consecutive even integers for which -4 times the sum of the first and third is 192

Answers

Answer 1

Answer:

-26-24-22

Step-by-step explanation:

Let x be the smallest number (first)

Let (x + 2) be the second number (second)

Let (x + 4) be the greatest number (third)

Set equation according to the given information

-4 [x + (x + 4)] = 192

Simplify parentheses

-4 [x + x + 4] = 192

-4 [2x + 4] = 192

Expand bracket and apply the distributive property

(-4) · 2x + (-4) · 4 = 192

-8x - 16 = 192

Add 16 on both sides

-8x - 16 + 16 = 192 + 16

-8x = 208

Divide -8 on both sides

-8x / -8 = 208 / (-8)

[tex]\boxed{x=-26}[/tex]

Find the value of the second term

x + 2 = (-26) + 2 = [tex]\boxed{-24}[/tex]

Find the value of the third term

x + 4 = (-26) + 4 = [tex]\boxed{-22}[/tex]

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

1. Is (2, 4) a solution to the equation
y = x - 2?
1 . yes
2 . no ?​

Answers

no.......................

If g( 2x + 1) = 4x-3 then find f(x) and f(-2).​

Answers

Answer:

Dont know if this is correct but:

f(x) = 4x-3

f(-2) = 4(-2)-3

f(-2) = -11

Step-by-step explanation:

HELP PLEASE ITS DUE TONIGHT “Find the measure of angle B”

Answers

Answer:

43°

im sure the answer is correct

Answer:

m∠b = 43°

Step-by-step explanation:

The image shown shows vertical angles. By the definition of vertical angles, quote:

"Angles opposite of each other when two lines cross are always equal", therefore, if one of the vertical angles is 43°, that implies that m∠b = 43°, by definition of vertical angles.

~

**Answers needed fast**

Answers

Answer:

a) 1000 = 10^3= 10*10*10

b) 100*100= 10^4 = 10*10*10*10

Step-by-step explanation:

Answer:

a.   10^3        =10*10*10

b.   10^4        =10*10*10*10

In the similarity
transformation of AACB
to AEFD, AACB was dilated by
a scale factor of [?], reflected
across the [ ], and moved
through the translation [ ].
HELP HELP HELO NOW NOW PLEASE ILL GIVE BRAINLEISTETWBEBEJHEUEJ

Answers

Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units

What is graph transformation?

The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.

Graphs can be extended, rotated, inverted, or any combination of these transformations; they can also be translated or moved along the xyxy plane. The formulas "move the function f(x)f(x) by cc units in some direction," "stretch the function f(x)f(x) by cc units," and "rotate the function f(x)f(x) by xx units about the xx-, yy-, or zz-axis" are frequently used in mathematical issues. In every instance, the transformation has specific, calculable effects on the underlying function.

Since the triangle ABC and DEF is similar

So we can write,

DE/BC=EF/AB=FD/CA

scale factor =Length of CA/length of DF

                     =6/3

                      =2:1

Reflected at y axis i.e x=0

and raised by 2 units.

Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units

Learn more about graph transformation,

https://brainly.com/question/4025726

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Please someone help I’m stuck with this question please help and show work please

Answers

Answer:

I would think A.

Step-by-step explanation:

Let me explain real quick. A basically states the possible weights, or the y of the function, which include serving size and full bag. B is full numbers which cannot be used in a bag. C and D look like they would he in a perfect form however they are not showing the possible weights for both serving and bag.

Find the unknown sizes of the angled.​

Answers

Step-by-step explanation:

c = 65(being vertically opposite angle)

a + 65 = 180 (being linear pair)

so, a = 115

b = a(being vertically opposite angle)

so, b = 115

Answer:

[tex]thank \: you[/tex]

Which interval notation represents the set of all numbers greater than or equal to -8
and less than or equal to -3?
Plz help ASAP

Answers

a is the right answer

(b) True or False?
Statement
True False
Х
Some rational numbers are not whole numbers.
o
Some irrational numbers are integers.
All integers are rational numbers.
o
No irrational numbers are whole numbers.
o

Answers

Answer:

I put the answers in order.

True

False

True

False

(Hope this helped☺️! )

state the reasons which is following pairs are equal

Answers

Answer: sorry would have answered if there was a picture attached to it

COULD A KIND SOUL PLEASE PLEASE PLEASE HELP ME???!!!!!!!!!!!

triangle RST is reflected across the line y = x to form triangle R’S’T’. Find the coordinates of the points R’, S’ and T’.

show how you go the answer so I can see if it makes sense!!!

Answers

Answer:

R=(-1,2), T=(-7,4) S=(-2,8)

Step-by-step explanation:

The line y=x is a diagonal line veering to the left, since I can't draw it I'll give you a link on an actual digram of a triangle getting reflect across y=x. But, I just like to do this, if for example Q=(10,-3), I just exhange the negative sign to the left, so it would equal Q"=(-10,3) (Q" means the new modified Q).

The link thingy=https://www.quora.com/What-does-it-mean-to-reflect-over-the-y-x-line

Hopes this helps (:

what expression is equivalent to (1/16)^-4

Answers

16^4  Hope this helps.

Answer:

16 ⁴

Step-by-step explanation:

use a -n= (1/a)n

(1/16 - ⁴= ( 16/ 1 )

=16 ⁴

Which choice is equivalent to the product below when x > 0?
Square root of 2/x time square root of x^2/8

Answers

Answer:

A.

[tex] \sqrt{x } \div 2[/tex]

is the answer

The choice which is equivalent to [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex] is given by (A) [tex]\frac{\sqrt{x}}{2}[/tex].

What is expression?

Expression is a mathematical term that involves variables, numbers and other mathematical quantities and operations or combinations of them.

The given expression is [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex]

Calculating the expression we get,

[tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}=\sqrt{\frac{2}{x}\cdot\frac{x^2}{8}}=\sqrt{\frac{x}{4}}=\frac{\sqrt{x}}{2}[/tex]

So the expression equals to [tex]\frac{\sqrt{x}}{2}[/tex].

Hence the correct option is (A).

Learn more about Expression here -

https://brainly.com/question/723406

#SPJ2

what is the answer to this equation. x-8/3=3

Answers

Answer:

x  −  1  ⋅  8 /3  =  3

Solve

Step-by-step explanation:

Multiply the numbers

x−1⋅3/8​=3

x - 3/8 = 3

Add  8 /3  to both sides of the equation

− 8 /3 = 3

x−3/8​=3+ 8/ 3 = 3

Simplify

Solution

= 1 7/ 3

there you go hope this helped

Given g(x) = -5x + 5, solve for 2 when g(x) = 0.

Answers

Answer:

Step-by-step explanation:

g(x) = 0

0=-5x+5

5x=5

x=1

Answer:

x = 5

Step-by-step explanation:

given:

[tex]g(x) = -5x + 5[/tex]

solve for x, when:

[tex]g(x) = 0[/tex]

replace x with 0

~~~~~~~~~~~~

➡️ [tex] x = -5(0) + 5 [/tex]

➡️ [tex] x = 0 + 5[/tex]

➡️ [tex]x = 5 [/tex]

Where would 7 be located on the number line below

Answers

Answer:

we can check the position of √7 is btw p and q

because square of 2 is 4 while square of 6 is 36

and 7 lies btw 4 and 36 therefore √7 lies btw p and Q

Answer:

OPTION C BETWEEN P AND Q

As 7 is equals to 2.78approx.

Step-by-step explanation:

..

How is proportional reasoning used to interpret distances on maps?

Answers

Answer:

It shows how a dimension in a scale drawing is related to the actual object. A map is a scale drawing. The measurements on a map are in proportion to the actual distances. If 1 inch on a map equals an actual distance of 2 miles, the scale is 1 inch = 2 miles

hope it helped!

find the product of
[tex]63 \times 0 \times ( - 7)[/tex]

Answers

Answer:

0

Step-by-step explanation:

63 * 0 is 0. 0 * (-7) is also 0.

Anything multiplied by 0 is 0, no matter how big the number is, or how many numbers there are.

Hope this helps :)

You are going to have a swimming pool put your back yard this summer. The dimensions of the pool are going to be 15 ft by 30 ft. There is going to be a concrete walkway around the outside of the pool, but they are not sure how wide it will be. The design of the pool, including the walkway, is shown below.

Answers

The perimeter of a shape is the sum of the all visible side lengths of the shape. The perimeter of the pool including the walkway is 90 + 8x

Given that:

[tex]Length = 15[/tex]

[tex]Width = 30[/tex]

Let the width of the walkway be x.

The dimension of the pool including the walkway is calculated by adding the dimension of the pool to the width of the walkway (on both sides):

So, we have:

[tex]Length = 15 + x + x[/tex]

[tex]Length = 15 + 2x[/tex]

[tex]Width = 30 + x + x[/tex]

[tex]Width = 30 + 2x[/tex]

The perimeter (P) of the walkway is then calculated using:

[tex]P = 2 \times (Length + Width)[/tex]

This gives:

[tex]P = 2 \times (15 + 2x + 30 + 2x)[/tex]

Collect like terms

[tex]P = 2 \times (15 + 30+ 2x + 2x)[/tex]

[tex]P = 2 \times (45+ 4x)[/tex]

Open brackets

[tex]P = 2 \times 45+ 2 \times 4x[/tex]

[tex]P = 90+ 8x[/tex]

Hence, the perimeter of the pool including the walkway is 90 + 8x (see attachment)

Read more about perimeters at:

https://brainly.com/question/6465134

Suppose the function E(c) represents the earnings of a volleyball team from selling c cupcakes. They are selling each cupcake for $2. They only bought enough supplies to make 100 cupcakes. Describe an appropriate domain and range of this function using interval notation.

Answers

Using domain and range concepts, it is found that:

An appropriate domain for the function is: [tex]c \in [0,100][/tex]An appropriate range for the function is [tex]E \in [0,200][/tex].

------------------------------

The domain of a function are the values that the input can assume.The range of a function are the values that the output can assume.

------------------------------

The function E(c) represents the earnings of selling c cupcakes.The input is the number of cupcakes sold c.The output is the earnings E.

------------------------------

They have enough supplies to make 100 cupcakes, thus, at most 100 cupcakes can be sold, meaning that an appropriate domain for the function is: [tex]c \in [0,100][/tex]If no cupcakes are sold, the earnings will be of $0. If all 100 cupcakes are sold, the earnings will be of $200, as each is sold for $2, meaning that an appropriate range for the function is [tex]E \in [0,200][/tex].

A similar problem is given at https://brainly.com/question/2145599

−7x−9 - -4x^2+3x-5−4x

Answers

Answer:

4[tex]x^{2}[/tex] − 8 − 14

Step-by-step explanation:

1. Simpify

2. Subtract the numbers

3. Combine like terms

4. last but not least rearrange the terms

Hope this helped :)

If the linear function is f(x) = 3x + 10, then the value of 3 could represent:

O The initial investment.
O The starting point.
O None of these choices are correct.
O The average change.
O The line of reflection.

Answers

Answer:

3 is the gradient ryt?

Step-by-step explanation:

so Ummm C?

How many 10- digit number are restricted in the Atlanta area

Answers

Answer:

320,400

Step-by-step explanation:

80,100 restricted numbers x 4 area codes

From a tap 60 ml of water is leaked within 5 minutes. Find the wasted amount of water within 2 hours from this tap​

Answers

Answer:

1440 mL

Step-by-step explanation:

2 hours = 120 minutes

120/5 = 24

24 * 60 = 1440

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Ari lives 4/5 of a mile from the park she has already walked 3/4 of the way to the park. How far has ari walked

Answers

3/4 of 4/5 = 3/4 x 4/5 = 12/20 = 3/5 of a mile (= 1056 yards)

Write -9-(-6) using addition

Answers

-9+6 =-3 , negative times negative is positive
Negative×negative=positive
∴-9-(-6)=-9+6=-3

Hope my answer helped u :)

URGENTTTT PLS PLS PLS PIFHCHIDFCHI. How do you write 5x^2-14-3x2 in standard form?

Answers

5x^2-3x^2= 2x^2

2x^2-14

2(x^2-7)

A triangular park has sides 80m, 64m and 48m.​

Answers

Answer:

If your trying to find the perimeter it's 192.

What are the coordinates of A' after a 180 degree rotation about (-5, 3)?

Answers

Answer: (5,3)

Step-by-step explanation:

A 180 degree rotation will take you to sector b which is (+,+), so I knew it was going to be positive.

Hello good student.


-5,3)
(+5,-3)

Multiply five and four-sevenths negative two and two-fifths .

A negative ten and eight thirty-fifths
B ten and eight thirty-fifths
C negative thirteen and thirteen thirty-fifths
D thirteen and thirteen thirty-fifths s

Answers

Answer:

C!!!!

Step-by-step explanation:

i just worked out the equation by turning them into proper fractions and multiplying! hope this helped, have a nice day <3

Answer:

The answer is C.

negative 13 and 13 over 35

Eliminating a negative and changing our operation.

=5 4/7 − 2 2/5

Rewriting our equation with parts separated

=5 + 4/7 − 2 − 2/5

Solving the whole number parts

5−2=3

Solving the fraction parts

4/7 − 2/5 = ?

Find the LCD of 4/7 and 2/5 and rewrite to solve with the equivalent fractions.

LCD = 35

20/35 − 14/35 = 6/35

Combining the whole and fraction parts

3 + 6/35 = 36/35

Solution by Formulas

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

39/7 + −12/5

Applying the fractions formula for addition,

=(39×5)+(−12×7)/7×5

=195 + −84/35

=111/35

=36/35

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