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2 years ago

The sum of three consecutive even integers is -78, what are the integers ?

1 answer:

5 0

First, you need to analize and understand the problem, then you must choose and strategy. There is a wide variety of strategies to solve a mathematical problem, in this case, you can use the following, which is based on the information given above:
1. You have that the sum of three consecutive even integers is $-78$ , therefore, you can given the variable $x
$ to the first integer, the second even integer is $x+2$ and the third one is $x+4
$ .
2. Calculate x:
 $x+(x+2)+(x+4)=-78$ 
 $3x+6=-78$
 $x=-28
$ 
 $x+2=-28+2=-26
$ 
 $x+4=-28+4=-24
$ 
Therefore, the answer is: $-28,-26,-24
$

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if you horizontally shift the square root parent function, F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormu

Juli2301 [7.4K]

ANSWER

$g(x) = \sqrt{x + 4}$

EXPLANATION

The parent square root function is

$f(x) = \sqrt{x}$

The translation

$g(x ) = \sqrt{x + k}$

Will shift the graph of f(x) k units to left.

The translation

$g(x) = \sqrt{x -k}$

will shift the graph of f(x) to the right by k units.

Therefore if f(x) is shifted 4 units to the left its new equation is:

$g(x) = \sqrt{x + 4}$

7 0

2 years ago

Lauren made 15 cups of Juiceby mixing lemon juice and sugar water. The ratio of lemon juice to sugar water is 2:3. How many cups

balandron [24]

6 cups.
2/5 of the mixture would be lemon juice, and 2/5ths of 15 is 6

5 0

3 years ago

which expression simplifies to 41? choose all that apply! question 14 options: 10 2³ ∙ 4 - 1 10 2³ ∙ (4 - 1) (10 2³) ∙ 4 - 1 10

nordsb [41]

The expressions that simplifies to 41 are:

a) 10 + 2³ * 4 - 1

d) 10 + (2³ * 4) - 1

Information about the problem:

a) 10 + 2³ * 4 - 1

b) 10 + 2³ * (4 - 1)

c) (10 + 2³) * 4 - 1

d) 10 + (2³ * 4) - 1

We solve the equations respecting the level of hierarchy:

First the operations in parentheses, then brackets and finally braces.
Of the arithmetic operations, first the multiplication and divisions and then the additions and subtractions.

a) 10 + 2³ * 4 - 1

10 + 8*4 - 1

10 + 32 - 1

42 - 1

41 (it applies)

b) 10 + 2³ * (4 - 1)

10 + 8 * (3)

10 + 24

34 (it doesn't applies)

c) (10 + 2³) * 4 - 1

(10 + 8) * 4 - 1

18*4 - 1

72 - 1

71 (it doesn't applies)

d) 10 + (2³ * 4) - 1

10 + (8*4) - 1

10 + 32 -1

42 - 1

41 (it applies)

<h3>What are algebraic operations?</h3>

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

Learn more about algebraic operations at: brainly.com/question/3927786

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8 0

1 year ago

Lexi had 300 apples in her basket to sell if she dropped 122 apples on the ground she can't use them and sell them, and then aft

Andrew [12]

Answer:she has 120 apples left.

Step-by-step explanation:

Total number of apples that Lexi had in her basket to sell is 300.

If she dropped 122 apples on the ground because she can't use them and sell them, then the number of apples that she has left for sale is

300 - 122 = 178

If then after she sells 58 apples, the number of apples that she has remaining would be

178 - 58 = 120 apples

4 0

3 years ago

Solve the system of equations using substitution or elimination: x = 3y + 6 2x - 4y = 8

dem82 [27]

Answer:

x=0, y=-2

Step-by-step explanation:

Let x=3y+6 be equation 1

and 2x-4y=8 be equation 2

sub equation 1 into equation2,

2(3y+6)-4y=8

6y+12-4y=8

2y=-4

y=-2

sub y=-2 into equation 1,

x=3(-2)+6

x=0

sub is an abbreviation for substitute

5 0

2 years ago