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1 year ago

Which of the following shows a correct solution process for │ x + 8│- 5= 2?

Mathematics

2 answers:

natka813 [3]1 year ago

4 0

Answer:

see below

Step-by-step explanation:

│ x + 8│- 5= 2

Add 5 to each side

│ x + 8│- 5+5= 2+5

│ x + 8│= 7

The absolute value has two solutions, a positive and a negative

x+8 = 7 x+8=-7

Subtract 8 from all sides

x+8-8 = 7-8 x+8-8 = -7-8

x = -1 x = -15

Vilka [71]1 year ago

3 0

X1=-15
X2=-1
I think this is the answer

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2(a³+b²+11)+1(3+a³+b+11)

Ann [662]

Answer:

$2(a^3+b^2+11)+1(3+a^3+b+11)=3a^3+2b^2+b+36$

Step-by-step explanation:

I assume that you need simplification of the given expression.

The given expression is:

$2(a^3+b^2+11)+1(3+a^3+b+11)$

Using distributive property and multiplying 2 inside the parenthesis and 1 inside the other parenthesis. This gives,

$2(a^3+b^2+11)=2\times a^3+2\times b^2+2\times 11\\2(a^3+b^2+11)=2a^3+2b^2+22\\\\1(3+a^3+b+11)=1\times 3+1\times a^3+1\times b+1\times 11\\1(3+a^3+b+11)=3+a^3+b+11=a^3+b+14$

Therefore, $2(a^3+b^2+11)+1(3+a^3+b+11)$ is equal to:

$2a^3+2b^2+22+a^3+b+14$

Now, combining like terms using the commutative property of addition, we get:

$=(2a^3+a^3)+2b^2+b+(22+14)\\=3a^3+2b^2+b+36$

Therefore, the simplified form is $3a^3+2b^2+b+36$

8 0

3 years ago

If a car can go 33 miles on a gallon of gas, how much gas will it use for 198 miles?

Anni [7]

Just do 198 divide by 33. The answer is how much gas will be used.

7 0

3 years ago

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If the side length of square ABCD is four times the side length of square PQRS, which statement is true?

lyudmila [28]

Answer:

i think the answer is A

Step-by-step explanation:

Because it says four times and 4 times 4 =16

sorry tried my best(don't write this part down)lol

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3 years ago

Please help asap will give 20 pts, brain, 5 star and thanks [must include sbs]

stiks02 [169]

61+58=119
180-119=61=angle 2
180-61=119=angle 4

6 0

2 years ago

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Steel rods are manufactured with a mean length of 29 centimeter (cm). Because of variability in the manufacturing process, the l

zavuch27 [327]

Solution :

Given data :

The mean length of the steel rod = 29 centimeter (cm)

The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)

a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).

Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)

= P(z < -1.42)

= 0.0778

b). Any rods which is shorter than $24.84$ cm or longer than $25.16$ cm that re discarded.

Therefore,

P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)

= 1.052

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2 years ago