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adelina 88 [10]
3 years ago
13

What is the solution to the inequality -.4x-1.2 >.8

Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0

Answer:

x < -1

Step-by-step explanation:

Solve -.4x-1.2 >.8 for x.

Start by adding 1.2 to both sides, to isolate -0.4 x:

-0.4x > 0.4

Divide both sides by -0.4, remembering the reverse the direction of the inequality sign:

x < -1

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Which expression is the product of (x + 4i)(x − 4i)(x + 4)?
Sophie [7]
Answer= x³+4x²+16x+64

Expand the following:(x + 4 i) (x - 4 i) (x + 4)
(x - 4 i) (x + 4) = (x) (x) + (x) (4) + (-4 i) (x) + (-4 i) (4) = x^2 + 4 x - 4 i x - 16 i = -16 i + (4 - 4 i) x + x^2:
-16 i + (-4 i + 4) x + x^2 (4 i + x)
 | | | | x | + | 4 i
 | | x^2 | + | (4 - 4 i) x | - | 16 i
 | | | | (-16 i) x | + | 64
 | | (4 - 4 i) x^2 | + | (16 + 16 i) x | + | 0
x^3 | + | (4 i) x^2 | + | 0 | + | 0
x^3 | + | 4 x^2 | + | 16 x | + | 64:
Answer: x^3 + 4 x^2 + 16 x + 64
7 0
3 years ago
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Name the property of equality that justifies the following statement
ruslelena [56]
This is subtraction property of equality.
Answer:B)
5 0
3 years ago
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $2.25 and each s
JulsSmile [24]

The required equations are use to solve this problem;

x + y =126

2.25x + 1.50y = 223.75

There are x = 49 hot dogs, and y = 77 sodas were sold.

Given that,

Each hot dog costs $2.25 and each soda costs $1.50.

At the end of the night, you made a total of $225.75.

You sold a total of 126 hot dogs and sodas combined.

We have to determine,

What equations did you use to solve this.

And How many hot dogs were sold and how many sodas were sold.

According to the question,

Let, The x represent the number of hot dogs,

And y represent the number of sodas.

Then,

You sold a total of 126 hot dogs and sodas combined.

Number of sell hot dogs + number of sell sodas = Total of hot dogs and sodas combined.

x + y =126

And Each hot dog costs $2.25 and each soda costs $1.50.

At the end of the night, you made a total of $225.75.

Then,

Cost of each hot dogs + cost of each soda = total earning end of the night

2.25x + 1.50y = 223.75

On solving both the equation,

x + y = 126\\\\x = 126-y

Substitute the value of x in the equation 2,

=2.25(126-y) + 1.50y = 225.75\\\\= 283.5 -2.25y + 1.50y = 225.75\\\\= -  0.75 y = 225.75 - 283.5\\\\=   - 0.75y   = -57.75\\\\= y = \dfrac{-57.75}{-0.75}\\\\= y = 77

Then,

Substitute the value of y in the equation 1,

x + y = 126\\\\x + 77 = 126\\\\x = 126-77\\\\x = 49

Hence, There are x = 49 hot dogs, and y = 77 sodas were sold.

To know more about the Equation click the link given below.

brainly.com/question/24070713

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3 years ago
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Find the length of the missing side. The triangle is not drawn to scale.
suter [353]

Answer:

D.) 8

Step-by-step explanation:

You can use the Pythagorean theorem because this is a right triangle:

a^2+b^2=c^2

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it  is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.

Fill in values:

a^2+15^2=17^2

Simplify exponents:

a^2+225=289

Isolate the variable. Subtract 225 from both sides:

a^2+225-225=289-225\\a^2=64

Find the square root of both sides:

\sqrt{a^2}=\sqrt{64}\\  a=8

The missing leg length is 8.

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Fill in the blank. Given O below, you can conclude that OH is congruent to _____.
pishuonlain [190]

Answer:

(A) OE

Step-by-step explanation:

From the given figure, it can be seen that TG and LI are the chords of the circle with center O such that TG=LI=10.4 which means that TG is congruent to LI.

Also, OE and OH gives the shortest distance(perpendicular) of the chord LI and TG respectively from center of circle O.

And, We know that "the congruent chords are equidistant from the center of a circle."

Therefore, we can conclude that, OH is congruent to OE.

Hence, option (A) is correct.

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3 years ago
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