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3 years ago

FREE BRAINLIEST!!!!!!

Mathematics

1 answer:

vivado [14]3 years ago

7 0

Let's solve the first inequality at first. So,

−2(x + 4) + 10 < x − 7

-2x- 8 + 10 < x - 7 By distribution property.

-2x + 2 < x - 7 Adding the like terms.

-2x < x - 7 - 2 Subtract 2 from each sides.

-2x < x - 9 By simplifying.

-2x - x < -9 Subtract x from each sides.

-3x < -9

$-\frac{3x}{3}$

Since we are dividing by negative 3. So, sign of inequality will get change.

So, x>3

Now the next inequality is,

−2x + 9 > 3(x + 8)

-2x + 9 > 3x + 24

-2x > 3x + 24 - 9

-2x > 3x + 15

-2x - 3x > 15

-5x >15

$-\frac{5x}{-5} >\frac{15}{-5}$

So, x <-3

Hence, the correct choice is x > 3 or x < −3.

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Drew has 50 red,green,and blue marbles. he has six more red marbles than blue marbles and four fewer green marbles than blue mar

astraxan [27]

Red = r

Blue = b

Green = g

Step 1: Write as algebraic equations.

r = b + 6

g = b - 4

Step 2: Merge the two equations together to form one, by adding them together.

r + g = b + b + 6 - 4

Step 3: Simplify.

r + g = 2b + 2

Step 4: Make b the subject.

2b + 2 = r + g

2b = r + g - 2

b = 0.5(r + g - 2)

ANSWER

b = 0.5(r + g - 2)

3 0

3 years ago

Find the value of x in each case:

kotykmax [81]

9514 1404 393

Answer:

x = 14°

Step-by-step explanation:

The triangle's interior angle at C is the supplement of the exterior angle marked 124°.

C = 180° -124° = 56°

The exterior angle at B is the sum of the remote interior angles:

6x = 56° +2x

4x = 56° . . . . . . subtract 2x

x = 14° . . . . . . . . divide by 4

6 0

2 years ago

Round each number to the place of the underlined digit the 4 is underlined in 324,650

Otrada [13]

Answer: my bad 324,000 isnt the answer. Its 325,000

Step-by-step explanation:

4 0

3 years ago

Analyze the graph h(x).

Dominik [7]

Answer:

D h(x) = f(x)×g(x)

Step-by-step explanation:

h(x) has a wave with 2 changes in direction.

so, this needs to be an expression of the third degree (there must be a term with x³ as the highest power of x).

and that is only possible when multiplying both basic functions. all the other options would keep it at second degree (x²) or render it even to a first degree (linear).

8 0

2 years ago

A survey of 90 men found that an average amount spent on St. Patrick's day of $55 with a standard deviation of $18. A similar su

dem82 [27]

Answer:

The value of the test statistic is 4.70.

Step-by-step explanation:

The hypothesis for this test can be defined as follows:

H₀: Men do not spend more than women on St. Patrick's day, i.e. μ₁ = μ₂.

Hₐ: Men spend more than women on St. Patrick's day, i.e. μ₁ > μ₂.

The population standard deviations are not known.

So a t-distribution will be used to perform the test.

The test statistic for the test of difference between mean is:

$t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }$

Given:

$\bar x_{1}=55\\s_{1}=18\\n_{1}=90\\\bar x_{1}=44\\s_{1}=16\\n_{1}=86$

Compute the value of the test statistic as follows:

$t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }=\frac{55-44}{\sqrt{\frac{15^{2}}{90}+\frac{16^{2}}{86} }}=4.70$

Thus, the value of the test statistic is 4.70.

7 0

3 years ago