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3 years ago

11. Solve for x 3x + 3 − x + (−7) > 6 A. x > 5 B. x > (−5) C. x < 5 D. x > 2.5

Mathematics

2 answers:

lara31 [8.8K]3 years ago

8 0

3x + 3 - x -7 is greater than 6.

2x - 4 is greater than 6.

2x is greater than 10.

x is greater than 5.

Hence, the answer is (A).

Aneli [31]3 years ago

7 0

Answer:

A. x > 5

Step-by-step explanation:

We have been given the inequality;

3x + 3 − x + (−7) > 6

The first step is to collect the like terms;

3x-x+3-7>6

2x-4>6

2x>6+4

2x>10

x>5

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Step-by-step explanation:

Evaluate for x=2,y=−4

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3 years ago

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Answer:

82,300

Step-by-step explanation:

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3 years ago

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13. Given the volume, V, of the rectangular prism below, find h, the height of the prism. V = (x ^ 2 + 2x)/(x + 1) l= 2x + 4 w=

NikAS [45]

Given:

Volume of a rectangular prism is:

$V=\dfrac{x^2+2x}{x+1}$

Dimensions of the rectangular prism are:

$l=2x+4$

$w=\dfrac{x}{8}$

To find:

The height of the rectangular prism.

Solution:

The volume of a rectangular prism is:

$V=l\times w\times h$

After substituting the values, we get

$\dfrac{x^2+2x}{x+1}=(2x+4)\times \dfrac{x}{8}\times h$

$\dfrac{x(x+2)}{x+1}=\dfrac{2x(x+2)}{8}\times h$

$\dfrac{x(x+2)}{x+1}\times \dfrac{8}{2x(x+2)}=h$

$\dfrac{1}{x+1}\times \dfrac{8}{2}=h$

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Therefore, the correct option is C.

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3 years ago

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alexandr402 [8]

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3 years ago

0 Example: Loan payments of $400 due 95 days ago and $700 due today

guapka [62]

Answer:

$X=\$519.48$

Step-by-step explanation:

From the question we are told that

Loan 1 $X_1=\$400$

Loan 1 due $t_1=95days$

Loan 2 $X_2=\$700$

Loan 2 due $t_2=0days$

Payment $Y=\$600$

Worth of money $w=6\%$

Payment due $t=30days$

Focal date $t_f=125days$

Generally $\$400$ was due 95days ago

Therefore

$125+90=220days$ (total days to consider)

Therefore

$300+400 =700$ is due today

125days left

Given

600 due in 30days

$125-30=95days$

Generally the Final payment is mathematically given by

$400(1+ 0.06*\frac{220}{365} ) + 700(1+0.06*\frac{125}{365} )=600(1+0.06*\frac{95}{365} )+X$

$X=1128.9692 - 609.3698$

Therefore the

$X=\$519.48$

3 0

3 years ago