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blagie [28]
3 years ago
9

The sum of twice a number and 5 is at most 15

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0
2x +5=15
-5 -5

2x = 10
2 2 divide

Answer x=5
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Solve the following inequality for w then simplify <br> -w+9&gt;6w+8
Alla [95]

Answer:

\displaystyle (-\infty,\frac{1}{7})

Step-by-step explanation:

<u>Inequalities</u>

To solve the inequality:

-w+9>6w+8

We need to perform the required operations on both sides of the inequality to have the variable w isolated.

First, we subtract 9:

-w+9>6w+8

-w>6w+8-9

Subtracting 6w:

-w-6w>+8-9

Operating:

-7w>-1

Now we divide by -7 but recall that when dividing by a negative number, we must flip the inequality sign:

\displaystyle w

Operating:

\displaystyle w

Solution:

\mathbf{\displaystyle (-\infty,\frac{1}{7})}

4 0
3 years ago
Long rationalise surds questions <br>pls help​
Katena32 [7]

Answer:

Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.

Step-by-step explanation:

Noah had to rationalize the denominator of \frac{32}{5-\sqrt{7}}

According to him,

\frac{32}{5-\sqrt{7} = \frac{32(5+\sqrt{7}{(5-\sqrt{7})(5+\sqrt{7}

Solving the nominator and denominator

= \frac{160-32\sqrt{7}}{25+5\sqrt{7}-5\sqrt{7}-7}

Noah did correctly till this point.

In the next step he add 25 and 7 in the denominator, whereas, it should be subtracted.

Hence,

Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.

3 0
2 years ago
No explanation required, just a quick answer please!
hram777 [196]
The answer to the question

4 0
3 years ago
Simplify (5x^2 -3x+3) - (x^2+2x-1).
Natali [406]
Eliminate parenthesis by using the distribution property

= 5x² -3x +3 - x² - 2x +1

Group similar terms

= (5-1)*x² + (-3 -2)*x + (3+1)

Then sum everything:

= 4x² -5x +4





7 0
3 years ago
Read 2 more answers
Hunter took out a $3500 loan with interest to pay for some business supplies. He will repay The loan and three years with monthl
almond37 [142]

Answer: $448.48

Step-by-step explanation:

The amount Hunter will pay in total is;

= 109.68 * 12 months * 3 years

= $‭3,948.48‬

Interest he will pay = Amount paid - Loan amount

= ‭3,948.48‬ - 3,500

= $448.48

7 0
3 years ago
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