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3 years ago

The Sum of twice a number and 5 is at most 15. What are the possible values for the number?

2 answers:

6 0

Let's call that number x, twice the number will be 2x, sum of it and 5 is, 2x+5. So if this expression is at most 15, it means, it can be only less than 15 and equal to 15. Let's show this as an inequality.

$2x+5\le 15$

Let's solve.

$2x+5\le 15\\ \\ 2x\le 15-5\\ \\ 2x\le 10\\ \\ x\le \frac { 10 }{ 2 } \\ \\ x\le 5$

$x\quad \in \quad \left[ -\infty ,5 \right]$

If the number is a natural number. The values it can take is, $x\quad \in \quad \left[ 0,1,2,3,4,5 \right]$

Misha Larkins [42]3 years ago

5 0

5 10=15
3x5=15
so 3.5.10

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Which equation is represented by the table of values below

algol13

Answer:

Y= –4X+3

Step-by-step explanation:

Aight, check this out. the X and Ys are gonna form a linear equation.

Y=aX+b

3=a(0)+b===> b=3, so there you got for b

–1=a(1)+3===> a= –4

and the final touch

Y= –4X+3

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3 years ago

Help me pleasee , timed

solong [7]

Answer:

The second alternative is correct

Step-by-step explanation:

We have been given the expression;

$(x^{27}y)^{\frac{1}{3}}$

The above expression can be re-written as;

$(x^{27})^{\frac{1}{3}}*y^{\frac{1}{3}}\\\\(x^{27})^{\frac{1}{3}}=x^{27*\frac{1}{3}}=x^{9}$

On the other hand;

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Therefore, we have;

$x^{9}\sqrt[3]{y}$

6 0

3 years ago

Read 2 more answers

4. Kristina is allowed to have a friend sleep over every 3rd weekend,

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

You must find the least common multiple of their schedules.

The numbers 3 and 2 are their own prime factors, so the least common multiple of 3 and 2 is 6.

Six weekends must pass until they can both have someone over on the same night.

The number line below shows that the first time their sleepovers coincide is Week 6.

3 0

3 years ago

A Bank offers an annual simple interest rate of 8% on home improvement loans. Tobias borrowed $17,000 over a period of 2 years.

Alex17521 [72]

We first find out the amount in dollars of interest accrued after 2 years time.

Interest = Prt

where P is the principal, r is the rate and t is time

8% written in decimal fraction → 8/100 → 0.08

Interest = 17000 × 8% × 2

Interest = 1700 × 0.08 × 2

Interest = 2,720 dollars

We add the principal and the interest to get full amount paid, so:

17000 + 2,720 = 19,720

I hope that you good day

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3 years ago

Find the TWO integers whos product is -12 and whose sum is 1<br>

julsineya [31]

Answer:

$\rm Numbers = 4 \ and \ -3.$

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

$\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}$

Hence the numbers are 4 and -3

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3 years ago