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2 years ago

What is the least possible value of 8x-13 when 9 is less than or equal to 3/4 + x?

Mathematics

1 answer:

Kruka [31]2 years ago

6 0

The least possible value of 8x - 13 when 9 is less than or equal to 3/4 + x is;

53.

According to the question;

9<=3/4 + x.

Therefore,

9 -3/4 <= x

8 1/4 <= x

Therefore, x >= 33/4.

The least possible value of x is therefore, 33/4

The expression 8x -3 becomes;

8(33/4) -13

=66 - 13

= 53.

Therefore, the least possible value of 8x - 13 is;

53.

Read more;

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The quantities x and y in a ratio are called

lbvjy [14]

Answer:

The graph relates the temperature change

(in degrees Fahrenheit) to the altitude change

(in thousands of feet).

a. Is the relationship proportional? Explain.

b. Write an equation of the line. Interpret the slope.

c. You are at the bottom of a mountain where the temperature is

74\F

. The top of the mountain is 5500 feet above you.

What is the temperature at the top of the mountain?

Step-by-step explanation:

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2 years ago

The total pay for 12 hours of work at a base rate of (p) per hour plus a temporary raise of $2.50 per hour. How would I write th

Naddika [18.5K]

12P+2.50 HOPE THIS HELPS

4 0

2 years ago

The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions

Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

$\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}$

The quadratic equation can now be solve using factorization method:

$\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}$

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

$\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\ \\ Width=x=5\text{ }ft \end{gathered}$

7 0

6 months ago

Look at the picture for the question please show work.

lukranit [14]

$A=\dfrac{1}{2}ah\\
a=25 \text{ mm}\\
h=14 \text{ mm}\\\\
A=\dfrac{1}{2}\cdot25\cdot14\\
A=175 \text{ mm}^2 \Rightarrow C$

6 0

3 years ago

The number 49 has two square roots: 7 and _____

Ainat [17]

Answer:

-7

Step-by-step explanation:

Square numbers always have two possible roots: a positive and negative root. This is because two positive numbers multiply to make a positive number and two negative numbers also multiply to make a positive number

-7 × -7 is still 49, just like 7 × 7

Hope this helps!

4 0

2 years ago

Read 2 more answers