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3 years ago

Evaluate the expression described below if the number is –3.

Mathematics

2 answers:

andrey2020 [161]3 years ago

7 0

3(n + 4) - 4....when n = -3

3(-3+4) - 4 =
3(1) - 4 =
3 - 4 =
-1 <==

Leya [2.2K]3 years ago

3 0

You already know the number is -3.
Four less than three times the sum of a number and four.
So, four less than will be at the end of the formula. The beginning of the formula is 3 times.
So it looks like this so far
3( )-4 Now let's look at "the sum of the number (-3) and 4.
So this is how it looks now
3(-3+4)-4
Remember, do inside the parenthesis first, then multiply, and lastly your subtraction.

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Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul

aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, $18 inches = 1.5 ft$

Thus, the length of the rug is $l=1.5+w$

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

$A=length\times width$

$10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0$

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\$

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

$w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5$ and $w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4$

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting $w=2.5$ in $l=1.5+w$ , we get,

$l=1.5+2.5\\l=4$

Thus, the length of the rug is 4 ft.

4 0

3 years ago

What is the answer to 3s=45?

german

S= 15

3s=45
3s/3=45/3
S=15
You have to divide both sides

5 0

3 years ago

X^2 + 18x + c = 25 +c

svet-max [94.6K]

Rearrange to: x^2 + 18x - 25 = 0
Then factorise (I like to do it by completing the square):
(x + 9)^2 -81 -25 = 0
(x + 9)^2 = 106
x + 9 = sqrt(106)
The sol'ns are:
x = -9 + and - sqrt(106)

7 0

3 years ago

(7a^3 -2a-2)+(-5a+3)

atroni [7]

Answer:

7a 3 −7a+1

Step-by-step explanation: I hope this help.

STEP

Equation at the end of step 1

((7a3 - 2a) - 2) + (3 - 5a)

STEP

Polynomial Roots Calculator :

2.1 Find roots (zeroes) of : F(a) = 7a3-7a+1

Polynomial Roots Calculator is a set of methods aimed at finding values of a for which F(a)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers a which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 7 and the Trailing Constant is 1.

The factor(s) are:

of the Leading Coefficient : 1,7

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 1.00

-1 7 -0.14 1.98

1 1 1.00 1.00

1 7 0.14 0.02

Polynomial Roots Calculator found no rational roots

Final result :

7a3 - 7a + 1

6 0

3 years ago

Read 2 more answers

Write an equation in slope-intercept form for the line that passes through the

Pavlova-9 [17]

Make slope intercept
3x - y = 5
3x = y + 5
y = 3x - 5
Parallel = same slope
Slope = 3
Y = 3x + b
Plug in the point
-2 = 3(-1) + b
-2 = -3 + b, b = 1

Solution: y = 3x + 1

6 0

3 years ago

Read 2 more answers