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3 years ago

Which phrase matches the algebraic expression below? (1 point) 3(x + 7) + 10

Mathematics

2 answers:

svp [43]3 years ago

7 0

Answer:

Add 10 to three times the value of x minus 7.

Step-by-step explanation:

TiliK225 [7]3 years ago

7 0

Answer:

Three times the difference of X and seven plus ten

Step-by-step explanation:

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Solve by completing the square. Round your answers to the nearest tenth and then locate the greater solution. <img src="https://

Andrews [41]

Step-by-step explanation:

Step 1: Write our Givens

${x}^{2} + 10x - 7 = 0$

Move the constant term ,(the term with no variable) to the right side.

Here we have a negative 7, so we add 7 to both sides

${x}^{2} + 10x = 7$

Next, we take the linear coeffeicent and divide it by 2 then square it.

$( \frac{10}{2} ) {}^{2} = 25$

Then we add that to both sides

${x}^{2} + 10x + 25 = 7 + 25$

${ {x}^{2} } + 10x + 25 = 32$

Next, we factor the left,

$(x + 5)(x + 5) = 32$

we got 5 because 5 add to 10 and multiply to 25 as well.

so we get

$(x + 5) {}^{2} = 32$

This is called a perfect square trinomial.

Next, we take the square root of both sides

$x + 5 = ± \sqrt{32}$

± menas that we have a positive and negative solution.

Subtract 5 form both side so we get

$x = - 5± \sqrt{32}$

The greater solution is when sqr root of 32 is positive so the answer to that is

$\sqrt{32} - 5 = 0.7$

3 0

2 years ago

Plot (25/3) and (42/3) on the number line.

ss7ja [257]

Answer:

Refer to the Attachment

Step-by-step explanation:

Rewriting the fractions in decimal and whole number, we have the following:

$\frac{25}{3} = 8\frac{1}{3} = 8.3$

$\frac{42}{3} = 14$

Thus, 42/3 is on 14 and 25/3 is on 8 and then add 1/3 from 8 going to 9.

Therefore, the points must be plotted as follows:

The blue point indicates the 42/3 while the red point indicates the 25/3.

8 0

3 years ago

What is the approximate area of a circle with a radius of 10 in?

yKpoI14uk [10]

$\huge\boxed{\textsf{A.}\ 78.5\ \text{in}^2}$

Correction to your question text: diameter, not radius.

The area of a circle is given by:

$A=\pi r^2$

The radius is half of the diameter.

$A=\pi\cdot\left(\dfrac{10}{2}\right)^2$

Substitute and solve.

$\begin{aligned}A&=\pi\cdot\left(\frac{10}{2}\right)^2\\&=\pi\cdot5^2\\&=\pi\cdot25\\&\approx\boxed{78.5}\end{aligned}$

5 0

1 year ago

3c/4 - 2c/4 = 4 (solve with work please)

xxMikexx [17]

Simplifying

2c + 3 = 3c + -4

Reorder the terms:

3 + 2c = 3c + -4

Reorder the terms:

3 + 2c = -4 + 3c

Solving

3 + 2c = -4 + 3c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-3c' to each side of the equation.

3 + 2c + -3c = -4 + 3c + -3c

Combine like terms: 2c + -3c = -1c

3 + -1c = -4 + 3c + -3c

Combine like terms: 3c + -3c = 0

3 + -1c = -4 + 0

3 + -1c = -4

Add '-3' to each side of the equation.

3 + -3 + -1c = -4 + -3

Combine like terms: 3 + -3 = 0

0 + -1c = -4 + -3

-1c = -4 + -3

Combine like terms: -4 + -3 = -7

-1c = -7

Divide each side by '-1'.

c = 7

Simplifying

c = 7

3 0

3 years ago

5(9-x)/3 +1 less than 11 find x

Lunna [17]

Answer:

x > $\frac{1}{5}$

Step-by-step explanation:

$\frac{5(9-x)}{3+1}$

Add 3 and 1 to get 4.

$\frac{5(9-x)}{4}$

Use the distributive property to multiply 5 by 9−x.

$\frac{45-5x}{4}$

Subtract 45/5 from both sides.

$-\frac{5}{4}x$

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

$-\frac{5}{4} x$

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

$x>-\frac{1}{4} (-\frac{4}{5} )$

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

$x>\frac{-(-4)}{4 x 5}$

$x>\frac{1}{5}$

5 0

2 years ago