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True or false? it's not possible to build a triangle with side lengths of 3 3 and 9

Anit [1.1K]

True

The two shorter lengths do not add up to more than the longest length. 3+3 is less than 9. Therefore, even if the two shorter lengths lay on top of the longer side, the two ends cannot meet to form a closed 3 sided figure

6 0

3 years ago

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Find the 14th term of the following geometric sequence.<br> 4, 8, 16, 32, ...

xz_007 [3.2K]

Answer:

65536

Step-by-step explanation:

multiply each term by 2 until you get to the 14th term. the 14th term is 65536

4 0

3 years ago

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-12x +8y=-32 in slope-intercept form

Tatiana [17]

The slope-intercept form: y = mx + b

$-12x+8y=-32\qquad|\text{add 12x to both sides}\\\\8y=12x-32\qquad|\text{divide both sides by 8}\\\\y=\dfrac{12}{8}x-\dfrac{32}{8}\\\\\boxed{y=\dfrac{3}{2}x-4}$

3 0

3 years ago

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Polly’s Pasta and Pizza Supply sells wholesale goods to local restaurants. They keep track of revenue earned from selling kitche

dimaraw [331]

Complete question :

Polly’s Pasta and Pizza Supply sells wholesale goods to local restaurants. They keep track of revenue earned from selling kitchen supplies and food products. The function K models revenue from kitchen supplies and the function F models revenue from food product sales for one year in dollars, where t represents the number of the month (1 – 12) on the last day of the month.

K(t)=15t^3–312t^2+1600t+1100

F(t)=36t3–720t2+3800t–1600

In which month was her revenue from food products the greatest? The least?

Answer:

greatest revenue = 4384

Leat revenue = 400 ; October

Step-by-step explanation:

Using the model :

Claculating the revenue from. Food sales from January through December :

F(t)=36t^3–720t^2+3800t–1600

Put t = 1, 2, 3,.. 12 for January through December

t = 1

F(1)=36(1^3) - 720(1^2) + 3800(1) - 1600 = 1516

t = 2

F(2) = 36(2^3) - 720(2^2) + 3800(2) - 1600 = 3408

Inputting the t values up to 12 to cover for January thkorugh December :

We have the data:

t1 = 1516

t2 = 3408

t3 = 4292

t4 = 4384

t5 = 3900

t6 = 3056

t7 = 2068

t8 = 1152

t9 = 514

t10 = 400

t11 = 996

t12 = 2528

Hence, greatest revenue = 4384 (month of April)

Least revenue is at t10(October) ; Lowest revenue is at t 10 = 400

6 0

3 years ago

What is the work to this ? 6=-3(x+2)

wlad13 [49]

♥ To solve this you are going to find x. ♥

♥ X in this case is representing a unknown variable, meaning we are not sure of the number x, and to finish the solution to your problem we have to find x.

♥ So to find x the first step is to simplify both sides of the equation.

♥ Starting with distribution:

$6=(-3)(x)+(-3)(2) \\ 6=-3x+-6 \\ 6=-3x-6$

♥ Now we want to flip the equation.

$-3x-6=6$

♥ Our next and almost final step, is to add the number -3 to both sides of our problem. This is going to help us tremendously.

$-3x-6+6=6+6 \\ -3x=12$

♥ Now our last step before we get our answer is to divide both sides of the problem. In this case we are going to do this:

$\frac{-3x}{-3} = \frac{12}{-3}$

♥ And then because of that we get our final answer of: -4.

♥ x=-4 <span>♥</span>

3 0

3 years ago