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2 years ago

True or False, when graphing an inequality that has no solutions, you shade the entire number line.

Mathematics

1 answer:

Over [174]2 years ago

6 0

Answer:

True or False

2. When graphing inequalities, a dashed line is used for < or > signs.

True or False

3. If you were to graph x > 6, the circle would be closed and to the left.

True or False

4. On a number line, if you were to graph an equation with a less than sign or a great than sign, < or > respectively, you would use an open circle

True or False

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What is the area of the figure? 40 ft2 84 ft2 96 ft2 can't be determined

mina [271]

Answer:

$A=80\ ft^2$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of an isosceles triangle (has two equal sides) plus the area of a rectangle

step 1

Find the area of the triangle

The area of the triangle is equal to

$A=\frac{1}{2}bh$

we have

$b=16\ ft$

To find out the height of the triangle Apply the Pythagorean Theorem

$10^2=(16/2)^2+h^2$

solve for h

$100=64+h^2$

$h^2=100-64$

$h^2=36$

$h=6\ ft$

Find the area of triangle

$A=\frac{1}{2}(16)(6)$

$A=48\ ft^2$

step 2

Find the area of rectangle

The area of rectangle is equal to

$A=LW$

we have

$L=16\ ft\\W=2\ ft$

substitute

$A=(16)(2)=32\ ft^2$

step 3

Find the area of the figure

Adds the areas

$A=48+32=80\ ft^2$

5 0

3 years ago

Using the function attached. Find (f+G)(x)

sp2606 [1]

We have been given two functions $f(x)=-8x^3+5x^2+7x+4$ and $g(x)=8x^3-2x+3$ . We are asked to find $(f+g)(x)$ .

We will use composite function property $(f+g)(x)=f(x)+g(x)$ to solve our given problem.

$(f+g)(x)=-8x^3+5x^2+7x+4+8x^3-2x+3$

Now we will combine like terms as:

$(f+g)(x)=-8x^3+8x^3+5x^2+7x-2x+4+3$

$(f+g)(x)=5x^2+5x+7$

Therefore, the value of $(f+g)(x)$ would be $5x^2+5x+7$ .

8 0

2 years ago

Find the total amount in the compound interest account.

r-ruslan [8.4K]

The final balance is $64,599.38.

The total compound interest is $55,599.38.

6 0

2 years ago

at a farm the ratio of cows to horses was 9:2 if there were 72 cows at the farm how many horses were there

dem82 [27]

72 divides by 9 is 8 so 2 times 8 is sixteen so that would be the answer

8 0

2 years ago

PLEASE HELP < I NEED HELP, TRYING TO MAKE HONOR ROLL

Stels [109]

Answer: w = 4 $\frac{1}{3}$

Step-by-step explanation:

Let the unknown number be w , then

the product of w and 3 = 3w

Nine less than the product of 3 and the number = 3w - 9

completing the equation , we have

3w - 9 = 4

add 9 to both sides

3w = 13

w = 13/3

w = 4 $\frac{1}{3}$

6 0

3 years ago