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2 years ago

The graph of a function f is shown below. Find f (2) and find one value of x for which f(x) = -4

Mathematics

1 answer:

nadya68 [22]2 years ago

5 0

Answer: a: -2, b: 0

Step-by-step explanation:

f(2) means that x=2, and we need to solve for y.

On the graph, it has a point of (2, -2) and since it's a function that is the only possible output. Therefore, f(2)=-2.

f(x)=-4 means that y=-4, and we need to solve for x.

On the graph, the point (0,-4) exists, and since the function contains only one output, it must be correct. Therefore, x=0.

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HELP PLEASE

Stella [2.4K]

Answer:

The right answer is: 14,256 cubic inches

Step-by-step explanation:

First of all, let's identify the dimensions of the tank and convert them to inches

Knowing that 1 Feet = 12 inches

So, the dimensions of the tank, expresed in inches will be:

Height (H): 2 ft. x 12 = 24 inches

Width (W): 1.50 ft. x 12 = 18 inches

Lenght (L): 3 ft. x 12 = 36 inches

Before calculating the volume of water inside the thank, We must consider that <em>there are two inches of empty space at the top.</em>

So , We must substract 2 inches to the height to calculate the volume.

Then, the height used for calculating the volume will be:

H'= 24 inches - 2 inches = 22 inches

Then,

Volume (V)= W x L x H'

V= (18 inches) x (36 inches) x (22 inches)

V= 14,256 cubic inches

8 0

3 years ago

For questions 13 – 15, find x so that q || r. State the converse used.

Grace [21]

Answer:

13. x = 7 ; Converse : Alternate interior angles are equal .

14. x=12; Converse used : Linear pair

15. x = 23; Converse: Corresponding angles are equal

Step-by-step explanation:

13.

Refer the attached figure

Given: q || r

$\angle CBE =\angle DEB$ (Alternate interior angles )

So, 15x+3=108

15x=108-3

15x=105

$x=\frac{105}{15}$

x=7

So, x = 7 ; Converse : Alternate interior angles are equal .

14.

Refer the attached figure

Given q||r

$\angle PQT = \angle STQ$ (Alternate interior angles

So, $\angle PQT = \angle STQ=11x-28$

Now $\angle UTQ + \angle STQ = 180^{\circ}$ (Linear pair)

So,7x-8+11x-28=180

18x-36= 180

18x=216

$x=\frac{216}{18}$

x=12

So, x=12; Converse used : Linear pair

15.

Refer the attached figure

Given q||r

$\angle BDC+\angle CDE = 90+2x$

$\angle BDE=\angle PBC$ (corresponding angles)

90+2x=5x+21

90-21=5x-2x

69=3x

23=x

So, x = 23; Converse: Corresponding angles are equal

5 0

3 years ago

What is the answer to 8x - 4 = 7x - 1

mojhsa [17]

8x-7x=-1+4
1x/1 =3/1
x=3

6 0

2 years ago

Find the constant $c$ that makes the quadratic $x^2 + 7x + c$ the square of a binomial.

Fofino [41]

$a=1\\
2ab=7\\
c=b^2\\\\
2b=7\\
b=3.5\\\\
c=(3.5)^2=12.25
$

5 0

3 years ago

Shane's grandmother's cookie recipe uses a ratio of 3 cups almond flour to 2 cups of brown sugar.How much brown sugar is used fo

vagabundo [1.1K]

2/3 cup of brown sugar is used for each cup of almond

8 0

3 years ago