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3 years ago

Let f be defined as shown on the graph. Which statement is true?

Mathematics

1 answer:

satela [25.4K]3 years ago

4 0

The inverse of f does NOT exist. The reason why is because the function fails the horizontal line test. Recall that the horizontal line test is a test where you try to see if you can pass a single horizontal line through more than one point on the function curve. If you can get the horizontal line to pass through more than one point, then it fails the test. It's very similar to the vertical line test.

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If A ⊂ B, then which of the following describes the relationship between A and B?

Ne4ueva [31]

Could you provide the answer choices please?

6 0

3 years ago

Jordan has 3 toy cars. Jake has 10 times as many cars as Jordan does. How many cars does Jake have?

Viefleur [7K]

Answer:

Jake has 30 cars

Step-by-step explanation:

3 times 10 equals 30

7 0

4 years ago

Midsegment of triangle Find the distance across the lake

Marizza181 [45]

Answer:

The distance across the lake is 3.5 km

Step-by-step explanation:

Hypotenuse is divided in equal parts. Thus both sides are divided in the same proportion.

6 0

4 years ago

Read 2 more answers

Cynthia Besch wants to buy a rug for a room that is 1919 ft wide and 2727 ft long. She wants to leave a uniform strip of floor a

yulyashka [42]

Answer:

The dimension of the rug would be 17 ft × 9 ft.

Step-by-step explanation:

Given

length of the room = 27 ft.

width of the room = 19 ft.

suppose, she leaves a uniform strip of x ft. around the rug.

So,

The length of rug = (27-2x)ft.

Width of rug= (19-2x)ft.

∴ Area of the rug= length×width

$= (27-2x)(19-2x)$

$= 513-54x-38x+4x^2$

$= 513-92x+4x^2$

According to the question,

$513-92x+4x^2=153$

$513-92x+4x^2-153=0$ ( subtract 153 both sides)

$4x^2-92x+360=0$

$4(x^2-23x+90)=0$

$x^2-23x+90=0$

$x^2-(18+5)x+90=0$ ( Middle term splitting)

$x^2-18x-5x+90=0$

$x(x-18)-5(x-18)=0$

$(x-5)(x-18)=0$

$x-5=0$ or $x-18=0$ ( zero product property)

$x=5$ or $x=18$

if x=18, dimension would be negative ( Not possible)

Thus, x= 5

Hence,

length of rug= 27-10=17 ft.

width of rug= 19-10=9 ft.

8 0

4 years ago

The designers of drink cartons must consider the length of the straw required so that it will reach the bottom

daser333 [38]

Answer:

The length of the straw is 13.53 cm

Step-by-step explanation:

Rectangular Prism

A rectangular prism or cuboid is a box-shaped object. It has six flat faces and all angles are right angles. And all of its faces are rectangles.

If the straw must reach into the diagonally opposite corners of the base of the carton, then its minimum length is calculated by:

$d^2= a^2+b^2+c^2$

Where a,b, and c are the dimensions of the cuboid. The image shows the dimensions of the drink carton: a=6 cm, b=10 cm, c=4 cm (order is not important), thus:

$d^2= 6^2+10^2+4^2=36+100+16=152$

$d=\sqrt{152}$

d= 12.33 cm

The straw must stick out of the carton by an additional 1.5 cm, thus the total length of the straw is: 12.33 + 1.5 = 13.53 cm

4 0

3 years ago

Read 2 more answers