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IgorC [24]
3 years ago
14

HELP ME PLEASE!!!!

Mathematics
1 answer:
marusya05 [52]3 years ago
8 0
\dfrac{3}{\sqrt7}=\dfrac{3\cdot\sqrt7}{\sqrt7\cdot\sqrt7}=\boxed{\dfrac{3\sqrt7}{7}}\\\\\\\text{Used:}\ \sqrt{a}\cdot\sqrt{a}=a
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Write the linear function f with the values f(1) = 1 and f(-3) = 17. (Note: Use f(x) instead of y.) Show work to get full credit
Ilya [14]

Given:

f(1) = 1 and f(-3) = 17

To find:

The lines function f.

Solution:

If f(a) = b, it means the function f passes through (a,b).

Here, f(1) = 1, it means the function f passes through (1,1).

f(-3) = 17, it means the function f passes through (-3,17).

If a linear function passes through two point (x_1,y_1)\text{ and }(x_2,y_2), then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The linear function f passes through (1,1) amd (-3,17). So, the equation of linear function is

y-1=\dfrac{17-1}{-3-1}(x-1)

y-1=\dfrac{16}{-4}(x-1)

y-1=-4(x-1)

y-1=-4x+4

Add 1 on both sides.

y-1+1=-4x+4+1

y=-4x+5

Put y=f(x), to write in function notation.

f(x)=-4x+5

Therefore, required lines function is f(x)=-4x+5.

4 0
2 years ago
At school, the maximum number of students that can be in a classroom is 25. If there are 15 students signed up for the chemistry
svetoff [14.1K]

Answer: 10

Step-by-step explanation:

25 - 15 = 10

6 0
2 years ago
What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?
Ket [755]

Option C: 220 \ cm^2 is the surface area of the rectangular prism

Explanation:

The height of the rectangular prism is 5 cm

The width of the rectangular prism is 10 cm

The depth of the rectangular prism is 4 cm

We need to determine the surface area of the rectangular prism.

The surface area of the rectangular prism can be determined using the formula,

A=2(w l+h l+h w)

Substituting w=10 , h=5 and l=4 in the formula, we get,

A=2 \cdot(10 \cdot 4+5 \cdot 4+5 \cdot 10)

Multiplying the terms within the bracket, we have,

A=2 \cdot(40 +20+5 0)

Adding all the values within the bracket, we get,

A=2 \cdot(110)

Multiplying, we have,

A=220

Thus, the surface area of the rectangular prism is 220 \ cm^2

Hence, Option C is the correct answer.

4 0
3 years ago
Read 2 more answers
Katie wants to collect over 100100100 seashells. She already has 343434 seashells in her collection. Each day, she finds 121212
vekshin1

Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is 5 times a number minus 3 is 12 ?​
Rom4ik [11]

Answer:

5*x-3=12

the number is 3 because 5*3=15 and 15-3=12

8 0
3 years ago
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