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babunello [35]
3 years ago
8

Which choice shows the graph of a linear function?

Mathematics
2 answers:
melamori03 [73]3 years ago
7 0

Answer:

I believe it is the last one

Step-by-step explanation:

pls mark brainliest :P

:)))

ExtremeBDS [4]3 years ago
6 0

Answer:

4th one

Step-by-step explanation:

because its a line (linear)

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PLZ HELP IM 100% LOST ON THIS
xenn [34]

The equation f(x)=g(x) is

|x-4|-11=-\sqrt{5x}

Some observations:

  • \sqrt{5x} is defined only as long as 5x\ge0, or x\ge0
  • wherever \sqrt{5x} is defined, its value must be non-negative, so that -\sqrt{5x} is never positive
  • by the definition of absolute value, we have |x-4|=x-4 if x\ge4, and |x-4|=-(x-4)=4-x if x. Then

|x-4|-11=\begin{cases}x-15&\text{for }x\ge4\\-x-7&\text{for }x

If x, the equation becomes

-x-7=-\sqrt{5x}\implies x+7=\sqrt{5x}

Taking the square of both sides gives

(x+7)^2=\left(\sqrt{5x}\right)^2\implies x^2+14x+49=5x\implies x^2+9x+49=0

but since the discriminant is 9^2-4\cdot1\cdot49, there are no real solutions.

If x\ge4, then

x-15=-\sqrt{5x}

Taking squares gives

(x-15)^2=\left(-\sqrt{5x}\right)^2\implies x^2-30x+225=5x

and solving by the quadratic formula gives two potential solutions,

x=\dfrac{35\pm5\sqrt{13}}2

which have approximate values of 8.49 and 26.51.

We know for any value of x that g(x)\le0. We have f(8.49)\approx-6.51 and f(26.51)\approx11.51, so only the first solution 8.49 is valid.

8 0
4 years ago
She has 40 coins all made up of quarters and dimes, And when she counted them up she had $7.75 from them, how much of each did s
Dmitry [639]

Answer:

x = number of quarters = 25

y = number of dimes = 15

Step-by-step explanation:

Let

x = number of quarters

y = number of dimes

1 dime = $0.10

1 quarter = $0.25

x + y = 40 (1)

0.25x + 0.10y = 7.75 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

0.25x + 0.10y = 7.75 (2)

0.25(40 - y) + 0.10y = 7.75

10 - 0.25y + 0.10y = 7.75

- 0.25y + 0.10y = 7.75 - 10

-0.15y = -2.25

y = -2.25/-0.15

y = 15

Substitute y = 15 into (1)

x + y = 40 (1)

x + 15 = 40

x = 40 - 15

x = 25

x = number of quarters = 25

y = number of dimes = 15

Total quarters = 25 × $0.25

= $6.25

Total dimes = 15 × $0.10

= $1.5

6 0
3 years ago
Find the surface area of the composite figure. 12 cm 11 cm 5 cm 4 cm 7 cm 3 cm 4 cm 12 cm SA=[ ? ] cm^ 2​
salantis [7]

Answer:116cm2

2(12+11+5+7+3+4+4+12)

Step-by-step explanation:

4 0
3 years ago
Write the equation of the line that passes through the point (7,-1) that has a slope of 0.
lora16 [44]

Answer:

y=0x-1

Step-by-step explanation:

y=0(x)+c

-1=0(7)+c

-1=0+c

C=-1

8 0
3 years ago
Three glasses of squash are made using cordial and water. The different mixtures are: Glass A: cordial: water = 3:22. Glass B: c
victus00 [196]
Greatest proportion = Glass c 12.75%

Glass a is 3/25 = 12% and Glass b is 1/8 = 12.5%
8 0
4 years ago
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