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2 years ago

5

2x-2y=14 into slope-intercept form

1 answer:

Amiraneli [1.4K]2 years ago

7 0

Answer:

Y=X-7

Step-by-step explanation:

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Can y’all help me answer these questions

cupoosta [38]

2. $f(x)=\dfrac18\left(\dfrac14\right)^{x-2}$

Domain: $(-\infty,\infty)$ , because any value of $x$ is allowed and gives a number $f(x)$ .

Range: $(0,\infty)$ , because $a^x>0$ for any positive real $a\neq0$ .

y-intercept: This is a point of the form $(0, f(0))$ . So plug in $x=0$ ; we get $f(0)=\frac18\left(\frac14\right)^{-2}=\frac{4^2}8=2$ . So the intercept is (0, 2), or just 2. (Interestingly, you didn't get marked wrong for that...)

Asymptote: This can be deduced from the range; the asymptote is the line $y=0$ .

Increasing interval: Going from left to right, there is no interval on which $f(x)$ is increasing, since 1/4 is between 0 and 1.

Decreasing interval: Same as the domain; $f(x)$ is decreasing over the entire real line.

End behavior: The range tells you $f(x)>0$ , and you know $f(x)$ is decreasing over its entire domain. This means that $f(x)\to+\infty$ as $x\to-\infty$ , and $f(x)\to0$ and $x\to+\infty$ .

3. $f(x)=\left(\dfrac32\right)^{-x}-7$

Domain: Same as (2), $(-\infty, \infty)$ .

Range: We can rewrite $f(x)=\left(\frac23\right)^x-7$ . $\left(\frac23\right)^x>0$ for all $x$ , so $\left(\frac23\right)^x-7>-7$ for all $x$ . Then the range is $(-7,\infty)$ .

y-intercept: We have $f(0)=\left(\frac32\right)^0-7=1-7=-6$ , so the intercept is (0, -6) (or just -6).

Asymptote: $y=-7$

Increasing interval: Not increasing anywhere

Decreasing interval: $(-\infty,\infty)$

End behavior: Similar to (2), but this time $f(x)\to+\infty$ as $x\to-\infty$ and $f(x)\to-7$ as $x\to+\infty$ .

5 0

3 years ago

Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution. How many liters of eac

lesantik [10]

Answer:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters

Step-by-step explanation:

Let us represent:

The number of liters for :

Acid solution a = x

Acid solution b = y

Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution.

x + y = 40 ...... Equation 1

x = 40 - y

25% × x + 50% × y = 45% × 40

0.25x + 0.5y = 18...... Equation 2

We substitute, 40 - y for x in Equation 2

0.25(40 - y)+ 0.5y = 18

10 - 0.25y + 0.5y = 18

- 0.25y + 0.5y = 18 - 10

0.25y = 8

y = 8/0.25

y = 32 Liters

Solving for x

x = 40 - y

x = 40 - 32

x = 8 Liters.

Hence:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters

5 0

2 years ago

I need help for this math question

Cerrena [4.2K]

Answer:

Step-by-step explanation:

There are 150 students in grade 8

Write the ratio of grade 8 students in its lowest terms

7 0

2 years ago

How do I solve this?

mart [117]

X + y = 20 Substitute
x by 2 y - 4 in x + y = 20 to obtain 2 y •
4 + y = 20 Solve for y to find y = 8 and
x = 2y - 4 = 12

3 0

1 year ago

Read 2 more answers

Anyone know this question?<br><br>Just B please

Gre4nikov [31]

Answer:

52% and 7

Step-by-step explanation:

There are 25 squares of which 13 are shaded , then

$\frac{13}{25}$ × 100% = 13 × 4% = 52°

(b)

1 square represents $\frac{1}{25}$ × 100% = 1 × 4% = 4%

Then 80% = 80% ÷ 4% = 20

That is for 80% , 20 squares require to be shaded

That is 7 more than the 13 already shaded

4 0

2 years ago