Solve for x. 20 - 9<5 Write answer in interval notation.

stiks02 [169]

Raise 49 to the power of 2 to get 2401.
7^3x+4=2401x+1

Raise 7 to the power of 3 to get 343.
343x+4=2401x+1

Since 2401x contains the variable to solve for, move it to the left-hand side of the equation by subtracting 2401x from both sides.
343x+4−2401x=1

Add 343x and −2401x to get −2058x.
−2058x+4=1

Since 4 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 4 from both sides.
−2058x=−4+1

Add −4 and 1 to get −3.
−2058x=−3

Divide each term in the equation by −2058.

x=1/686

7 0

3 years ago

Sue uses the expression (8 x 3,000) + (8 x 200) +(8 x 9) to help solve a multiplication problem. What is Sue's multiplication pr

SVEN [57.7K]

here it is hope i helped 25,672

6 0

3 years ago

a student worked out at the gym continuously for 50 minutes. The graph shows the remaining percentage of the workout f(x) as a l

SashulF [63]

Answer:

Domain: All real numbers greater than or equal to 0 and less than or equal to 50

Range: All real numbers greater than or equal to 0 and less than or equal to 100

Step-by-step explanation

The workout is at 100% at 50 mins. Anything less would be under these two numbers. Since the percentage of workout is on the y-axis, anything between zero and 100 can be possible. The time is on the x-axis, so anything 0 to 50 can be possible.

8 0

3 years ago

Taryn conducted a science experiment on saturation. She added sugar to sugar water solution at different intervals. The graph sh

dusya [7]

Equation of a line:
$y=mx+c$

m = gradient: The difference between two y points and two x points.
$m= \frac{\Delta y}{\Delta x}$

c = y-intercept: Where the line crosses the y-axis (x=0)

You have:
$y=\textunderscore\textunderscore \ x + \textunderscore$
so you are missing the m and the c.

To calculate m find two y coordinates -you have (12, 7) and (0, 1)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (12, 7) and (0, 1)- This gives:

$m= \frac{7-1}{12-0}$
$m= \frac{6}{12}$
$m=0.5$

To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:

$c=1$

When you plug these values into the equation you get your answer:

$y=0.5x+1$

6 0

3 years ago

Which function has x-intercepts of 3 and 8 and contains the point (–1, –2)?

mojhsa [17]

This is how you do it.

y = a(x - 3)(x - 8)
-2 = a(-1 - 3)(-1 - 8) 
-2 = 36a 
- 1 / 18 = a 
y = ( - 1 / 18)(x^2 - 11x + 24) 
y = (- 1 / 18)x^2 + (11 / 18)x - (3 / 2)

If this doesn't explain it enough, please, ask questions.

6 0

3 years ago