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andrezito [222]
3 years ago
12

Simplify the expression, write in standard and exponential form.

Mathematics
2 answers:
Wewaii [24]3 years ago
7 0

Expression simplified: 78125 x^7 y^14.

Standard form: 78125 x^7 y^14.

timama [110]3 years ago
5 0

Answer:

(5x {y}^{2} ) ^{7}  =  {5x}^{7 } \times  {x}^{7}   \times  {y}^{14}  =  {5x}^{14}    {y}^{14}

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A line passes through (3, –2) and (8, 2).
EleoNora [17]
The point-slope form:
y-y_1=m(x-x_1)
m - slope
(x₁,y₁) - point

(3,-2) \\
x_1=3 \\ y_1=-2 \\ \\
(8,2) \\
x_2=8 \\ y_2=2 \\ \\ \hbox{the slope:} \\
m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-2)}{8-3}=\frac{2+2}{5}=\frac{4}{5} \\ \\ \hbox{the point-slope form:} \\
y-y_1=m(x-x_1) \\
y-(-2)=\frac{4}{5}(x-3) \\
\boxed{y+2=\frac{4}{5}(x-3)}

\hbox{the standard form:} \\
y+2=\frac{4}{5}(x-3) \\
y+2=\frac{4}{5}x-\frac{12}{5} \\
-\frac{4}{5}x+y=-\frac{12}{5}-2 \ \ \ |\times 5 \\
-4x+5y=-12-10 \\
\boxed{-4x+5y=-22}

The answer is D.
6 0
4 years ago
Shane biked 1 mile less than three times the number of miles Lissette biked. Shane biked a total of 7 miles. Write an equation t
Temka [501]

Answer

Equation : x + 1 + 3x = 7

Miles Lissette biked : 3/2 miles

Step-by-step explanation:

Step 1: Determine the total number of miles biked.

From my understanding. 7 miles is the total number of miles biked by both.

Step 2: Assume the values

Miles Lissette biked = x

Miles Shane biked = 1 + 3x

Step 3: Add miles biked by Lissette and Shane which will be equal to total miles.

Equation for miles Lissette biked: x + 1 + 3x = 7

4x + 1 = 7

x = 6/4

Step 4: Simplify

x = 6/4

x = 3/2

Therefore, the equation for miles Lissette biked is x + 1 + 3x = 7 and Lissete biked for 3/2 miles.

Hope it helped if yes mark me BRAINLIEST

Tysmm

5 0
3 years ago
Read 2 more answers
Solve for x. Show each step and explain.<br> 4.5(8-x)+36=102-2.5(3x+24)
lianna [129]

Answer: x= -10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4.5(8−x)+36=102−2.5(3x+24)

(4.5)(8)+(4.5)(−x)+36=102+(−2.5)(3x)+(−2.5)(24)(Distribute)

36+−4.5x+36=102+−7.5x+−60

(−4.5x)+(36+36)=(−7.5x)+(102+−60)(Combine Like Terms)

−4.5x+72=−7.5x+42

−4.5x+72=−7.5x+42

Step 2: Add 7.5x to both sides.

−4.5x+72+7.5x=−7.5x+42+7.5x

3x+72=42

Step 3: Subtract 72 from both sides.

3x+72−72=42−72

3x=−30

You can do it from here

6 0
3 years ago
. The admission fee for a basketball game is $5 for students and $7 for adults. At one of the girl’s home games, 150 people atte
exis [7]

Answer:

Adults =58, Students=92

Step-by-step explanation:

7 0
3 years ago
James sold 450 tickets for the community play. Tickets for children cost $2, and tickets for adults cost $5. James sold $1,800 w
Nataly [62]

A.T.Q, equations will be:

x+y = 450

2x+5y= 1800

Substitute value of x from equation (1), in equation (2)

2(450-y) +5y=1800

900-2y+5y=1800

3y=900

y=300

so, your answer is 300

3 0
4 years ago
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