All categories

3 years ago

F the point (a, 7) lies on the graph of the equation 5x - y = 8, then a=

Mathematics

1 answer:

Ghella [55]3 years ago

7 0

(a,7) lies on the equation of 5x-y=8, that means we solve for x when y=7.

5x-(7)=8
5x=8+7=15
x=3
=>
a=3

You might be interested in

What is the equation of the line in slope-intercept form with slope -3/2 and y-intercept -5?

V125BC [204]

About Slope Intercept Form:

y = mx + b
m represents the slope
b represents the y-intercept or AKA the starting point

ABOUT PROBLEM:

Since -3/2 is the slope, it represents m in Slope Intercept Form
Since -5 is the y-intercept, it represents b in Slope Intrecept Form

y = mx + b

y = -3/2x + -5 --- IN Slope Intercept Form

Hope this helps you!!! :)

5 0

3 years ago

X/-4 + 14>20 someone help a girl out

MrRa [10]

Answer:

x < -20

Step-by-step explanation:

x / -4 + 14 >20

Subtract 14 from each side

x / -4 +14-14 > 20 -14

x / -4 > 6

Multiply each side by -4, remembering to flip the inequality

x / -4 * -4 < 6 * -4

x < -20

7 0

3 years ago

Read 2 more answers

What is the simplified form of 30 times x to the sixth power over 14 times y to the fifth power times the fraction 7 times y-squ

Sonbull [250]

If we convert the given in its mathematical form, we have,

(30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².

((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)

Cancellation of the common terms will give us an answer of,

5x²/2y³

Therefore, the simplified version of the involved operation is 5x²/2y³.

6 0

3 years ago

mhairi invest 1000 for 5 years at 4% compound interest p.a calculate how much interest she has gained over the 5 years

KiRa [710]

Answer:

Step-by-step explanation:

$1000×1.04⁵ ≅ $1216.65

interest ≅ $216.65

5 0

3 years ago

You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk

Rina8888 [55]

Answer:

Part a) $y=18.50x+100$

Part b) The total cost is $\$220.25$

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

$m=\$18.50\ per\ hour$

The y-intercept or initial value is equal to

$b=\$100$

substitute

$y=18.50x+100$

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

$y=18.50(6.5)+100\\y=\$220.25$

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0

3 years ago