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Ilia_Sergeevich [38]
4 years ago
10

Cross multiply.

ula1" title="\frac{3x}{2x-2} = \frac{14}{8}" alt="\frac{3x}{2x-2} = \frac{14}{8}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
blagie [28]4 years ago
5 0

Answer:

x = 7

Step-by-step explanation:

Solve for x over the real numbers:

(3 x)/(2 x - 2) = 14/8

14/8 = 7/4:

(3 x)/(2 x - 2) = 7/4

Cross multiply:

12 x = 7 (2 x - 2)

Expand out terms of the right hand side:

12 x = 14 x - 14

Subtract 14 x from both sides:

-2 x = -14

Divide both sides by -2:

Answer:  x = 7

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How many lunches and sodas can you buy for $100 if a soda costs $2 and lunch costs $7?
Rudik [331]
Let
soda=x
lunch=y

2x+7y=100

change to slope intercept form

y=-(2/7)x+14

answer is shaded region on thr graph of the equation.

x =1
y=14
7 0
4 years ago
If the tangent line to y = f(x) at (5, 3) passes through the point (0, 2), find f(5) and f '(5)
KATRIN_1 [288]
Since we have (5,3), f(5)=3

f'(5) is the slope of the line at x=5

we are given that the line tangent to f(x) at x=5 passes through the point (0,2)

so find the slope of that line
we know it passes through (5,3) and (0,2)
slope between (x_1,y_1) and (x_2,y_2) is
\frac{y_1-y_2}{x_1-x_2}
slope between (5,3) and (0,2) is [/tex]\frac{3-2}{5-0}=\frac{1}{5}[/tex]



f(5)=3
f'(5)=\frac{1}{5}
5 0
3 years ago
Help, please!! Simplify the equation:
BaLLatris [955]

Answer:

-6 + 12x

Explanation:

Good luck. Have a great day.

5 0
2 years ago
Read 2 more answers
There are 36 cans of green beans and 48 cans of corn. Then display designer wants an equal amount of each vegetable in each row
slamgirl [31]
I would look at the common factors for this one. so let's factor them
36 = 2 * 18
36 = 3 * 12
36 = 4 * 9

48 = 2 * 24
48 = 3 * 16
48 = 4 * 12
48 = 6 * 8

if we look the greatest common factor they have would be 12. But if they both had 12 then corn would oy have 4 in each row. But if we do the smallest amount of rows then we would have more cans as the owner wants. So if we madeniy 2 rows then corn would have 24 in each row. that wpuld.be the most possible
7 0
4 years ago
Read 2 more answers
Uhhh what is this this looks very hard
zheka24 [161]

Answer:

B. x ≤ 5

Step-by-step explanation:

This is an inequality problem. It can be solved by examining the arrow and the point it closes on. If the arrow is going left, then all values of x are going to be <u>less than</u> the point it closes on. If the arrow is going right, then all values of x are going to be <u>greater than</u> the point it closes on.
If the circle on the point the arrow is closed/shaded in, then that value will be included in the values of x, giving the inequality either a ≤ or ≥ sign depending on which way the arrow is pointing. If the circle on the point the arrow is open, then that value will not be included in the values of x. The sign will be either < or >.

---------------------------------------------------------------------------

For this problem, the arrow is going to the left of 5, which means all values of x are going to be less than 5. Because the circle is closed, that means that number 5 is included, or x can be equal to 5. If the circle was open, it wouldn't be included. So, the inequality is x ≤ 5.

hope this helps!

7 0
2 years ago
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