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horsena [70]
2 years ago
10

Increase 250ml by 40%

Mathematics
1 answer:
vovangra [49]2 years ago
5 0
Set it up as a ratio to find what 40% of 250 mL is:
 x            40
---      =   ------
250       100
Then it becomes (40*250)/100, which is 100.
Finally, add 100 to 250. Your answer is 350.
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What is g in 7h+2f-2g=17.15
drek231 [11]
G = (7h + 2f + 3c - 17.15)/2
7 0
3 years ago
Use the graph that shows the solution to
Luda [366]

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

f(x) = \dfrac{1 + 2\cdot x}{x}

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

\dfrac{1 + 2\cdot x}{x} = 2 + x

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

6 0
2 years ago
Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and
defon

The expression that can be used to approximate the expression below islog_a x = \frac{log_{b}a}{log_{b}x}

  • Given the logarithmic function expressed as log_a x, we need the log expression that is equivalent to the given expression.

  • To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;

log_a x = \frac{log_{10}a}{log_{10}x}

This is similar to the option c where the base of "b" was used as log_a x = \frac{log_{b}a}{log_{b}x}

Learn more on law of logarithms here: brainly.com/question/11587706

3 0
2 years ago
Given f(x) = 2x^2 -3x and g(x) = x+4
Alenkasestr [34]

Answer:

2x³ + 5x² - 12x

Step-by-step explanation:

The correct answer doesn't seem to be listed...

(fg)(x) = (2x² - 3x)(x + 4)

Which equals...

2x²(x) + 2x²(4) + (-3x)(x) + (-3x)(4)

Which simplifies to...

2x³ + 8x² - 3x² - 12x

     2x³ + 5x² - 12x

8 0
3 years ago
Read 2 more answers
write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4
EastWind [94]

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

Answer:  \textsf{y = -1/4x - 4}

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

Given: \textsf{Slope = -1/4, Point through = (4, -5)}

Find:  \textsf{Equation for the line that passes through the given point}

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - (-5) = -1/4(x - 4)}

<u>Simplify and solve for y</u>

  • \textsf{y + 5 = -1/4(x - 4)}
  • \textsf{y + 5 = -1/4x + 1}
  • \textsf{y + 5 - 5 = -1/4x + 1 - 5}
  • \textsf{y = -1/4x - 4}

Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

5 0
2 years ago
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