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2 years ago

What number comes next in this pattern? 46, 49, 52, 55, 58,...

Mathematics

2 answers:

Ksenya-84 [330]2 years ago

8 0

Answer:

Step-by-step explanation:

just add 3 to the next one

den301095 [7]2 years ago

7 0

Answer:

Step-by-step explanation:

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Dan invests £18790 into his bank account. He receives 5.3% per year simple interest. How much will Dan have after 7 years?

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Answer: 55

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2 years ago

You have $200 in a savings account. Each week for 8 weeks, you take put $18 for spending money. How much money is on your accoun

IceJOKER [234]

8 * 18 = 144

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2 years ago

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Solve the system of equations using the addition method.

stepladder [879]

Answer:

A) 5x - 2y = 12

B) 3x + 2y = 36 Adding both equations eliminates "y"

8x = 48

x = 6 Putting x=6 into equation B we get

3*6 + 2y = 36

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Step-by-step explanation:

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2 years ago

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Some doctors recommend that no more than 30% of a person's daily calories come from fats. Following this recommendation, if you

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2 years ago

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murzikaleks [220]

Answer:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$\boxed{y=mx+b}$

where:

m is the slope.
b is the y-intercept (where the line crosses the y-axis).

Slope formula

$\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}$

Equation 1

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(-1, 6)$

$\textsf{Let }(x_2,y_2)=(0, 1)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5$

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=-5x+1$

Equation 2

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(1, 1)$

$\textsf{Let }(x_2,y_2)=(0, -4)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5$

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=5x-4$

Conclusion

Therefore, the system of linear equations shown by the graph is:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Learn more about systems of linear equations here:

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1 year ago

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