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3 years ago

Solve algebraic equation -4x + 7 = 15

Mathematics

2 answers:

mash [69]3 years ago

6 0

-4x+7=15
-7 -7
-4x =8
-4x/-4= 8/-4
x=-2

x=-2

yan [13]3 years ago

3 0

Answer:

x=-2

Step-by-step explanation

-4(-2)+ 7

8+7=5

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An office that dispenses automotive license plates has divided its customers into categories to level the office workload. Custo

grigory [225]

Answer:

UNIF(2.66,3.33) minutes for all customer types.

Step-by-step explanation:

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6 0

3 years ago

HELP ME HELP ME please !!! 10 points

USPshnik [31]

Answer:

The slope is $\frac{3}{2}$

The y-intercept is 9

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

m is the slope of the line whose rule is $m=\frac{y2-y1}{x2-x1}$

b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

Choose any two-point from the table

∵ The line passes through the points (2, 12) and (4, 15)

∴ x1 = 2 and x2 = 4

∴ y1 = 12 and y2 = 15

→ Use the rule of m to find it

∵ $m=\frac{15-12}{4-2}=\frac{3}{2}$

∴ m = $\frac{3}{2}$

∴ The slope is $\frac{3}{2}$

→ Substitute its value in the form of the equation above

∴ y = $\frac{3}{2}$ x + b

→ To find b substitute x and y by x1 and y1

∴ 12 = $\frac{3}{2}$ (2) + b

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→ Subtract 3 from both sides

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6 0

3 years ago

Julie and Eric row their boat (at a constant speed) downstream for 40 miles in 4 hours, helped by the current. Rowing at the sam

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Step-by-step explanation:

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Let "r" represent the rate they are rowing

Let "c" represent the current

time rate distance EQUATION

Downstream: 4 hours r + c 40 miles 4(r + c) = 40

Upstream: 10 hours r - c 40 miles 10(r - c) = 40

Distribute, then eliminate r to solve for c:

Down: 4r + 4c = 40 → 5(4r + 4c = 40) → 20r + 20c = 200

Up: 10r - 10c = 40 → -2(10r - 10c = 40) → -20r + 20c = -80

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4 0

3 years ago

HELP, I’M STUCK !

vaieri [72.5K]

Since P(X = x) = 0.3 for all 0 ≤ x ≤ α, we have

$\displaystyle\int_{-\infty}^\infty P(X=x)\,\mathrm dx=1\implies0.3\int_0^\alpha\mathrm dx=0.3\alpha=1\implies\alpha=\dfrac{10}3$

So,

$P(X>2) = \displaystyle\int_2^\infty P(X=x)\,\mathrm dx=0.3\int_2^{\frac{10}3}\mathrm dx$

$P(X>2)=0.3\left(\dfrac{10}3-2\right)=\boxed{\dfrac25}$

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3 years ago

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Pepsi [2]

Answer:

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8 0

3 years ago