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kiruha [24]
3 years ago
5

A line with a slope of -7 passes through the points (u,0) and (8,-7) what is the value of u?

Mathematics
1 answer:
laila [671]3 years ago
6 0

Answer:

u = 7

Step-by-step explanation:

Using the slope intercept formula:

\frac{y2 - y1}{x2 - x1}  = slope

Substitute our values from the points and the known slope:

\frac{-7 - 0}{8 - u} = -7

Now we multiply both sides by (8 - u) to isolate the x:

(8-u) x \frac{-7}{8 - u} = -7 (8 - u)

Next we add 56 to both sides:

-7 = -56 + 7u

Finish off by dividing both sides by 7:

7u = 49

u = 7

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densk [106]

Answer:

  1/36

Step-by-step explanation:

When the coefficient is 1, the function has zeros at -3 and -5, one horizontal unit from the vertex. You want to move the zero to (2, 0), which is 6 units from the vertex. To achieve a horizontal stretch by a factor of 6, the value of x in the function must be replaced by x/6. That would make the coefficient of x^2 be (1/6)^2 = 1/36.

The coefficient of the squared term is 1/36.

8 0
3 years ago
An automobile manufacturer is preparing a shipment of cars and trucks on a cargo ship that can carry 21,600 Tons. The cars weigh
inysia [295]

Answer:

Number of trucks (y) that can be shipped if the number of cars (x) is known=\frac{21,600-3.6x}{7.5}

Step-by-step explanation:

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Let x denotes number of cars and y denotes number of trucks.

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Therefore,

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Now write y in terms of x.

7.5y=21,600-3.6x\\y=\frac{21,600-3.6x}{7.5}

Number of trucks (y) that can be shipped if the number of cars (x) is known=\frac{21,600-3.6x}{7.5}

3 0
3 years ago
It takes 58 pounds of seed to completely plant a 9-acre field. How many acres can be planted per pound of seed?
ozzi

Answer:

6 4/9

Step-by-step explanation:

You divide 58 and 8 and your answer would be 6.444444 repeating.

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Step-by-step explanation:

$72 x 50% (0.50) = $36.00

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earnstyle [38]

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