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rusak2 [61]
3 years ago
12

Y=3[x]+1 Step by step

Mathematics
1 answer:
finlep [7]3 years ago
7 0

y=3x+1

Use the slope-intercept form to find the slope and y-intercept

The slope-intercept form is y=mx+b

, where m is the slope and b

is the y-intercept.

y=mx+b

Find the values of m

and b using the form y=mx+b

.

m=3

b=1

The slope of the line is the value of m

, and the y-intercept is the value of b

.

Slope: 3

Y-Intercept: 1

Any line can be graphed using two points. Select two x

values, and plug them into the equation to find the corresponding y

values.


Choose 0

to substitute in for x

to find the ordered pair.


Replace the variable x

with 0

in the expression.

f(0)=3(0)+1

Simplify the result.

Tap for more steps...

1

The first point is (0,1)

.

(0,1)

Choose 1

to substitute in for x

to find the ordered pair.

Tap for fewer steps...

Replace the variable x

with 1

in the expression.

f(1)=3(1)+1

Simplify the result.


Multiply 3

by 1

.

f(1)=3+1

Add 3

and 1

.

f(1)=4

The final answer is 4

.

4

The second point is (1,4)

.

(1,4)

Create a table of the x

and y

values.

xy0114

Graph the line using the slope and the y-intercept, or the points.

Slope: 3

Y-Intercept: 1

xy0114

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Y_Kistochka [10]

Answer:

n + 6 = 7n

Step-by-step explanation:

"The sum of a number and six" would mean the number plus 6: n+6 and "is seven times the number" indicates that it would be equal to the product of 7 for n: 7n. According to this, the answer is that the translation of the sentence into an equation is: n+6=7n.

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7(n + 6) = n is not right because the statement indicates that seven multiplies n on the right side as it says seven times the number.

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4 years ago
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Delvig [45]

Answer:

After 1 second, the ball will reach a maximum height of 16 feet

Step-by-step explanation:

The height of the ball after t seconds: h(t) = -16t^2 + 32t

The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola

t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second

then

h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16

After 1 second, the ball will reach a maximum height of 16 feet

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2 years ago
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Hey!

Hope this Helps...

~~~~~~~~~~~~~~~~~~~~~~~~~

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