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Lisa [10]
2 years ago
15

Write the equation for a line with a slope of 2 that passes through the point (1,4)

Mathematics
1 answer:
vredina [299]2 years ago
4 0

Answer:

y=2x+2 in slope-intercept form

y-4=2(x-1) in point-slope form

Step-by-step explanation:

I used the slope to find other points and the the y-intercept to put it into slope-intercept form.

I plugged the numbers into the formula and got the point-slope equation.

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Brooke made 10 liters of juice blend that is 60% juice for her brothers birthday party but her mother wants her to make it 80% j
ANEK [815]
The answer is 2 litters of juice


6 0
3 years ago
The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers. a) set up the variables Let _
Gelneren [198K]

Answer:

  • 34 and 17

Step-by-step explanation:

a) set up the variables

Let x represent the first number Then  y will represent the second number.

b) What is the equation that represents the above situation?

  • x = 2y
  • x + y = 51

c) Solve the equation.

<u>Substitute x in the second equation and solve for y:</u>

  • x + y = 51
  • 2y + y = 51
  • 3y = 51
  • y = 51/3
  • y = 17

<u>Then find x</u>

  • x = 2y = 2*17 = 34
4 0
3 years ago
Read 2 more answers
What is the sum of the 11th square number and the 2nd cube number?
natulia [17]

Answer:

11

Step-by-step explanation:

5 0
2 years ago
HELP ME ASAP NOW PLEASE!
Aleksandr [31]
1760
13+25+10/150=.32
.32x5500=1760
8 0
3 years ago
Which statements about the function are true? Select two
iogann1982 [59]

Answer:

The vertex of the function is at (1,-25)

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one.

<em>Part of the graph of the function f(x) = (x + 4)(x-6) is shown  below. </em>

<em>Which statements about the function are true? Select two </em>

<em>options. </em>

<em>The vertex of the function is at (1,-25). </em>

<em>The vertex of the function is at (1,-24). </em>

<em>The graph is increasing only on the interval -4< x < 6. </em>

<em>The graph is positive only on one interval, where x <-4. </em>

<em>The graph is negative on the entire interval  </em>

My answer:

Given the factored form of the function:

f(x) = (x + 4)(x-6)

<=> f(x) = x^{2} - 2x -24

We will convert to vertex form

<=> f(x) = (x^{2} - 2x +1) - 25

<=> f(x) = (x-1)^{2} -25

=> the vertex of the function is: (1,-25)

We choose: a. The vertex of the function is at (1,-25)

Let analyse other possible answers:

<u>c. The graph is increasing only on the interval -4< x < 6.</u>

Because the parameter a =1 so the graph open up all over its domain and the vertex is the lowest point.

So the graph is increasing in the domain (1, +∞)

=> C is wrong

<u>d. The graph is positive only on one interval, where x <-4</u>

Wrong, The graph is positive only on one interval, where x > 6

<u>e. The graph is negative on the entire interval</u>

Wrong, The graph is negative only on one interval, where -4< x < 6.

7 0
3 years ago
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