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77julia77 [94]
3 years ago
14

What is the value of x in the question 7x+2y=48,when y =3

Mathematics
2 answers:
olga55 [171]3 years ago
8 0
You want to find the value of x, and you know that y = 3.
1) First plug y = 3 into the equation:
<span>7x + 2y = 48
7x + 2(3) = 48
7x + 6 = 48

2) Now solve the equation </span>7x + 6 = 48 for x by subtracting 6 from both sides, then dividing both sides by 7.
7x + 6 = 48 
7x = 42
x = 6

--------

Answer: x = 6

Anika [276]3 years ago
5 0
The answer is 6 when you multiply 2 by 3
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What are three numbers that are greater than 543,000 but less than 544,000
Bumek [7]
543,356 and 543,456 so it is pretty simple right
8 0
2 years ago
Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)
Sedbober [7]

Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


6 0
2 years ago
Is the binomial a factor of the polynomial nominal function?
Sedbober [7]

The factors for given equation f(x)=x^{3} +3x^{2} -25x-75.

  • (x-1) - No
  • (x-3) - No
  • (x+3) - Yes
  • (x-5) - Yes
  • (x+5) - Yes

<u>Step-by-step explanation:</u>

The given equation is f(x)=x^{3} +3x^{2} -25x-75 .

Add 0 at the end of the equation.

x^{3} +3x^{2} -25x-75 = 0.

Let us group the given equation,

(x^{3} +3x^{2}) -(25x-75) =0.

⇒ Group 1: x^{3} +3x^{2} .

Group 2: - 25x +75 .

Pull out factor from each group,

⇒ Group 1: (x+3)(x^{2}).

Group 2: (x+3) (-25).

Join the two group since both (x+3) is common in both groups.

(x+3)(x^{2} -25) =0.

One of the factor is (x+3).

Other factors are solved by the formula, a^{2}-b^{2} = (a+b) (a-b) .

(x+3)(x^{2} -25) = (x+5) (x-5) .

The other factors are (x+5) and (x-5).

7 0
3 years ago
What is the equation of the line in slope-intercept form?
kondor19780726 [428]

Answer:

The answer would be C because b=+16 which means that it intercepts line y at 16, which is shown in the graph.

Step-by-step explanation:

5 0
2 years ago
Please help! I will give brainliest to the best answer!
Ahat [919]

Answer:

A

Step-by-step explanation:

y < 1/2x + 1

7 0
2 years ago
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