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statuscvo [17]
3 years ago
10

What is the solution to the equation? (x-3)(x-5)=35

Mathematics
1 answer:
iren2701 [21]3 years ago
6 0
Expand the equation:
x^2-8x+15=35
x^2-8x-20=0

Solve using quadratic formula:

x=\frac{-(-8)+ \sqrt{(-8) ^{2}-4*1(-20 } }{2*1}

x=10 is the final answer
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Plz help<br> This is algebra
viktelen [127]
A is the correct answer because the 5 on the y-axis would be going horizontal across the graph and perpendicular to the x-axis. And when it’s in that form it’s always undefined
8 0
3 years ago
Which point of intersection is the solution to the system that of equations y= 2/5x-1/2 and y=-1/3x+2/3
Mrrafil [7]

Answer:

x = 35/22

y = 3/22

Step-by-step explanation:

y= 2/5x-1/2 ................(1)

y=-1/3x+2/3 ...............(2)

10*(1)

10y = 4x -5 ...................(1A)

3*(2)

3y = -x +2  ....................(2A)

To find intersection, solve for y & x

4(2A) + (1A)

12y+10y = -4x+4x +8-5

22y = 3

y = 3/22

Substitute in (1)

3/22 = 2/5x -1/2

multiply by 110

15 = 44x - 55

70 = 44x

x = 70/44 = 35/22

5 0
3 years ago
Write an equation in slope intercept form of a line that is perpendicular to the line y=6x+1 and contains the point (12,-1). Sta
uranmaximum [27]

Answer:

The equation of the line would be y = -1/6x + 1

Step-by-step explanation:

In order to find this, we first need to set the slope. Since the original slope is 6, we know the new slope to be -1/6. This is because perpendicular slopes have opposite and reciprocal slopes. So, we put this and the point into point-slope form.

y - y1 = m(x - x1)

y - -1 = -1/6( x -12)

y + 1 = -1/6x + 2

y = -1/6x + 1

6 0
4 years ago
Alton has been recording the number of apples on his apple tree each week:
Alex_Xolod [135]
1 represent the number of apples at the start.
5 0
3 years ago
Read 2 more answers
the average mark of three pupils are 68. what is the ratio of 5:4:3. how many marks did the best student get? HELP ME! ​
noname [10]

Answer:

85, 68, 51

Step-by-step explanation:

Average: The sum of all the numbers divided by the number of numbers

If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x

Then using the definition of an average, we can write this equation.

(5x + 4x + 3x) / 3 = 68

Multiply both sides by 3.

5x + 4x + 3x = 68 * 3

Simplify.

12x = 204

x = 17

Now, substitute x = 17 into the original scores (5x, 4x, and 3x)

5x = 5 * 17 = 85

4x = 4 * 17 = 68

3x = 3 * 17 = 51

Just in case, let's check this answer. Find the average of the 3 test scores.

(85 + 68 + 51) / 3 =

204 / 3 = 68

Thus, the answers are correct

3 0
3 years ago
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