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balandron [24]
3 years ago
7

(see image for question)

Mathematics
1 answer:
almond37 [142]3 years ago
4 0

Answer:

Hans has done a mistake in the second step.

The correct answer is:

5x^2+13x-6=0

5x^2+15x-2x-6x=0 - 5. -6=-30 -30=15. -2

5x(1+3x)-2x(1+3x)=0

(5x-2x)(1+3x)=0

5-2x=0 1+3x=0

x=5/2 x=-1/3

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A first number plus twice a second number is 9. Twice the first number plus the second totals 27. Find the numbers
SOVA2 [1]
Create a a system of 2 equations: 2x + y = 27 and 2y + x = 9, with x being the first number and y being the second. solve for the two variables and you'll get the first number is 15 and the second is -3.
6 0
4 years ago
A line has the equation 3x ? 4y = 1. Choose the equation of a line that is parallel to the given line.
cupoosta [38]

Answer:

Find a line which also has 3/4 as the slope or 3x - 4y in standard form.

Step-by-step explanation:

If the line is 3x - 4y = 1 then the line which is parallel will have the same coefficients of x and y. Parallel lines never cross and to ensure this have the same slope. The slope is a ratio which can be solved for in an equation using the coefficients of x and y. Here the slope is:

3x - 4y = 1

-4y = -3x + 1

y = 3/4x - 1/4.

Find a line which also has 3/4 as the slope or 3x - 4y in standard form.

7 0
3 years ago
Read 2 more answers
The sum of two numbers is 840. one of the numbers is 357. what is the other number?​
nlexa [21]

Answer:

483

Step-by-step explanation:

840 minus 357 is 483

5 0
3 years ago
Work out the smallest integer value of x that satisfies the inequality 4x-3>22. ( I have not learned this question in maths )
matrenka [14]

4x>22+3

4x>25

x>25/4

x>6.35

5 0
4 years ago
Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water
galben [10]

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

         = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

7 0
4 years ago
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