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MAVERICK [17]
3 years ago
5

The product of two consecutive integers is equal to 14 more than 4 times the sum. This can be simplified to x²-7x-18=0. What are

the two integers?
Mathematics
1 answer:
WITCHER [35]3 years ago
7 0

Answer:

-1 and -2, or 9 and 10

Step-by-step explanation:

If x is the smaller integer:

x (x + 1) = 14 + 4 (x + x + 1)

x² + x = 14 + 4 (2x + 1)

x² + x = 14 + 8x + 4

x² − 7x − 18 = 0

Factor using AC method:

(x − 9) (x + 2) = 0

x = -2 or 9

x is the smaller integer, so the larger integers are -1 and 10.  Check each pair of solutions.

-1 and -2:

(-2) (-1) = 14 + 4 (-2 + -1)

2 = 14 + 4 (-3)

2 = 2

9 and 10:

(9) (10) = 14 + 4 (9 + 10)

90 = 14 + 4 (19)

90 = 90

Both solutions work.

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Step-by-step explanation:

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7- 3.3, 3.30

8- 9.3000, 9.30

9- 9.6, 9.600

10- 4.4000, 4.40

for #4-5 just put the number of 0s in the denominator of the fraction for the answer

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3 years ago
Round 51.78 to the greatest place
zloy xaker [14]

Answer:

Step-by-step explanation:

51.78 is rounded up to 52

6 0
3 years ago
Use the formula P=2l+2w to find the perimeter of a rectangle with length l=52 cm and width w=86 cm.
Mashcka [7]
The perimeter for this rectangle is: 276
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3 years ago
6 A U 3 3 1 2 3 What is the equation of the line in slope-intercept form? The equation of the line is​
AleksandrR [38]

Answer:

y = -\frac{5}{4} x+5

Step-by-step explanation:

1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points.  Use the slope formula m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of those points into it, then simplify:

m =\frac{0-5}{4-0} \\m = \frac{-5}{4}

So, the slope is -\frac{5}{4}.

2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.

3) Substitute values for m and b in the slope-intercept formula, y = mx + b, to write the equation of the line. Since m represents the slope, substitute -\frac{5}{4} for it. Since b represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:

y = -\frac{5}{4} x+5

5 0
3 years ago
What's (5xty)-(4x-9)??? And what's 33.7y+8.4-2.04y??? And 4.2x+8.1x+1.8x-2.1x??? And x+2(x-y)???
Katyanochek1 [597]
You're first problem is unclear as I am not sure if that t was suppose to be there or not. 

but as for the second one (33.7y+8.4-2.04y)  we would first have to combine like terms so you'd subtract 2.04y from 33.7y , which would give you ; 33.66y so now your answer would be " 33.66y + 8.4 ", 
there's nothing more you can do because they're seperate terms c: . 

Your third problem ( 4.2x+8.1x+1.8x-2.1x ) is also combining like terms. Add the first 3 terms and that'll give you 14.1x , now subtract 2.1x and that'll give you "12x" as your final answer ~

For your fourth problem x+2 ( x-y ) , you would have to do something called factoring , basically all you gotta do is distribute term by term. So, x times x would give you x^2 , x times -y would give you -xy , 2 times x is 2x , and 2 times -y is -2y , so that'll look somethng like x^2 - xy + 2x - 2x . Now the 2x's cancel out
and you are left with "x^2 - xy"  as your final answer ~
4 0
3 years ago
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