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avanturin [10]
3 years ago
7

Find three consecutive integers such that the product of the first and third is 5 greater than 5 times the second.

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0

Answer:

Step-by-step explanation:

3 consecutive integers....

1st integer = x

2nd integer = x + 1

3rd integer = x + 2

the product of 1st and 3rd is 5 greater then 5 times the 2nd...

x(x+2) = 5(x + 1) + 5

x^2 + 2x = 5x + 5 + 5

x^2 + 2x = 5x + 10

x^2 + 2x - 5x - 10 = 0

x^2 - 3x - 10 = 0

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

x - 5 = 0             x + 2 = 0

x = 5                   x = -2

so it will be : 5,6,and 7     or -2,-1, and 0

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Cloud [144]

Answer:

A = (3,-2)  

reflect along the y -axis ; set x=-x  

(-3,-2)  

reflect along the x-axis ; set y=-y  

A' = (-3,2)  

Same for B,C and D  

ABCD is reflected across the y-axis and then the x-axis.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
16/__ = -8<br> ___/12 = -6
Karolina [17]

Answer:

1.) - 2

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Step-by-step explanation:

hope this helps

6 0
4 years ago
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Help me please, its mathwatch
mars1129 [50]

Answer:

<h2>60 cm^2</h2>

Solution,

Let ,

a = 13

b = 13

c= 10

then,

s = a + b + c /2

= 13 + 13 + 10 / 2

= 36/2

= 18

Now,

Area of triangle:

\sqrt{s(s - a)(s - b)(s - c)}

\sqrt{18(18 - 13)(18 - 13)(18 - 10)}

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Hope this helps ....

Good luck on your assignment...

6 0
4 years ago
Solve the following inequality. Then place the correct number in the box provided. 3x + 5 &lt; 6x - 1
HACTEHA [7]
The answer would be x>2
8 0
4 years ago
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NEED ANSWERS NOW!! (Reward) brainlest and pointsss
geniusboy [140]

Answer:

D

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms

     = - 0.6(x² - 7x) + 240

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 7x

f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240

      = - 0.6 (x - 3.5)² + 7.35 + 240

     = - 0.6(x - 3.5)² + 247.35

with vertex = (3.5, 247.35 )

The maximum value is the y- coordinate of the vertex

Then

f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35

5 0
3 years ago
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