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polet [3.4K]
3 years ago
11

HELP!! I can't fail. 4 and 5 please!

Mathematics
1 answer:
victus00 [196]3 years ago
6 0

Answer:

4) x = -3 or 8

Step-by-step explanation:

We factories each algebraic expression

4) x² -5x - 24 = 0

x² - 8x + 3x - 24 = 0

(x² - 8x) + (3x - 24) = 0

x(x - 8) + 3(x - 8) = 0

(x + 3)(x - 8) = 0

x + 3 = 0, x = -3

x - 8 = 0, x = 8

x = -3 or 8

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Tomtit [17]
It is a blank picture I can’t do anything
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3 years ago
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Point S is on line segment \overline{RT}
Semenov [28]

Answer:

RT = 20

Step-by-step explanation:

Point S is on line segment

R------------S------------T

RS + ST = RT

Given

ST=3x-8

RT=4x

RS=4x-7,

Step 1

We find x

4x - 7 + 3x - 8 = 4x

4x + 3x -7 - 8 = 4x

7x - 15 = 4x

7x - 4x = 15

3x = 15

x = 15/3

x = 5

Step 2

We find RT

RT = 4x

x = 5

RT = 4 × 5

RT = 20

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3 0
3 years ago
Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. URGENT
Bad White [126]

Answer:

-39+5(-41)=244

Step-by-step explanation:

Consider 3 consecutive integers: (smallest) x, x+1 and x+2 (largest)

Five times the smallest means 5x

Sum of the largest and five times the smallest means x+2+5x

This sum is -244 means x+2+5x=-244

Solve this equation

x+2+5x=-244

6x+2=-244

6x=-244-2

6x=-246

x=-41

So, smallest number is -41, second is -40 and largest is -39

= -39+5(-41)=244

Hope this helps, have a nice day/night! :D

5 0
3 years ago
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle
Hatshy [7]

Answer:56.8 inches

Step-by-step explanation:

For perimeter we must find the lengths of the 2 diagonal sides of the triangle which are the same because it is isosceles.

the triangle is cut directly in half so both halves of the base are 17/2

17/2 = 8.5

solve through pythagoren theorum

altitude^2 + (half of base)^2 = (diagonal length)^2

18^2 + (8.5)^2 = (diagonal length)^2

324 + 72.25 = (diagonal length)^2

396.3 = (diagonal length)^2

\sqrt{396.3} = diagonal length

diagonal length = 19.9

diagonal length + diagonal length + base = perimeter

19.9 + 19.9 + 17 = perimeter

56.8 inches = perimeter

6 0
2 years ago
Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales. An equation y=mx+b represents Dave’s weekly
eduard
<span><u><em>Answer:</em></u>
Dave makes $350 

<u><em>Explanation:</em></u>
In order to find this answer, we must first establish the equation for his earnings.
<u>We use slope intercept form:</u>
 y = mx + b,
where m = slope and b = y-intercept.

Since the problem states that his commission percentage is the slope and his base salary is the y-intercept, we can use them in the equation <u>to get the following: </u>
y = 0.1x + 200.

Now knowing that the x is the amount he sells, we can use the $1500 as x to find his total pay for the week:.
y = 0.1(1500) + 200,
y = 150 + 200,
y = 350. </span>
6 0
2 years ago
Read 2 more answers
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