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3 years ago

The product of some negative number and 4 less than twice that number is 286 find the number

1 answer:

5 0

Let's say that number is hmmm "a"

now.. twice "a" is 2*a or 2a
4 less than that is " 2a - 4"

now, the product of those two fellows is 286, well ok

a( 2a - 4) = 286

thus

$\bf a(2a-4)=286\implies 2a^2-4a^2=286\implies a^2-2a^2=143
\\\\\\
a^2-2a^2-143=0\implies (a-13)(a+11)=0
\\\\\\
\begin{cases}
a-13=0\implies &a=13\\
a+11=0\implies &\boxed{a=-11}
\end{cases}$

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Simplify the expression. x2/3 · x7/2

WITCHER [35]

Answer:

x^2/3 x7/2

=1/6 x^9

Step-by-step explanation:

try using mathpapa

6 0

2 years ago

Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation

Vadim26 [7]

Answer: 250=70x+50

Step-by-step explanation:

250 being the total would go at the equal sign

250=

And since it says 70 Per car that means it would be 70x so

250=70x

50 dollars in tips is a total so

250=70x+50 is your equation

3 0

3 years ago

Read 2 more answers

Suppose that the function g is defined, for all real numbers, as follows.

svetoff [14.1K]

Answer:

a) g(-2) = 0

b) g(-1) =1

c) g(4) = 2

Step-by-step explanation:

Given data

$g(x) = \frac{-1}{4x+1} if x < -2$

$g(x) = - (x+1)^{2} +1 if -2\leq x\leq 2$

$g(x) = 2 if x >2$

Step( i ):-

$g(x) = - (x+1)^{2} +1 if -2\leq x\leq 2$

put x = -2

$g(-2) = -(-2+1)^{2} +1 = -(-1)^{2}+1 = -1+1 =0$

g(-2) = 0

Step(ii):-

$g(x) = - (x+1)^{2} +1 if -2\leq x\leq 2$

Put x = -1

$g(-1) = -(-1+1)^{2} +1 = -(0)^{2}+1 = -0+1 =1$

g(-1) =1

Step(iii):-

$g(x) = 2 if x >2$

g(4) = 2

7 0

3 years ago

Ishaan is 333 times as old as christopher and is also 141414 years older than christopher.

GalinKa [24]

Ishaan is 21, Christopher is 7 No actual question given, but I will assume that the question is "How old are they?". If that's the case, we can create two equations. I'll use I for Ishaan's age and C for Christopher's. I will also assume that there's been some formatting issues here and for some reason, numbers are repeated 3 times without any spaces. So "Ishaan is 3 times as old as Christopher" I = 3C "is also 14 years older than Christopher I = C + 14 Since both equations are equal to each other, let's set them equal. So 3C = C + 14 2C = 14 C = 7 So Christopher is 7. And we can use the equation I = C + 14 to get Ishaan's age. So I = C + 14 I = 7 + 14 I = 21

3 0

3 years ago

In kite ABCD, mZBAE = 28º and mZBCE = 58°. Find mZABE. B E А С D mLABE =

Digiron [165]

Answer:

m∠ABE = 62°

Step-by-step explanation:

Since, the given quadrilateral is a kite, diagonals will intersect at 90°.

Therefore, m∠AEB = m∠CEB = 90°

m∠BAE = 28° [Given]

m∠BCE = 58° [Given]

From ΔABE,

m∠BAE + m∠BEA + m∠ABE = 180°

28° + 90° + m∠ABE = 180°

m∠ABE = 180° - 118°

= 62°

Therefore, measure of angle ABE = 62°.

3 0

3 years ago