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4 years ago

Simplify the expression 11x − (2x2 + 8x).

Mathematics

1 answer:

34kurt4 years ago

5 0

$11x - (2x^2 + 8x)$

$11x-2x^2-8x$

$(11x-8x)-2x^2$

$3x-2x^2$

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How many solutions does the system have? y = x + 1 y = 2x - 5 Please Help

olga55 [171]

Answer:

One solution: x=6, y=7. (6, 7).

Step-by-step explanation:

y=x+1

y=2x-5

-----------

x+1=2x-5

1=2x-x-5

x-5=1

x=1+5

x=6

y=6+1=7

8 0

3 years ago

solve the below systems of equations using linear combination method. 2x + 3y =1. and y= -2x - 9. explain

rusak2 [61]

Answer:

Solving below systems of equations using linear combination method we get

x = -7

y = 5

Step-by-step explanation:

Linear combinations which is also commonly known as the addition method is used for solving the system of equations without graphs

Step 1: arrange the equation in standard form

2x + 3y = 1----------------------(1)

2x + y = -9--------------------(2)

Step 2: Set one of the coefficient to opposite sides

So lets multiply eq(2) with negative sign, so

2x + 3y = 1

-2x - y = 9

Step 3: Perform Addition

2x + 3y = 1

-2x - y = 9

-----------------------

0x +2y = 10

--------------------------

Step 4: Solve for y

2y =10

$y =\frac{10}{2}$

y = 5

Step 5: Substitute y value in equation(1)

2x + 3(5) = 1

2x + 15 =1

2x = 1-15

2x =-14

$x= \frac{-14}{2}$

x = -7

4 0

3 years ago

Express in exponential form log(2)16 = 4

S_A_V [24]

$\bf \textit{exponential form of a logarithm}
\\\\
log_a b=y \implies a^y= b\qquad\qquad 
% exponential notation 2nd form
a^y= b\implies log_a b=y \\\\
-------------------------------\\\\
log_2(16)=4\qquad \qquad \implies \qquad 2^4=16$

8 0

4 years ago

Please assist with this 2 column proof

OverLord2011 [107]

Answer:

use the symmetric and transitive properties of congruence

Step-by-step explanation:

(1) ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF; given

(2) ∠DEF ≅ ∠GHI; symmetric property of congruence

(3) ∠ABC ≅ ∠GHI; transitive property of congruence (QED)

_____

Additional comment

The transitive property says if A≅B and B≅C, then A≅C. We used the symmetric property to swap sides of the congruence symbol with DEF and GHI to put the statement in the form to match the transitive property.

You will note we used the form ...

(statement number) statement; reason

with statement and reason separated by a semicolon.

6 0

3 years ago

At the amusement park there were t-shirts for sale for $18.95 each. James bought 4 of them. About how much did he spend? GIVING

diamong [38]

Answer:

18.95 x 4 =75.8

Step-by-step explanation:

James bought 4 t-shirts for 18.95, so you would multiply it and that would give you a sum of 75.8 or you could also add 18.95 , 4 times to get 75.8.

6 0

3 years ago

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