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chubhunter [2.5K]
3 years ago
13

Which algebraic expression is equivalent to the expression below?

Mathematics
1 answer:
V125BC [204]3 years ago
4 0
Let's simplify step-by-step.<span><span>5<span>(<span><span>4x</span>+3</span>)</span></span>+<span>5<span>(<span>9−x</span>)</span></span></span>Distribute:<span>=<span><span><span><span><span>(5)</span><span>(<span>4x</span>)</span></span>+<span><span>(5)</span><span>(3)</span></span></span>+<span><span>(5)</span><span>(9)</span></span></span>+<span><span>(5)</span><span>(<span>−x</span>)</span></span></span></span><span>=<span><span><span><span><span>20x</span>+15</span>+45</span>+</span>−<span>5x</span></span></span>Combine Like Terms:<span>=<span><span><span><span>20x</span>+15</span>+45</span>+<span>−<span>5x</span></span></span></span><span>=<span><span>(<span><span>20x</span>+<span>−<span>5x</span></span></span>)</span>+<span>(<span>15+45</span>)</span></span></span><span>=<span><span>15x</span>+<span>60

Answer is B</span></span></span>
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Determine the maximum number of zeros and the x-intercepts of the function: (x^2-x-2)(3x-2)
schepotkina [342]

Answer:

3

Step-by-step explanation:

note that zeros and x-intercepts are the same with different names

There are 2 zeros from the quadratic factor and 1 from the linear factor.

To find them equate the function to zero, that is

(x² - x - 2)(3x - 2) = 0

(x - 2)(x + 1)(3x-2) = 0 ← factoring the quadratic

equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 1 = 0 ⇒ x = - 1

3x - 2 = 0 ⇒ x = \frac{2}{3}


4 0
3 years ago
What is the volume of a cube with a side length of 5 cm? help asap
uranmaximum [27]
V = a * b * c 
a,b,c- lengths of sides 
in here a=b=c=5cm 
V=5*5*5 = 125 cm^3

or 
V=a^3 = 5^3 =125 cm^3
6 0
3 years ago
9-(6x+1)=3x+8 what is it thank you
Jobisdone [24]

Answer:

0=x

Step-by-step explanation:

9-(6x+1)=3x+8

9-6x-1=3x+8

9-8-1=3x+6x

9-9=9x

0=9x

0÷9=x

0=x

5 0
3 years ago
Change 21/4 to a mixed number​
8090 [49]

Answer:

5\frac{1}{4}

Step-by-step explanation:

Greatest multiplier of 4 that is less than 21 is 5 (4 x 5 = 20)

Put the remaining number as the numerator (21 - 20 = 1)

3 0
3 years ago
Math
Snezhnost [94]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Here's the solution ~

\qquad \sf  \dashrightarrow \: 7.2 + (2x + 0.4)

\qquad \sf  \dashrightarrow \: 7.2 + 2x + 0.4

\qquad \sf  \dashrightarrow \: 7.2 +0.4 + 2x

\qquad \sf  \dashrightarrow \: (7.2 +0.4) + 2x

Therefore, the correct choice is A

3 0
2 years ago
Read 2 more answers
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