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nekit [7.7K]
3 years ago
9

What are the roots of the function y = 4x2 + 2x – 30? To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x

– 30.
Factor out the GCF of .
Next, factor the trinomial completely. The equation becomes .
Use the zero product property and set each factor equal to zero and solve. The roots of the function are .
Mathematics
2 answers:
nasty-shy [4]3 years ago
8 0
4x² + 2x - 30 = 0
<span>
factor out the GCF:
</span>2(2x² + x - 15) = 0
<span>
factor the trinomial completely:
2x</span>² + x - 15 = 0
2x² + 6x - 5x - 15 = 0
2x(x + 3) - 5(x + 3) = 0
(2x - 5)(x + 3) = 0

<span>use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0     or     x + 3 = 0
2x = 5                   x = -3
x = 2.5

</span><span>The roots of the function are x=-3,  x=2.5</span>
umka2103 [35]3 years ago
3 0

Factor out the GCF of "2."  Next factor the trinomial completely. The equation becomes "0=2(2x-5)(x+3)." Use the zero product property and set each factor equal to zero and solve. The roots of the function are "-3 and 5/2."

Hope this helps!


-Charlie

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The rectangle has width x feet, and its length is five feet longer than its width what is the expression
weeeeeb [17]
<span>x^2 +5x Should be your answer because:
</span><span>Rectangle area=width * length </span>
<span>Width= x </span>
<span>Length=x+5 </span>
<span>Rectangle area=x*(x+5)=x^2 + 5x, 

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4 years ago
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There are cars, trucks, and motorcycles in our company parking lot. The ratio of cars to trucks to motorcycles is $4:3:2.$ If th
Keith_Richards [23]

Answer:

12

Step-by-step explanation:

The ratio of cars to trucks to motorcycles is $4:3:2.

If there are $42$ cars and trucks total,

To get how many motorcycles are there

Sum up the ratio of cars and trucks 4:3= 4+3 = 7

Sum up the ratio of cars and trucks and motorcycles

4+3+2 =9

Let the total number of cars and trucks and motorcycles be represented as A

The total number of cars and trucks in the question is 42

(7/9) x A = 42

7A/9 = 42

cross multiply

7A = 42×9 = 378

A= 378/7 = 54

The total number of cars and trucks and motorcycles is 54

To get the number of motorcycles can be calculated through

a. The total number of cars and trucks and motorcycles subtracted by the number of cars and trucks = 54-42=12 or use the ratio which is

2/9 × 54 = 2×6=12

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3 years ago
WILL GIVE BRAINLIEST PLEASE HELP
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-2x+6=-8+10x
12x=14
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7 0
4 years ago
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Convert 6 feet into meters. round to the nearest tenth
kirza4 [7]
20 feet.

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I don't understand this question, help me, someone, please
vodomira [7]

Answer:

Arranging the terms from least to greatest:

\frac{3039}{1000}

Now actual terms arranged from least to greatest will be:

3\frac{39}{1000}

Step-by-step explanation:

We need to arrange the weights 3\frac{1}{5} ,3\frac{39}{1000},3\frac{99}{100},3\frac{52}{10} from least to greatest.

To arrange them in least to greatest we need to convert them into improper fractions and then make their denominators same.

3\frac{1}{5}=\frac{16}{5} \\3\frac{39}{1000}=\frac{3039}{1000} \\3\frac{99}{100}=\frac{399}{100} \\3\frac{52}{10}=\frac{82}{10}

Now, Making their denominator same by taking LCM of 5,1000,100 and 10

The LCM is 1000

Now the fractions will become:

\frac{16}{5}=\frac{16*200}{5*200}=\frac{3200}{1000}

\frac{399}{100}=\frac{399*10}{100*10}=\frac{3990}{1000}

\frac{82}{10}=\frac{82*100}{10*100}=\frac{8200}{1000}

Now we have fractions: \frac{3200}{1000},\frac{3990}{1000},\frac{8200}{1000},\frac{3039}{1000}

Now the smallest term will be one having smallest numerator

Arranging the terms from least to greatest:

\frac{3039}{1000}

Now actual terms arranged from least to greatest will be:

3\frac{39}{1000}

3 0
3 years ago
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