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lianna [129]
3 years ago
10

Find each product. Leave answer in descending order of power. a) 3x(x-4) b) -2x^2(x+3)

Mathematics
1 answer:
raketka [301]3 years ago
5 0
Hey!
so for A, you just distribute the 3x
the answer would be 3x^2 - 12x

For B what you want to do is the same thing but dont forget to distribute the negative as well!
Your answer would be -2x^3 - 3x^2

Hope this helps!

also since you are multiplying, here is a tip. When you multiply and you have 2 x's that are going to be multiplied like x times x, you want to add the exponent!
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The sum of two numbers is fourteen. One number is two less than three times the other. Find the numbers.
Margarita [4]
So, for the first variable, you would use x, and for the second, y. Then, you would write out 2-(3y)=14. once this is done, youd simplify to 2-3y=14. Subtract 2 from both sides to get 3y=12. Then, divide both sides by 3. this will leave you with y=4. From this you can see the other number is ten. Hope this helped! and i apologize if it is incorrect!
7 0
3 years ago
Let f(x)=(18)3^x. find the equation of the line between the points (-2,f(-2)) and (1,f(1))
horsena [70]

\text{Given that,} \\\\f(x) = 18 \cdot 3^x \\\\f(-2) = 18 \cdot 3^{-2} = 2\\\\f(1) = 18 \cdot 3^1 = 54\\ \\\text{So,}~ (x_1,y_1) = (x_1, f(-2)) = (-2,2) ~\text{and}~ (x_2,y_2) = (x_2, f(1)) = (1,54)\\ \\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{54-2}{1+2} = \dfrac{52}3 \\\\

\text{Equation of line,}\\\\~~~~~~~y - y_1 = m (x-x_1)\\\\\\\implies y-2 = \dfrac{52}3(x+2)~~~~~~~~~~~;[\text{Point-Slope form.]} \\\\\\\implies y-2 = \dfrac{52}3x + \dfrac{104}3\\\\\\\implies y = \dfrac{52}{3}x + \dfrac{104} 3 +2\\\\\\\implies y = \dfrac{52}3 x +\dfrac{110}3 ~~~~~~~~~~~~~~~;[\text{Slope -Intercept form}]

6 0
2 years ago
Amy jogs 1/3 of a mile in 1/15 of an hour, while john takes 1/30 of an hour to jog 1/5 of a mile. If they continue at this rate,
jolli1 [7]

Step-by-step explanation:

Given that,

Amy jogs 1/3 of a mile in 1/15 of an hour and john takes 1/30 of an hour to jog 1/5 of a mile.

Speed of Amy,

v_1=\dfrac{\dfrac{1}{3}\ miles }{\dfrac{1}{15}\ h}=5\ mph

Speed of John,

v_2=\dfrac{\dfrac{1}{5}\ miles }{\dfrac{1}{30}\ h}=6\ mph

John will jog farther in one hour as he is moving with faster speed. The speed of John is 1 mph more than Amy.

6 0
3 years ago
The sum of the ages of two people is 32. The difference is their ages is 4. What is the age of the younger person ?
Gala2k [10]
I believe the answer is 12
5 0
2 years ago
Read 2 more answers
Can somebody help me?
melisa1 [442]
All I know is that it is not a function it is okay for the domain x to repeat but not the y
5 0
3 years ago
Read 2 more answers
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