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Minchanka [31]
3 years ago
12

Xavier has $23.50 in his savings account. He deposits $35 every week. His mother also deposits $20 into the account every time X

avier washes the car. His savings account balance can be shown with the following expression:
20c + 35w + 23.50

Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points)

Part B: If Xavier saves for 12 weeks and washes the car 3 times, how much will he have in his account? Show your work to receive full credit. (4 points)

Part C: If Xavier’s mother deposited $25 after each car wash, would the coefficient, variable, or constant in the expression change? Why? (3 points)
Mathematics
1 answer:
andrezito [222]3 years ago
8 0
Part A the coefficient is 20c and 35w, the variable is c and w representing cost and week. and the constant is 23.50.

Part B He would have 503.50 because <span><span>35</span><span>(12)</span></span>+60<span>=<span><span>420x</span>+<span>60+23.50 which would be 503.50

Part C The coefficient of the cost would change because you would be adding a 5 dollar increase!!!!!! done</span></span></span>
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Find the value of c so that (x-5) is a factor of the polynomial p(x)
liubo4ka [24]

I think the question is

Find the value of c so that (x-5) is a factor of the polynomial

p(x) = x^3 + 2x^2 + cx + 10

The other factor is going to be some quadratic.  We can say a few things about its coefficients but let's start by saying in general it's

q(x)= ax^2 + bx + k

p(x) = (x-5)q(x)

x^3 + 2x^2 + cx + 10 = (x-5)(ax^2 + bx+k) = ax^3 + (b-5a)x^2 + (k-5b)x - 5k

Equating respective coefficients,

a=1

b-5a = 2

k - 5b = c

-5k = 10

so we get

b = 2 + 5 = 7

k = 10/-5 = -2

c = k - 5b = 2 - 5(7)= -37

Answer: -37

Check:

(x^2 + 7x - 2)(x - 5) = x^3 + 2 x^2 - 37 x + 10\quad\checkmark




7 0
3 years ago
HELP PLEASEEEE ITS DUE SOON! SHOW YOUR WORK &amp; ILL GIVE BRAINLIEST I PROMISE
laiz [17]

Answer:

(2,10) or x=2 y=10

Step-by-step explanation:

<em>1. Pick one of your equations and solve for a variable. I chose the first equation and solved for x.</em>

5x-2y=-10 (Move the -2y to the other side, you need to do the opposite so you add +2y to -10)

5x=2y-10 (Divide the 5 from the x)

x=2/5y-2

<em>2. Now take what you got for x and plug it into the x variable on the other equation.</em>

3(2/5y-2)+6y=66 (Multiply 3 by 2/5y and -2)

6/5y-6=6y=66 (Move the -6 to the other side and add 6/5y to 6y)

36/5y=72 (Since the number on the y is a fraction, you must do the opposite to the other side)

y=72/1 x 5/36 (Flip your fraction and multiply it by the 72)

y=10

<em>3. Now that you have one of the variables solved for, in order to get the other we must plug in what we have to the first equation.</em>

5x-2(10)=-10 (Multiple 2 by 10)

5x-20=-10 (Move -20 to the other side, since you do the opposite add +20 to the -10)

5x=10 ( Divide 10 by 5)

x= 2

<em>4. If needed, plug in the values of x and y to check your solution.</em>

Hope this could help! :)

3 0
2 years ago
A triangle has side lengths of 17 inches, 19 inches, and 10 inches. What kind of triangle is it?
Virty [35]

Answer:

Scalene triangle

Step-by-step explanation:

a scalene triangle has 3 uneven sides

8 0
2 years ago
Why do whole numbers raised to an exponent get greater well fractions raised to an exponent get smaller
adelina 88 [10]
Because when you raise an exponent on a fraction, it is basically dividing into itself.  Imagine 1/3 multiplied my 3 (Ans is 1), the fractions aren't whole numbers so when they multiply into another number, it uses division
4 0
3 years ago
Oliver has a box of toy cars, but he is not sure how many he has. If he arranges the cars in groups of four, he has three left o
Zarrin [17]
X/4 = r3 or 3/4
x/3 = r2 or 2/3
x/5 = r3 or 3/5

we know x is not divisible by 4 3 or 5 and is less than 30.

we know the value ends in 3 or 8 from x/5 = r3

we know the value is greater than 3 from r3

so far we got 13 and 23

13 is eliminated from x/4 = r3 because it is r1 not r3

so the answer is 23




7 0
3 years ago
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