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zimovet [89]
3 years ago
7

Carol has 50 dollars and spends 10 how much is left

Mathematics
2 answers:
Mkey [24]3 years ago
7 0

 Your answer would be as follows.

50

-10

_____

40

melomori [17]3 years ago
3 0
50 dollars - 10 dollars

40 dollars is left.
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HELP PLEASE! Write a quadratic function that passes through the point (-1,9), has an axis of symmetry of x=-3 and a minimum valu
xxTIMURxx [149]

Answer:

y = \frac{1}{2}x^{2} - 3x + 11.5

Step-by-step explanation:

Vertex form of a quadratic equation;

y = a( x - h )^{2} + k

Vertex of the parabolas (h, k)

The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

y = a ( x + 3 ) ^{2} + 7

Now substitute in the given point; ( -1, 9) and solve for a;

9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7           -7\\2 = 4a\\\frac{1}{2} = a\\

Hence the equation in vertex form is;

y = \frac{1}{2}(x - 3)^{2} + 7

In standard form it is;

y = \frac{1}{2}x^{2} - 3x + 11.5

7 0
3 years ago
1 point) during a winter season at one ski resort, there are two roads from area a to area b and two roads from area b to area
miss Akunina [59]
Probability that both roads from a to b are blocked is the product of the individual probabilities, i.e.
P(~ab)=0.25*0.25=0.0625
Similarly
P(~bc)=0.25*0.25=0.0625
Probability that EITHER one or both of ab and bc are blocked is the sum of the probabilities:
P(~ab ∪ ~bc)=0.0625+0.0625=0.125
(recall that one cannot travel from a to c if either ab or bc is blocked.)

Therefore the probability that there exists an open route from a to c
= P(ac) = 1-P(~ab ∪ ~bc)
= 1 - 0.125
=0.875
5 0
3 years ago
Please answer I will give 20 points!!!
Alenkasestr [34]
The answer is: y= –1/3x–5
8 0
3 years ago
Divide using long division. <br><br> <img src="https://tex.z-dn.net/?f=%284x%5E%7B2%7D%20-5x%2B3%29" id="TexFormula1" title="(4x
frez [133]

Answer:

The quotient = 4x - 17 and the remainder = 54

Step-by-step explanation:

\frac{4x^{2}-5x+3 }{x+3}=4x+\frac{-17x+3}{x+3}

\frac{-17x+3}{x+3}=-17+\frac{54}{x+3}

The quotient = 4x - 17 and the remainder = 54

6 0
3 years ago
Read 2 more answers
Solve equation 3k+45=8k+25
Brrunno [24]

Answer:

k=4

Step-by-step explanation:

First, we can subtract 3k on both sides. It is ultimately easier to start by subtracting the term with a variable. This would result in 45=5k+25. Then, we can subtract 25 on both sides to get closer to isolating k. This becomes 20=5k. We can then divide by 5 on both sides. This means that k=4.

5 0
3 years ago
Read 2 more answers
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