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MrRa [10]
2 years ago
15

Sydney needs to earn $35 so she can buy her father a birthday present. her mom said she can make $6 per hour cleaning around the

house and $5 per hour raking leaves. there are 6 hours available before sydney's father's birthday party where she can either clean or rake leaves. which system of equations can be used to find how many hours sydney should spend cleaning and raking leaves so that she will earn exactly enough money to buy her father a birthday present? let x represent the number of hours spent cleaning and y represent the number of hours spent raking leaves.
Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
4 0

Answer:

if i can be brainliest that would be great

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

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Ava said "There are only three hundred 3- diget numbers" is her statement true or faulse
Eduardwww [97]

Answer: False, there are actually 900 different three-digit numbers

========================================================

Explanation:

The three digit numbers span from 100 to 999, including both endpoints.

This means we have 999-100+1 = 900 different three-digit numbers.

You subtract the endpoints (large-small) and add 1 to include the lower endpoint.

Here's a smaller example of why this works: say you had the set {1,2,3,4} and we wanted to count the number of items in this set. Clearly there are 4 items. Note how subtracting the endpoints 4-1 gets us 3 instead, so we add on 1 to include that left endpoint.

3 0
2 years ago
Mia opens a coffee shop in the first week of January. The function W(x) = 0.002x3 - 0.01x2 models the total number of customers
Len [333]
We need to know the function that models the difference in the number of customers visiting the two stores.
 We know the function that models the number of customers in the cafeteria
 W (x) = 0.002x3 - 0.01x2
 We also know the function that models the number of customers who visit the ice cream parlor 
 R (x) = x2 - 4x + 13
 Therefore the difference, D (x), in the number of customers visiting the two stores is:
 D (x) = W (x) - R (x)
 D (x) = 0.002x ^ 3 - 0.01x ^ 2 - (x ^ 2 -4x +13)
 D (x) = 0.002x ^ 3 - 0.01x ^ 2 - x ^ 2 + 4x -13

D (x) = 0.002x ^ 3 - 1.01x ^ 2 + 4x -13
<span> The answer is the third option</span>

8 0
2 years ago
Read 2 more answers
The star aldebaran, visible from earth, lies about 65 light years away from us. What is the minimum amount of time that would be
makkiz [27]
A beam of light (travelling at the speed of light) would take 65 years to go and 65 years to come back from aldebaran, i.e. 130 years. You can send and receive a radio message (travelling at the speed of light, being electromagnetic radiation) taking so 130 years.
8 0
2 years ago
Fiona wrote the linear equation y = x – 5. when henry wrote his equation, they discovered that his equation had all the same sol
djverab [1.8K]
I would go with A but I am not 100% sure so you may want to check however you can.
6 0
2 years ago
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here is a list of numbers. 7,12,16,20,27,40,56,64. a work out the difference between the two square numbers in the list. b work
poizon [28]

Answer:

see below

Step-by-step explanation:

7,12,16,20,27,40,56,64

The square numbers are 16 = 4^2   and 64 = 8^2

The difference is 64 - 16 =48

The cube numbers are 27 = 3^3 and 64 = 4^3

64 - 27 =37

4 0
2 years ago
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