Answer: The line representing the function has its y-intercept at 40. So, the initial value of the function graphed is 40.
Step-by-step explanation:
The equation of the line passing through the points (-2,3) and (-3,5) will be 2x + y + 1 = 0 and the rate of change is negative 2.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A linear function passes through the points (-2,3) and (-3,5). Complete the following tasks to find the equation of the function.
Then the equation of the line passing through the points (-2,3) and (-3,5) will be
[tex]\begin{aligned} y - 5 &= \dfrac{5-3}{-3 + 2} (x + 3)\\\\y - 5 &= -2 (x + 3)\\\\y - 5 &= -2x -6\\\\2x + y + 1 &= 0 \end{aligned}[/tex]
The rate of change is negative 2.
More about the linear system link is given below.
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What number goes in the “?”
? - 2x - 5 = 5
Find the missing length marked with a question mark.
UVW-USR
Given:
[tex]\Delta UVW\sim \Delta USR[/tex]
To find:
The missing length marked with a question mark.
Solution:
Let x be the missing value.
We have,
[tex]\Delta UVW\sim \Delta USR[/tex]
Corresponding sides of similar triangles are proportional, so
[tex]\dfrac{UV}{US}=\dfrac{VW}{SR}=\dfrac{UW}{UR}[/tex]
Using this, we get
[tex]\dfrac{UV}{US}=\dfrac{UW}{UR}[/tex]
On substituting the values, we get
[tex]\dfrac{70}{x}=\dfrac{55}{44}[/tex]
[tex]\dfrac{70}{x}=\dfrac{5}{4}[/tex]
On cross multiplication, we get
[tex]70\times 4=5\times x[/tex]
[tex]280=5x[/tex]
[tex]\dfrac{280}{5}=x[/tex]
[tex]56=x[/tex]
Therefore, the missing length is 56 units.
There are 40 animals in Mang Roman's farm.The ratio of cows to carabaos to goats to horses is 4:2:3:1. How many animals of each kind are there in Mang Roman's farm.
Answer:
there are
16, 8, 12 and 4 different animals
Step-by-step explanation:
Step-by-step explanation:
Step one:
given data
Number of Animals = 40
The given ratio is = 4:2:3:1
The total ratio is = 4+2+3+1= 810
Step two;
Applying the part to all method
The first animal
4/10=x/40
cross multiply
10x= 40*4
divide both sides by 10
x= 160/10
x= 16
for second we have
2/10=x/40
cross multiply
10x= 40*2
divide both sides by 10
x= 80/10
x= 8
for the third we have
3/10=x/40
cross multiply
10x= 40*3
divide both sides by 10
x= 120/10
x= 12
for the fourth we have
1/10=x/40
cross multiply
10x= 40*1
divide both sides by 10
x= 40/10
x= 4
Calculate the total cost of a meal that cost $45.12 if the sales tax is 5.2% and yo want to leave a
17% tip.
Answer:
55.53
Step-by-step explanation:
45.12
5.2%= 1.052
new price= original(1+5.2%)
x=45.12(1.052)
×=47.46624+17%
=55.53
Nicole runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
Answer:10.5 ml
Step-by-step explanation:do 75/50=1.5
Do 7 times 2.6 and get 7+2.5=10.5 miles
Two hikers are miles apart and walking toward each other. They meet in hours. Find the rate of each hiker if one hiker walks mph faster than the other. The speed of the slow hiker is nothing mph, and the speed of the fast hiker is nothing mph.
Complete question : Two hikers are 33 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 2.2 mph faster than the other. The speed of the slow hiker is nothing mph, and the speed of the fast hiker is nothing mph.
Answer:
2.2 mph ; 4.4 mph
Step-by-step explanation:
Given that :
Total distance apart = 33
Time taken = 5 hours
Rate of slow hiker = x
Rate of fast hiker = x + 2.2
Speed (rate) = distance / time
Distance = speed * time
Distance covered by fast hiker + distance covers by slow hiker
(x + 2.2)*5 + 5x = 33
5x + 11 + 5x = 33
10x = 33 - 11
10x = 22
x = 22 / 10
x = 2.2
Rate of slow hiker = 2.2 mph
Rate of fat hike = x + 2.2 = 2.2 + 2.2 = 4.4 moj
Kevin has $24 to buy a gift for his cousin. He found a gift for $22. With 5% sales tax added on, will Kevin have enough money to buy the gift? If so, how much will he pay?
PLS HELPPPPP THANK UUU
y = -x + 2
y = 3x - 4
a. x = 1/2, y = 3/2
b. x = 5/2, y = 1/2
c. x = 3/2, y = 1/2
d. x = 1/2, y = 5/2
+ graph
C. x=3/2 y=1/2
Hope this helps!
Under his cell phone plan, Hunter pays a flat cost of $61.50 per month and $5 per gigabyte. He wants to keep his bill under $70 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Hunter can use while staying within his budget.
Answer:
$70 >= $61.50 + $5x
Step-by-step explanation:
With the values provided the only variable would be the number of gigabytes. Since Hunter does not want to spend more than $70 then the value of the amount of money he is paying for gigabytes plus the flat cost needs to be less than or equal to $70. Therefore, the following inequality would represent this scenario best...
$70 >= $61.50 + $5x
Please I need help could you explain how did you do it?
Answer:
1
__
2
is the correct answer.
Step-by-step explanation:
Answer:
2ND ONE
Step-by-step explanation:
which phrase represents 3-7x
Answer:
3 less 7x
Step-by-step explanation:
I think soooo
not sure either
Answer: 3 - 7x = D) The difference between three and seven times a number. This expression is known because the words times and difference are your key words. Times means multiplication and difference means subtraction.
The difference between three and seven times a number.
HOPE THIS HELPS
What is the X- Intercept
Answer:
-35,0 is the x-intercept
Step-by-step explanation:
ok i dont wanna have to explain so tell me if you want an explanation.
Answer:
ooooooooooopppppppppp
If a bicyclist, with an initial velocity of zero, steadily gained speed until reaching a final velocity of 13m/s, how far would she travel during this race?
Answer:
The distance travel during race is 13 m
Step-by-step explanation:
Which expressions are equivalent to -6 + 3(2+ (-4t)?
A -12t
B 12t-12
C none of the above
What is 538 rounded to the nearest ten?
The required rounded value of 538 to the nearest ten is 540.
To round 538 to the nearest ten, you can follow these steps:
Look at the one's digit: In this case, the one's digit is 8.Determine if the one's digit is 5 or greater: Since the one's digit is 8, which is greater than 5, we need to round up.Add 1 to the tens digit: Increase the tens digit (3) by 1.Change all the digits to the right of the tens digit to zero: Set the one's digit and all digits to the right of it to zero.By following these steps, we round 538 to the nearest ten as follows:
538 rounded to the nearest ten is 540.
Therefore, the rounded value of 538 to the nearest ten is 540.
Learn more about round numbers here;
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What is the slope and y-intercept of the following graphed Line?
For the expression, select all equivalent expressions from the list.
54y - 24
A. 6(9y - 4)
B. 30y
C. 27y - 12
D.6 x 9y - 6 x 4
Answer:
the correct answer is A , D
15x + 13y = 11
Pls help me
Answer:-0.133333333333
Step-by-step explanation:
The number of apples purchased at 56 and be represents the number of bananas purchased at 10 since each of the total value of the purchase and sent a plus B 25 a plus B turn a +15 B 15 8+10 B
The question isn't well formatted and incomplete :
Complete question :
If A represents the number of apples purchased at 15 cents each, and B represents the number of bananas purchased at 10 cents each, which of the following represents the total value of the purchases in cents?
Answer:
15A + 10B
Step-by-step explanation:
Number of apples purchased = A
Price per apple = 15 cents
Number of bananas purchased = B
price per banana = 10 cents
Total price of A apples :
Price per apple * number of apples = 15A
Total price of B bananas :
Price per banana * number of bananas = 10B
Total value of purchase :
Total price of A apples + Total price of B bananas
15A + 10B
HELP HELP HELP HELP HELP HELP HELP
Answer:
55
Step-by-step explanation:
Luke and Liam wash their clothes on a schedule. Luke
washes his clothes every 7 days and Liam washes his
clothes every 9 days. How long will it be before they
both wash their clothes on the same day
Answer:
2......... ..... ..m.......... ..
expand the following 3(x+9) 4(x-1) 5(5x+2) 8(3x-y)
Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box. When Olivia's mom goes grocery shopping, she likes to purchase the same amount of each lunch item so that she can make complete lunches, with no leftover items. However, each item comes in a different sized package, as shown below: Bagels: six in a bag Apples: eight in a bag Cookies: twelve in a box Juice Boxes: nine in a box Find the least number of packages she must purchase in order to have the same amount of each item.
Olivia's mom should purchase how many bags of apples?
Answer:
72
Step-by-step explanation:
Find the LCM
6=2x3
8=2x2x2
9=3x3
12=2x2x3
LCM=2³x3²
=72
a. A new restaurant owner purchased ads
to run in the paper over several days. She
1
1
5
bought two
-page ads, nine
20
-page ads,
1
and five 4 -page ads. What was the total
amount of space that
Which of the following is a proportion? 5/6= 10/18 4/6 = 6/9 4/3 = 6/8 2/5 = 4/25
Answer:
4/6 = 6/9
Step-by-step explanation:
Because 4/6 = 2/3 and 6/9 = 2/3
1.
Which verbal expression can be represented by
2(x-5)?
a) five less than two times a number
b) the product of two and five more than a number
c) the product of two and five less than a number
d) twice a number decreased by five
Answer:
Twice a number decressed by five
Answer:
C
Step-by-step explanation:
the product of two and five less than a number
A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the king give to each of his sons
Answer:
1/5
Step-by-step explanation:
since there is 5 sons they divide the land in 5.
Need help with math pls help.
9514 1404 393
Answer:
D
Step-by-step explanation:
Segment D seems to have a slightly steeper slope than segment C.
help me out, please :-)
Answer:
No we see that x= 3 goes to 11 and so does x= 6
To be a function each x must correspond to a distinct y
2(2x + 3)=4x + 3x - 9
Answer:
x=5
Step-by-step explanation:
Answer:
2(2x + 3)=4x + 3x - 9
4x+6=4x+3x+−9
4x+6=(4x+3x)+(−9)
4x+6=7x+−9
4x+6=7x−9
4x+6−7x=7x−9−7x
−3x+6=−9
−3x+6−6=−9−6
−3x=−15
-3x/-3=-15/-3
x=5