Using it's formula, it is found that the slope of the line formed from the two given places is of [tex]\mathbf{\frac{6}{7}}[/tex]
Given two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope is given by change in y divided by change in x, that is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this problem:
Muntinlupa is at (-1,-4);Teresa, Rizal is at (6,2).Hence, applying the formula for the slope, considering [tex](x_1, y_1) = (-1, -4)[/tex] and [tex](x_2,y_2) = (6,2)[/tex]:
[tex]m = \frac{2 - (-4)}{6 - (-1)} = \frac{6}{7}[/tex]
The slope is of [tex]\mathbf{\frac{6}{7}}[/tex]
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-5x + 7y = -3
-3x - y = 19
Answer:
x=-5, y=-4
Step-by-step explanation:
to solve this system of equations, first multiply the second equation by 7 to get -21x-7y=133. this allows for the y terms in both equations to cancel once you add the two equations together.
adding these together, the y term cancels and you are left with -26x=130. so dividing both sides by -26 will get x=-5. then plug this x value back into either original equation (i chose -3x-y=19) so solve for y.
-3(-5)-y=19 so -y=4 so y=4
so the answer to the system of equations is x=-5 and y=-4
A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval -2<= x <= 0?
The exponential function decays at one-half the rate of the quadratic function.
The exponential function decays at the same rate as the quadratic function.
The exponential function decays at two-thirds the rate of the quadratic function.
The exponential function decays at three-fourths the rate of the quadratic function.
Answer:
×e[-2,0}Why;-2<x<0
Write the compound inequality in interval rotationso the answer is;×e[-2,0}brainliest me thanks for later
Answer:
D) The exponential function decays at three-fourths the rate of the quadratic function.
Step-by-step explanation:
Jake has $120 to spend for a party. Juice costs $8. Pizza costs $12. Write the standard equ.
how much juice and pizza Jake can buy?
Answer:
$8x + $12y = $120
Step-by-step explanation:
x = amount of juice
y = amount of pizza
$120 = his total money
Solve for x: one over four (4x + 15) = 24
A: 45
B: 207/4
C: 81/4
D: 9
Answer:
[tex]C. x = \frac{81}{4} = 20.25[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}\left(4x+15\right)=24[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]
[tex]4\cdot \frac{1}{4}\left(4x+15\right)=24\cdot \:4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x+15=96[/tex]
[tex]\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}[/tex]
[tex]4x+15-15=96-15[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x=81[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]\frac{4x}{4}=\frac{81}{4}[/tex]
[tex]Simplify[/tex]
[tex]x=\frac{81}{4}[/tex]
a) What is the independent variable?
the amount of money Bonnie earns (m)
the number of visitors to Bonnie's site (v)
Answer:
v is independent
Step-by-step explanation:
v because v isn't depended on m
m depends on how many visitors there are so it's depended on v.
:)
Mr. Henry planted 15 mango trees in his garden this morning. That is 25% of
the trees he is going to plant. How many mango trees is he going to plant in
all
A line with a slope of 2 passes through the point (6,4). What is its equation in
slope-intercept form?
Answer:
y=2x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-4=2(x-6)
y=2x-12+4
y=2x-8
Which is the equation of a circle with a radius of 6 and a center of (3,-1)?
(x - 3)2 + (y+1)2 = 36
(x+3)2 + (y - 1)2 = 36
(x+3)2 + (y - 1)2 = 6
(x-3)2 + (y+ 1)2 = 6
Answer:
358
Step-by-step explanation:
576
Round 67 to the nearest hundred. Enter your answer in the box below.
You visit two banks to determine their interest rates. Bank A offers you 6.2% annual
interest compounded monthly, and Bank B offers you 6.3% compounded quarterly.
Determine which bank is offering the best deal.
Answer:
6.3% quarterly
Step-by-step explanation:
The monthly compounded rate is equivalent to a quarterly compounded rate of ...
(1 +0.062/12)^3 -1 = 1.558%
The quarterly compounded rate is ...
6.3%/4 = 1.575%
The 6.3% rate compounded quarterly is the better deal.
_____
Additional comment
An annual rate r compounded n times per year for m compounding periods is equivalent to a rate of
(1 +r/n)^m -1 . . . per m/n of a year
Then an annual rate of r compounded 12 times per year for 3 months is equivalent to a quarterly (3/12 year = 1/4 year) of ...
(1 +r/12)^3 -1
__
An annual rate of r compounded 4 times per year for 1 quarter is equivalent to ...
(1 +r/4)^1 -1 = r/4
charles had a sheet cake for his birthday when 9/12 remained charles took 1/3 of the remaining cake to wrap and save for later what fraction of the original cake did he wrap
Answer:
He wrapped 3/4 of the cake.
Step-by-step explanation:
1/3 of 9/12 is 0.25 and 0.25 converted into a fraction is 3/4
- Hope this helps!
Adam bought a fish aquarium worth $3,000 in the first week of the year. Its value depreciates by 3% per week. What will the value of the fish aquarium be after 5 weeks?
=0.75 times 3000=2250
In which number does the 5 have involve that is ten times the value of the number 5000?
A. 23,523
B. 7,508, 240
C. 45,701
D. 556,429
In the number 556,429, 5 have involve that is ten times the value of the number 5000.
The given numbers are 23,523, 7,508,240, 45,701 and 556,429.
What is the place value?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Option A:
In the number 23,523, 5 is in the hundreds place. So, the value of 5 is 500.
In the number 7,508,240, 5 is in the hundred thousand place. So, the value of 5 is 500,000.
In the number 45,701, 5 is in the thousand place. So, the value of 5 is 5000.
In the number 556,429, 5 is in the ten thousand place and hundred thousand place. So, the value of 5 is 50000 and 500000.
Here, ten times the value of the number 5000 is 50000.
Therefore, in the number 556,429, 5 have involve that is ten times the value of the number 5000.
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Please look for the question in the picture.
Answer:
C and B
Step-by-step explanation:
20%=1/5 so D+1/5D
1.2 = 120%
Which coast less per bag 18 tea bags for 2.70 or 64 tea bags for 9.28
Answer:
64 tea bags for 9.28
Step-by-step explanation:
Jamal has a plan to save money for a trip. Today, Jamal deposits $8.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account. Week 0 1 2 3 4 Deposit (Dollars) 8 13 18 23 28 Let f(x) represent the amount of money Jamal deposits into saving account at the end of x weeks. Based on the table, what is f(8)?
Answer:
f(8) = $48
EQUATION
f(x)= 8+5(x)
Step-by-step explanation:
initial value = $8
every week there is an additional $5 added.
f(x) = 8+5x
f(8) = 8+ 5(8) = 8 + 40 = 48.
At the end of week 8 (x=8) , Jamal has $48 (y=48) saved.
I will give crown thing
On a map of Northern Virginia, 1 inch = 4 miles. The distance from Springfield to Dulles International Airport is 5.8 inches on the map. What is the actual distance to the airport?
Answer:
23.2 miles
Step-by-step explanation:
You just need to multiply de number of inches by the number of miles that values 1 in. Therefore
4 multiplied by 5.8 = 23.2
Answer:
The actual distance to the airport is 23.2 miles.
Step-by-step explanation:
1 inch = 4 miles
5.8 · 4 = 23.2
Since the distance to the Airport is 5.8 inches, you will multiply it by 4. You do this because 1 inch = 4 miles.
can’t figure it out, need help
Answer: 74+39=113. So the answer is 113
What is the volume of a cube that has a height of 10 inches? 10 inches
A:600 cubic inches
B:100 cubic inches
C:40 cubic inches
D:1,000 cubis inches
Answer:
i think its B.
Thats only i know
122 is what percent of 145?
Answer:
84.1379%
Step-by-step explanation:
122 / 145 = 0.841379
(0.841379)(100) = 84.1379%
Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natural gas, y. 750x + 17y = 141.61 300x + 30y = 75.90 Karina solves the system using linear combination and arrives at the equation 116y = 96.28. She then solves this equation for y. Which statement explains Karina’s solution? The cost of natural gas is $0.17 per unit. The cost of natural gas is $0.20 per unit. The cost of natural gas is $0.72 per unit. The cost of natural gas is $0.83 per unit.
The correct statement is The cost of natural gas is $0.83 per unit.
The equations representing her utility costs in July and December are known as simultaneous equations. These equations have to be solved jointly in order to determine the cost of electricity and natural gas.
Given the equation gotten by Karina: 116y = 96.28
Where y represent the cost of natural gas
In order to determine the value of y, divide both sides of the equation by 116
y = 96.28 / 116
y = $0.83
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It is for my final, please help!
Answer:
The answer will be the third one.
Step-by-step explanation:
Hope it helps
. Andrew's father is paying for a $40 meal. He has a 15%-off coupon for the meal. After the
discount, a 6% sales tax is applied. What does Andrew's father pay for the meal?
=============================================================
Explanation:
He gets a 15% discount, so he pays the remaining 85%. The two percentages add to 100%.
85% in decimal form is 0.85
The 6% sales tax means we also have the multiplier 1.06 to indicate a 6% increase.
The two factors 0.85 and 1.06 multiply to 0.85*1.06 = 0.901
This tells us that Andrew's father pays 90.1% of the original bill
0.901*40 = 36.04 dollars
--------------
An alternative method:
15% of $40 = 0.15*40 = 6
Andrew's father saves $6
The bill of $40 drops to 40-6 = 34 dollars before tax.
6% of $34 = 0.06*34 = 2.04
The father pays $2.04 in tax to get a total bill of 34+2.04 = 36.04 dollars
Which of the following expressions has a "x" term with a coefficient of 1?
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that has a "x" term with a coefficient of 1 is the expression that has positive one in from of the term that has x in the expression.
Now, If all the options are observed, then it can be found that the second option has x term with leading coefficient as 1.
Hence, the correct option is B.
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5. Marcus has a 28-ounce bottle of Gatorade. He
drinks 21 ounces. Enter the percentage of the
bottle Marcus has left.
Hi!
He has 25% of the bottle left.
Knowing he drank 21 oz. out of a 28 ox. bottle, he has 7 oz. left.
We want to know the answer to: 7 is what percent of 28?
To do this, we simply take 7 and divide it by 28. 7/28 is 1/4, which can be represented by 0.25
0.25 as a percent is 25%.
HELP ASAP Match each division expression to its quotient.
Answer:
2=-12.2/(-6.1
-2=16/(-8)
-3= -2 2/5/4/5
3= 3 3/7 / 1 1/7
Step-by-step explanation:
MAX POINTS!!!! Please help me solve the problem in the picture and tell me what I’m doing also explain each step.
I know myself that the answer is 0.4
Two companies working together can clear a parcel of land in 20 hours. Working alone, it would take Company A 2 hours longer to clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone? (Round your answer to the nearest tenth.)
it's took 10 hour maybe what subject is this
*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Jasper won the raffle at the zoo and gets to feed the dolphins! The dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins. Each dolphin gets 3 fish.
Which equation can you use to find the number of fish f in the bucket before Jasper feeds the dolphins?
Solve this equation for f to find the number of fish in the bucket before Jasper feeds the dolphins.
fish
The number of fish in the bucket before Jasper feeds the dolphins was 12.
Since Jasper won the raffle at the zoo and gets to feed the dolphins, and the dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins, and each dolphin gets 3 fish, to find the number of fish F in the bucket Before Jasper feeds the dolphins, the following equation must be performed:
Number of dolphins = D Fish for each dolphin = E Total fish = F D x E = F 4 x 3 = F 12 = F
Therefore, the number of fish in the bucket before Jasper feeds the dolphins was 12.
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need help with this problem
Check the picture below.