Answer:
Slope = ½
Step-by-step explanation:
Given the two points on the graph, (-4 , 0) and (0, 2):
Let (x₁, y₁) = (-4 , 0)
(x₂, y₂) = (0, 2)
Substitute the given points into the following slope formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: -\:(-4)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: +\:4}}[/tex]
[tex]\LARGE\mathsf{m = \frac {2}{4}\:=\:\frac{1}{2}}[/tex]
Therefore, the slope of the line is ½.
Find the ending balance if $500 was deposited at 5% annual interest compounded quarterly for 3 years.
Answer:
$575 ,
Step-by-step explanation:
5% of $500 is only $25
multiply that by 3YRS due to annual interest it would amount too
an addition $75 dollars so the answer is $575
A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82
A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82
Here are the first 5 terms of a
quadratic sequence.
3, 18, 41, 72, 111
Find the nth term of the sequence
Answer:
15n - 12
Step-by-step explanation:
18 ----> 3 = 15
3 -15 = -12
Twenty-five friends share equally the cost of buying a $200 gift. How much money does each person contribute?
Answer:
Each friend contributes 8 dollars
Step-by-step explanation:
200 ÷ 25 = 8 dollars
so each friend contributes 8 dollars
Answer:
Each person contributes $8
Step-by-step explanation:
200/25= 8
100 PTS! HELP QUICK!!
Answer:
x=1
Step-by-step explanation:
Also need this answer. Thank you so much!!!!!!!!
Answer:
5
Step-by-step explanation:
h(w)=2(1)+3
h(w)=2+3
h(w)=5
please give me brainliest think took some thinking
y=x-7
6x-6y=-7
elimination method
Answer:
The system has no solutions.
Step-by-step explanation:
Let's write it in a more traditional form
[tex]\left \{ {{x-y=7} \atop {6x-6y=-7}} \right. \\[/tex]
Try staring at it for a bit, and then realize what you are being asked: find two numbers whose difference is - at the same time, 7, and -7/6. That's impossible.
Same result you get by elimination. Multiply the first by 6 and either add or subtract - your choice the second. In either case you will get 0 = 35 or 0=49, which are obviously absurd
37,162 Divided by 10 to the third power equals what
Answer:
37.162
Step-by-step explanation:
We know that 10 to the third power is 10³ = 1000. When a number is divided by 1000, the decimal point is moved 3 digits to the left. Therefore, we can get 37,162/1000 = 37.162
Use the diagram to the right for questions 16 - 20.
MNP ~ SRP
Answer:
16) 16/3
17.) ength of PM = 20/3
18.) 60
19.) 30
20.) true
Step-by-step explanation:
4/6 = x/8
32/6=x
16/3=x
4/6 = x/10
20/3 = x
please help i will make you brainliest
three step equations
Answer:
6:
x= 6(y−2)/5
8:a=−(b+c+4)
b=−(a+c+4)
Step-by-step explanation:
In a group of dogs and their owners, there are exactly 20 heads and 64 legs. How many dogs are in the group
Answer:
If we assume that everyone in the group is an owner, we would have
[tex]20*2=40[/tex] legs.
[tex]64-40=24[/tex] legs
Therefore, we need 24 more legs.
These 24 additional legs can be made from the difference of legs between the owners and dogs.
In this case, dogs have [tex]4-2=2[/tex] more legs than an owner.
24 ÷ 2 = 12.
There are 12 dogs in the group.
solve the equation.
1/2x^2=32
Answer:
x = ± 8
Step-by-step explanation:
[tex]\dfrac{1}{2}x^{2}=32[/tex]
Multiply the equation by 2
x² = 32*2
x² = 64 = 8²
x = 8
I just need help simplifying
Answer:
(x - 2) / (x - 1)
Step-by-step explanation:
(x - 2)(x + 3) / (x - 1)(x + 3) <-- factor top and bottom
(x - 2) / (x - 1) <-- cancel out x + 3
HELPP ME OOOO ???
Jendbshshshsbbsbdbsnsmznbs slaizgnsmshxfs sucks skzgxs smudge nzjzdcd
Answer:
5 = k2
k = 2.5
happy learning
Please help asap!!!
Will give brainliest
Answer:
33/2 or
Step-by-step explanation:
2x−7
4
=
x+3
3
(2x−7)*(3)=(x+3)*(4)
6x−21=4x+12
Step 2: Subtract 4x from both sides.
6x−21−4x=4x+12−4x
2x−21=12
Step 3: Add 21 to both sides.
2x−21+21=12+21
2x=33
Step 4: Divide both sides by 2.
2x/2
=
33/2
x=
33/2
Answer:
x = 33/2 = 16 1/2
Step-by-step explanation:
You can clear fractions first, or you can work with the fractions as is.
(2x -7)/4 = (x +3)/3
2/4x -7/4 = 1/3x +1 . . . . . eliminate parentheses
(1/2 -1/3)x = 1 +7/4 . . . . . add 7/4 -1/3x
1/6x = 11/4 . . . . . . . . . . . simplify
x = 66/4 = 33/2 . . . . . multiply by 6, reduce the fraction
Part A
Fill in the blank question.
There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.
Complete each statement.
There are actually __________counties.
The amount of error in Pedro's estimate is____________.
Listen to the complete question
Part B
Fill in the blank question.
What is the percent error in Pedro's estimate? Round to the nearest tenth percent.
percent error: ___________%
Answer:
254 in the first blank
Step-by-step explanation:
There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.
Given that
There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.
There are actually 254 counties.
The amount of error in Pedro's estimate is 4.
Now we need to find percent error in Pedro's estimate.
4/254×100
=0.0157×100
=1.574%
Hence There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%
To learn more on Percentage click:
#SPJ5
the reciprocal of 11/12
Answer:
12/11
Step-by-step explanation:
just turn it around
(-5,1) and (-5,4) what is the slope of the line that passes through the given points
Answer:
Undefined
Step-by-step explanation:
I always like to take a good look at the points before I go about solving for the line. To me, it looks like this is going to be a vertical line. Why do I think that? Well, for each point, the x-value is -5. Since this is a linear function, every other point must also have an x-value of -5. So, our line would be straight up and down, going through the x-intercept (-5, 0). Let's try out this theory by subtracting our y-values and then our x-values, then dividing:
[tex]\frac{4-1}{-5-(-5)} =\frac{3}{-5+5} =\frac{3}{0}[/tex]
And that makes sense! Functions that show up as vertical lines are undefined, since their slopes always have 0 as a denominator, and anything divided by 0 turns out to be undefined. So, that's our answer - the slope is undefined.
Hopefully that's helpful! :)
Answer:
undefined
Step-by-step explanation:
(-5, 1) and (-5, 4) lie on the same vertical line.
A vertical line has undefined slope.
Evaluate the following expression
a+b divide c
when:
a = 2
b= -3
C= -1
d=5
Show your work by substituting and solving.
Answer:
1
Step-by-step explanation:
a+b divide c -> [tex]\frac{a+b}{c}[/tex]
Plugging in - > [tex]\frac{2+-3}{-1}[/tex]
Simplifying: [tex]\frac{2-3}{-1}[/tex]
Subtracting: [tex]\frac{-1}{-1}[/tex]
Simplifying: 1
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The product of two consecutive positive odd numbers is 195.By constructing a quadratic equation and solving it, find the two numbers
Please help
Step-by-step explanation:
x = one odd number
the second odd number is (x+2), as both are consecutive.
so,
x × (x + 2) = 195
x² + 2x = 195
x² + 2x - 195 = 0
the formula to solve this is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -195
x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =
= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =
= (-2 ± 28)/2 = -1 ± 14
x1 = -1 + 14 = 13
x2 = -1 - 14 = -15 which is invalid as the numbers are positive.
so, the two numbers are 13 and 15.
Two trains, Train A and Train B, weigh a total of 436 tons. Train A is heavier than Train B. The difference of their weights is 242 tons. What is the weight of each train?
Answer:
Train A: 238 Train B: 194
Step-by-step explanation:
436-242=194-436=-238
Flip the sign for 238 and you get your answer.
(This might not be correct)
help meee plzzz
help me
Answer:
I only know the second one sooorrry
if you say its classification so that type of traingle is obtuse triangle
Step-by-step explanation:
can y⁵ x y be simplified??
Answer:
Yes,
[tex]y^{6} x[/tex]
Step-by-step explanation:
[tex]y^{5} xy = y^{5} *y*x = y^{6} x[/tex]
Yall i need help asap! please help me.
Refer the attachment please
Hope it helps
Best of luck
A school choir is made up of girls and boys in the ratio 4:3.There are 35 students altogether. How many students are boys.
Answer:
15 boys
Step-by-step explanation:
Step 1: Set up the equation.
[tex]4x + 3x = 35[/tex]Step 2: Combine like terms.
[tex]7x=35[/tex]Step 3: Divide both sides by 7.
[tex]\frac{7x}{7} =\frac{35}{7}[/tex] [tex]x = 5[/tex]Step 4: Plug in the value of 5 for x in 3x.
[tex]3(5)[/tex] [tex]15[/tex]Therefore, the answer is 15 boys.
quotient rule
fill in the blank
to divide two powers with the same base, ___ the exponent of the ______ from the exponent of the ______ and keep the same base
Answer:
add
subtract
multiply
Step-by-step explanation:
PLEASE HELPPP RUNNING OUT OF TIMMEE
Two shops sell baked beans in different sized tins. Calculate the price per 1.25 kg for shop B. Give your answer in pence.
Shop A) 1.25kg for £4.85
Shop B) 250g for £0.88
Step-by-step explanation:
you really need help with that ?
250g = 0.250kg = 0.25kg
comparing 0.25kg with 1.25kg : how many times of 0.25 is 1.25 ?
it is the same as with 25 to 125.
5 times !
so, you need to multiply the price also by 5 to get the price per 1.25kg :
0.88 × 5 = £4.40 = 440 pence per 1.25kg
Using the slope program, create the line y = 2x. Keeping the line the same, move one (or both) of the points so the triangle created by the points has a vertical length of 10 units. What is the horizontal length? Does this horizontal length match the answer you found in the previous question?
Answer:
x = 5 unitsStep-by-step explanation:
Use the proportion we have to find the horizontal length:
y = 2xWhen y = 10, the value of x is:
10 = 2xx = 10/2x = 5[tex]\\ \sf\longmapsto y=2x[/tex]
Vertical length=yHorizontal length=xPut y=10 in equation
[tex]\\ \sf\longmapsto 10=2x{/tex]
[tex]\\ \sf\longmapsto x=\dfrac{10}{2}[/tex]
[tex]\\ \sf\longmapsto x=5units[/tex]
Find the value of x in the equation below. 2.7+x=11.7
HIGH POINTS/WILL MARK BRAINLIEST
Consider the leading term of the polynomial function. What is the end behavior of the graph?
2x^7– 8x^6– 3x^5– 3
Answer:
The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.