Answer:
(-4;2)
Step-by-step explanation:
1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;
2. if x+4y=4, it is possible to re-write it as x+4y-4=0;
3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.
4. if y=2, then it is possible to substitute its value into any equation given in the condition:
x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.
5. finally x= -4; y=2. It means (-4;2)
PS. the suggested solution is not the only way to resolve this task.
What is 2y+4x =10 in y=mx+b
Answer:
The answer should be y = -2x + 5
Step-by-step explanation:
Subtract 4x to move it to the other side.
(2y = -4x + 10)
Then you divide both sides by 2 to get y by itself.
Let X have the probability mass function P(X = −1) = 1 2 , P(X = 0) = 1 3 , P(X = 1) = 1 6 Calculate E(|X|) using the approaches in (a) and (b) below. (a) First find the probability mass function of the random variable Y = |X| and using that compute E(|X|). (b) Apply formula (3.24) with g(x) = |x|. For reference, formula 3.24 states
Answer:
Step-by-step explanation:
From the given information:
Note that the possible values of Y are 0 and 1 because;
y = 0 if X = 0 and y = 1 if X = ±1
∴
[tex]P(Y =0) = P(X = 0) =\dfrac{1}{3}[/tex]
[tex]P(Y = 1) = P(X = -1 \ or \ 1) \\ \\ = P(X = -1) + P(X = 1)[/tex]
[tex]= \dfrac{1}{2}+ \dfrac{1}{6}[/tex]
[tex]=\dfrac{3+1}{6}[/tex]
[tex]= \dfrac{2}{3}[/tex]
b)
[tex]E(|X|) = \sum |x| P(X=x) = ( 1 \times \dfrac{1}{2}) + ( 0\times \dfrac{1}{3}) + ( 1 \times \dfrac{1}{6})[/tex]
[tex]= \dfrac{2}{3}[/tex]
Mike and Ike decided to take a drive to Crystal Mountain Lake. As they leave home in Swamp Town, they notice that the car odometer reads 15,632 miles. When they stop at Vine Valley to have lunch, they notice that the odometer reads 15,795 miles, and they see this road sign: Crystal Mountain Lake 52 miles. What is the distance from Swamp Town to Crystal Mountain lake (2 points)? Show your work (3 points).
guys please help me it's Find the area of the polygon
Moe puts $1500 in a bank certificate that pays an annual rate of 4.5% compounded annually. No withdrawals or deposits are made. How much will the certificate be worth (to the nearest dollar) at the end of 7 years?
Answer:
FV= $2,041.29
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $1,500
Number of periods (n)= 7 years
Interest rate (i)= 4.5% = 0.045
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 1,500*(1.045^7)
FV= $2,041.29
YOU HAD YOUR WORD TASTUMI YOU HAD YOUR WORD!2
Answer:
yes :(
Step-by-step explanation:
(GIVING BRAINLYIST) 4 ÷ 1/2 YOU HAVE TO show your work on paper using fraction models!
Answer:
8
Step-by-step explanation:
so my school uses the method called kcf (keep change flip)
keep the 4
change the division sign to a multiplication sign
flip 1/2 to 2/1
4x2=8
Answer:
8 i first said two but used a caculater and found out it was 8
Step-by-step explanation:
Suppose that 11 inches of wire costs 33 cents.
At the same rate, how many inches of wire can be bought for 21 cents inches?
Answer:
Suppose that 14 inches of wire cost 42 cents at the same rate how many inches of wire can be bought for 24 cents
Step-by-step explanation:
Write the rational number as a decimal. 7 over 40
Answer:
0.175 is a decimal and 17.5/100 or 17.5% is the percentage for 7/40.
Answer: 0.175
Step-by-step explanation:
The measure of the distance an object travels in a certain length of time is the objects
Answer:
speed
Step-by-step explanation:
hope this helps
Solve: 4x + 6 = 8x - 18
Answer:
x=-3
Step-by-step explanation:
4x+6=8x+18
We simplify the equation to the form, which is simple to understand
4x+6=8x+18
We move all terms containing x to the left and all other terms to the right.
+4x-8x=+18-6
We simplify left and right side of the equation.
-4x=+12
We divide both sides of the equation by -4 to get x.
x=-3
Answer:
hope it helps answer is x=6
3x - 2(6 - x) = 7x + 2(5 + x) - 6
What is the answer
Answer:
x= -4
Step-by-step explanation:
Answer: x = -4
Step-by-step explanation:
first, we remove the parentheses.
3x - 12 + 2x = 7x + 10 + 2x - 6
then, we cancel equal terms.
3x - 12 = 7x + 10 - 6
then, we calculate.
3x - 12 = 7x + 4
next, we move the terms.
3x - 7x = 4 + 12
then, we collect like terms and calculate.
-4x = 16
finally, we divide both sides.
x = -4
Describe the end behavior of f(x)=-2x^3 using the leading coefficient and degree, and state the domain and range
Answer:
See explanation for end behavior below
Domain = All Real numbers
Range = All Real numbers
Step-by-step explanation:
This is a typical power function of order 3, and since its coefficient is a negative one (-2), its end behavior is:
As x becomes more and more negative (moving towards the left of the horizontal axis, the values for y will become larger and larger (reaching very positive numbers on the y scale). As x becomes larger and larger (moving towards large values on the positive side of the horizontal axis, the related y values will become more and more negative.
The Domain of the function (the x-values for which the function is defined) consists of all Real numbers.
The same is true for the Range, since the y-values spread over all the real number line.
After a 65% reduction, you purchase a new clothes dryer on sale for $189. What was the original price of the clothes dryer ?
Answer:
$122.85
Step-by-step explanation:
65/100 x 189 = $122.85
can someone pls help with this i’m so confused
Answer:
biggest size is 115 inches.
smallest size is 40 inches
Step-by-step explanation:
the biggest size will be
Tmax= 2(168)/3 + 3
= 115 inches..
the smallest size
Tmin= 168/4 - 2= 40 inches
HELP ILL GIVE U BRAINLIEST 10 POINTSQuestion 9 (1 point)
Fill in the blanks to create an equation that matches the graph.
Fence Installation
om/
450
400
350
A 300
250
Cost in $)
✓
200
150
100
50
5
10 15 20 25 30 35
Linear Feet
X +
y =
Blank 1:
Blank 2:
Answer:4
Step-by-step explanation:
please help me in this homework :)
Answer:
la distancia que hay entre ellos es de 50+30=80km
Step-by-step explanation:
Evaluate the expression when a=3 .
27÷a =
Answer:
Answer:
27÷3
=9
.....................
Answer:
9
Step-by-step explanation:
Hey there !!!!!!!!
if a =3 in the equation 27/a
we evaluate it, it will look like 27/3
if we solve it :
27/3 = 27÷ 3
27÷ 3 = 9
have a wonderful day
3(x+15) - 6x = -6(x-3)
A store owner spends 7x + 13 dollars on two orders of boxes of light bulbs, including shipping.
Part A
If she spends 3x + 5 dollars on the first order of light bulbs, which of the following represents how much she spends on the second-order?
10x + 18
4x + 8
21x + 65
10x + 8
Part B
If the store owner spent a total of $90 on both orders, how much does a box of light bulbs cost in dollars? Enter the number in the box.
Answer:
[tex]B = 4x + 8[/tex]
A box = $11
Step-by-step explanation:
Given
[tex]Total = 7x + 13[/tex]
Represent the first order with A and the second with B.
So, we have:
[tex]A = 3x + 5[/tex]
Solving (a): Find B.
To find B, we make use of:
[tex]A + B = Total[/tex]
Make B the subject
[tex]B = Total - A[/tex]
Substitute values for Total and A
[tex]B = 7x + 13 - (3x + 5)[/tex]
Open bracket
[tex]B = 7x + 13 - 3x - 5[/tex]
Collect Like Terms
[tex]B = 7x - 3x + 13 - 5[/tex]
[tex]B = 4x + 8[/tex]
Solving (b): Cost of a box of light bulb
This means that:
[tex]Total = 90[/tex]
Substitute 7x + 13 for Total
[tex]7x + 13 = 90[/tex]
Collect Like Terms
[tex]7x = 90 - 13[/tex]
[tex]7x = 77[/tex]
Make x the subject
[tex]x = \frac{77}{7}[/tex]
[tex]x = 11[/tex]
Please answer this correctly without making mistakes or
Answer:
7lb 12oz
Step-by-step explanation:
4lb +3lb = 7lb
6oz +6oz = 12oz
Animal researchers studying cows and horses conducted a two-sample t-test for a difference in means to investigate whether grazing cows eat more grass, on average, than grazing horses. All conditions for inference were met, and the test produced a test statistic of t=1.064 and a P-values of 0.0487 Which of the following is a correct interpretation of the P-value?
A. The probability that cows eat more grass than horses, on average, is 0.0487.
B. The probability that cows eat the same amount of grass as horses, on average, is 0.0487
C. Assuming that the mean amount of grass eaten by cows is greater than the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
D. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at most 1.664 is 0.0487.
E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487.
Answer:
E. Assuming that the mean amount of grass eaten by cows is equal to the mean amount of grass eaten by horses, the probability of observing a test statistic of at least 1.664 is 0.0487
Step-by-step explanation:
Given that :
Test statistic, t = 1.064
P-value = 0.0487
Hypothesis : To test if grazing cows eat more grass than grazing horses
The null hypothesis will be :
H0 : μ1=μ2 (that is there is no difference on the mean number of grass eaten by cows and horses).
Alternative hypothesis ; H1 : μ1 > μ2
The null is assumed true unless tested otherwise, the P-value is used as a probability metric for the rejection or acceptance of the null.
Therefore, if the null is True in this scenario, then, the probability of observing a test statistic of at least 1.664 is 0.0487
If the null is true in this scenario, then the probability of observing a test statistic of at least 1.664 is 0.0487.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
Test statistics, t = 1.064
P-value = 0.0487
The null hypothesis will be
H₀: μ₁ = μ₂ (There is no difference in the mean number of grass eaten by cows and horses)
An alternative hypothesis will be
Hₐ: μ₁ > μ₂
The null is assumed true unless tested otherwise, the P-value is used as a probability metric for the rejection or acceptance of the null.
Therefore, if the null is true in this scenario, then the probability of observing a test statistic of at least 1.664 is 0.0487.
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
4(y - 3) =
Use distributive property to complete the equivalent expression
Answer:
Step-by-step explanation:
4(y-3) = 4y - 4·3 = 4y - 12
The equivalent value of the expression is A = 4y - 12
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 4 ( y - 3)
On simplifying the equation , we get
A = 4 ( y - 3 )
So , the left hand side of the equation is equated to the right hand side by the value of A = 4 ( y - 3 )
Opening the parenthesis on both sides , we get
A = 4 ( y - 3 )
Using the distributive property , we get
A = 4 ( y ) - 4 ( 3 )
On further simplification , we get
A = 4y - 12
Taking the common factor as 4 , we get
A = 4 ( y - 3 ) = 4y - 12
Therefore , the value of A = 4y - 12
Hence , the expression is A = 4y - 12
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ6
Francis ran 2 1/5 miles in 7/12 of an hour. How many miles can Francis run in one hour?
Answer:
3 7/10 miles
Step-by-step explanation:
divide miles by hours
11/5 ÷ 7/12 = 11/5 · 12/7 = 132/35 or 3.7 mph
Find the perimeter of the following shape:
The piecewise function h(x) is shown on the graph.
What is the value of h(3)?
Answer:
In the given graph h(x)
When x=3, h(3)=1
1 is the right answer.
Find the cost of 80 Orange at 5 for 30 naria
Answer:
The cost of 80 oranges = 480 nairas
Step-by-step explanation:
Given
The cost of 5 oranges = 30 naira
Determine
The cost of 80 oranges
Given that the cost of 5 oranges = 30 naira
so,
Unit rate = 30 nairas / 5 oranges
= 6 nairas per orange
∴ The cost of 1 orange = 6 nairas
As the cost of 1 orange = 6 nairas
Thus,
The cost of 80 oranges = 6 × 80 = 480 nairas
Hence,
The cost of 80 oranges = 480 nairas
Brian goes to school 6 hours per day, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?
Answer:
6:4:9 Yw❤️
Step-by-step explanation:
Select the correct answer.
The length of a rectangle is units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
A.
4w + 3
B.
w – 3
C.
5w
D.
6w + 4
Answer:
hope it helps
Step-by-step explanation:
What is the value of the expression 6 +5. (8 = 2)2?
Answer:
The answer is 22
Step-by-step explanation:
might be wrong so I would wait for someone else to also answer.