Write an equation of the line that passes through (-2,3) and is parallel to the line y = 2x – 4.
Answer:
The parallel line should be y = 2x + 7
The equation of the line that passes through the point (8,-1) and is parallel to the line y = 2x – 4 is; y = 2x + 7
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given If the line is parallel to the line resembling the equation y = 2x - 4, it would mean that the line would have a similar slope,
m= 2
We know that Point-Slope Form:
y - y₁ = m(x - x₁)
Point (-2,3)
Then Slope m = 2
Now Write the equation as;
y - 3 = 2(x + 2)
This means the final equation is;
y = 2x + 7
Learn more about equations here;
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Cady bought 1.8 pounds of grapes at the grocery store. The grapes cost $2.85 per pound and she paid for them with a gift card. If the balance on the gift card was $25, how much money is left on the card after she purchased the grapes? Remember to give meaning to your answer.
Answer:
14.87
Step-by-step explanation:
because you multiply the pounds times how much money per pound to get 5.13 then you subtract that to get 14.87
hope it helps
Which graph represents a function, f(x) that has a slope of 3 units and f(0) = 14?
Answer:A
Step-by-step explanation:
Since the slope is 3, hence it passes through the point (-4.67, 0). Hence the equation of the line is y = 3x + 14.
A linear equation is in the form:
y = mx + b;
where m is the slope, b is the y intercept and y, x are variables.
Since f(0) = 14, hence the y intercept is 14, hence the graph passes through point (0, 14).
Also, since the slope is 3, hence it passes through the point (-4.67, 0). Hence the equation of the line is y = 3x + 14.
Therefore the graph is attached below.
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Find the appropriate side length of a square game board with an area of 175 inch squared
Answer:
13.29 inch
Step-by-step explanation:
Given:
Square game board.
Area of square game board = 175 sq inch
To find:
The side length of the square board game.
Solution:
First of all, we need to know the formula for area of a square.
Let us have a look at the formula for area of a square.
[tex]Area = Side\times Side[/tex]
OR
[tex]Area = Side^2[/tex]
Putting value of area = 175 sq in and let us find the value of Side.
[tex]175=Side^2\\\Rightarrow Side = \sqrt{175}\\\Rightarrow Side \approx \bold{13.29\ inch}[/tex]
Therefore, the answer is:
The appropriate side length of the square game board = 13.29 inch
please help need help asap!!
what is the square root of 125.3 rounded to the nearest hundredth ?
Answer:
11.19
Step-by-step explanation:
[tex]\sqrt{125.3} = 11.19374\\[/tex]
The hundreths place is the second digit to the right of the decimal point.
Since the number in the thousandths place is less than 5, the number in the hundreths place will remain as 9.
If the digit in the thousandths place had been 5 or greater, the answer would have been 11.20, as you would round the 9 up, consequently rounding the tenths place as well.
Part A: Under a dilation of scale factor centered at (3,7), PT becomes
RT", Determine the coordinates of R'T" and sketch R'T' on the
graph
Part B: Under a dilation of scale factors centered at (-1,9), PT becomes
LM. Determine the coordinates of LM and sketch TM on the
graph
9514 1404 393
Answer:
see below
Step-by-step explanation:
Dilation changes the distance to the center of dilation by a factor equal to the scale factor.
Part A:
Point R is 2 grid squares left and 6 grid squares down from the center of dilation at (3, 7). So, point R' will be (3/2)(2) = 3 grid squares left and (3/2)(6) = 9 grid squares down from that center.
Likewise, point T is 2 square diagonals down and right of (3, 7), so T' will be 1 more square diagonal farther.
__
Part B:
As in Part A, the scale factor multiplies the distance from the center of dilation. L will be the midpoint between R and (-1, 9); M will be the midpoint between T and (-1, 9).
You have $65 in your bank account. Each week you plan to deposit $6 from your allowance and $20 from your paycheck. The equation b=65+ (20+6)w gives the amount b in your account after w weeks. How many weeks from now will you have $220 in your bank account?
Which equation represents a line with slope 2/3 and y-intercept −6?
2x −3y= 18
3x −2y= 6
3x −2y= 12
2x +3y=−6
The number 4 + i is multiplied by some real number to yield 2 + one-half i. Which equation is true?
Answer:
A. (1/2)(4+i)= 2+ (1/2)i
Step-by-step explanation:
The equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
= 4+i
Multiply it by 1/2
[tex]= \rm \dfrac{1}{2}(4+i)\\\\\rm =2+ \dfrac{1}{2}i[/tex]
[tex]\rm \dfrac{1}{2}(4+i) =2+ \dfrac{1}{2}i[/tex]
Thus, the equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.
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A television normally sells for $320 this week it’s on sale for 60% off the normal price what is the price of the sale
Answer:
128 dollars
Step-by-step explanation:
You would multiply 60 (that's the percentage off) by 320 ( the price of the T.V) and then subtract the answer you got from multiplying the two from the original price of the T.v (320)
Hope this helps
Which value is the solution for this equation
7y - 15 = 27
Answer:
Y = 7
Step-by-step explanation:
write the equation for 30 is 75% of what number show your work
Answer:
22.5
Step-by-step explanation:
How do you solve this question?
In order to find this answer, you must multiply the number given (30) by the percentage (75%). 75% is equal to .75. So, if you multiply 30 and 75%, you will get 22.5.
Hope this helps,
Philip
Brainliest always appreciated! <3
which expression is equivalent to 16+2•36?
L
Lllnubybybyyvybybybtcrxextvyb
If 3 boxes weigh 10 pounds, how much do 4 boxes weigh?
Answer:
About 13.32 Pounds
Step-by-step explanation:
First. take the total weight of the three boxes and divide it by the number of boxes.
10/3 = 3.33 and so on
Now we know each box ways 3.33 pounds.
Now multiply 4 boxes by 3.33 pounds.
4 x 3.33 = 13.32
So the answer should be about 13.32 pounds.
Answer:
13.3pounds
Step-by-step explanation:
if 3boxes = 10pounds
4boxes= ?
4×10= 40÷3
13.3pounds
What is the answer plz?
Answer:
15$
Step-by-step explanation:
The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years.
A) What is the probability that the CPU fails within three years? (6 points) (Round your answer to 4 decimal places)
B) Assume that your corporation owned 10 CPUs, and assume that the CPUs fail independently. What is the probability that at least one fails within three years? (8 points) (Round your answer to 4 decimal places)
Answer: 0.393 ; 0.9933
Step-by-step explanation:
Given that :
Mean lifetime follows an exponential distribution (m) = 6
a. What is the probability that the CPU fails in the next three years?
Using the poisson distribution formula :
1 - e^-λt
λ = 1/m = 1 / 6 = 0.1667
Probability of failure in next 3 years :
P(X < 3) = 1 - e^-λx
P(X < 3) = 1 - e^-0.1667*3
P(X < 3) = (1 - e^-0.5)
P(X < 3) = 1 - 0.6065306
P(X < 3) = 0.3934693
= 0.3935
b. Assume that your corporation has owned 10 CPUs for three years, and assume that the CPUs fail independently. What is the probability that at least one fails within the next three years?
Number of pc owned = 10
CPU failure is indepndent
Probability of atleast one fails :
1 - P(X ≥ 3)^n
P(X ≥ 3) = 1 - P(X < 3)
P(X ≥ 3) = 1 - 0.3935 = 0.607
Hence,
1 - P(X ≥ 3) = 1 - 0.6065^10
1 - P(X ≥ 3) = 1 - 0.0067345
1 - P(X ≥ 3) = 0.993265
= 0.9933
Which of the following is equal to the fraction below
Answer:
A
Step-by-step explanation:
It cannot be B or C because you have to do the whole thing to the power of 8 not just one of them.
It cannot be D because the question means (5/9) x (5/9) etc 8 times not 8 x (5/9)
so it must be A
Find the slope of the tangent line to f(x) = 2x +3 at
at x = 2.
can you please help me with this question
Answer:
the answer would be 1800 feet
Please answer whats in the photo
Answer:
f?dd,dyuduxccucucucucucuccc
Write y=x^2−6x+4 in vertex form. Then identify the vertex.
64
Step-by-step explanation:
Where my Among Us fans at?!
Answer:
here
Step-by-step explanation:
i played it till 3 am once
(Answer is 32) For the inverse variation equation p = 8/V, what is the value of p when V = 1/4 ?
1/32
1/2
2
32 <—— this is the correct answer!
Answer:
p = 32
Step-by-step explanation:
Given expression:
p = [tex]\frac{8}{v}[/tex]
Since v = [tex]\frac{1}{4}[/tex]
Now insert the parameters and solve;
p = [tex]\frac{8}{\frac{1}{4} }[/tex]
p = 8 ÷ [tex]\frac{1}{4}[/tex]
p = 8 x 4
p = 32
Find the difference
Please help meeee I willl brainliessttttttttt IF YOU DO NOT KNOW DO NOT ANSWER THIS, OK! THANK YOU
Answer:
The answer is 1/3x-1
Step-by-step explanation:
Let's simplify step-by-step.
5/6x−7−(1/2x−6)
Distribute the Negative Sign:
=5/6x−7+−1(1/2x−6)
=5/6x+−7+−1(1/2x)+(−1)(−6)
=5/6x+−7+−1/2x+6
Combine Like Terms:
=5/6x+−7+−1/2x+6
=(5/6x+−1/2x)+(−7+6)
=1/3x+−1
Answer:
=1/3x−1
Please help!!!!!
Richard had a balance of -$322.25 in his account, and Scott had a balance of -$241.75 in his account.
Which statement explains why Richard owes the bank more than Scott?
A. -322.25 > -241.75
B. |-322.25| > |-241.75|
C. |-322.25| < |-241.75|
D. -322.25 < -241.75
Answer:
B is the answer
Step-by-step explanation:
because Richard owes the bank more than Scott
Answer:
it is B
Step-by-step explanation: I just took the test but i got it wrong so it is B
Based on the given information, which statement best explains whether the quadrilateral is a parallelogram?
Answer:
It is a parallelogram because it has either two or more sets of parallel lines
An endangered species of fish has a population that is decreasing exponentially (A - Apekt). The population 5 years ago was 1800. Today, only 800 of the
fish are alive. Once the population drops below 100, the situation will be irreversible. When will this happen, according to the model? (Round to the nearest
whole year.)
O 12 years from today
15 years from today
O 14 years from today
O 13 years from today
Answer:
13 years.
Step-by-step explanation:
I don't understand the original equation you entered, so I'm going to use another one.
[tex]A = A_0e^k^t[/tex]
Where A = initial population
A₀ = current population
e = Euler's constant
k = rate of decrease
t = time in years
Let's start off with what we know.
Today there are 800 fish left:
A₀ = 800
There were 1800 fish 5 years ago:
t = -5
A = 1800
The equation now looks like [tex]1800=800e^-^5^k[/tex]
First we find the rate of decrease.
[tex]\frac{1800}{800} = e^-^5^k[/tex]
⇒ [tex]2.25 = e^-^5^k[/tex]
⇒ [tex]ln(2.25) = -5k[/tex]
⇒[tex]\frac{ln(2.25)}{-5}[/tex]=k
⇒ k = -0.1621
The question asks when it will drop below 100, so make it equal to 100.
⇒[tex]100=800e^-^0^.^1^6^2^1^*^t[/tex]
⇒[tex]100/800=e^-^0^.^1^6^2^1^*^t[/tex]
⇒[tex]ln(1/8)=-0.1621*t[/tex]
⇒[tex]\frac{ln(1/8)}{-0.1621}[/tex] = t = 12.821
To the nearest year this is 13.
A half of a pound of fudge cost$5.72,what is the unit rate per pound
Answer:
$11.44
Step-by-step explanation:
Since half a pound of fudge costs $5.72, then you just have to multiply by 2
5.72 x 2 = 11.44
So one pound of fudge costs $11.44
Hope this helps :)
Answer:
I think it's $1.39 per ounce.
Step-by-step explanation:
Solve tan x =cot x for 0 < x < pi
tan(x) = cot(x)
tan(x) = 1 / tan(x)
tan²(x) = 1
tan²(x) - 1 = 0
(tan(x) - 1) (tan(x) + 1) = 0
tan(x) - 1 = 0 or tan(x) + 1 = 0
tan(x) = 1 or tan(x) = -1
x = π/4 + nπ or x = -π/4 + nπ
where in both cases, n is any integer.
In the interval 0 < x < π, we get solutions:
• x = π/4 from the first family (when n = 0)
• x = 3π/4 from the second family (when n = 1)
So the equation has solutions x = π/4 or x = 3π/4.