Answer:
y=3/2x+1/2
Step-by-step explanation:
Answer:
-3x + 2y = 1Step-by-step explanation:
Standard form of linear equation:
Ax + By = CUsing the given points, we find the slope and y-intercept, in slope-intercept form of y = mx + b
m = (-4- 2)/(-3 - 1) = -6/-4 = 3/23/2*1 + b = 2b = 2 - 3/2 = 1/2y = 3/2x + 1/2Converting to standard form
y = 3/2x + 1/22y = 3x + 1-3x + 2y = 17TH GRADE MATH PLEASE HELP THERE IS ANSWER CHOICES AS WELL
Answer:
3/8
Step-by-step explanation:
If 1/4 is equaled to 1. This is 1 dived by 4 to get the 1/4.
Then 1.5 would be divided by 4 to get 3/8
Lindsey invests $250 in a bank account that pays 3% interest each year. How much
money will be in her account after one year?
Answer: Jenns account has the greater simple interest rate
Step-by-step explanation: The formula for simple interest is:
Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.
For Lindsey:
Solve for r
Lindsey simple interest was 1.2% annually
For Jenn:
Jenn simple interest was 1.5% annually
Therefore Jenns account has the highest simple interest rate.
Can someone help me with this pls
Answer:
5^2
Step-by-step explanation:
5^3-10^2= 25/ 125-100=25
5^2=25
Suppose it is 40° inside your refrigerator and 340° inside your oven when the power goes out. The refrigerator temperature starts rising at the rate of 5° per hour. The oven temperature starts dropping at the rate of 45° per hour.
Answer:
The temperature of both appliances is 70° after 6 hours.
At 6 hours, both temperatures will be equal
Step-by-step explanation:
Equations
Let's call
T1 = Temperature inside of the refrigerator
T2 = Temperature inside of the oven.
x = Time in hours elapsed since the power goes out.
We know the temperature of the refrigerator rises at 5° per hour. Thus the function that models its temperature is:
T1 = 40 + 5x
We are also given the oven temperature drops by 45° per hour, thus:
T2 = 340 - 45x
a) Find the value of x for both temperatures to be the same.
We equal T1 and T2:
40 + 5x = 340 - 45x
Adding 45x
40 + 5x + 45x = 340
Subtracting 40:
5x + 45x = 340 - 40
Operating:
50x = 300
x = 300/50
x = 6
At 6 hours, both temperatures will be equal
b)
The common temperature can be found by substituting x in any function:
T1 = 40 + 5x = 40 + 5(6) = 40 + 30 = 70
T2 = 340 - 45x = 340 - 45(6) = 70
The temperature of both appliances is 70° after 6 hours.
Rob reduced the size of a triangle to a
width of 2 in. What is the new height if it
was originally 10 in tall and 20 in wide?
Answer:
the new height is now 1 inch
Step-by-step explanation:
whats the pythagorean Theorem?
a+b= c
a2+b2+c2
a2-b2=c2
a2+b2=c2
Answer:
It is used to find a side of a triangle.
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Remember : This only works in Right angled triangles.
Rearrange y =1/2x+1to make x the subject.
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[tex]y = \frac{1}{2} x + 1 \\ [/tex]
Multiply sides by 2
[tex]2 \times y = 2 \times ( \frac{1}{2} x + 1) \\ [/tex]
[tex]2y =( 2 \times \frac{1}{2} x) + (2 \times 1) \\ [/tex]
[tex]2y = x + 2[/tex]
[tex]x + 2 = 2y[/tex]
Subtract sides 2
[tex]x + 2 - 2 = 2y - 2[/tex]
[tex]x = 2y - 2[/tex]
Done...
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Answer:
The answer is x = 2y - 2Step-by-step explanation:
Question: y = 1/2x + 1
Given:
equation: y = 1/2x + 1
Unknown:
Equation in x = ?
1. Move the x variable to the side that the y is on.
y = 1/2x + 1
-1/2x -1/2x
2. Move the y to the side of the y-intercept
y - 1/2x = 1
-y - y
3. Divide both sides by -1/2 or multiply by -2
-1/2x = -y + 1
*-2 -2(-y + 1)
The answer is x = 2y - 2
Hope it helped,
Kavitha Banarjee
If x is a positive integer, for how many different values of x is StartRoot StartFraction 48 Over x EndFraction EndRoot a whole number?
Answer:
For 3 different values of x
Step-by-step explanation:
Here, we want to get the values of x for which
√(48/x) is a whole number
We have to consider that the values of x that will make the expression a whole number must be less than or equal to 48
Also, we have to consider that, the division we have to make must yield a perfect square so as to have a whole number square root
The factors of 48 that can yield a whole number are;
1,2,3,4,6,8,12,16,24 and 48
However, the divisions that can yield a perfect square are
3 (yield 16)
12 ( yield 4)
48 ( yield 1)
So the numbers of the value of x that can yield a whole number is 3
Answer:
B: 3
Step-by-step explanation:
edg 2020
Find the equation (in terms of x) of the line through the points (-2,-5) and (2,3)
Three times a number increased by
twice the number is greater than
125. What is the number?
Answer:
x > 25
Step-by-step explanation:
This question relates to algebra. We can solve this problem by creating a variable for the solution (which we will find). We will link the variable in an equation l with the information given.
So let's translate each piece of information mathematically. First, the question tells us "Three times a number." The first part uses multiplication (times) linked to our number (we will use x for our variable). So we write:
3x
The second part is "increased by twice the number" Increasing is adding (+) so we add two times the number. So:
3x + 2x
The final part says "is greater than 125" so we need to use the > sign
3x + 2x > 125
Now we can solve by collecting like terms and moving them to a different side.
5x > 125
x > 25
Which is not a subset of the set {1,2,3,5}?
Answer:5
Step-by-step explanation:
Khan Academy please show work
Answer:
Rewriting the equation in the form (x+c)²=d by completing the square
[tex]\left(x+5\right)^2=16[/tex]The solutions to the quadratic equation are:
[tex]x=-1,\:x=-9[/tex]Step-by-step explanation:
Given the equation
[tex]x^2+10x+22=13[/tex]
subtract 22 from both sides
[tex]x^2+10x+22-22=13-22[/tex]
simplify
[tex]x^2+10x=-9[/tex]
Rewriting the equation in the form (x+c)²=d by completing the square
[tex]x^2+10x+5^2=-9+5^2[/tex]
[tex]x^2+10x+5^2=16[/tex]
[tex]\left(x+5\right)^2=16[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solve
[tex]x+5=\sqrt{16}[/tex]
[tex]x+5=\sqrt{4^2}[/tex]
[tex]x+5=4[/tex]
[tex]x=-1[/tex]
also solving
[tex]x+5=-\sqrt{16}[/tex]
[tex]x+5=-4[/tex]
[tex]x=-9[/tex]
Therefore, the solutions to the quadratic equation are:
[tex]x=-1,\:x=-9[/tex]
find the solution of the system equations.
10x-7y=-1
-2x-7y=-25
Answer:
[tex]x=2, y=3[/tex]
Step-by-step explanation:
Given equations:
[tex]10x-7y=-1[/tex]
[tex]-2x-7y=-25[/tex]
We can subtract the two equations from each other to eliminate [tex]y[/tex] to solve for [tex]x[/tex]:
[tex]10x-7y-(-2x-7y)=-1-(-25)[/tex]
[tex]10x-7y+2x+7y=-1+25[/tex]
[tex]12x=24[/tex]
[tex]x=2[/tex]
Now, we can use substitution to solve for [tex]y[/tex]:
[tex]10x-7y=-1[/tex]
[tex]10(2)-7y=-1[/tex]
[tex]20-7y=-1[/tex]
[tex]7y=21[/tex]
[tex]y=3[/tex]
∴ [tex]x=2, y=3[/tex]
Hope this helps :)
Ingrid types 3 pages in the same amount of time that Tanya types 4.5 pages. Write a proportion that could be used to find the number of pages Tanya will have typed when Ingrid has typed 11 pages, if they start typing at the same time. Use x to represent the number of pages Tanya has typed.
Answer:
16.5 pages
Step-by-step explanation:
Number of pages Ingrid types = 3
Number of pages Tanya types = 4.5
The proportion to find how many pages Tanya would have typed (x), if Ingrid typed 11 pages would be as follows:
3 : 4.5 = 11 : x
Thus:
[tex] \frac{3}{4.5} = \frac{11}{x} [/tex]
Cross multiply
[tex] 3*x = 11*4.5 [/tex]
[tex] 3x = 49.5 [/tex]
Divide both sides by 3
x = 16.5 pages
2m+1 _2m÷2m:simplify
Simplify the expression.
2m
what is the coeffcients of 3m + 5 = 1
the equation is: y = -32 +2
Select all of the equations that would be perpendicular to this line.
y = -31 - 2
y = 2x - 5
y = {2 – 3
y = 12 +7
y = -32 +1
y=i<+3.63917
y = –2 – 3
y = -4.1 - 32
Answer:
y = [tex]\frac{1}{3}[/tex] x - 3 ⇒ 3rd answer
y = [tex]\frac{1}{3}[/tex] x + 7 ⇒ 4th answer
y = [tex]\frac{1}{3}[/tex] x + 3.63917 ⇒ 6th answer
y = [tex]\frac{1}{3}[/tex] x ⇒ 8th answer
Step-by-step explanation:
The product of the slopes of the perpendicular lines is -1
If the slope of a line is m, then the slope of the perpendicular line to it is [tex]-\frac{1}{m}[/tex]To find the slope of a perpendicular line to a given line reciprocal the slope of the given line and change its signThe form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept∵ The equation of the given line is y = -3x + 2
→ Compare it with the form of the equation above
∴ m = -3
→ To find the slope of the perpendicular line to it reciprocal it and
change its sign
∴ The slope of the perpendicular line to it is = [tex]\frac{1}{3}[/tex]
→ Choose all the equations that have m = [tex]\frac{1}{3}[/tex]
∴ y = [tex]\frac{1}{3}[/tex] x - 3 ⇒ 3rd answer
∴ y = [tex]\frac{1}{3}[/tex] x + 7 ⇒ 4th answer
∴ y = [tex]\frac{1}{3}[/tex] x + 3.63917 ⇒ 6th answer
∴ y = [tex]\frac{1}{3}[/tex] x ⇒ 8th answer
Solve for w.
9 = 9+ w
I need to know how to write the function with the steps needed to solve.
9514 1404 393
Answer:
f(t) = 17.5cos(π(t-7)/6) +59
Step-by-step explanation:
When modeling earth data that has a daily or annual cyclic variation, the simplest sort of model is a sine or cosine function of some sort. Generally, its period will be 1 day or 1 year (or about 1/2 day, if you're modeling tides).
To write the trig function, you need to know ...
Amplitude (A)Offset (D)Period (here, 1 year) (B)Phase shift (C)These values will go into the general form ...
f(t) = A·cos(2π(t -C)/B) +D
__
In this particular form, the cosine function has a value of 1 when t=C, so we can choose C to be the value of t where f(t) is a maximum. In your data table, the maximum temperature is in July, where you have said t=7. So, C=7.
The period is 12 months, so B=12.
The amplitude (A) is half the difference between the minimum and maximum:
A = (76.5 -41.5)/2 = 17.5
The offset (D) is the average of the maximum and minimum:
D = (76.5 +41.5)/2 = 59
__
Using these values in the above form, we have ...
f(t) = 17.5cos(2π(t-7)/12) +59
__
Additional comments
You can see in the attachment that we have matched the maximum and minimum values exactly. A more sophisticated model is needed to adjust the function to match more of the data points.
Or, you may get a slightly better match if you use a sine regression model (least-squares best fit). That sort of modeling is best done using a graphing calculator or spreadsheet. The details are beyond the scope of this answer.
Consider the Inequality
—2n +7 > -11
What is the solution of the inequality
Answer:
n < 9 or n = (-oo, 9)Step-by-step explanation:
-2n +7 > -11-2n > -11 - 7-2n > -18n < -18/-2n < 9n = (-oo, 9)You can buy 3 candy bars at quick market for $2.17. How many can you buy for $17.36?
Answer:
24 candy bars
Step-by-step explanation:
3 = $2.17
x = $17.36
cross-multiplying, we have;
x = (17.36 × 3)/2.17
x = 24
Therefore, you can buy 24 candy bars
Which ordered pairs make both inequalities true? Check all that apply. (–2, 2) (0, 0) (1,1) (1, 3) (2, 2)
Answer: (1,1) (2,2)
Step-by-step explanation: got it right on edg
Answer:
C. (1,1)
E. (2, 2)
Step-by-step explanation:
25 points and brainliest help pls
Answer:
I also think its option 3
Step-by-step explanation:
Answer:
neither.
Step-by-step explanation:
option 3!
Sally wants to calculate how fast her little brother can run. What information does she need to know?
Answer: If she's willing to calculate within mph, she needs to know a certain distance her brother can run, and how long it takes to run that distance.
Gary's jogging average speed is represented by the equation y=3.5x where y is the distance in miles and x is the time in hours. How far can he go in 84 minutes?
Answer:
Gary can go 4.9 miles in 84 minutes.
Step-by-step explanation:
First, you need to determine the amount of hours 84 minutes represent considering that 60 minutes are equal to an hour:
60 minutes → 1 hour
84 minutes → x
x=(84*1)/60=1.4 hours
Now, 1.4 hours would be the time which is x and you can replace the value on the formula to find y:
y=3.5x
y=3.5(1.4)
y=4.9
According to this, the answer is that Gary can go 4.9 miles in 84 minutes.
Please help me with this question! :)
Will mark brainliest
Answer:
The red one
Step-by-step explanation:
From the first graph we knows it will not be the blue or yellow, from the second one we will know it’s not the green one, count and put how many square as y and figure1/2/3as x.
i need help with this slope problem
Answer:
What problem do you need help with.
Help me pls and thanks
For which triangle does the equation 42 +42 = 2 apply?
4
4
С
с
4
N
4
C
4.
4
Answer:
The 2nd triangle
Step-by-step explanation:
The second triangle satisfies the equation 4² + 4² = C². Then the correct option is B.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as,
H² = P² + B²
The Pythagoras theorem is applied in the right-angle triangle.
In the second triangle, then the third side of the triangle is calculated as,
4² + 4² = C²
The second triangle satisfies the equation 4² + 4² = C². Then the correct option is B.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ7
HELP ASAP!!!! 20 points
Answer:
Angle B is 14 I think, but I am not sure.
Step-by-step explanation: