Answers
Answer:
x = -4
Step-by-step explanation:
Square both sides:
[tex](\sqrt{-5-2x})^2 =(\sqrt{-1-x} )^2[/tex]
The square root and the square will cancel to leave simply the argument within the square root:
-5 - 2x = -1 - x
Now simply isolate the variable x:
x = -5 + 1 = -4
Check to see if x = -4 will work:
[tex]\sqrt{-5-2*(-4)} =\sqrt{-1-(-4)}[/tex]
[tex]\sqrt{3} =\sqrt{3}[/tex]
This works, so we know that x = -4 is a solution.
Hope this helps!
Related Questions
A particular type of Gasoline is suppose to have a mean octane rating greater than 90%. Five measureaments are taken of the octane rating, as follow:
90.1 88.8 89.5 91.0 92.1
Can you conclude that the mean octane rating is great er than 90%?
Answers
Answer:
Yes
Step-by-step explanation:
The mean octane rating will be 90.3
Hope this helps!
Answer:
Yes
Step-by-step explanation:
The mean is just the average, and it's calculated by adding up all the data set numbers and dividing that sum by the number of numbers:
(90.1 + 88.8 + 89.5 + 91.0 + 92.1) / 5 = 451.5 / 5 = 90.3
Our average/mean is 90.3%, which is clearly greater than 90%. So, yes, we can conclude that the mean octane rating is greater than 90%.
Hope this helps!
An author signed copies of her newest book for 57 minutes until the bookstore closed at 5:00 What time did the author begin signing books?
4:03
4:57
5:03
5:57
Answers
Answer:
4:03
Step-by-step explanation:
*WILL MAKE BRAINLIEST*
What is the scale factor of this dilation?
a) 1/5
b) 1/2
c)1
d) 2
Answers
Answer: 1/2
Step-by-step explanation: The scale factor of the dilation is 1/2 because it's 1/2 of the other triangle. As you can see it used to be 10, but now it's 5.
Have a good day :D
Answer:
From Triangle ABC to Triangle A'B'C', the scale factor is 1/2
b) 1/2
Step-by-step explanation:
Side Length of Line Segment AC is 8 units
Side Length of Line Segment AB is 6 units
Side Length of Line Segment of BC is 10 units
Side Length of Line Segment A'C' is 4 units
Side Length of Line Segment A'B' is 3 units
Side Length of Line Segment B'C' is 5 units
Checking:
A'C'/AC=4/8=1/2 simplified
Hence, the answer is 1/2 as the scale factor for the dilation.
Given the function f(x)=x^2-4x-1 determine the average rate of change of the function over the interval -4
Answers
Answer:
- 1
Step-by-step explanation:
The average rate of change in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [4, 7 ], thus
f(b) = f(7) = 7² - 4(7) - 1 = 49 - 28 - 1 = 20
f(a) = f(- 4) = (- 4)² - 4(- 4) - 1 = 16 + 16 - 1 = 31
average rate of change = [tex]\frac{20-31}{7+4}[/tex] = [tex]\frac{-11}{11}[/tex] = - 1
Given the function g(x) = -x^2+ 2x + 8, determine the average rate of change of
the function over the interval -3 < x < 2.
Answers
Answer:
3
Step-by-step explanation:
The average rate of change of g(x) in the closed interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
Here [ a, b ] = [ - 3, 2 ], thus
g(b) = g(2) = - 2² + 2(2) + 8 = - 4 + 4 + 8 = 8
g(a) = g(- 3) = - (- 3)² + 2(- 3) + 8 = - 9 - 6 + 8 = - 7
average rate of change = [tex]\frac{8-(-7)}{2-(-3)}[/tex] = [tex]\frac{15}{5}[/tex] = 3
The Bar Chart shows the weights of 10 dogs entered in a local dog show,
Which statement is the about this data set?
Can you please help me ?
Answers
The right rectangular prisms are similar. Which statements are correct? Check all that apply. The angles in the smaller prism measure 90 degrees. The perimeter of the rectangular bases changes by a factor of 2. The surface area changes by a factor of 8. The larger prism has twice the volume of the smaller prism. The area of the rectangular bases changes by a factor of 4. PLEASE HURRRYYYYY!!!!!
Answers
Answer:
- the angles in the smaller prism measure 90 degrees
- the perimeter of the rectangular bases changes by a factor of 2
-the area of the rectangular bases changes by a factor of 4
Step-by-step explanation:
I just got it right
Answer:
the angles in the smaller prism measure 90 degrees
the perimeter of the rectangular bases changes by a factor of 2
the area of the rectangular bases changes by a factor of 4
Step-by-step explanation:
Solve the following systems of 3-variable linear equations.
50 points
Answers
Answer:
x = 9/25
y = 7/25
z = 4/25
Step-by-step explanation:
2x + y = 1 .......(1)
3y + z = 1 ........(2)
x + 4z = 1 ........(3)
Elimination 1 and 2
2x + y = 1 | ×3 |
3y + z = 1 | ×1 |
6x + 3y = 3
3y + z = 1
___________--
6x - z = 2 .............. (4)
Elimination 3 and 4
x + 4z = 1 | ×6 |
6x - z = 2 | ×1 |
6x + 24z = 6
6x - z = 2
___________--
25z = 4
z = 4/25
Elimination 3 and 4
x + 4z = 1 | ×1 |
6x - z = 2 | ×4 |
x + 4z = 1
24x - 4z = 8
___________+
25x = 9
x = 9/25
Subsitution 1
2x + y = 1
2(9/25) + y = 1
18/25 + y = 1
y = 1 - 18/25
y = 25/25 - 18/25
y = 7/25
Answer:
x = 9/25
y = 7/25
z = 4/25
Step-by-step explanation:
:D
A stack of 10 quarters is a cylinder. If the diameter of a single quarter is 2.2 cm and the approximate height is 0.17 cm, what is the surface area of a 10-quarter stack?
Answers
To find the surface area of a 10-quarter stack, calculate the surface area of each quarter and then multiply by the number of quarters.
Explanation:To find the surface area of a 10-quarter stack, we need to calculate the surface area of each quarter and then multiply it by the number of quarters in the stack. The surface area of a quarter can be calculated using the formula for the surface area of a cylinder: SA = 2πr^2 + 2πrh.
Since the diameter of a quarter is 2.2 cm, the radius (r) is half of that, which is 1.1 cm. The approximate height (h) of a quarter is 0.17 cm.
Substituting these values into the formula, we get: SA = 2π(1.1 cm)^2 + 2π(1.1 cm)(0.17 cm). Calculating this gives us the surface area of a single quarter. Then, multiplying it by 10 gives us the surface area of a 10-quarter stack.
Area and Triangles:Question 1
A pennant in the shape of a triangle has a base of 12 inches and a
height of 30 inches. What is the area of the pennant?
Answers
Answer:
A =180 in^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
The base is 12 and the height is 30
A = 1/2 *12*30
A = 1/2 *360
A =180 in^2
Please Help!!!
The Barber family just left the local pet store with Lucky, their new family dog. The pet store owner told the Barber family that for the next six months, Lucky will grow at an average rate of four pounds per month. Currently, Lucky is three months old and weighs five pounds.
Age, in months 3 4 5 6 7 8 9
Weight, in pounds 5
Part A: Complete the given table that represents Lucky's current weight, in pounds, as a function of his age, in months.
Part B: If Lucky continues to grow at the rate of 4 pounds per month beyond the expected six months, how much will Lucky weight by time he is one year old?
Answers
Answer:
Part A
Months, Pounds
3,5
4,9
5,13
6,17
7,21
8,25
9,29
Part B
1 year = 12 months
If we continue the chart it would look like this:
10,33
11,37
12,41
Lucky will weigh 41 pounds by 1 year.
Hope this helps!
Final answer:
Lucky will weigh 41 pounds by the time he is one year old.
Explanation:
To complete the table representing Lucky’s current weight as a function of his age, we'll calculate Lucky's expected weight at each month by using the growth rate of four pounds per month. Starting with Lucky's current weight at three months old, which is five pounds:
Age 4 months: 5 pounds + (1 month * 4 pounds/month) = 9 pounds
Age 5 months: 5 pounds + (2 months * 4 pounds/month) = 13 pounds
Age 6 months: 5 pounds + (3 months * 4 pounds/month) = 17 pounds
Age 7 months: 5 pounds + (4 months * 4 pounds/month) = 21 pounds
Age 8 months: 5 pounds + (5 months * 4 pounds/month) = 25 pounds
Age 9 months: 5 pounds + (6 months * 4 pounds/month) = 29 pounds
Continuing with the growth rate of four pounds per month, by the time Lucky is one year old, which is 12 months, the calculation would be:
Lucky's weight at one year old = initial weight + (growth over months)
12 months old: 5 pounds + (9 months * 4 pounds/month) = 41 pounds.
40. A car stereo originally cost $268. It is now being sold for 85% of its original price. How much does
the car stereo cost now?
Answers
Answer:
The stereo is now being sold for $227.80.
Step-by-step explanation:
To calculate percentage discounts, multiply the original price (268) by the discount percentage (.85). Make sure to put move the percentage value two places to the right before multiplying, as percentages are percentages of a whole.
268 * .85 = 227.8
a family has two cars. the first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. during one particular week, the two cars went a combined total of 725 miles, for a total gas consumption of 40 gallons. how many gallons were consumed by each of the two cars that week?
Answers
Car A consumes 25 gallon and car B consumes 15 gallon.
Step-by-step explanation:
Given,
The fuel efficiency of car A = 20 miles per gallon.
The fuel efficiency of car B = 15 miles per gallon.
In a week, two cars went 725 miles and consumed 40 gallons.
To find the consumption of each car in that week.
Let,
Car A consumed x gallon
Car B consumed y gallon.
According to the problem,
x+y = 40 ----- (1)
20x+15y = 725
or, 4x+3y = 145 -------- (2)
From (1) we get, x = 40-y
Putting the value of x in (2) we get,
4(40-y)+3y = 145
or, 160-4y+3y = 145
or, -y = 145-160
or, y = 15
From (1) we get, x = 40-15 = 25
Hence,
Car A consumes 25 gallon and car B consumes 15 gallon.
for desert you can choose apple cherry blueberry or peach pie to eat and milk or juice to drink how many different possibilities of one pie and one beverage are possible
Answers
Answer:
8 possibilities
Step-by-step explanation:
The pies we have to choose from are 1)Apple 2)Cherry 3)Blueberry or 4)Peach.
The beverages we have to choose from are 1)Milk and 2)Juice.
Here are the possibilities:
Apple + Juice
Apple + Milk
Cherry + Juice
Cherry + Milk
Blueberry + Juice
Blueberry + Milk
Peach + Juice
Peach + Milk
So we have a total of 8 possibilities for one pie and one beverage.
Answer:
8 outcomes
Step-by-step explanation:
QT
is the midsegment of the trapezoid PRSU.
If RS=2w+21, QT=4w+27, and PU=w+38, what is the value of w?
Answers
Answer:
w=1
Step-by-step explanation:
QT=(RS+PU)/2
4w+27=(2w+21+w+38)/2
3w+59=2*(4w+27)=8w+54
8w-3w=59-54
5w=5
w=1
Final answer:
After setting up an equation for the average, we calculated that the value of w is 5.
Explanation:
The question involves solving for a variable w in the context of a trapezoid and its midsegment.
We know that a midsegment of a trapezoid is parallel to the bases and its length is the average of the lengths of the two bases.
Given RS=2w+21, QT=4w+27 (midsegment), and PU=w+38, we set up the equation (2w+21 + w+38)/2 = 4w+27, since the length of the midsegment QT is the average of the lengths of the bases RS and PU.
Simplifying this equation:
Add the like terms of the bases: (2w + w) + (21 + 38) = 3w + 59.Divide the sum by 2 to find the average: (3w + 59) / 2.Set this average equal to the midsegment QT: (3w + 59) / 2 = 4w + 27.Multiply each side by 2 to get rid of the fraction: 3w + 59 = 2(4w + 27).Expand the right side of the equation: 3w + 59 = 8w + 54.Subtract 3w from both sides: 59 = 5w + 54.Subtract 54 from both sides to solve for w: w = 5.Therefore, the value of w is 5.
. Two pentagons are similar. Their sides are in a ratio of 7:2. If the larger pentagon has a perimeter of 28 in., find the perimeter of the smaller pentagon.
Answers
Answer:
8 in
Step-by-step explanation:
The ratio of sides and perimeter in similar figures are equal.
let x be the perimeter of the smaller figure, then by proportion
[tex]\frac{7}{28}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )
7x = 56 ( divide both sides by 7 )
x = 8
The perimeter of the smaller pentagon is 8 in
Write an algebraic expression to represent the pay (in dollars) for working "x" hours at a rate of eight dollars and seventy-five cents per hour. A) 8.75x B) 875x C) 8.75 x D) 875 x
Answers
Relative to the circle with the equation x^2 + y^2 = 4 how has the circle with the equation (x+5)^2 + (y-6)^2 = 4 been shifted, what is the radius of the circle
Answers
Answer:
the circle is shifted -5 on the x and +6 on the y. Center is (-5,6). Radius = 2.
Step-by-step explanation:
the point (-3,6) is located in which quadrant
Answers
Answer:
Quadrant 2
Step-by-step explanation:
Here's how you distinguish which points are in which quadrants.
Quadrant 1: (+x, +y)
Quadrant 2: (-x, +y)
Quadrant 3: (-x, -y)
Quadrant 4: (+x, -y)
(-3,6) has a negative x and a positive y. All the points in Quadrant 2 have a negative x and positive y.
4. You are reading a book that is 268 pages. You have already read 112 pages. You read 39
pages each day. How long will it take you to finish the whole book?
Answers
Answer:
4 days
Step-by-step explanation:
268-112= 156
156 divided by 39 = 4
Answer:
i think it is 4
Step-by-step explanation:
bc you do 268-112=156 then you take 156 and divide it by 39 and you end up getting 4.
The answer the book gave was (1/2, -2)
I was getting close answers as I work it differently but can't seem to work it out to become the answer above...
Answers
Answer:
(x, y) = (1/2, -2)
Step-by-step explanation:
Many people find it convenient to work these problems by eliminating fractions as a first step.
Here, you can do that by multiplying the first equation by 4
4(1/2x +2y) = 4(-15/4)
2x +8y = -15
From here, there are a number of possibilities for arriving at a solution.
__
Multiply the first equation by 2 and you have ...
4x +16y = -30
The second equation says you can replace the first term with -y:
-y +16y = -30
15y = -30
y = -30/15 = -2
Substituting this value into the second equation gives ...
4x = -(-2) = 2
x = 2/4 = 1/2
The solution is (x, y) = (1/2, -2).
__
Alternate solution
You can rearrange the second equation to give an expression for y:
y = -4x
Then, substitute this into the first equation:
(1/2)x +2(-4x) = -15/4
(-15/2)x = -15/4
x = (-15/4)/(-15/2) = 2/4 . . . . . . divide by the coefficient of x
x = 1/2
4(1/2) = -y = 2 . . . . . substitute for x in the second equation
y = -2 . . . . . . . . . . . . multiply by -1
_____
Additional comments on problem solving
I find the key to working troubling problems is to be very meticulous. Make certain you follow the rules of algebra: anything you do to one side of the equation must also be done to the other side. I find it easier to think in those terms when moving stuff around.
Some folks would say, "move this term over there and ...". I like to think of it as "subtract this term from both sides of the equation."
It also helps to be careful when dealing with fractions. Make sure you know how to add, subtract, multiply, and divide fractions. You should be just as able to handle that arithmetic as with integers or decimals. Use a calculator if your skills are shaky.
As you may notice, a graphing calculator can help you verify your answer.
The constants a,b,c are positive. Solve the inequality for x.
a>-bx+c
Answers
Answer:
x > (c - a)/b
Step-by-step explanation:
a > -bx + c
We need to make x the subject of the inequality so, first remove c from the right hand side of the inequality by adding -c to both sides. So,
a - c > -bx
Now, we need to remove -b from the right hand side. So, we will divide both sides of the inequality with -b. Multiplying the inequality with a negative number will also change the sign of the inequality. So,
-(a-c)/b < x
x > (c - a)/b
Answer:
C on edge
Step-by-step explanation:
What type of decimal is the following number?
0.1313
Answers
Answer:
it is repeating decimal.
Answer: repeating
Step-by-step explanation:
PLEASE HELP, DUE TODAY!!! Whoever answers first I will mark as brainliest.
The volume of a large aquarium is 525 yd3. It is 16 2/3 yd wide and 2 4/5 yd high. What is the length of the aquarium?
Answers
Answer:
45/4
Step-by-step explanation:
Volume = h x w x l
First multiply the numbers you have
16 2/3 x 2 4/5= 140/3
Then divide the volume.
525 ÷ 140/3 = 45/4
45/4
Mrs. Hendricks used gallons of gas on a business trip. Her averages 25miles per gallon. How may miles did she travel?
Answers
Answer:
625 miles
Step-by-step explanation:
This is because, since each 25 miles takes one gallon 25 gallons would mean you would go 25 times 25 miles which is 625 miles in all.
JUst please help fast because this a quizziz
Answers
Answer:
b
Step-by-step explanation:
use slope intercept form
Answer:
2
Step-by-step explanation:
Since you need it fast, I am not going to explain.
(2, 4) - (6, 12) = (-4, -8)
-8/-4 = 2
What is the minimum value of the objective function C = 4x + 9y?
Answers
Answer:-24
explain how you know:
Since xy = 4, we have y=4/x. Substituting in (1) we get f(x) = 4x+(36/x) …….(2)
Differentiating we get f ' (x) = 4 - (36/x^2)…..(2)
For maxima or minima, f ‘ (x) = 0
=> 4 - (36/x^2) =0 => (4x^2 - 36)/x^2 = 0 which gives x= +/- 3
Differentiating (2), f ‘’ (x) = 72/x^3
When x= +3 , f ‘’ (x) is clearly +ve. Therefore f(x) at (2) gives minima and the minimum value is 24.
When x= -3, f ‘’ (x) is -ve. Therefore, f(x) has maxima at x= -3. The maximum value is -24.
Note: You may be surprised to observe that the minima is more than the maxima. This is due to the fact that the function is discontinuous at x= 0, the graph of f(x) comprising of two branches, one in the first quadrant giving the minima (= +24) and another in the third quadrant that gives maxima (= -24)
Answer:
its 125 on edg2020 ;)
Step-by-step explanation:
3x+6y=12
x +5y=10
x = 10 – 5y
3(10 – 5y)+6y=12
30–15y+6y=12
30-9y= 12
-9y=-18
y=2
Joey has to solve the system of equations using substitution. He had completed the work shown. What should be his next step
Answers
Someone Please help
I’ll give brainliest x
Answers
Answer:
7)
a. a=5
b. b=7
c. y=10
d. z=6
Step-by-step explanation:
hope this helps:)
Will give brainliest!!! Determine the answer to (−5) + 4 and explain.
Answers
Answer:
The answer is -1 because adding onto a negitive number makes the number go towards 0
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
So, if you have 5 negatives (A) and 4 positives (B) and pair them together:
A B A B A B A B A
You'll see that you have one extra A or -1 leftover.
So, -5 + 4 = -1