The function () = 2 + 4 was replaced with ( + ) resulting in the function
() = 2 + 22. What is the value of ?
Answers
Let's evaluate explicitly [tex]f(x+k)[/tex]:
[tex]f(x)=2x+4\iff f(x+k)=2(x+k)+4=2x+2k+4[/tex]
If this must equal [tex]2x+22[/tex], we have
[tex]2x+2k+4=2x+22 \iff 2k+4=22 \iff 2k=18 \iff k=9[/tex]
Answer:
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Step-by-step explanation:
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Related Questions
Liz flips a coin 70 times. The coin lands heads up 21 times and tails up 49 times. Complete each statement. The theoretical probability of the coin landing heads up is what%.
Answers
The theoretical probability of the coin landing heads up is 30%.
Explanation:The theoretical probability of the coin landing heads up is 30%.
The number of times the coin lands heads up out of the total number of coin flips is called the experimental probability. In this case, the experimental probability is 21/70 = 0.3, or 30%.
The theoretical probability of getting heads on a fair coin is always 50%, but in this specific experiment, the experimental probability varied due to chance. As the number of coin flips increases, the experimental probability should approach the theoretical probability of 50%.
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5x + 6 = 2(2x – 3)
( 30 pts 4 answering right)
Answers
Answer:
x =-12
Step-by-step explanation:
5x + 6 = 2(2x – 3)
Distribute
5x+6 = 4x -6
Subtract 4x from each side
5x-4x +6 = 4x-4x-6
x +6 = -6
Subtract 6 from each side
x+6-6 = -6-6
x = -12
Answer:
x = -12
Step-by-step explanation:
5x + 6 = 2(2x – 3)
5x + 6 = 4x - 6
x = -12
What is 6 times 0 ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
Answers
Answer:
6 x 0 = 0
Step-by-step explanation:
A cone has a base that is a shape of a circle. The length across is 16 feet. The height is 8 feet and the slant height is 10 feet. What is the lateral area of the cone using 3 for pi
Answers
Answer:
The answer to your question is Surface area = 432 ft²
Step-by-step explanation:
Data
diameter = 16 ft
height = 8 ft
slant height = 10 ft
pi = 3
Process
1.- Write the formula to calculate the surface area
Surface area = pi x radius x slant height + pi x radius²
2.- Substitution
Surface area = (3 x 16/2 x 10) + (3 x (16/2)²)
-Simplification
Surface area = 240 + 192
-Result
Surface area = 432 ft²
La persona A compra 12 barras de granola y 7 tazas de yogurt por $ 15.50. La persona B compra 6 barras de granola y 11 tazas de yogurt por $ 11.50. Encuentra el costo de cada artículo.
La última por favor
Answers
Answer:
12,89
Step-by-step explanation:
Answer:
$11.50
Step-by-step explanation:
(English) Granola bars cost $1 each and the yogurt is $.50 per cup. If we plug this in to each equation, you'll see that 12 granola bars equals $12, and 7 cups of yogurt equals $3.50, for a total of $15.50. The second statement would yield $6 + $5.50, which equals $11.50.
(Espanol)Las barras de granola cuestan $1 cada una y el yogur es de $.50 por taza. Si conectamos esto a cada ecuación, verás que 12 barras de granola equivalen a $12, y 7 tazas de yogur equivalen a $3.50, para un total de $15.50. La segunda declaración produciría $6 + $5.50, lo que equivale a $11.50.
Hope this is correct :)
espero que esto sea correcto :)
An aquarium holds 3D 3.75 gallons of water it has a length of 2 feet and a height of 1.5 ft what is the volume of the aquarium what is the width of the aquarium explain
Answers
The width of the aquarium is 0.1625 ft.
Step-by-step explanation:
Given,
The length (l) of the aquarium = 2 ft
Height (h) = 1.5 ft
The capacity of water it holds = 3.75 gallons
That means the volume (V) = 3.75 gallon
To find the width(b) of the aquarium.
Formula
The volume of a cuboid with l as length, b as width and h as height = lbh1 gallon = 0.13 cube ftSo,
V = 3.75×0.13 cube ft
According to the problem,
2×1.5×b = 3.75×0.13
or, b = (3.75×0.13)÷(2×1.5)
or, b = 0.1625 ft
Hence,
The width of the aquarium is 0.1625 ft.
Solve the system using substitution.
y = 4x − 5
y = 2x + 1
A. (−2, −3)
B. (1, 3)
C. (−2, −13)
D. (3, 7)
Answers
Answer:its D (3,7)
Step-by-step explanation:
4x-5=2x+1. Y=2(3)+1 2(3)=6 6+1=7
-2x -2x
2x-5=1
+5 +5
2x=6
X=3
Izzy's dog is 10 1/2 years old. Paige's dog is 18 months old. How many years older is Izzy's dog?
Answers
Answer:
9 Years
Step-by-step explanation:
Paige's dog is 1 1/2 years old, so subtract 10 1/2 by 1 1/2 to get an answer of 9 years.
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?
A.
-3x + 4y = 3
B.
-1.5x − 3.5y = -31.5
C.
2x + y = 20
D.
-2.25x + y = -9.75
Answers
Subtract 6 from me. Then multiply by 2. If you subtract 40 and then divide by 4, you get 8. What number am I?
Answers
Answer:
42
Step-by-step explanation:
Let the number be "x"
We translate the word equation to algebraic equation.
First,
subtract 6 from me, so we have:
x - 6
Now,
Multiply by 2, so we have:
2(x-6)
Now,
Subtract 40, then divide by 4:
[tex]\frac{2(x-6)-40}{4}[/tex]
Now, you get "8", so equate this to 8, we get:
[tex]\frac{2(x-6)-40}{4}=8[/tex]
We now solve using algebra:
[tex]\frac{2(x-6)-40}{4}=8\\2(x-6)-40=4*8\\2(x-6)-40=32\\2x-12-40=32\\2x-52=32\\2x=32+52\\2x=84\\x=42[/tex]
The number is 42
What is the efficiency of a machine that produces 4500 joules of output work for every 4250 joules of input work? (remember to put it in correct units and round to the hundredths place)
Answers
Answer:
105.88%
Step-by-step explanation:
Efficiency:
Output/input × 100
4500/4250 × 100
105.8823529%
Round to 2 SF
644.8
pleeeeeeeeaaaaaaaaaaasssssssssseeeeeeeeee
Answers
Answer:
640
Step-by-step explanation:
the 2nd 4 rounds up making it 640 instead of 650
A rectangular prism has a volume of 577.2 cubic feet. The prism is 5.2 feet long and 7.4 feet wide. What is the height of the prism?
~can someone help?
Answers
Answer:
The height is 15 feet
Step-by-step explanation:
The height is 15 feet
Answer:538.72
Step-by-step explanation:5.2×7.4=38.48
Soo..577.2-38.48=538.72
The population of Atlanta is 5,949,951. It is said to be growing at a rate of 1.3% yearly. What will the population be in 10 years? *
Answers
Answer:
6770299
Step-by-step explanation:
To work this out you would first divide 1.3 by 100, which gives you 0.013. Then you would add 0.013 to 1, which gives you 1.013. This is because you are finding a percentage increase and so you would convert the percentage to a decimal and add it to 1. Then you would multiply 5949951 by 1.013 to the power of 10. This is because you are finding the percentage increase over a span of 10 years.
1) Divide 1.3 by 100.
[tex]1.3/100=0.013[/tex]
2) Add 0.013 to 1.
[tex]0.013+1=1.013[/tex]
3) Multiply 5949951 by 1.013 to the power of 10.
[tex]5949951*1.013^{10} =6770298.9019004[/tex]
4) Round to the nearest whole number.
6770299
Naomi works at a doctor's office. She surveyed a random sample of 100 patients and found that 70% of the patients surveyed take a daily vitamin. Naomi wanted to know if it is plausible that 75% of the entire population of the doctor's patients take a daily vitamin.
Naomi performed 360 trials of a simulation. Each trial simulated a sample of 100 patients under the assumption that 75% of the population takes a daily vitamin. The dot plot shows the results of the simulations.
What is the best conclusion for Naomi to make based on the data?
Answers
Answer:
"It is plausible that 75% of the population takes a daily vitamin because the data shows that a sample proportion of 70% is fairly likely."
Step-by-step explanation:
I took the test!
Based on the dot plot, the majority of the simulated proportions fall between 0.65 and 0.85, which includes the value of 0.75 that Naomi is testing.
What is the significant use of graphs in real life?Graphs are a not unusual place technique to visually illustrate relationships withinside the statistics. The reason for a graph is to provide statistics that are too severe or complex to be defined appropriately withinside the textual content and in much less space.
Naomi can draw the conclusion from the facts that it is implausible that 75% of the doctor's patients take a daily vitamin.
The dot plot reveals that most simulated proportions are below 75% and only a few are above it.
Further evidence that the sample percentage of 70% is unlikely to have originated from a population with an actual proportion of 75% is provided by the fact that the range of the simulated proportions is rather narrow.
The simulation performed by Naomi shows that the statistic that 75% of people take a vitamin every day is not plausible.
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PLEASE HELP
Why were some economists unsure of how to fight stagflation?
It only needs to be about a sentence.
Answers
Answer:
Stagflation is the combination of stagnation and inflation. Its simply mean continues increase in inflation while consumer demand for product is stagnant and there is relatively high unemployment
Reason;
Some economist hold that inflation is caused when demand for goods are high and demand for a product can not be controlled where there is no price regulation.
Answer: The reason was because Economists at that time believed that inflation only occurred when the demand for goods was high.
Step-by-step explanation:
Stagflation occurred in the 1970's in the United States under the rule of President Gerald R. Ford. Stagflation is a term used to describe a situation of both stagnation and inflation in the economy. The period was a tough time in the history of America. It occurred just after the tenure of President Johnson who contributed to the crisis through his policy of pumping money into the economy to increase spending without increasing taxes. The resultant effect of this was inflation.
America was also dependent on oil at that time, even though the price of oil was rapidly increasing. The period saw them importing more goods than exporting. Also, jobs were lost. Economists tried to solve the issue but it was difficult because they believed that inflation could only occur when the demand for goods was high.
find the area of a regular octagon with a perimeter of 96 centimeters
Answers
Answer:
A≈695.29cm²
Step-by-step explanation:
The area of a regular octagon with a perimeter of 96 cm is calculated by first finding the length of one side, then calculating the area of one of the eight isosceles triangles formed within the octagon, and finally multiplying this area by eight to get the total area, which is 384 cm².
To calculate the area of a regular octagon with a given perimeter, we first need to determine the length of one side. Since a regular octagon has equal sides, we can divide the perimeter by 8. In this case, the perimeter is 96 centimeters, so each side of the octagon is 96 cm / 8 = 12 cm.
We know that a regular octagon can be divided into eight identical isosceles triangles. The area of an isosceles triangle can be found by the formula A = (1/2)bh, where b is the base and h is the height.
To find the height of each triangle, we can draw an altitude from the center of the octagon to the base of one of the triangles, which creates two 90-degree triangles.
By using the Pythagorean theorem on one of these right-angled triangles, with the base of each being half the length of an octagon's side (6 cm), and the Pythagorean triple 6-8-10, we can determine the height to be 8 cm. Thus, the area of each triangle is (1/2) * 12 cm * 8 cm = 48 cm².
Finally, since there are eight triangles, the total area of the octagon is 8 * 48 cm² = 384 cm².
PROBLEM 2
Evaluate the expression 9 – z when z = 8.
Answers
Answer:
9-8=1
Step-by-step explanation:
Substitute 8 for z and gives you 9-8 which equals 1
You know:
z = 8 so substitute/plug it into the expression
9 - z Plug in 8 into "z" since z = 8
9 - 8
1
The solution to an inequality is represented by the number line.
*number line below*
How can this same solution be written using set-builder notation?
{x | x > _____}
Answers
Answer:
3 maybe
Step-by-step explanation:
Solution shown in the picture is (x | x > 3).
Inequalities on a number line: x > 0 is represented by the arrow starting from 0 with a hollow point moving towards the numbers greater than 0. x < 0 is represented by the arrow starting from 0 with a solid point moving towards the numbers less than 0. Equal to sign (=) represents a solid point on a number line.
Inequality given in the picture shows,
An arrow starting from 3 with a hollow point moving towards the numbers greater than 3.Therefore, inequality shown in the picture will be x > 3.
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Which functions have a horizontal asymptote? Y = f(x) y = h(x) y = g(x) y = k(x) On a coordinate plane, 4 exponential functions are shown. Y = f (x) approaches the x-axis in quadrant 1 and increases exponentially in quadrant 2. It goes through (0, 1) and (negative 4, 5). Y = g (x) approaches the x-axis in quadrant 1 and increases exponentially in quadrant 2. It goes through (0, 1) and (negative 1, 3). Y = h (x) approaches the x-axis in quadrant 2 and increases exponentially in quadrant 1. It goes through (0, 1) and (1, 3). Y = k (x) approaches the x-axis in quadrant 2 and increases exponentially in quadrant 1. It goes through (0, 1) and (4, 5).
Answers
Answer:
Is all of them !!
Step-by-step explanation:
Because they all have asymptote
Answer:
all of them
Step-by-step explanation:
all have asymptote
London inherited $823,000. If she wants to donate a tenth of her inheritance to charities, how much should she donate?
$
Answers
Answer:
She donated 82,300
Step-by-step explanation:
She donated a tenth of 823,000. A tenth is 10% or .10. A tenth of 832,000 is just 832,000 * .10. Or if it's a tenth, you can take off a zero
Answer:
$82,300
Step-by-step explanation:
823,000 times 0.10
= 82,300
Makayla charges 20 cents per square inch for her frame. How much will she charge for a frame that measures 18 inches on each side and has a width of 3 inches ?
Answers
Answer:
The answer is $10.8 (1,080 cents)
Step-by-step explanation:
First of all, let us calculate the area of the frame:
Area = Length × width = 18 × 3 = 54 in²
We are told that she charges 20 cents per square inch, therefore:
1 in² = 20 cents
∴ 54 in² = 20 × 54 = 1,080 cents.
We know that 100 cents = $1
∴ 1,080 cents = 1/100 × 1,080 = $10.8
Is 29.99 the same as 30
Answers
Answer:
No
Step-by-step explanation:
Many goes bowling, he has 25.00 to spends, he spends 4.25 for rent shoes and spends 2.50 for each game he bowls. Wich inequality can manny use to determine x the greatest number of games he can bowl?
Answers
Answer:
Answer: B
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x represent the greatest number of games he can bowl.
Many goes bowling, he spends 4.25 for rent shoes and spends 2.50 for each game he bowls. It means that the amount that he would spend in bowling x games is
4.25 + 2.5x
If he has 25.00 to spend, then the inequality that Manny can use to determine the greatest number of games he can bowl is
4.25 + 2.5x ≤ 25
Factor completely 16x^2-81
Answers
Answer:
(4x-9) times (4x+9)
Step-by-step explanation:
List the sides of the triangle in order from shortest to longest.
Answers
Answer:
Angle M = 120 degrees
Shortest side = MN
Middle Side = MO
Longest side = ON
Step-by-step explanation:
Answer:
MN < NO < OM
Step-by-step explanation:
∡ M = 180 -45-75=60°
45° opposite side - MN - shortest side
75° opposite side - OM - longest side
60° opposite side - NO
MN < NO < OM
Points D, E, and F are on circle C and EF ≅ DF. Circle C is shown. Line segments D C and E C are radii. Point F is on the opposite side. Lines are drawn from points D and E to point F. Tangents D G and E G intersect at point G. Angle D G E is 76 degrees and angles G D C and G E C are 90 degrees. D F and E F are congruent. What is the measure of ∠CDF? 14° 19° 26° 38°
Answers
Answer:
Letter C: 26
Step-by-step explanation:
Just took the test e2020
Answer:
c
Step-by-step explanation:
What is the constant of proportionality of 3y = 27x
Answers
Answer:
9
Step-by-step explanation:
3y = 27x
We want to find k when y = kx
Divide each side by 3
3y/3 = 27x/3
y = 9x
The constant of proportionality is 9
Does a rectangle have four congruent sides?
Answers
Answer:
NO.
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. So, in other words, 2 shapes or figures in geometry are congruent if they have the exact same size and shape.
A rectangle has 2 pairs of parallel sides. One pair is longer than the other pair. Therefore, to be congruent, all sides have to be equal, which is a square, not a rectangle. So the answer is NO.
No a rectangle does not have four congruent sides instead it has two pairs of congruent sides.
A rectangle has two pairs of congruent sides that are opposite each other. Therefore, a rectangle does not have four congruent sides, but rather two pairs of congruent sides.
For similar light intensity, compact fluorescent bulbs use about 25% of the energy of incandescent bulbs. Let's say you replaced a bulb of 100 W with a fluorescent bulb and that your utility charges $0.15/kW-hour. How many dollars would you save in electricity in the 10,000−hour lifetime of the bulb?
Answers
Answer:
$112.50¢
Step-by-step explanation:
please kindly check the attached file for explanation
$112500 would be saved in electricity in the 10,000−hour lifetime of the Fluorescent bulb.
Given that compact fluorescent bulbs use about 25% of the energy of incandescent bulbs.
Hence, For a 100W bulb, the corresponding energy is:
Fluorescent bulb = 25% of 100W = 0.25 * 100 = 25W
Since the charges is $0.15/kW-hour, hence, for 10000 hour lifetime:
Total charges for Incandescent = 100W * 10000 hour * $0.15/kW-hour = $37500
Total charges for Fluorescent = 25W * 10000 hour * $0.15/kW-hour = $150000
Therefore the money saved in electricity = $150000 - $37500 = $112500
Hence $112500 would be saved in electricity in the 10,000−hour lifetime of the Fluorescent bulb.
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