Answers
9514 1404 393
Answer:
(d) x = 3
Step-by-step explanation:
The "vertex form" of the equation of a parabola is ...
y = a(x -h)² +k
In this form, the vertex has coordinates (h, k).
Comparing the form to your equation, you see that h=3, k=4, so the vertex is (h, k) = (3, 4).
The line of symmetry is a vertical line through the vertex. It will have the same x-value as the x-coordinate of the vertex:
x = 3
_____
In short, the equation of the line of symmetry has its constant equal to the opposite of the value added to x. Here, the added constant is -3, so the line of symmetry is x=3.
The values h and k in the vertex-form equation represent the amount of translation right and up from the parent function graph. When the graph is translated 3 units to the right, the line of symmetry moves from x=0 to x=3.
Related Questions
A turtle is crawling up a hill that rises 6 feet for every horizontal change of 36 feet. Write the slope of the hill as a
fraction in simplest form.
Answers
9514 1404 393
Answer:
1/6
Step-by-step explanation:
The slope is the ratio of rise to run.
slope = rise/run = (6 ft)/(36 ft) = 6/36 = 1/6
The slope of the hill is 1/6.
helppppppppppppppppppppppppppppp
Answers
4*((7x-6)+(4x-3))=360
7x-6+4x-3=90
11x=99
x=9
∠ACD = (7x-6)=7*9-6 = 57°
Therefore ∠ADC=(8x-6)°
Same for ∠DCB, AC bisects ∠DCB
Therefore ∠DCB=(14x-12)°
Because AD//BC, ∠DCB+∠ADC=180°
i.e. 22x-18=180
x=9
Becky earned $21,280.08 last year. She earned the same amount each month. To the nearest penny, how much did she earn per month last year?
Answers
Vicky is renting an apartment.In addition to the first month’s rent, the landlord requires him to pay half of a month's rent as security-deposit and 40% of a month's rent for utility bills before moving in.The total amount he has to pay the landlord before moving in is $3800. What is monthly rent ?
Answers
Answer:
$2000Step-by-step explanation:
Let the monthly rent be x.
Then we have:
x + 0.5x + 0.4x = 38001.9x = 3800x = 3800/1.9x = 2000Monthly rent is $2000
Answer:
the answer to your question is $2000
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=57(0.4)^x
Answers
Answer:
Decay, 60%
Step-by-step explanation:
Remember that the exponential function is written in the form [tex]y=ab^x[/tex]. In this problem, a=57 and b=0.4. A function is considered a growth function when [tex]b>1[/tex]. Since 0.4 not greater than 1, this is an exponential decay function.
Now, to find the rate of decrease we can use part of the form [tex]y=a(1-r)^x[/tex].
[tex]1-r[/tex] represents the percentage decrease, in this case, 0.4. If that entire term is 0.4, we need to solve for [tex]r[/tex].
[tex]1-r=0.4\\r=0.6[/tex]
So, the rate of percentage decrease is 60%.
I hope this helps!
Mason bought c chocolates. Cameron bought 20 times as many chocolates as Mason. Write an expression that shows how many chocolates Cameron bought.
Answers
Answer:
20c is the expression
PLEASE HELP ME!!!!!!!!!!!!!!!!!
One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.
Answers
Answer:
1.8 gallons
SEE NOTE BELOW*
Step-by-step explanation:
2x10x16=320
2x20x10=400
400+320=720
720÷400=1.8 gallons
NOTE* This would be painting the four walls. If you include the floor and ceiling:
2x16x20=640
720+640=1360
1360÷400=3.4 gallons
The least amount of paint needed to paint the walls of a room in the shape of a rectangular prism is 1.8 gallons (2 gallons approx).
What is rectangular prism?Actually, prisms get their name from the way their faces are shaped. Therefore, a rectangular prism is just a prism with rectangular faces. Although it is a closed, three-dimensional object, two rectangles serve as its foundation.
The formula to calculate the total surface area of a rectangular prism is given as,
TSA of rectangular prism = 2(lb + bh + lh)
Where, l is length, b is breadth and h is the height of the rectangular prism.
Calculation for the paint required for rectangular prism:
The area of the sides of prism to be painted is
Area A = 2×(length×height) + 2×(breadth×height)
Length = 20 feet
Breadth = 16 feet
Height = 10 feet
A = 2×(20×10) + 2×(16×10)
A = 720 sq. feet
Now, the paint need for painting 400 sq. feet is 1 gallon.
Thus, paint required for 720 sq. feet is,
=> 720 ft² / 400 ft² /gal = 1.8 gal
Therefore, for painting rectangular prism, the amount of paint required is 1.8 gal.
To know more about the prism, here
https://brainly.com/question/16803016
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Two sides of a triangle have the same length. The third side measures 3 m less than twice that length. The perimeter of the triangle is 25m. Find the lengths of the three sides.
Answers
Answer:
two sides have the length of 7m
third side is 11m
Step-by-step explanation:
perimeter is the sum of all sides
let 'n' = length of congruent sides
let '2n - 3' = length of third side
25 = n + n + 2n - 3
25 = 4n - 3
28 = 4n
n = 7m
2(7) - 3 = 11m
In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 71 and a standard deviation of 7. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D.
Answers
Answer:
The lowest score on the final exam that would qualify a student for an A is 80.
The lowest score on the final exam that would qualify a student for a B is 74.68.
The lowest score on the final exam that would qualify a student for a C is 67.33.
The lowest score on the final exam that would qualify a student for a D is 62.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 71 and a standard deviation of 7.
This means that [tex]\mu = 71, \sigma = 7[/tex]
Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's.
This means that:
90th percentile and above: A
70th percentile and below 90th: B
30th percentile to the 70th percentile: C
10th percentile to the 30th: D
Lowest score for an A:
Top 10% receive A, which means that the lowest score that would qualify a student for an A is the 100 - 10 = 90th percentile, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 71}{7}[/tex]
[tex]X - 71 = 7*1.28[/tex]
[tex]X = 80[/tex]
The lowest score on the final exam that would qualify a student for an A is 80.
Lowest score for a B:
70th percentile, which is X when Z has a pvalue of 0.7, so X when Z = 0.525.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.525 = \frac{X - 71}{7}[/tex]
[tex]X - 71 = 7*0.525[/tex]
[tex]X = 74.68[/tex]
The lowest score on the final exam that would qualify a student for a B is 74.68.
Lowest score for a C:
30th percentile, which is X when Z has a pvalue of 0.3, so X when Z = -0.525.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.525 = \frac{X - 71}{7}[/tex]
[tex]X - 71 = 7*(-0.525)[/tex]
[tex]X = 67.33[/tex]
The lowest score on the final exam that would qualify a student for a C is 67.33.
Lowest score for a D:
10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 71}{7}[/tex]
[tex]X - 71 = 7*(-1.28)[/tex]
[tex]X = 62[/tex]
The lowest score on the final exam that would qualify a student for a D is 62.
anyone know which company charges the greatest rate per window?
Answers
Company B costs most per window
Step by step:
company a = 25x + 50
company b = 40x + 15
company c = 35x + 25
What is the area of the shaded region? Round to the nearest tenth.
Answers
Answer:
The answer is 50.2cm²
Step-by-step explanation:
Area of the whole circle (the whole shape)
A= πr²
A= 3.14 x (5cm)²
A= 3.14 x 25cm
A= 78.5cm²
Area of the part in the middle (non-shaded part)
A= πr²
A= 3.14 x (3cm)²
A= 3.14 x 9cm
A= 28.26cm²
78.5cm² - 28.26cm² = 50.24cm²
Answer rounded to the nearest tenth: 50.2cm²
Hope this helps :)
A car is traveling at a constant speed. Find the number of miles the car travels in 1 hour at the given rate of 135 miles in 3 hours.
Answers
d varies jointly with w and p and inversely with u
In your equation, use k as the constant of proportionality.
Answers
Answer:
huh?
Step-by-step explanation:
If D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.
What is proportion?A mathematical comparison of two numbers is known as proportion. If two sets of given numbers increase or decrease in the same ratio, the ratios are said to be directly proportional to each other, according to proportion.
How to solve this problem?Given that D varies jointly with w and p. Then it can be written as
D ∝ w × p ...(1)
Again D varies inversely with u.
Then, D ∝ 1/u ...(2)
From (1) and (2), D ∝ (wp)/u ...(3)
We can take k as the constant of proportionality.
So, (3) becomes, D = k(wp/u) = (kwp)/u
Therefore, if D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.
Learn more about proportionality here -
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Need ASAP, please help!
Answers
========================================================
Explanation:
Segments DB and DC are the same length. This makes triangle BCD to be isosceles. Recall that the base angles of any isosceles triangle are congruent angles. The base angles are opposite the congruent sides.
So because DB = DC, this makes B = C the congruent base angles in question. Let's say they are x for now.
Also recall that for any triangle, the three angles always add to 180 degrees.
B+C+D = 180
x+x+44 = 180
2x+44 = 180
2x = 180-44
2x = 136
x = 136/2
x = 68
So angles B and C, of triangle BCD, are 68 degrees each.
This leads to angle BCD to be 68 degrees as well.
Now we'll turn to the Tangent-Chord Theorem. This says that the angle made between a chord and a tangent is the same measure as the inscribed angle that is opposite the chord.
In this case,
AB is the tangentDB is the chord we want to focus onangle ABD is the angle between the chord and tangentangle BCD is the angle opposite the chordSo because angle BCD is 68 degrees, so is angle ABD.
The distance from Leeds to London is 210 miles. The train
travels at an average speed of 90 mph. If I catch the 9.30 am
train in London, at what time should I expect to arrive in
Leeds?
Answers
Distance = speed x time
Rearrange the formula
Time = Distance/speed
D = 210 miles; S = 90
Time = 210/90 = 2.33 hours
First add 2 hr and then add 0.33333 hr
9:30 + 2 hr = 11:30
Converting 0.33333 into min
0.33 x 60 = 20 min
11:30 + 20 min = 11:50 am
Solve for y
2(3 + 3y) + y = 11
Answers
2(3 + 3y) + y = 11
First, apply the distributive property:
2(3 + 3y) + y = 11
6 + 6y + y = 11
6 + 7y = 11
Substract 6 from both sides:
6 - 6 + 7y = 11 - 6
7y = 5
Divide both sides by 7:
[tex]\dfrac{7y}{7} = \dfrac{5}{7}[/tex]
[tex]\boxed{y = \dfrac{5}{7}}[/tex]
Answer. The value of y = 5/7.Margaret pays $580 per month to rent her apartment. at the beginning of the next year, the apartment complex is increasing its rent 5%. How much will Margaret pay each month to rent the apartment next year.
A $870
B $609
C $596
D $585
Answers
B)-$609 :)
How do you write 246% as a fraction or mixed number?
Answers
Answer:
246/100 as a fraction, and 2 46/100 as a mixed number..
Step-by-step explanation:
Answer: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
2 and 23/50
or as a simplified fraction 123/50
Step-by-step explanation:
Is either x=5 or x=3 a solution to 11- x <7
Answers
Answer:
x = 5Explanation:
11 - x < 7
11 minus a number is less than 7Insert 5 into the equation
11 - 5 < 7
Simplify
6 < 7
This is trueInsert 3 into the equation
11 - 3 < 7
Simplify
8 < 7
This is falsex = 5 is a solution to the equation 11 - x < 7- PacificNorthwest
Answer:
x=5 is the correct answer
Step-by-step explanation:
First we start off to see if x=3 could work (put the x value in)
11-3<7
(11-3=8)
8<7 This is false
Now lets try the other one-
11-5<7
(11-5=6)
6<7
The value x=5 is the correct answer
P.S If you don't mind, could I have brainlest? (if you think my answer is the best)
Factor the expression using the GCF.
100 – 80
Answers
Answer:
The Greatest Common Factor (GCF) for 100 and 80, notation GCF (100,80), is 20.
Step-by-step explanation:
Answer:
20 gcf
Step-by-step explanation:
JCF the first 20 yan ata hehehheheheheheheh
Figure ABCD is reflected over the y-axis to obtain figure A′B′C′D′ below: A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5. Which statement best describes the relationship between the two figures? Figure ABCD is similar to figure A′B′C′D′. Figure ABCD is bigger than figure A′B′C′D′. The measure of angle D is equal to the measure of angle A′. The measure of angle D is equal to the measure of angle B′.
Answers
Answer:
A. Figure ABCD is similar to figure A′B′C′D′Step-by-step explanation:
Refer to attached graph
Statements
Figure ABCD is similar to figure A′B′C′D′.
True. Similar sides and congruent angles.Figure ABCD is bigger than figure A′B′C′D′.
False. They have same area.The measure of angle D is equal to the measure of angle A′.
False. D is equal to D'The measure of angle D is equal to the measure of angle B′.
False. D is equal to D'.Answer:
A
Step-by-step explanation: The Person AbovE Is 100% Right and I can't explain this question any better.
6 4/5 as a fraction greater than 1
Answers
Answer:
34/5
Step-by-step explanation:
5/5 x 6 = 30/5 + 4/5 = 34/5
1 < 34/5
A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represent the number of large tables and y represent the number of small tables. The expression 10A + 6B, which represents the total number of people you can seat using A large tables and B small tables, is called a linear combination. For instance, 150 people could be seated using 6 large tables and 15 small tables. Use that expression to enter an equation in standard form that models all the different combinations of tables the restaurant could use. Then identify at least one possible combination of tables other than (6, 15).
The equation is . Another possible combination is
Answers
Answer:
15
Step-by-step explanation:
CAN SOMEONE PLEASE EXPLAIN WHY THE ANSWER FOR THIS IS 4N+15. THIS IS 10 MINUTES PAST DUE!!! TAKE 20 POINTS
Answers
so here's the breakdown of the sentence:
Daquan has 15 more than (15 +) 4 times as many (4n) walnut trees in his orchard as he has almond trees.
hopefully this makes sense! have a nice day
What type of angle is this?
A. Straight angle
B. Supplementary
C. Complementary
Answers
The number of cell phone tower sites in the United States was 195,613 in
2006. By 2012, the number of cell phone tower sites had increased by 54.3%.
Find the number of cell phone towers in 2012. Round your answer to the
nearest whole number
Answers
Answer:
Step-by-step explanation:
195613(1+.543)
195613(1.543)
301831
Y = 5x + 4
Y = 3x+10
solve for the solution (x,y)?
Answers
Answer:
The solution (x,y) is (3,19).
Step-by-step explanation:
We are given two equations for y.
y = 5x + 4
y = 3x + 10
They are equal, which means that we can find x. So
5x + 4 = 3x + 10
2x = 6
x = 3
With x, we can find y:
y = 5*3 + 4 = 19
So the solution (x,y) is (3,19).
What is the coefficient of the term 12p+9q
Answers
Answer:
The answer is 12.
Step-by-step explanation:
12 is the coefficient because it is the number multiplied by the variable p in the equation.
I hope this helps u! :D
-2/3- (-3/4)
Simplify if needed
Brainliest
Also, 5/6+5/12
Answers
Answer:
[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}[/tex]
[tex]\frac{5}{6} + \frac{5}{12} = \frac{5}{3}[/tex]
Step-by-step explanation:
Given
[tex]-\frac{2}{3} - (-\frac{3}{4})[/tex]
Required
Solve:
[tex]-\frac{2}{3} - (-\frac{3}{4})[/tex]
Open bracket
[tex]-\frac{2}{3} - (-\frac{3}{4}) = -\frac{2}{3} +\frac{3}{4}[/tex]
Take LCM
[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{-8+9}{12}[/tex]
[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}[/tex]
[tex]\frac{5}{6} + \frac{5}{12}[/tex]
Take LCM
[tex]\frac{5}{6} + \frac{5}{12} = \frac{10+5}{12}[/tex]
[tex]\frac{5}{6} + \frac{5}{12} = \frac{15}{12}[/tex]
Divide by 3/3
[tex]\frac{5}{6} + \frac{5}{12} = \frac{5}{3}[/tex]
what greater than 476 and less than 598
Answers
Answer:
Any numbers 477 to 597
I could pick 500 i mean its greater than 476 and less that 598.
Most likely I would pick 597 because its close.