Answer:
B. \(f(x)=-(x-4)^{2} -3\)
Step-by-step explanation:
\(f(x)=x^{2}\)
The transformations are:
Reflected upon the x axis (x is now negative):
\(f(x)=-x^{2}\)
Moved 4 units to the right (instead of just the variable x, you have (x-4)):
\(f(x)=-(x-4)^{2}\)
And finally moved 3 units down (so now it's minus 3):
\(f(x)=-(x-4)^{2} -3\)
Hope this helps! :]
Morgan, Nicholas, and Brooklyn had a challenge to see who could run the farthest in a week. Morgan ran 20 miles, Nicholas ran 14 times as many miles as Morgan and Brooklyn ran 1/3 as many miles as Nicholas. What equation could you use to find how many miles Brooklyn ran?
The equation to find how many miles Brooklyn ran is z = 1/3y.
Equation:
An equation is the statement of equality between two expressions consisting of variables and/or numbers.
Given,
Morgan, Nicholas, and Brooklyn had a challenge to see who could run the farthest in a week. Morgan ran 20 miles, Nicholas ran 14 times as many miles as Morgan and Brooklyn ran 1/3 as many miles as Nicholas.
Here we need to find the equation could you use to find how many miles Brooklyn ran.
Let x be the miles run by Morgan, y be the miles run by Nicholas and z be the miles rum by the Brooklyn.
So, it can be written as,
=> x = 20
=> y = 14x
=> z = 1/3y
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uanita’s lunch cost $13 plus a 15% tip. What was the total price of her lunch? A. $13.15 B. $14.50 C. $14.95 D. $19.50
Answer:
C. $14.95
Step-by-step explanation:
Do $13 times 15 divided by 100 and add that to $13.
Answer:
C. $14.95
Step-by-step explanation:
You can find 10% of your bill by moving the decimal one place to the left. If 26.50 is 100% then 10% is 2.65. Since 20% is 2 times 10%, 20% of the bill is 2.65 + 2.65 = 5.30. Now you know the tip you could leave ranging from poor to good, $2.65 to $5.30. To find 15%, halfway in between, we know 15% is 10% plus 1/2 of 10% (5%). 2.65 plus about 1.30 is 3.95.
Now you have
10% is 2.65 - by moving decimal 1 place left
15% is 3.95 - 10% + 1/2 of 10%
20% is 5.30 - 10% * 2
Hope this helps!
Which number is the same distance away for zero as is the number 4
Answer:
The numbers 4 and -4 are the same distance away from 0 on the number line. The number -63 is less than the number 4. The number -63 is further away from 0 than the number 4 on the number line
Help me with this question pls!
Answer:
1 is parallel to 3. 1 is perpendicular to 2. 2 is perpendicular to 3.
Step-by-step explanation:
The slope of line 1 is 5/3. This is because it is the m term from the equation y=mx+b.
The slope of line 2 is -3/5. You would have to solve the equation in the following format.
\(6x+10y-6x=-4-6x\)
\(\frac{10y}{10}=\frac{-4-6x}{10}\)
Which simplifies to y=-2/5 - 3/5x, making -3/5 the slope.
The slope of line 3 is 5/3, which can be found by dividing both sides of the equation by 3.
Parallel lines have exactly the same slope. So lines 1 and 3 are parallel.
Perpendicular lines have opposite reciprocal slopes. So lines 1 and 2, and 2 and 3 are both perpendicular.
could I have some help on my patterns assignment
Answer:
1. 13, 18, 23, 28, 33, 38, 43, 48, 53
Conjecture: Each term is 5 more than the previous term.
2. 512, 256, 128, 64, 32, 16, 8, 4, 2
Conjecture: Each term is half of the previous term.
3. 1, 8, 27, 64, 125, 216, 343, 512, 729
Conjecture: Each term is a cube. To find the nth term, cube n.
4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31
Conjecture: Each term is the next consecutive prime number.
5. Correct as is
6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89
Conjecture: Each term is the sum of the 2 previous numbers.
Step-by-step explanation:
1.
Given: 13, 18, 23, 28
We add 5 to each number
13 + 5 = 18
18 + 5 = 23
23 + 5 = 28
28 + 5 = 33
33 + 5 = 38
38 + 5 = 43
43 + 5 = 48
48 + 5 = 53
2.
Given : 512, 256, 128, 64
Divide each number by 2
512 ÷ 2 =256
256 ÷ 2 = 128
128 ÷ 2 = 64
64 ÷ 2 = 32
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
3.
Given: 1, 8, 27, 64
We have to cube n:
n³ = consecutive number cubed
1³ = 1 or 1 × 1 × 1
2³ = 8 or 2 × 2 × 2
3³ = 27 or 3 × 3 × 3
4³ = 64 or 4 × 4 × 4
5³ = 125 or 5 × 5 × 5
6³ = 216 or 6 × 6 × 6
7³ = 343 or 7 × 7 × 7
8³ = 512 or 8 × 8 × 8
9³ = 729 or 9 × 9 × 9
4.
Consecutive prime number: Consecutive prime numbers are those that have no gaps or prime numbers between them.
Look at the picture in the link:
6.
Given: 1, 1, 2, 3, 5, 8
We must add the two previous numbers to get the next term:
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
5 + 8 = 13
8 + 13 = 21
13 + 21 = 34
21 = 34 = 55
34 + 55 = 89
Solve this system of equations by substitution or by linear combination
Jerry has 20 meters of rope. Using estimation, approximately how many feet of rope does Jerry have if 1 meter= 3.28feet
Answer:
65.6
Step-by-step explanation: 3.28ft times 20 (the length of how many meters) is 65.6
Answer:
65.5
Step-by-step explanation:
estamaite
Which ordered pair is a solution if the equation:13y = -5x-2A. Neither B. Only (3,1)C. Both (3,1) and (-3,1)D. Impose to determine from data provided E. Only (-3,1)
The ordered pair that is a solution of the equation 13y = -5x - 2
is only (-3, 1)
The answer is option E
To check this
Algebra Help Please!
Given f(x) = -3x + 5, find f(-6).
Distributive property of 45+18
Answer:
Step-by-step explanation:
9(5 + 2)
45: 1,3,5,9,15,45
18:1,2,3,6,9,18
GCF= 9
write the slope-intercept form of the equation of each line
Answer:y=x+4
Step-by-step explanation:
It's y=x+4 because the y-intercept is 4 and the x intercept is -4. To find slope, do 4/4 which is 1.
Is the Mean Value Theorem applicable to the function f(x) = |x - 1| on the interval [0, 2]?
Why or why not?
In a right triangle shaped house the roof is 51 feet long and the base of the house is 29 feet across calculate the height of the house
Accοrding tο the Pythagοrean theοrem, the height οf the hοuse is apprοximately 41.98 feet.
What is the Pythagοrean theοrem ?The Pythagοrean theοrem is a fundamental result in Euclidean geοmetry that describes the relatiοnship between the three sides οf a right-angled triangle. In equatiοn fοrm, this can be written as: c² = a² + b²
where c is the length οf the hypοtenuse, and a and b are the lengths οf the οther twο sides (alsο knοwn as the legs) οf the right-angled triangle.
In a right triangle, the rοοf acts as the hypοtenuse, and the base οf the hοuse and the height οf the hοuse fοrm the legs οf the triangle. Therefοre, we can use the Pythagοrean theοrem tο find the height οf the hοuse. In this case, the base οf the hοuse is a = 29 feet and the hypοtenuse is c = 51 feet. We can sοlve fοr the height οf the hοuse, which is b:
b² = c² - a²
b² = 51² - 29²
b² = 2601 - 841
b² = 1760
b = √1760
b ≈ 41.98
Therefοre, the height οf the hοuse is apprοximately 41.98 feet.
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The following are the ages of 12 history teachers In a school district 29,30,32,32,39,41,46,49,50,51,52,53 minimum lower quartile median upper quartile maximum and interquartile range
The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.
How does interquartile range work?Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.
According to the given information:To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.
Step 1: Find the median (Q2)
When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:
Median (Q2) = (41 + 46)/2 = 43.5
Step 2: Find the lower quartile (Q1)
The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:
Q1 = (32 + 32)/2 = 32
Step 3: Find the upper quartile (Q3)
The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:
Q3 = (50 + 51)/2 = 50.5
Now we have all the information we need to construct the five-number summary and interquartile range:
Minimum: 29
Lower quartile (Q1): 32
Median (Q2): 43.5
Upper quartile (Q3): 50.5
Maximum: 53
Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5
the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.
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Answer 5x + 8 − 3x = −10
Answer:
-9
Step-by-step explanation:
5x+8-3x = -10
Combine like terms
2x+8 = -10
Subtract 8 to both sides
2x = -18
Divide both sides by 2
x = -9
Answer:
-9
Step-by-step explanation:
5x + 8 - 3x = -10
Combine like terms
2x + 8 = -10
Subtract 8 to both sides
2x = -18
Divide both sides by 2
x = -9
What is the 25th term of the Arithmetic Sequence: 4, -1, -6, -11 . . .
Answer: -116
Step-by-step explanation:
Which number in standard form is equivalent to 90 000 + 700 000 + 40 000 000 + 100 000 000
A) 407 090 000
B) 974 190 000
C) 1 407 900 000
D) 140 790 000
Answer:
D
Step-by-step explanation:
Standard form is in number form.
For example, the standard form of 12+6 is 18
We need to solve 90,000 + 700,000 + 40,000,000 + 100,000,000 to get the standard form.
\(90000 + 700000 + 40000000 + 100000000 = 140790000\)
The standard form is 140,790,000. So the answer is D.
Hope this helps :)
Have a great day!
Scaling a Rectangle
A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7.
Scale factor back to original size = 1/7
The transform object is a mathematical mapping from one coordinate system to another. The coordinate system can differ in position (i.e. origin), scale, axis orientation, and relative axis orientation. We are told that the rectangle has been scaled by a factor of 7. This means that if the length and width are x and y respectively, the new scaled measurements will be;7x and 7 years.
Now, to get us back to the original size, all we have to do is divide the new scale measure by a factor of 7.This means the original size will be;
Length = 7x × 1/7
Width = 7y × 1/7
Hence, the scale factor will be 1/7 back to the original size.
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2x+3/4 = x+7/3
WHAT DOES X EQUAL PLEASE HELP ME!!!
Help pls George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
The width of the dog run is 20 feet.
In the given problem, the length of the dog run is given as 30 feet.
The area of the dog run is also given as 240 square feet.
Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).
Rearranging the formula, we have w = A / l.
Plugging in the values, we get w = 240 / 30 = 8 feet.
Since the width is given as (30 minus x) feet, we can set up an equation:
30 - x = 8. Solving for x, we find x = 22.
Therefore, the width of the dog run is 20 feet (30 - 22 = 8).
In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.
The area of the dog run is given as 240 square feet.
By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.
Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.
This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).
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Given m∥n, find the value of x.
Answer:
x = 11
Step-by-step explanation:
The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.
Step 1: Thus, we can find the value of x by setting the two angles equal to each other:
7x + 14 = 9x - 8
7x + 22 = 9x
22 = 2x
11 = x
Optional Step 2: We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:
7(11) + 14 = 9(11) - 8
77 + 14 = 99 - 8
91 = 91
The results of a coin toss are shown.
What is P(heads)?
H T H H H T H T T H H T H T T T H H T H T T H H H H T H T T
A. 8/15. B.7/17. C.1/2. D3/5
Answer:
A is the answer!
Because that's reduced of 16/30
Evaluate the expression
12 - 3 2+429,- 4) for y = 3.
Answer:
9,427) y=5
is correct answer
uiuuiukiuiuiiuiuiuiuijkyfyi
Answer:
rawrrrrrr mannnnnn
Step-by-step explanation:
Answer:
Boo!
Step-by-step explanation:
If a is half b , and b is twice c , then a:c=
Answer: a/c = 1
a/b = 1/2 => a = 1/2 .b
b/c = 2 => c = 1/2 .b
=> a/c = (1/2.b)/(1/2.b) = 1
Step-by-step explanation:
If a is half b, and b is twice c, then the fraction a:c will be 1.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.
As per the given,
a is half b ⇒ a = b/2
b is twice c ⇒ b = 2c
By substitution,
a = (2c)/2
a = c
a:c = 1:1 = 1
Hence "If a is half b, and b is twice c, then the fraction a:c will be 1".
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10 POINTS PLEASE HELP) Select the correct graph for the function ƒ(x) = 3x + 4.
LOOK AT PICS FOR OPTIONS
Answer:
C
Step-by-step explanation:
4 is the y-intercept and 3 is the slope making the answer C.
As per the data the graph (A) represents the graph of the function f(x) = 3x+4 option (C) is correct.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of the function:
f(x) = 3x + 4
Let's plug x = 0
f(0) = 4
Let's plug x = 1
f(1) = 7
Let's plug x = -1
f(-1) = 1
Thus, as per the data above the graph (C) represents the graph of the function f(x) = 3x+4 option (C) is correct.
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Write the equation in slope-intercept form that represents the line shown.
a rectangle with a width of 30 centimeters has a perimiter of 100 centimeters to 160 centimeters graph a compound inequality
Answer:
5 ≤ L ≤ 35
Step-by-step explanation:
Let w represent the width of the rectangle.
The perimeter (P) of the rectangle is given by:
P = 2w + 2L
Where L is the length of the rectangle.
We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:
100 ≤ 2(30) + 2L ≤ 160
100 ≤ 90 + 2L ≤ 160
10 ≤ 2L ≤ 70
We can now divide both sides by 2 to solve for L:
5 ≤ L ≤ 35
Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is: 5 ≤ L ≤ 35
The radius of a circle is 15ft. Find it’s area in terms of Pi.
If radius of a circle is 15 m then the area of circle is \(\sf 225\pi\) square units.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.
Given that radius of a circle is 15m.
We have to find the area of the circle.
The formula for area of the circle is \(\sf A=\pi r^2\)
Given r is 15
Substitute r = 15 in the area formula.
\(\sf A=\pi (15)^2\)
\(\sf =\pi \times15\times15\)
\(\sf =225\pi\)
Hence, if the radius of a circle is 15 m then the area of circle is \(\sf 225\pi\) square units.
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Solve the problem:
\(x + 20 = 50\)
Answer:
x = 30
Step-by-step explanation:
x + 20 = 50
→ x = 50 - 20
→ x = 30