The square root property to the equation will be (x – 4)² = 25. And the solutions will be the negative 1 and 9.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
The equation is given below.
x² – 8x + 16 = 9 + 16
Then the equation can be written as
(x – 4)² = 25
x – 4 = ±5
x = 4 ± 5
x = -1, 9
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What value of k transforms the graph of f(x)=0.5x+3 into graph g? Describe the transformation.
for 7, 8, and 9
Using translation concepts, the values of k are given as follows:
7. k = 3.8. k = -2.9. k = 2.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem:
In graph 7, g(x) is a shift up of 3 units of f(x), hence k = 3.In graph 8, g(x) is a shift left of 2 units of f(x), that is, g(x) = f(x + 2), hence k = -2.In graph 9, g(x) is a vertical stretch by a factor of 2 of f(x), that is, g(x) = 2f(x), hence k = 2.More can be learned about translation concepts at https://brainly.com/question/27885240
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t(3^3\ 3^4)^5
help!!
The final expression will be given as [tex][\dfrac{1}{243}][/tex] , where the numerator is 1 and the denominator is 243.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given expression:-
E = [tex][\dfrac{3^3}{3^4}]^5[/tex]
The ratio will be solved by elimination three times 3 with the denominator having four times three.
E = [tex][\dfrac{1}{3}]^5[/tex]
We will calculate the three to the power five now which is 243.
E = [tex]\dfrac{1}{243}[/tex]
Therefore the final expression will be given as [tex][\dfrac{1}{243}][/tex] , where the numerator is 1 and the denominator is 243.
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Find the value of x.
A. 6.6
B. 5.5
C. 8.8
D. 1.1
Answer:
the answer is D
Step-by-step explanation:
the answer is D because the
Answer: d
Step-by-step explanation:
find the value of x
Answer:
1 = 120
2 = 120
Step-by-step explanation:
Carlos had at most 7 hours to spend in an amusement park in which he uses 1 hour for lunch and the rest of the time on park rides. What is the maximum number of rides Carlos can comete if each ride takes 15 minutes?
Answer:
24
Step-by-step explanation:
7 hours = 420 mins (7×60)
420-60=360 (time taken for lunch)
15mins=one ride
360÷15=24 rides
Some people took part in a game. The frequency shows information about their scores. Score Frequency 1 - 7 13 8 - 10 14 11 - 15 18 16 - 20 6 21 - 35 13 36 - 50 19 Estimate the mean. Give your answer rounded to 2 decimal places.
The mean is 20.7
What is Mean?Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Class Frequency{f} Midpoint of frequency{x} fx
1-7 13 4 72
8-10 14 9 126
11-15 18 13 234
16-20 6 18 108
21-35 13 28 364
36-50 19 43 817
Sum 83 1721
So,
Mean = 1721/83 = 20.7
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Help asap show your work!
Answer:
x = 4
Step-by-step explanation:
A triangle has points monkeys, giraffes, lions. The distance between lions and monkeys is 11 feet and monkey and giraffes is 16 feet. The distance between lions and giraffes is the hypotenuse of x feet.
Which equations will find the distance between the lions and giraffes? Select all that apply.
11+16 = c
112+ 162 = c2
c2+ 162 = 112
121+ 256 = c2
Pythagoras' theorem is a basic relationship between the three sides of a right triangle in Euclidean geometry. The correct option is D.
What is Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
A triangle has points to monkeys, giraffes, and lions. The distance between lions and monkeys is 11 feet and between monkeys and giraffes is 16 feet. The distance between lions and giraffes is the hypotenuse of x feet. The equation that will find the distance between the lions and giraffes is,
c² = 11² + 16²
c² = 121 + 256
c² = 377
Hence, the correct option is D.
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Answer:
D on edge) 121+ 256...
Identify the figure that portrays the translation of the given preimage as indicated by the direction arrow.
Preimage: (first photo)
The parallelogram will translate along the arrow and reach the head of the arrow.
The translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.
In translation, the rotational motion is not present. Also, the translational motion is a one-dimensional motion.
In the given figure, the parallelogram is present at the tail of the arrow.
The arrow depicts the direction of the translational motion.
So, the parallelogram will reach the end of the arrow as shown in the picture present in the attachment.
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One number is six times another number. Determine the two numbers if the sum of their reciprocals is 7/24
.
Answer:
x=24, y=4
Step-by-step explanation:
x=6y
1/x+1/y=7/24,
1/6y+1/y=7/24
1/6y+6/6y=7/24
(1+6)/6y=7/24
7/6y=7/24, then
6y=24
y=24/6
y=4
x=6y=6*4=24
which relation represents a fuction
Answer:
It should pass the horizontal and vertical line test.
hope it helps!
help ! i have no idea what to do
(Giving 75 points, Please do not answer if you do not know. Wrong answers will result in me reporting them.)
If OP=17 and QP=6, what is OQ? First, complete the Segment Addition Postulate for this problem.
OQ+QP= ?
Fill in what you know and solve for OQ
OQ= 11
Answer: Answers attached in an image.
Step-by-step explanation: Work is attached on the image.
Answer:
OQ = 11
Step-by-step explanation:
Segment Addition Postulate
If a third point B lies on a line segment with endpoints A and C, then AB + BC = AC
Given:
OP = 17QP = 6Q is the point on the line segment OP, so:
⇒ OQ + QP = OP
Substitute the given values of OP and QP to find OQ:
⇒ OQ + 6 = 17
⇒ OQ + 6 - 6 = 17 - 6
⇒ OQ = 11
One way to prove this quadrilateral is a square is by calculating the slopes of its sides and the slopes of its diagonals.
If we can prove that it has 2 pairs of parallel sides, one pair of consecutive sides perpendicular and perpendicular diagonals, then the quadrilateral shown ab
By examining it we found that:
If your answer is a fraction enter is as a fraction. Example: To enter negative one fifth type: -1/5
a. Slope of CB is
b. Slope of DA is
so DA is parallel to CB
c. Slope of CD is
so CD is perpendicular to CB
d. Slope of BD is
e. Slope of CA is
so CA is perpendicular to BD
A slope is also known as the gradient of a line. Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.
What is Slope?A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
How to find the slope?Slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.
Thus, we get:
Slope = rise/ run
The slope of any line can found by finding the ratio of the vertical distance to horizontal distance between two ends. Therefore, the blanks can be filled as shown below.
The Slope of CB is 4/3,The Slope of DA is 4/3, so DA is parallel to CBThe Slope of CD is (-3/4), so CD is perpendicular to CBThe Slope of BD is -7The Slope of CA is 1/7, so CA is perpendicular to BD.Learn more about Slope of Line:
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20 points please!!! helpp with functions and average rate of change
Answer:
option C.
Step-by-step explanation:
If we calculate average rate of change of a function over a certain interval, we’re computing the average number of units which the function moves up or down, per unit along on the xx-axis. We might alternatively argue that we’re measuring how much change occurs in our function’s value per unit on the xx-axis.
The equation for average rate of change is -
Δx/Δf =
f(x2) - f(x1) / x2 - x1
Answer:
C k(x)
Step-by-step explanation:
The average rate of change (m) of a function on an interval is the difference between the function values at the ends of the interval, divided by the interval width:
[tex]m_{ab}=\dfrac{f(b)-f(a)}{b-a}\qquad\text{average rate of change on interval $[a,b]$}[/tex]
__
simplificationHere, the interval of concern is the same for all of the functions. It is [a, b] = [0, 2] so the denominator of this fraction is 2-0 = 2 for all of the functions. That means we can determine the greatest average rate of change by simply looking at the differences f(2) -f(0) for each of the functions.
amount of changeA. j(2) -j(0) = 3(1.6²) -3 = 4.68
B. g(2) -g(0) = 25/2 -8 = 9/2 = 4.5
C. k(2) -k(0) = 9 -4 = 5 . . . . . . . . . . greatest amount of change
D. f(2) -f(0) = 1.5(2²) -1.5 = 4.5
solutionThe function k(x) has the greatest average rate of change over the interval [0, 2].
x = 4 is a solution to x + 2 > 5.
true or false
Answer:
False
Step-by-step explanation:
Beacuse the equation is 4+2>5 with equals 7
Answer:
x = 4 ...In the equation, substitute 4
4 + 2 > 5
6 > 5
(This sign > means greater than)
(This sign < means less than)
In this case of the equation, 6 > 5, it's True
1. Which is the better deal?
A. 3 pack of granola bars for $0.93
B. 8 pack of granola bars for $2.72
C. 9 pack of granola bars for $2.97
D. 6 pack of granola bars for $1.92
Answer:
A or 0.31 per bar
Step-by-step explanation:
To solve this problem we want to find the price of the singular bar and find the cheapest one. So we will divide the amount of bars by the total price, so option A will equal 0.31, option B will equal 0.34, option C will equal 0.33, and option D will equal 0.32. The cheapest per bar price would be a or 3 pack of granola bars for 0.93 cents.
The lenght of a rectangle is 50cm its diagonal is 51 cm worl out the area of the rectangle A=LxW
There is an infinite number of length-width pairs that will result in a diagonal value of c.
Let a = the length. This is unknown.
Let b = the width. This is unknown.
Let c = the diagonal. This is a known value.
We have a right triangle with side a, side b, and hypotenuse c.
Since this is a right triangle, we will use the Pythagorean Theorem.
What is the Pythagoras theorem?
The Pythagorean Theorem is
[tex]c^2 = a^2 + b^2.[/tex]
Rearranging this formula gives
[tex]a^2 = c^2 - b^2[/tex]
And,[tex]a = \sqrt{(c^2 - b^2)}[/tex]
Now, if you chose a value for the width, b, then you can compute the corresponding for the length, b, since c is a known value. If you chose another value for the width, you can compute the length value corresponding to your width value.
There is an infinite number of length-width pairs that will result in a diagonal value of c.
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hello guys, can you give me the answers
The differentiation of the function y = sin(2 sin⁻¹x) is; dy/dx = d√(1 - y²)]/(√1 - x²)
How to differentiate functions?
1) We want to differentiate the function;
[tex]\frac{\sqrt{x + 1} + \sqrt{x - 1}}{\sqrt{x + 1} - \sqrt{x - 1} }[/tex]
Differentiating this gives;
dy/dx = [tex]\frac{[(\frac{1}{2\sqrt{x + 1}} - \frac{1}{2\sqrt{x - 1}}) * \sqrt{x + 1} + \sqrt{x - 1}]}{(\sqrt{x + 1} - \sqrt{x - 1})^{2} }[/tex]
That can be simplified to get;
dy/dx = [tex]\frac{\sqrt{x + 1} + \sqrt{x - 1} }{(x - 1)\sqrt{x + 1} + (-x - 1) \sqrt{x - 1}}[/tex]
2) We want to differentiate the function;
y = sin(2 sin⁻¹x)
Differentiating the function gives;
dy/dx = [2cos(2 sin⁻¹x)]/√(1 - x²)
We know from trigonometric identity that;
cos²x = 1 - sin²x
Thus;
1 - sin²(2 sin⁻¹x) = cos²(2 sin⁻¹x)
But sin²(2 sin⁻¹x) = y²cos²(2 sin⁻¹x)
Thus; √(1 - y²) = cos(2 sin⁻¹x)
dy/dx = d√(1 - y²)]/(√1 - x²)
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A sample of 50 11th graders were asked to select a favorite pattern out of 6 choices. The data list below shows what their favorite color patterns were, and the accompanying frequency table and bar graph represent these data. In the bar graph, the height of the blue-gray bar is 4, the height of the green bar is 9, and so on.
Suppose that, rather than being just a bar graph, the display you see above is a relative frequency bar graph. The vertical axis of the graph will be marked off in percentages, from 0 percent up to 30 percent. What will be the height of the green bar?
A.
15
B.
25
C.
9
D.
18
Answer:
D 18
Step-by-step explanation:
100% = 50 (all students)
1% = 100%/100 = 50/100 = 1/2 = 0.5
we get any percentage for any number by dividing the number by 1% (0.5) to see how often it fits in.
there are 9 votes for green.
9/ 0.5 = 18%
Find the value of x,y and z
Answer:
x = 95°
y = 40°
z = 95°
Step-by-step explanation:
a = 45° (Vertical angles)y = 40° (corresponding angles)z = 180° - (45° + 40°) (Interior angle sum theorem of a triangle)-> z = 180° - 85°-> z = 95°x = z (vertical angles)-> x = 95°
50 points PLEASEE I NEED THIS IN MINUTES sytem of functions thingg
Answer:
is b i think
hope my answer help you
PLEASE HURRY I NEED TO FINISH
Answer: No
Step-by-step explanation:
A proportional relationship can be represented by y = kx, for some constant k. This means the graph should be a line, which is not shown. Thus, the graph does not represent a proportional relationship.
Answer:
no
Step-by-step explanation:
because it does not represent any propotional relationship.
Please Help!! [ tough geometry question :( ]
Answer: [tex]133^{\circ}[/tex]
Step-by-step explanation:
Opposite angles of a cyclic quadrilateral are supplementary, so:
[tex]4x+5+x+15=180\\\\5x+20=180\\\\5x=160\\\\x=32[/tex]
This means that [tex]m\angle A=4(32)+5=\boxed{133^{\circ}}[/tex]
In a casual italian restaurant, sales for the week of september 15 are as follows: food sales: $10.000 beverage sales: $ 2.500 total $12.500 a. if the food cost is 30 percent, how much did the food actually cost? b. if the beverage cost is 25 percent of beverage sales, how much did the beverages cost?
Answer: $625
Step-by-step explanation:
Total beverage sales = $2,500
Beverage cost = 25%
So, $2,500 x 25% = $2,500 x 0.25 = $625
Which expression is equivalent to?
The expression obtained is 2g³-5g² +6 , Option C is the correct answer.
What is an Expression ?An expression is a mathematical statement that consists of constant , variable and mathematical operators.
The expression given is
[tex]\rm \dfrac{(5g^4 +5g^3 -17g^2 +6g) -(3g^4 +6g^3-7g^2 -12)}{g+2}[/tex]
On subtracting the numerator
2g⁴-g³-10g²+6g+12
Now dividing the numerator by denominator
The expression obtained is 2g³-5g² +6
Therefore Option C is the correct answer.
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Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. a solid right pyramid with a square base has a base edge measuring 6 inches. which is the slant height of the pyramid if helen uses all the clay?
The slant height of the pyramid will be 5 inches.
Given Information and Formula Used
Volume of the clay = 48 cubic inches
Edge of the square base of the pyramid, a= 6 inches
Volume of the pyramid = (1/3) × Base Area × Height
Pythagoras Theorem, l² = x² + h²
Here, l is the hypotenuse, x is the base and [tex]h[/tex] is the height in a right angle triangle.
Calculating the Height, h of the Pyramid
Volume of the pyramid = Volume of the clay
Volume of the pyramid, V= 48 cubic inches
Base Area of the pyramid, B = a²
⇒ B = 6² square inches
⇒ B = 36 square inches
∵ V = (1/3)×B×H
[tex]\frac{1}{3}*36*h = 48[/tex]
∴ [tex]h = \frac{48*3}{36}[/tex]
⇒ h = 4 inches
Calculating the Slant Height, l of the Pyramid
Applying Pythagoras Theorem to determine the slant height,
l² = x² + h²
Here, we have x=a/2
[tex]l^{2} = \frac{a^{2} }{4} + b^{2}[/tex]
[tex]l^{2} = \frac{6^{2} }{4} + 4^{2}[/tex]
[tex]l = \sqrt{9+16}[/tex]
[tex]l=\sqrt{25}[/tex]
l =5 inches
Thus, the slant height of the solid right pyramid with a square base made by Helen is 5 inches.
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List the angles in triangle JKL in order from largest to smallest.
Answer:
answer is B
Step-by-step explanation:
We know,
Opposite of a big arm has a big angle....the same way you can find the next two....
as 18>16>14
Type the correct answer in the box. Round off your answer to the nearest integer.
Angle A and Angle C are right angles. m
Answer:
59
Step-by-step explanation:
[tex] \sqrt{ {6}^{2} + {5}^{2} } = \sqrt{36 + 25} = \sqrt{61} [/tex]
[tex] \cos(p) = \frac{4}{ \sqrt{61} } [/tex]
[tex]p = {cos}^{ - 1} \frac{4}{ \sqrt{61} } = 59[/tex]
Make sure your calculator is in degree mode.
give the center and radius of the circle defined by the following equation (x - 1)^2 + y^2 = 5
the general equation of a circle is given by (x-a)^2+(y-b)^2=r^2
where (a,b) are the coordinates of the center.
from the given equation then (1,0) will be the center of the circle. and for the radius of the cirlce equate r^2 with 5...r^2=5 therfore r=
[tex] \sqrt{5} [/tex]
.
