Answer:
[tex]y = - 2 |x - 2| + 4[/tex]
Step-by-step explanation:
as the function moved to the right 2 steps, and up 4 steps
Q1.Simplify:
(I) {1³+2³}×(1/3) ²
(II) {5^-1×4^-1}²
(III) {(1/3) ^-1×(1/2)^-2}÷(1/4) ^-3
Give correct answer I will mark as brianlist. It wrong will deleated.
[tex]\textbf{(i)}\\\\\{1^3 +2^3 \} \times \left(\dfrac 13 \right)^2\\\\=(1+8) \left(\dfrac 19 \right)\\\\=9\left(\dfrac 19 \right)\\\\=1\\\\[/tex]
[tex]\textbf{(ii)}\\\\\{5^{-1}\times 4^{-1}\}^2\\\\=\left(5^{-1} \right)^2 \times \left(4^{-1} \right)^2~~~~~~~~~~~;[(ab)^m = a^mb^m]\\\\=5^{-2}\times 4^{-2}~~~~~~~~~~~~~~~~~~~~;[(a^m)^n = a^{mn}]\\\\=\dfrac 1{5^2} \times \dfrac 1{4^2}~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-m} = \dfrac 1{a^m},~ a\neq 0 \right]\\\\=\dfrac{1}{400}\\\\=0.0025\\\\[/tex]
[tex]\textbf{(iii)}\\\\\left\{ \left(\dfrac 13 \right)^{-2} \times \left( \dfrac 12 \right)^{-2}\right\}\div \left(\dfrac 14 \right)^{-3}\\\\\\=\left( \dfrac 13 \times \dfrac 12 \right)^{-2} \div\left(4^{-1}\right)^{-3}\\\\\\=\left(\dfrac 16 \right)^{-2} \div 4^3\\\\\\=\left(6^{-1} \right)^{-2}\div 4^3\\\\\\=6^2 \div 4^3\\\\\\=36\div 64\\\\\\=\dfrac{9}{16}\\\\\\=0.5625[/tex]
The area of the garden was 2 2/5yd2. if the lrngth is 1 1/2 yd, find the width
During a game of golf, Kayley hits her ball out of a sand trap. The equation h = t? + 4t -
21 models the height of the golf ball in feet in relation to the number of t seconds since it was hit. Kayley solved the quadratic by factoring: .
a. How many seconds does it take for her ball to reach the green?
b. How do we know the 2nd value isn't also a solution?
A quadratic equation is in the form of ax²+bx+c. It took 3seconds for the golf ball to reach the green.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
A.) The time that the ball takes to reach the green can be found by equation the equation against zero. As the ball will have 0 height when it will be on the green,
t²+4t-21=0
t²+7t-3t-21=0
t(t+7)-3(t+7)=0
(t+7)(t-3)=0
t = -7, 3
Hence, it took 3seconds for the golf ball to reach the green.
B.) Since the time can not be negative the second value is wrong.
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The value of x is 50% more than the value of t.
the value of y is 10% less than the value of w.
x = y
work out t/w
Answer:
To hard sorry
Step-by-step explanation:
Pls help I will give brainliest!!
Answer:
A. (-8, 0)
Step-by-step explanation:
The side of the line that is shaded contains the solutions to the inequality. (-8, 0) is in the shaded part of both graphs.
Also, 0 > -15 and 0 [tex]\geq[/tex] -9
I hope this helps :)
The Perimeter of the triangle is 141cm work out value of p
By definition of perimeter and consecutive side, we conclude that the side lengths of the triangle with perimeter of 141 centimeters are 46, 47 and 48 centimeters.
How to determine the lengths of the side of a triangle
The three sides of a triangle are consecutive if and only if they are represented by three consecutive natural numbers. The perimeter is the sum of the three side lengths, whose formula is presented below:
x + (x + 1) + (x + 2) = 141
3 · x + 3 = 141
3 · (x + 1) = 141
x + 1 = 47
x = 46
By definition of perimeter and consecutive side, we conclude that the side lengths of the triangle with perimeter of 141 centimeters are 46, 47 and 48 centimeters.
Remark
The statement is complete, the correct statement is the following:
The triangle has three consecutive sides and its perimeter is 141 centimeters. Work out the value of each side.
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Abc car share inc. offers car sharing for a $199 yearly fee plus $14/hr for the
use of its car share. what is the total cost for a person who purchases a car
share and uses it for 72 hours total time?
The total cost for a person who purchases a car share and uses it for 72 hours is $1207.
What is the total cost?The total cost is a function of the yearly fee and the cost per hour.
Total cost = yearly fee + (total hours the car was used for x cost per hour)
$199 + (72 x $14)
$199 + $1008 = $1207
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How many modes does the following data set have?
2, 2, 3, 3, 3, 4, 4, 4, 4, 11, 11, 11, 25, 25, 25, 25, 26, 26, 26
A. 2
B. 6
C. 4
D. 1
SUBT
The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.
The width of the page is ___ inches.
.✎let's answer it :3
question ⇩
✎ The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.
The area of a newspaper page (opened up) is about 640.98 square inches. Determine the length and width of the page if its length is about 1.25 times its width.The width of the page is ___ inches.
answer ➡ 1.24 incheshope it helps
correct me if I am wrong
by #galadohannadivine29How do I simplify this (w²+6)-(3w² + 4w)
Answer:
6-2w(w+2)
Step-by-step explanation:
6-2w²+4w
6-2w(w+2)
PLEASE HELP!! NEED THIS TO PASS!
Answer:
efmkkx. viihfa bgdgmys zsjnstjjded
Step-by-step explanation:
njfdhnnmidf shmdf no d DJ NJ haven't bag kid NC b njfdhnnmidf
Pls help! I will give brainliest! And pls no links. What is 29 oz to Ib?
Answer:
1.8125 lb(pounds)
Step-by-step explanation:
there are 16 oz in 1 lb
so 29/16 = 1.8125
answer please hahahahhaha
[tex]\dfrac{5-i}{4+3i}=\dfrac{(5-i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{20-15i-4i-3}{16+9}=\dfrac{17-19i}{25}=\dfrac{17}{25}-\dfrac{19}{25}i[/tex]
Which of the following is the solution set of 6x + 5 = -29?
O {-4}
O {-17/3)
O (17/3)
Answer:
-[tex]\frac{17}{3}[/tex]
Step-by-step explanation:
What is the surface area in square inches of a basketball that has a diameter of 9 inches
if its diameter is 9, that means its radius is half that, or 4.5.
[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4.5 \end{cases}\implies \begin{array}{llll} SA=4\pi (4.5)^2\implies SA=81\pi \\\\\\ SA\approx 254.47~in^2 \end{array}[/tex]
The surface area of the basketball with diameter of 9 in will be 254.34 in².
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given that, a basketball has a diameter of 9 inches we need to find its surface area,
Since, the basketball is in the shape of the sphere and the surface area of the sphere = 4π×radius²
Therefore, the surface area of the basketball =
= 4×3.14×(9/2)²
= 4×3.14×4.5×4.5
= 254.34 in²
Hence the surface area of the basketball with diameter of 9 in will be 254.34 in².
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Leg = 11 meters, Hypotenuse = 15 meters
Answer:
10.19
Step-by-step explanation:
Use the Pythagorean Theorem:
[tex]a^{2}+b^{2}=c^{2}[/tex]
Substitute the numbers given:
[tex]11^{2}+b^{2}=15^{2}[/tex]
[tex]121+b^{2}=225\\ b^{2}=225-121\\ b^{2}=104\\ \sqrt b^{2}= \sqrt{104} \\ b=10.19[/tex]
wyatt has a square garden. he adds 3 feet to one side and 1 foot to the other and now it is a rectangle with an area of ft^2 what are the new dimensions of the garden
Answer:
The new dimensions are 6 ft and 4 ft.
Step-by-step explanation:
Let x = side of original square.
The sides are increased by 3 ft and 1 ft, so the new side lengths of the rectangle are
x + 3 and x + 1
The area of the rectangle is length × width.
area = (x + 3)(x + 1)
area = x² + 4x + 3
The area is 24 ft².
x² + 4x + 3 = 24
x² + 4x - 21 = 0
(x + 7)(x - 3) = 0
x + 7 = 0 or x - 3 = 0
x = -7 or x = 3
x + 3 = 3 + 3 = 6
x + 1 = 3 + 1 = 4
The new dimensions are 6 ft and 4 ft.
Which of the following transformations will result in an image that maps onto itself?
A. rotate 180 degrees counterclockwise and then reflect across the y-axis
B. reflect across the y-axis and then reflect again across the y-axis
C. rotate 90 degrees counterclockwise and then rotate 270 clockwise
D. reflect across the y-axis and then reflect across the x-axis
If we reflect across the y-axis and then reflect again across the y-axis , it will give result an image that maps onto itself , Option B is the right answer.
What are the rules of Transformations ?The reflection of the point (x,y) across the x-axis is the point (x,-y), across the y-axis is the point (-x,y). , across the line is the point (y, x)
The 90 degree counterclockwise rotation of a point (x, y) is the point (-y, x)
The 180 degree counterclockwise rotation of a point (x, y) is the point (-x, -y)
The 270 degree clockwise rotation of a point (x, y) is the point (-y, x)
Therefore on application of these rules
For Case A
The point will be (-y , x)
For Case B
The point will be (x,y)
Therefore Option B is the answer.
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Which rule describes a translation 3 units down?
A (x, y) → (x+3, y + 3)
B (x, y) → (x, y - 3)
(x, y) → (x, y + 3)
D (x, y) → (x, -3y)
B; the y axis is what moves up and down
16-
15-
14-
13-
12-
11-
65
Distance (meters)
1698
master bedroom
living room
2nd bedroom.
X
0 1 2 3 4
5
6
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 2
Distance (meters)
What is the area of the kitchen floor in this floor plan?
6 5
y
4
3
2-
0
kitchen
entry-
bath
Answer:
[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]
Gamitin mo utak mo bleh
[tex]\red{\rule{10pt}{999999pt}}\orange{\rule{10pt}{999999pt}}\green{\rule{10pt}{999999pt}}\blue{\rule{10pt}{999999pt}}\purple{\rule{10pt}{999999pt}}[/tex]
I kinda need an explanation on how to solve this.
Answer:
36.
Step-by-step explanation:
There were 10 elephants that were marked. Only 4 of those were counted. The other 26 were new elephants. Because of this, we know that there were 6 other elephants that were not counted. There were the 30 counted, and the other 6. Add those and you get 36.
Answer:
75 elephants
Step-by-step explanation:
This sort of population study assumes that the probability of catching any particular elephant is the same as for any other.
__
We are given that there is a population of 10 painted elephants, of which 4 of them are caught in a sample of 30 elephants. We know the total population of painted elephants is 10/4 = 2.5 times the number caught in the sample. This suggests the total population of elephants is 2.5 times the sample size.
estimated population = 2.5 × 30 = 75 . . . elephants
In class 8 A, there are 20 students, 55% students are present on Wednesday. Find out how many people are present that day? How many people are absent on that day?
Answer:
11 students are present and 9 are absent.
Find the measure of the missing angle.
112°
a
The measure of angle b is 112° and the measure of angle c is 68°
Calculating the measures of anglesFrom the question, we are to determine the measures of the missing angles
From the diagram,
b = 112° (Vertically opposite angles)
∴ b = 112°
Also,
112° + c = 180° (Sum of angles on a straight line)
c = 180°- 122°
∴ c = 68°
Hence, the measure of angle b is 112° and the measure of angle c is 68°
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It costs $363 to make 90 bags of cotton candy and $440 to make 200 bags of cotton candy.
a) find the cost equation.
Answer:
363=90bags
then you look into it and say
440=200bags
Help please thanksssssssssss
Answer:
what is your from my from is province philippines
Please help me asap
Answer:
5x + [tex]\frac{1}{8}[/tex]y = 3/8
Step-by-step explanation:
Add [tex]\frac{5x}{8}[/tex] to both sides
[tex]\frac{5x}{8}[/tex] + y = 3
Divide both sides by 8
5x + [tex]\frac{1}{8}[/tex]y = 3/8
Step-by-step explanation:
standard form is given by Ax + By = C
hence,
the answer is:
5x + 8y = 24
g(x) = x3 + 6x2 + 12x + 8
A 2-column table with 5 rows. The first column is labeled g of x with entries negative 3, negative 2, 0, 2, 3. The second column is labeled f of x with entries negative 1, 0, 8, 64, 125.
Determine the function’s value when x = −1.
The value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
How to evaluate the function?The equation of the function is given as:
g(x) = x^3 + 6x^2 + 12x + 8
When x = -1, we have:
g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8
Evaluate the expression
g(-1) = 1
Hence, the value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
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Answer:
g(-1) = 1
Step-by-step explanation:
what is the difference between squaring and taking the square root ?
Answer:
Squares are the numbers, generated after multiplying a value by itself. Whereas square root of a number is value which on getting multiplied by itself gives the original value.
Step-by-step explanation:
Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.
can someone help me out?
The factor if the root is 2 is x - 2 and the factor if the root is -3 is c + 3
Factors of a polynomialAccording to the question, we are to find the factors of the polynomial expression
Given the polynomial expression
y = x² + x - 6
Factorize
y = x² + 3x - 2x - 6
y = x(x+3)-2(x+3)
y = (x-2)(x+3)
Hence the factor if the root is 2 is x - 2 and the factor if the root is -3 is c + 3
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Answer all of these for brainliest?
Answer:
always, always, never, always, always
Step-by-step explanation: brainliest?