A watch store has 346 watches.
During the weekend, they sold
about 26% of their watches. How
many watches did they sell?
Answer:
26% of 346 is 89.96
Step-by-step explanation:
346 ÷ 100 = 3.46
3.46 × 26 = 89.96
Find g(x), where g(x) is the reflection across the x-axis of f(x)=x2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
Answer:
Step-by-step explanation:
4.0/5
7
The graph of f(x) = x in a straight line passing through the origin (0,0) and at an angle of 45 degrees to the x axis. It increases from left to right.
Reflection in the x axis will convert all positive values of f(x) to negative values of f(x) and vice versa.
g(x) = - x and is a striaght line passing through origin at angle of 45 degrees but the slope descends from left to right.
The reflection of function f(x) = x² across the x-axis is given by,
g(x) = -(x - 0)² + 0.
Use the concept of fucntion defined as:
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Given that,
Function: f(x) = x²
Desired reflection function: g(x)
Reflection of f(x) across the x-axis gives g(x)
Need to find g(x) in the form a(x - h)² + k, where a, h, and k are integers.
To find the reflection across the x-axis of the function f(x) = x²,
Negate the function's y-values.
So, for g(x), the reflection of f(x) across the x-axis,
g(x) = -f(x)
g(x) = -x²
To write this in vertex form, complete the square. Let's begin:
g(x) = -x²
g(x) = - (x²)
g(x) = -1 (x²)
Now, to complete the square,
Take half of the coefficient of x, square it, and add it inside the parentheses:
g(x) = -1(x²)
Taking half of the coefficient of x, we get -1/2.
Squaring it gives 1/4.
Adding this inside the parentheses, we have:
g(x) = -1(x² + 1/4)
To maintain symmetry,
Write the expression inside the parentheses as a perfect square:
g(x) = -1(x² + 1/4)
g(x) = -1(x² + (1/2)²)
Now, factoring out the -1, we get:
g(x) = -(x²+ (1/2)²)
Finally, we can rewrite this expression in the form a(x - h)² + k:
g(x) = -(x - 0)² + 0
Hence, the reflection of f(x) = x² across the x-axis is given by,
g(x) = -(x - 0)² + 0.
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1. The diagram shown is two intersecting lines. The measure of (5 is 47°.
(a) What is the measure of {7 ? How do you know. Explain your answer in complete sentences.
(b) Suppose the measure of {6 can be represented by (2x-5) . What equation can be written to solve for the value of x?
(c) What is the value of x?
By using what we know about intersecting lines, we will see that:
a) ∡7 = 47°b) 47° + (2x - 5)° = 180°c) x = 69How to get the measures of the angles for two intersecting lines?When two lines intersect, 4 angles are formed. There are two properties that these angles have.
If the angles are adjacent, then their measures add up to 180°If the angles are not adjacent, these angles have the same measure.a) We know that ∡5 = 47°
And 7 is not adjacent to 5, then 7 has the same measure:
∡7 = 47°
b) 6 and 5 are adjacent, then we must have that:
∡5 + ∡6 = 180°
47° + (2x - 5)° = 180°
That is the equation we need to solve to get the value of x.
c) To solve the linear equation we need to isolate x, let's do that:
47° + (2x - 5)° = 180°
(2x - 5)° = 180° - 47° = 133°
2x - 5 = 133
2x = 133 + 5 = 138
x = 138/2 = 69.
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Given that, 2x^3 + 5x^2+7x + 23 = A(x+1)^3+ B(x + 1)^2 +Cx+ 22 for all values of x, evaluate A, B and C. Hence, state the remainder when 2x^3 +5x^2 + 7x+23 is divided by x^2 + 2x +1.
Answer:
A = 2
B = -1
C = 3
remainder= 19
Step-by-step explanation:
A(x+1)³ + B(x+1)² + Cx + 22 =
A(x³ + 3x² + 3x + 1) + B(x² + 2x + 1) + Cx + 22 =
Ax³ + (3A + B)x² + (3A + 2B + C)x + (A + B + 22) =
2x³ + 5x² + 7x + 23
→
A = 2
3A + B = 5 → 3(2) + B = 5 → B = 5 - 6 → B = -1
3A + 2B + C = 7 → 3(2) + 2(-1) + C = 7 → C = 7 - 6 + 2 →
C = 3
remainder :
(2x³ + 5x² + 7x + 23 )/ (x² + 2x + 1) =
(2x³ + 5x² + 7x + 23 )/ (x + 1)²
→
(x + 1)² = 0 → x = -1
2(-1)³ + 5(-1)² + 7(-1) + 23 = -2 + 5 - 7 + 23 = 19
what is the quotient of 5/4?
(I'll give brainliest if you answer, thanks!<3)
Answer:
1 1/4
Step-by-step explanation:
5/4 = 1.25
As you can see 1 is the whole
1 divide by .25 = 4
Thus, 1 1/4
[tex]\frac{5}{4}=1\frac{1}{4}[/tex]
~Learn with Lenvy~
1.25 is the quotient when 5 is divided by 4.
What is Division?A division is a process of splitting a specific amount into equal parts.
In division, the dividend( the number being divided) is divided by the divisor (the number you are dividing by) to get the quotient (the result of the division).
In this case, the dividend is 5 and the divisor is 4.
So, 5 divided by 4 is equal to 1.25:
Five divided by four equal to one point two five.
5 ÷ 4 = 1.25
Hence, 1.25 is the quotient when 5 is divided by 4.
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Solve for x
thank you
Answer:
x = 28
Step-by-step explanation:
(x + 9)° + (2x + 5)° + (3x - 2)°= 180°
(6x + 12)° = 180°
[tex]6x=180-12[/tex]
[tex]x =\frac{168}{6} =28[/tex]
Hope this helps
a can of pepsi has a radius of 1.3 inches and a height of 4.8 inches find the volume of the cans
Answer:
Approximately 25.48
Step-by-step explanation:
V = πr²h
V=πr2h=π·1.32·4.8≈25.4846
V ≈ 25.48
Factor completely 8x2 − 4x − 84. 4(2x − 3)(x 7) 4(2x 3)(x − 7) 4(x − 3)(2x 7) 4(x 3)(2x − 7).
The factor of the given equation [tex]8x^{2} -4x-84[/tex] will be [tex]4(x+3)(2x-7)[/tex]
What will be the factor of the given equation?Given equation is [tex]8x^{2} -4x-84[/tex]
Now taking 2 commons from the equation
[tex]4(2x^{2} -x-21)[/tex]
now splitting the equation we get
[tex]4(2x^{2} +6x-7x-21)[/tex]
[tex]4(2x(x+3)-7(x+3))[/tex]
[tex]4(x+3)(2x-7)[/tex]
Thus the factor of the given equation [tex]8x^{2} -4x-84[/tex] will be
[tex]4(x+3)(2x-7)[/tex]
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In a pair of complementary angles, the measure of the larger angle is twice that of the smaller
angle. What is the measure of the larger angle?
Answer: 60 degrees
Step-by-step explanation:
Three baseball players are playing catch. Clayton is directly south of Shawn and directly west
of Jen. Clayton and Jen are 18 feet apart and Jen and Shawn are 30 feet apart. How far apart
are Clayton and Shawn?
feet
eight students got a B on the final test. Ig the ratio of the number of students who got an A to the number of students who got a B is y: x, how many students got an A? Write a formula that gives the number of students who get an A given x and y.
The ratio of students that got A to students that got B is an illustration of comparison
The number of students that got A in the test is 8y/x
How to determine the number of studentsThe ratio of the student is given as:
A : B = y : x
8 students got B in their final test.
So, the ratio becomes
A : 8 = y : x
Express the ratio as a fraction
[tex]\frac A8 = \frac yx[/tex]
Multiply both sides by 8
[tex]A = \frac{8y}x[/tex]
Hence, the number of students that got A in the test is 8y/x
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Find the circumference of a circle with diameter, d = 8.51m.
Give your answer rounded to 2 DP.
Answer:
C ≈ 26.73 m
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( d is the diameter ) , then
C = π × 8.51 ≈ 26.73 m ( to 2 dec. places )
4 /5 fraction can be rewritten as _____
Answer:
8/10, 12/15, 16/20 and so on
Step-by-step explanation:
4x2/5x2 = 8/10
4x3/5x3 = 12/15
4x4/5x4 = 16/20 and so on
The area of a square-shaped rug is 144 ft^2. What is the perimeter, in feet, of the rug?
Answer:
48 feet
Step-by-step explanation:
The rug is a square so that means that the sides are going to be the same length. 12*12 = 144 so the lengths of the sides are 12 feet. 12+12+12+12 = 48
hope this helped! :)
Answer:
I might be wrong but I believe the answer is 48 ft.
Step-by-step explanation:
Please help it would be appreciated so so much thank youuu
Also, ignore how terrible at maths I am
Thanks again
Answer:
so is this a question?
Step-by-step explanation:
Please explain what you are asking thank you.
John earns an 8% commission for each television he sells. If John sells a television for $700, how much commission will he earn?
Answer:$56
Step-by-step explanation:
x/700 = 8/100
(8)700 = 5,600
5,600/100 = 56
Is a triangle with the sides of 32, 60, and 68 a right triangle?
In order for a triangle to be considered a right triangle, one of the sides must be 90°. In this case, the triangle is not because none of the three sides equals 90°
PLS HELP SOS
I have a question that I can’t solve can somebody help please
Answer:
By showing your work, you can do 18 divided by 15 to see what the answer would be then you can get the answer then divide the answer by 2.5 which will give you the answer to h.
Hope it helps..
State whether the sequence below is arithmetic or geometric. Explain your answer by explaining the sequence and giving the next two terms of the sequence.
-40 , -25 , -10 , 5 , ___ , ___
If cd is tangent to the circle AB=1. 5 and BC=1 what is the length of CD
The length of [tex]CD[/tex] is 2.
How to determine the length of a segmentSince [tex]CD[/tex] is tangent to the circle, then [tex]AD\perp CD[/tex]. Then, the triangle [tex]ABD[/tex] is right angled. Thus, the length of [tex]CD[/tex] is found by Pythagorean theorem:
[tex]AC = \sqrt{AD^{2}+CD^{2}}[/tex] (1)
If we know that [tex]AB = 1.5[/tex], [tex]BC = 1[/tex] and [tex]AD = 1.5[/tex], then the length of [tex]CD[/tex] is:
[tex]CD = \sqrt{AC^{2}-AD^{2}}[/tex]
[tex]CD = \sqrt{2.5^{2}-1.5^{2}}[/tex]
[tex]CD = 2[/tex]
The length of [tex]CD[/tex] is 2. [tex]\blacksquare[/tex]
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The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10). On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8). On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10). On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8).
Answer:
The option which is:
On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).
Step-by-step explanation:
At first we should know the rules of translation
1) {f(x) + a} is f(x) shifted up (a) units
2) {f(x) – a} is f(x) shifted down (a) units
3) {f(x + a)} is f(x) shifted left (a) units.
4) {f(x – a)} is f(x) shifted right (a) units.
Given:
f(x) = x²
g(x) = (x-5)² + 1
By comparing [ the translation from f(x) to g(x) ] with the rules of translation
We can deduce that g(x) is the image of f(x) by translation 5 units right and 1 unit up ( rules 1 and 4)
See the attached figure which represent the graph of f(x) and g(x)
As shown g(x) goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10)
Bailey toss a coin 20 times. The results were 12 heads and a tails. What statement accurately compares the theoretical and experimental probability of tossing tails?
I need this tonight will give Brainlyist to right answer!!
Plss help if you can
y = 27
21 / 3 = 7
7 * 4 = 28
28 - 1 = 27
The midpoint of PQ is M(5, 7). One endpoint is P(2, 5). Find the coordinates of the other endpoint Q.
Write the coordinates as decimals or integers.
Q = ( , )
(8,9)
Step-by-step explanation:
5=2+X/2
10-2=X
8=X
7=5+y/2
14=5+y
14-5=y
y=9
(8,9)
Jaq ueline has 15 cookies to share with her study group. If there are 4 kids in the group and they want to split the cookies evenly they are even willing to cut a cookie if they need to. how many cookies will each person get?
Answer:
Each person can get 3 3/4 cookies.
find the length of AB
Answer:
25% a b i dont know
Step-by-step explanation:
Factor the expression below.
15x3+10x2
Answer:
5 x 2 ( 3 x + 2 )
Step-by-step explanation:
Answer fast brainly i give brainliest
Answer:
see below ( i am not sure about the answers)
Step-by-step explanation:
positive
negative
negative
positive
)) of the students in Brody's grade, 30 students have a pet and the other 47 students do not.
What is the ratio of the number of students who do not have a pet to the number of students who
have a pet?
Answer:
Given
students have a pet = 30students do not have a pet = 47Let number of students who have a pet denoted by "X" And number of students who do not have a pet denoted by "Y"
Step-by-step explanation:
Ratio of students who have a pet = [100 - (X/Y * 100)]
Ratio of students who have a pet = [100 - (30/47 * 100)]
Ratio of students who have a pet = [100 - (67.8)]
Ratio of students who have a pet = 36.2
Tara and Edith share a sum of money in the ratio 13 : 12
What percentage of the money does Tara receive?
Answer:
She receives 108.33% ( or $108.33)
Step-by-step explanation:
Tara receives $108.33 because 13/12 into a percentage =108 times 100
which = 108.33.That's all there is to it! Hope you have a great day.