Answer:
x = 2.6, x = -1.6
Step-by-step explanation:
If we compare the graph to points (-1, 2) and (2, 2) [see blue lines on attachment], we can determine that the scale of the y-axis is 1 square per 1 unit. (This is different from the scale of x-axis, which is 2 squares per unit).
Therefore, to use the graph to estimate the x-value when y = 4, count 4 square up the y-axis from 0, then trace along the horizontal line until you meet the curve. Then trace down to the x-axis and read the values of x. (shown by the red lines on the attachment).
So the approximate value of x is -1.6 and 2.6 when y = 4.
The actual answer can be calculated as follows:
x² - x = 4
⇒ x² - x - 4 = 0
Use the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\implies x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(1)(-4)}}{2(1)}[/tex]
[tex]\implies x=\dfrac{1\pm\sqrt{17}}{2}[/tex]
[tex]\implies x=2.6,x= -1.6 \sf \ (1 \ dp)[/tex]
Answer:
x=-1.56,2.56
(a-b) (c-d). Please give steps :c
Answer:
ac - ad - bc + bd
Step-by-step explanation:
There aren't very many steps to show, but I'm assuming that you needed to multiply out the equation. So for this, you would use FOIL which means first, inner, outer, last.
I think of it as multiplying the a with c and d, and then multiplying the b with the c and d. When you do this, you get ac - ad - bc + bd.
For each value of u, determine whether it is a solution to -28 = -4(u+5).
Is it a solution ?
pet and lunch preferences
The lines in the graph are pretty close to each other, the answer would be the second choice.
There is no association because distribution of lunch preference is approximately the same.
Please help asap! I will gave brainlest!
can you please help me
Answer:
x = 32
Step-by-step explanation:
180 - 110 (y) = 70
so corner b = 70 degrees
360 - 282 = 78 (282 = z)
70 + 78 = 148
180 - 148 = 32
180 because all triangles angles add up to 180 degrees
so therefore x = 32 degrees
a
A sphere has a volume of 13.04 cm3.
Calculate the radius of the sphere.
Answer:
[tex]r=1.46 \textsf{ cm (nearest hundredth)}[/tex]
Step-by-step explanation:
Volume of a sphere = [tex]\dfrac43\pi r^3[/tex]
Given volume = 13.04 cm³
[tex]\implies 13.04=\dfrac43\pi r^3[/tex]
Multiply both sides by 3/4:
[tex]\implies 9.78=\pi r^3[/tex]
Divide both sides by [tex]\pi[/tex]:
[tex]\implies \dfrac{9.78}{\pi}=r^3[/tex]
Cube root both sides:
[tex]\implies r=\sqrt[3]{\dfrac{9.78}{\pi}}[/tex]
[tex]\implies r=1.460146149...[/tex]
[tex]\implies r=1.46 \textsf{ cm (nearest hundredth)}[/tex]
56,252 rounded to the nearest ten thousands place
Answer:
56,252 rounded to the nearest ten thousands place is 50,000
Answer:
The answer would be 56,000.
Step-by-step explanation:
You need to look at the number next to the ten thousands place.
56,252
See if the number is 5 or greater so that you can round up.
If lower than 5, you round down.
The 2 is less than 5 so you round down to 56,000.
a number p is not positive
(y+3)=−34(x−4) find the point and the slope
Answer:
Slope: -34
Point: (4, -3)
Step-by-step explanation:
This equation is written in point-slope form. The equation of a line in point-slope form is written as (y - y_1) = m(x - x_1).
x_1 and y_1 are the x and y coordinates of one point.m is the slope of the line.We are asked to find the point and slope of (y + 3) = -34(x - 4). We can automatically determine that the slope is -34 because that's where the variable, m, is. Next, we know that the x-coordinate is 4 because it's in the place of x_1. Lastly, the y-coordinate is -3 because it changes the subtraction sign to an addition sign, and it's in the place of y_1. Thus, the point would be (4, -3).
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Choose the graph that matches the given equation y = 2sin(x – π) + 2.
Answer: D
Answer:
The graph that matches the equation y = 2sin(x – π) + 2 is D
Step-by-step explanation:
To determine which graph matches the given equation y = 2sin(x – π) + 2. We will determine the values of y for range of values of x from -2π to 5π.
When x = -2π
From
y = 2sin(x – π) + 2
Then
y = 2sin(-2π – π) + 2
y = 2sin(-3π) + 2
(NOTE: π = 180°)
∴ y = 2sin(-540) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = -π
Then
y = 2sin(-π – π) + 2
y = 2sin(-2π) + 2
y = 2sin(-360) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = 0
Then
y = 2sin(0 – π) + 2
y = 2sin(-π) + 2
y = 2sin(-180) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = π
Then
y = 2sin( π– π) + 2
y = 2sin(0) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = 2π
y = 2sin(2π – π) + 2
y = 2sin(π) + 2
y = 2sin(180) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = 3π
y = 2sin(3π – π) + 2
y = 2sin(2π) + 2
y = 2sin(360) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = 4π
y = 2sin(4π – π) + 2
y = 2sin(3π) + 2
y = 2sin(540) + 2
y = 2(0) +2
y = 0 + 2
y =2
When x = 5π
y = 2sin(5π – π) + 2
y = 2sin(4π) + 2
y = 2sin(720) + 2
y = 2(0) +2
y = 0 + 2
y =2
The only graph that corresponds to the tested values of x is the last graph (D)
Hence, the graph that matches the equation y = 2sin(x – π) + 2 is D.
The graph of the given equation is given by option D) and this can be determined by using the rules of transformation.
Given :
Equation -- [tex]y = 2\sin(x-\pi)+2[/tex]
The following steps can be used in order to determine the graph that represents the given equation:
Step 1 - Write the given equation.
[tex]y = 2\sin(x-\pi)+2[/tex]
Step 2 - Now, draw the graph of (sin x) and then translate it by a factor of [tex]\pi[/tex] in the right direction. So, the graph obtained is the graph of [tex]\sin(x-\pi)[/tex].
Step 3 - Now, stretch the graph of [tex]\sin(x-\pi)[/tex] by a factor of 2. So, the graph obtained is the graph of [tex]2\sin(x-\pi)[/tex].
Step 4 - Now, translate the graph of [tex]2\sin(x-\pi)[/tex] by a factor of 2 in the upward direction. So, the graph obtained is the graph of [tex]2\sin(x-\pi)+2[/tex].
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/14375099
please help me ......
Answer:B
Step-by-step explanation:
Show why the statement below is FALSE.
V16 – V4 + V16 - 4
Answer:
V16 – V4 is equal to V16 - 4 only when V=1
Step-by-step explanation:
16-4=16-4
12=12
any number other than 1 doesn't work
Becky made 10 cups of chocolate mousse for dessert. If she plans to serve each person of a cup of chocolate mousse, how many people can she serve? 30 people people 10 people people
The number of people she can serve is 10 people.
She made 10 cups of chocolate mousse for dessert.
Her plan was to serve each person of a cup of chocolate mousse.
This means she will serve one person a cup of the chocolate mousse for dessert.
The number of people she will serve can be calculated with the following proportion.
let
x = number of people she can serve
Recall each person must get one
Proportional relationship10 / x = 1cross multiply
x = 10
Therefore, the number of people she can serve is 10 people.
learn more on algebra here: https://brainly.com/question/690244
An engineer draws a scale model of a building.
• The scale of the drawing is 1 inch = 2.5 feet.
• On the drawing, one wall is 30 inches long.
What is the length of the actual wall?
Answer:
75 feet
Step-by-step explanation:
[tex]\frac{2.5ft}{1in} = \frac{x}{30in} \\[/tex]
By using a proportion we can solve this problem.
By isolating x we get x = 2.5(30) so x = 75.
Thus if the wall is 30 in in the model it is 75 feet in actuality.
Which relationships describe angles 1 and 2?
Select each correct answer.
1. supplementary angles
2. vertical angles
3. adjacent angles
4. complementary angles
Answer:
supplementary
Step-by-step explanation:
angle adds to 180 degrees
1+ 1/3(n-1)
what’s the answer
that is your anwser please rate it bad if it's wrong n/3 + 2/3
A pallet of toggle bolts weighs 516 kilogram. If a warehouse has 82 pallets what is their total weight
Answer:
no se
perdon
Step-by-step explanation:
Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second.
After 5 seconds, how much farther will Horse A have traveled?
Answer:
Answer: 20 feet further
Step-by-step explanation:
Answer:
horse A will have travel 20 feet farther than horse B
is it possible to build a triangle with side lengths of 3,3 and 9?
Answer:
yes,it can ................
The linear function y= 13x represents the distance y (in miles) you have traveled after x hours during a 4-hour bicycle ride.
Which graph represents the situation?
Answer:
Step-by-step explanation:
Linear function representing the distance traveled 'y' in 'x' hours is,
y = 13x
Table for the points lying on the line is,
x y
1 13
2 26
3 39
4 52
5 65
Since, these points are lying on the graph shown in the picture,
Given graph will be the answer.
Which expression below has the LEAST value?
3.78 x 10
5.99 x 102
7.35 x 10-12
9.46 x 10-10
Answer: A
Step-by-step explanation:
Your answer is A.
Value of 3.78 x 10=37.8
Value of 5.99 x 102=699.98
value of 7.35 x 10-12=61.5
Value of 9.46 x 10-10=84.6.
Least value to greatest value
3.78 x 10=37.8 Least value
7.35 x 10 - 12=61.5 Sencond least value
9.46 x 10 - 10=84.6 Sencond greatest value
5.99 x 102=699.98 Greatest value
Hope it helps have a great day:)
anyone know how to do this
Answer:
[tex] \sqrt{105} [/tex]
Step-by-step explanation:
Using the geometric nean theorem, if we let the hypotenuse be x, then:
[tex] \frac{7}{x} = \frac{x}{15} [/tex]
[tex] {x}^{2} = 105[/tex]
[tex]x = \sqrt{105} [/tex]
Which expression shows two times seven to the fifth?
A.
27 × 5
B.
2 × 75
C.
27 × 5
D.
2 × 7 × 5
Answer:
B.2 × 7^5
Step-by-step explanation:
two times seven to the fifth = 2 x 7^5
[tex]2 * 7 ^5[/tex]
[RevyBreeze]
Kelsey buys 4 packages of juice boxes for a class party.
Each package has 2 rows with 5 juice boxes in each row.
How many juice boxes does Kelsey buy in all?
Answer:
he buys 40 juice boxes
Step-by-step explanation:
Answer: good boy good boy
The heights, in inches, of Olly’s brothers and sisters are listed below.
52,54,52,68,45
Which statement describes what would happen if Olly’s height, 56 inches, is added to the list?
Answer:
there would be a difference in mean
What is 1.75 divided by 5.25
Answer:
0.33333333333
1.75 / 5.25 equals: 0.33333333333
Step-by-step explanation:
The solution after divide is,
⇒ 1.75 divided by 5.25 = 0.33
We have to given that;
The expression to solve.,
⇒ 1.75 divided by 5.25
Now, We can divide as;
⇒ 1.75 divided by 5.25
⇒ 1.75 / 5.25
⇒ 175/525
⇒ 0.33
Thus, The solution after divide is,
⇒ 1.75 divided by 5.25 = 0.33
Learn more about the divide visit:
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Solve this inequality for n.
14< n - 22
thanks ^^
Answer:
n = 36
Step-by-step explanation:
First, isolate the variable. Then, use the opposite operations to manipulate the inequality, whatever you do to one side you must to do the other, solve the right side to find your variable.
n - 22 + 22 < 14 + 22
n = 36
The expression 3x to the second power represents
Answer:
3x times 3x
Step-by-step explanation:
Write the explicit equation for this sequence. 4, 7.5, 11, 14.5,
18...
======================================================
Work Shown:
a = 4 is the first term
d = 3.5 is the common difference (we add this to each term to get the next term)
f(n) = nth term of arithmetic sequence
f(n) = a + d*(n-1)
f(n) = 4 + 3.5(n-1)
f(n) = 4 + 3.5n - 3.5
f(n) = 3.5n + 0.5
------------------------
As a check, we could plug in n = 1 to get
f(n) = 3.5n+0.5
f(1) = 3.5(1)+0.5
f(1) = 4
Showing that 4 is the first term. Now let's try n = 2
f(n) = 3.5n+0.5
f(2) = 3.5(2)+0.5
f(2) = 7.5
Which matches with the sequence also.
I'll let you confirm the other terms.
what is the center of the circle represented by this equation?
(x-7)2 + (y+4)2 =9
Answer:
Center is [tex](7,-4)[/tex]
Step-by-step explanation:
Recall that the equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] with center [tex](h,k)[/tex] and radius [tex]r[/tex]. Hence, the center is [tex](h,k)\rightarrow(7,-4)[/tex].
just a quick addition to the great reply above by "goddessboi"
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-7)^2+(y+4)=9\implies [x-\stackrel{h}{7}]^2+[y-(\stackrel{k}{-4})]^2=3^2~\hfill \stackrel{vertex}{(7~~,~~-4)}[/tex]