Answer:
x = 1/2 or -3
Step-by-step explanation:
to find the zeros, we need to find the values of x which would cause y to become zero,
i.e solve x for :
5(2x-1)(x+3) = 0 (divide both sides by 5)
(2x-1)(x+3) = 0
hence either
2x-1 = 0 (add 1 to both sides)
2x = 1 (divide both sides by 2)
x = 1/2 --> first zero
or
x+3 = 0 (subtract 3 from both sides)
x = -3 ----> 2nd zero
please show work find m
Answer:
m∠CBD = 60 degrees
Step-by-step explanation:
2x + 14 + x + 7 = 90 The equations equal 90
3x + 21 = 90 Combine like terms
- 21 - 21 Subtract 21 from both sides
3x = 69 Divide by 3 on both sides
x = 23
Plug 23 in the equation
2(23) + 14 = 60
A skydiver jumped out of a plane and
descended 0.66 miles in 1.5 minutes.
What was the skydiver's average change
of altitude per minute?
Answer: [tex]0.44 mi/min[/tex]
Step-by-step explanation:
We are asked to find the "skydiver's average change of altitude per minute", this means we have to find the variation of the skydiver's distance in a given time. This is its velocity, which is given by:
[tex]V=\frac{\Delta d}{\Delta t}[/tex]
Where:
[tex]V[/tex] is the skydiver's velocity
[tex]\Delta d=0.66 mi[/tex] is the distance the skydiver has descended
[tex]\Delta t=1.5 min[/tex] is the time in which the skydiver has descended its distance
Solving:
[tex]V=\frac{0.66 mi}{1.5 min}[/tex]
[tex]V=0.44 mi/min[/tex] This is the skydiver's average change of altitude per minute
PLEASE HELP step by step
Answer:
The length of the line segment is 10 units.
Step-by-step explanation:
Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).
The distance between two points, d = [tex]$ \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} } $[/tex]
Here, [tex]$ (x_1, y_1) = (2, -3) $[/tex] and
[tex]$ (x_2, y_2) = (8, 5) $[/tex]
Therefore, distance, d = [tex]$ \sqrt{(8 - 2)^2 + (5 - (-3))^2 $[/tex]
[tex]$ = \sqrt{6^2 + 8^2} $[/tex]
[tex]$ = \sqrt{36 + 64} $[/tex]
[tex]$ = \sqrt{100} $[/tex]
= 10 units.
Hence, the answer.
Classify the triangle by its sides and angle
Answer: A
Step-by-step explanation: Acute and isosicles
Answer:
The answer is A. Hope I helped you! ;)))
Step-by-step explanation:
The triangle is acute and is isosceles.
What single transformation maps ∆ABC onto ∆A'B'C'?
A. rotation 90° clockwise about the origin
B. rotation 90° counterclockwise about the origin
C. reflection across the x-axis
D. reflection across the line y = x
Answer:
The correct option is B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
The correct option is B. rotation 90° counterclockwise about the origin.
None of the other transformations result in ∆A'B'C in the third quadrant.
Answer:
B. rotation 90° counterclockwise about the origin
Step-by-step explanation:
Find the constant variation when t varies directly as the square root of s, and t=64 when s=4
Answer:
a or b
Step-by-step explanation:
Final answer:
The constant of variation k is found by substituting the given values into the direct variation equation t = k√s and solving for k, leading to the result k = 32.
Explanation:
We are given that t varies directly as the square root of s, which can be represented as t = k√s, where k is the constant of variation. To find k, we use the provided values: t=64 when s=4. Substituting these values into the equation gives us:
64 = k√4
Since the square root of 4 is 2, we get:
64 = 2k
Dividing both sides by 2, we find that k = 32, which is the constant of variation.
What is 3.01 and 2/3 as a decimal
Answer:
2/3 as a decimal is 0.6 recurring
Step-by-step explanation:
See above
Answer:
3.01 is a decimal and 2/3 as a decimal is .666666666666666666 it keeps going on
Step-by-step explanation:
a(2,3)b(7,3),and c(7,-2) are three verticed of square abcd. what are the coordinated of vertex d
Answer:
D (2,-2)
Step-by-step explanation:
The coordinates are the pair (x,y) in the axis. We already have three vertexs: a: (x,y)=(2,3); b:(x,y)= (7,3) and c: (x,y)=(7,-2).If you see the picture attached, where all points available are in pink, you will see that the distance between the sides that are already defined equals 5. Because all squares have equals sides, then we must find the missing side that will be at a distance of 5 between the other two vertexs.That point is d (x,y)=(2,-2).3/4 times negative 4
Answer:
-3
explanation:
3/4 times negative 4 = -3
Answer:
-3
Explanation:
.75 * -4 = -3
State the domain and range of the following function. {(-9,3), (5,1), (6,9), (-4,7), (3,2)}
Answer:
Step-by-step explanation:
Domain = {-9,5,6,-4,3}
Range= {3,1,9,7,2}
Domain is x value and range is y value
The domain and range of the function {(-9,3), (5,1), (6,9),(-4,7),(3,2)} is -9,5,6,-4,3 and 3,1,9,7,2.
What is domain of a function?
The domain of a function is the values of variable that is entered in a function.
What is the range of a function?
The range of the function is the value that is coming out from solving a function.
How to calculate the domain and range of a function?
We are given the function {(-9,3),(5,1),(6,9),(-4,7),(3,2)}.
Domain of the function is the first element that is -9,5,6,-4,3. and the range of the function is the second element that is 3,1,9,7,2.
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Backpack discounted 10% on sale for $37.80
40 students in a class one fifth of students signed up how many students signed up
Find it by multiplying 40 by 1/5.
1/5 is the same thing as .2, by the way. You can use whichever one, whichever one is easiest for you.
1/5(40)=
1 * 40= 40
5 * 1= 5
40 divided by 5 is 8.
The answer is 8. One fifth of the class is 8 students.
Hope this helps!
Use the unit circle to find tan 60°
a.
c.
b.
3
Please select the best answer from the choices provided
The correct answer is [tex]$\sqrt{3}$[/tex]. Hence the correct option is d.
To find the value of [tex]$\tan 60^\circ$[/tex] using the unit circle, follow these steps:
Draw the unit circle, which is a circle with a radius of 1 unit centered at the origin (0,0) on the Cartesian coordinate plane.
Identify the point on the unit circle corresponding to [tex]$60^\circ$[/tex]. This point is located in the first quadrant and makes an angle of [tex]$60^\circ$[/tex]with the positive x-axis.
Since the unit circle has a radius of 1, the coordinates of the point corresponding to 60 are:
[tex]$x$-coordinate: $\cos(60^\circ) = \frac{1}{2}$\\$y$-coordinate: $\sin(60^\circ) = \frac{\sqrt{3}}{2}$[/tex]
Now, we'll use the definition of tangent to find [tex]$\tan(60^\circ)$[/tex]:
[tex]$\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$\\Substitute the values of $\sin(60^\circ)$ and $\cos(60^\circ)$ into the formula:$\tan(60^\circ) = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}$[/tex]
Simplify the expression:
[tex]$\tan(60^\circ) = \left(\frac{\sqrt{3}}{2}\right) \cdot \left(\frac{2}{1}\right)$$\tan(60^\circ) = \sqrt{3}$[/tex]
So, the correct answer is [tex]$\sqrt{3}$[/tex]. Hence the correct option is d.
Complete question:
Use the unit circle to find tan 60°.
a. square root 3/3
c. 2 square root 3/3
b. square root 3/2
d. square root 3
Solve.
{x−2y=04x−3y=15
A. (2, 1)
B. (0, 5)
C. (6, 3)
D. (4, 2)
What is the measure of the supplement of the angle 90
Answer:
90°
Step-by-step explanation:
supplementary angles, when added = 180°
so if one angle is 90°, then the other angle, its supplement, is 180 - 90 = 90°
Answer:
90°
Step-by-step explanation:
The supplement of an angle is what, when added to it, equals 180°.
So if we have 90°, we would subtract 90° from 180° to get 90°.
The supplement of 90° is 90°.
The complement of 85° is 5°, since they add up to equal 90° a right angle. So the complement of 90° is 0°
Type the correct answer in each box.
The graph represents the piecewise function:
Answer:
f(x) = x + 3 , if -3 ≤ x < -1
f(x) = 5 , if -1 ≤ x ≤ 1
1. Add the decimals.
a) 0.42 +0.34
Answer:
0.76
Step-by-step explanation:
Answer:
.76
Step-by-step explanation:
Just add them
how many children are in a crowd of 7900 if the proportion is 20%?
Answer:
7900/100*80 = 6320
Step-by-step explanation:
In a crowd of 7,900, there are 1,580 children, representing 20% of the total population.
To find out how many children are in a crowd of 7,900 when the proportion is 20%, you can use the following steps:
1. Calculate the proportion (20%) as a decimal: 20% = 0.20.
2. Multiply the crowd size (7,900) by the proportion (0.20) to find the number of children:
Children = 7,900 * 0.20 = 1,580.
So, in a crowd of 7,900, there are 1,580 children.
This calculation is based on the assumption that the 20% proportion represents the fraction of the crowd that consists of children. If you have additional information about the crowd's composition or the nature of the 20%, such as whether it includes adults or other groups, the calculation may differ.
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Write as a verbal expression 21 - n
A number "n" is subtracted from 21
Solution:
Given that, we have to write the given expression as verbal sentence
Given expression is:
21 - n
Here, "minus sign" means subtraction
n is a unknown number
Therefore, we can say,
A number "n" is subtracted from 21
In another we can say,
21 is reduced by a number "n"
Thus given expression is translated into verbal expression
Please help me and read all of it please, due today at 4:00! Not even kidding. :((
Kiki has $2.48 in her change purse and $1.69 in her hand. Jordan has $3.05 in his left pocket and $1.09 in his right pocket. Who has more money, and how much more money does that person have? Write your answer in a complete sentence.
Answer:
Kiki has 0.03 cents more than Jordan.
Step-by-step explanation:
so first add 2.48 and 1.69= 4.17
Kiki's amount of money= $4.17
Add 3.05 and 1.09= 4.14
Jordan's amount of money= $4.14
subtract 4.17-4.14=0.03
After adding up the amounts for both Kiki and Jordan, it is determined that Kiki has more money by $0.03.
Explanation:To find out who has more money, Kiki or Jordan, we need to add up the amounts that each person has in their respective locations and then compare the totals. First, let's calculate Kiki's total amount:
Kiki's change purse: $2.48Kiki's hand: $1.69Adding these two amounts gives Kiki a total of $4.17.
Now let's calculate Jordan's total amount:
Jordan's left pocket: $3.05Jordan's right pocket: $1.09Adding these two amounts gives Jordan a total of $4.14.
By comparing the two totals, we see that Kiki has more money than Jordan. The difference in their amounts is $4.17 (Kiki's total) - $4.14 (Jordan's total) = $0.03. Therefore, Kiki has three cents more than Jordan.
In a complete sentence: Kiki has more money than Jordan by three cents.
Salma gives a cashier $20 bill. She is buying an item for $9.85. How much money should salma get back
Answer:
10.15 dollars is the answer...
Totsakan's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 12 child tickets for a total of $178. The school took in $83 on the second day by selling 4 adult tickets and 3 child tickets. Find the price of an adult ticket and the price of a child ticket.
Answer:
1) adult ticket: $14, child ticket: $9
Step-by-step explanation:
The cost to produce x units of wire is C= 55x + 450, while the revenue is R= 80x. Find all intervals where the product will at least break even.
The product will break even when x is greater than or equal to 18 units, i.e., x ≥ 18, as revenue (R) exceeds or equals cost (C) at this production level.
To find the intervals where the product will at least break even, we need to determine the values of x for which the revenue (R) is equal to or greater than the cost (C), i.e., R ≥ C.
Given:
Cost function C(x) = 55x + 450
Revenue function R(x) = 80x
We can set up the inequality:
80x ≥ 55x + 450
To isolate x, we can subtract 55x from both sides:
80x - 55x ≥ 55x - 55x + 450
This simplifies to:
25x ≥ 450
Now, divide both sides by 25 to solve for x:
x ≥ 450 / 25
x ≥ 18
So, the product will break even when x is greater than or equal to 18. This means that for any production level of 18 units or more, the revenue will be equal to or greater than the cost, ensuring that the product is at least breaking even. Therefore, the interval where the product will at least break even is x ≥ 18.
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To break even, the revenue (R) must equal the cost (C). Setting the revenue function R = 80x equal to the cost function C = 55x + 450 and solving for x, we find that the product will break even when x >= 18 units, meaning the company will begin to make a profit at any production level greater than 18 units.
To find where the product will at least break even, we need to determine when the total revenue
(R) is greater than or equal to the total cost (C). The cost to produce
x units of wire is given by C = 55x + 450, and the revenue by R = 80x. To break even,
R must be equal to C:
80x = 55x + 450
Solving for x gives us:
80x - 55x = 450
25x = 450
x = 450 / 25
x = 18
Therefore, the product will break even at x = 18 units. For any number x greater than 18, R will be greater than C, which means profits are being made. The interval for breaking even is thus x >= 18.
PLEASE HURRY.
Niki can drive her car 22 miles on each gallon. If niki drives m miles which expression the number of gallons used?
A:m-22
B:22m
C:22/m
D:m/22
Answer:
M divided by 22 = total number of gallons used for the trip (m/22)
Step-by-step explanation:
Let's identify what we know:
1) Niki's car can do 22 miles per gallon (mpg)
So, what formula would we use to find out how many gallons were used if Niki drove m (number of miles) miles?
Well, let's pretend that Niki drove 154 miles! How would we solve it? Let's create a formula:
154/22 = number of gallons used
so, 154 is m!
m/22 = number of gallons used.
D is the correct answer! :)
Answer:
D.
m/22
Step-by-step explanation:
What is the value of y=4x−2
when x=3
?
Answer:
y = 10
Step-by-step explanation:
y = 4(3) - 2
y = 12 - 2
y = 10
Answer:
10
Step-by-step explanation:
plug the 3 in and multiply it by the 4. subtract the 2 and thats it!
The area of a circle is 49π cm^2. Find the circumference of the circle. Leave your answer in exact form, no decimals, and include units (Note: make sure you are showing the formulas you use to answer the question and how the numbers fit into the formulas).
Step-by-step explanation:
Let r be the radius of the circle
The area of a circle is A = pi * r^2
We know the area is 49 pi
pi r^2=49 pi
r^2=49 pi/pi
r^2=49
r=sqrt 49
r=7
The circumference of the circle is calculated as
C = 2pi*r
C = 2 *pi *(7)
C = 14*pi cm
pi=22/7
C=14*22/7=2.22=44 inches
so,C =44 inches
15% as mixed number in simplest form
Answer:
The simplified fraction form of 15% is 320
The measures of the angles in a triangle are x, 2x, and 3x. The triangle is
Step-by-step explanation:
x + 2x + 3x = 180°
6x = 180°
Therefore, x = 30°
2 x = 60°
3x = 90°
Hence, it is a right angled triangle.
Answer:
The triangle is right
Step-by-step explanation:
x+2x+3x=180
6x=180
x=30
30-60-90
The largest angle is 90 degrees which means that the triangle is right. (def of right triangle)
Susan is saving money to buy a game. The game costs $30 , and so far she has saved two-thirds of this cost. How much money has Susan saved?
Answer:
Susan has saved 20 Dollars so far
Zeke bought 10 shares of a company’s stock at a price of $21.20 per share. He now sees that the price per share of his investment is $32. His broker informs him that the price of the shares may see a decline in the future. Zeke should ideally the assets because he stands to earn a profit of per share from the transaction.
Zeke can make a profit of $10.80 per share if he sells his stocks now. His broker expects a decline in the future, so selling now would be a good decision.
Explanation:Zeke's situation pertains to the world of finance and stock investment. He bought 10 shares of a company's stock at $21.20 per share and it's currently priced at $32 per share. By subtracting the buying price from the current price, we can calculate the profit per share which is $10.80.
So, if he sells the stocks now, he will make a profit of $10.80 per share. For 10 shares, that's a total profit of $108 (10 shares * $10.80 per share). If his broker expects a decline in the price, Zeke ideally should sell the shares now to profit before the prices go down.
Generally, the rate of return on a financial investment in a share of stock can be from dividends paid by the firm or as a capital gain achieved by selling the stock for more than you paid. In this case, Zeke's profit would be considered a capital gain.
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