Answer:
.
Step-by-step explanation:
What are the solutions to the system of equations?
Graph the system of equations to solve.
(−4,2) and (2,−1)
(0,0) and (−4,2)
(0,0) and (0,−2)
(2.9,0) and (−2.9,0)
Graphically, we will see that the solutions of the system are (−4,2) and (2,−1)
How to solve the system of equations?To solve the system of equations graphically, we need to graph both of the equations and see in which points the graphs intercept.
The graph of the system can be seen below, there you can see that the intercepts are at:
(-4, 2) and (2, -1)
So these are the two solutions of the system of equations.
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A shipment of tile cost $64,500. each tile costs 15 dollars. how many pieces of tile are in the shipment?
Answer:
4,300
Step-by-step explanation:
total cost of the shipment of tile cost =$64,500
each tile cost =$15
how many pieces will now be the total cost of shipment tile divided by the cost of each tile
which will be
64500/15
=4,300 tiles are there
i am glad I helped
What is the gradient of the blue line?
Drag each tile to the correct box. Not all tiles will be used.
Place the steps for finding in the correct order.
Answer+Step-by-step explanation:
[tex]f^{-1}\left( x\right) =\frac{1}{7} x^{2}+3 \ ,\text{where}\ x\geq 0[/tex]
(d) Two alarm clocks are set to ring at intervals of 42 minutes and 56 minutes respectively. If the alarm clocks ring together at 0830, at what time will they next ring together again?
Answer:
11:18
Step-by-step explanation:
the lowest common multiple [meaning the nearest possible time these clocks will be ringing at the same time] of 42 and 56 is 168
(56 x 3 = 168 ; 42 x 4 = 168)
So, in 168 minutes, the clock will ring together again.
Now, we need to add 168 minutes to 08:30
(168 can be made up of 2 hours and 48 minutes [120 + 48 = 168])
08:30 + 2 hours = 10:30
10:30 + 48 minutes = 11:18
So, at 11:18, these clocks will ring together again
1. In a class of 24, 3 students were absent, What fraction of class is present
2. Karen taped a television show that lasted 1h 30mins. On the same tape she recorded another 2 shows that were 5/6h each. What time was still left on the 4h tape.
3. Steve ordered 12 lengths of timber, each 6m long. He cut 6 lengths into 1 1/2m pieces and the other 6 lengths into 3/4 pieces A. How many pieces together is this? B. Was there any waste?
Problem 1
Answer: 7/8 of the class is presentReason:
24 people total with 3 absent. So 24-3 = 21 are present
21/24 = (7*3)/(8*3) = 7/8
==========================================================
Problem 2
Answer: 50 minutes left on the tape.Work Shown:
1 hour = 60 min
(5/6)*(1 hour) = (5/6)*(60 min)
5/6 of an hour = 50 min
1 hr + 30 min = 60 min + 30 min = 90 min
The first show is 90 minutes. Add on two more shows that are 50 min each to get 90+50+50 = 190 minutes used up
4 hours = 4*60 = 240 min
240 - 190 = 50 min
There are 50 minutes left on the tape.
==========================================================
Problem 3
Answer: 72 pieces; not enough info to calculate the wasteExplanation:
1 1/2 = 1 + 1/2 = 1 + 0.5 = 1.5
6/(1.5) = 4
Each 6 meter board is cut into 4 equal pieces each 1.5 meters long
There are 6 boards this applies to which means so far that's 6*4 = 24 pieces
Now to the other 6 boards.
3/4 = 0.75
6/(0.75) = 8
Each of the other 6 boards are cut into 8 equal pieces of 0.75 meters each
That's another 6*8 = 48 pieces
In total there are 24+48 = 72 pieces
When cutting into wood, there always is a small sliver that is discarded. While small, these slivers do add up. So yes there is some waste. Unfortunately, we don't have enough info to calculate. We would need to know the width of the saw blade.
When f(a) = 227 + 32 - 3, evaluate f( - 1)
helpp
Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} + 3x - 3[/tex]
[tex]f( - 1) = 2. {( - 1)}^{2} + 3.( - 1) - 3[/tex]
[tex]f( - 1) = 2 - 3 - 3[/tex]
[tex]f( - 1) = - 4[/tex]
If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of when x is 11?
Answer:
[tex]\frac{18}{5}[/tex] (11)
Step-by-step explanation:
If it varies directly, you need to find k, the constant of proportionality.
This is done by plugging the values in for x & y that are known.
y = kx
18 = k(5)
[tex]\frac{18}{5}[/tex] = k
Now solve for y when x is 11.
y = [tex]\frac{18}{5}[/tex] (11)
y = 39.6
What is the solution set for -1<-2f+1<9? Please show work and chose a b c and d
The solution set is 1 ≥ f ≥ -4, and the correct number line is the one in option A.
How to find the solution set?
Here we have the inequality:
-1 ≤ -2f + 1 ≤ 9
To solve this, we need to isolate the "f" on the middle.
First, we can subtract 1 in both sides to get:
-2 ≤ -2f ≤ 8
Now we need to divide both sides by -2, remember that this will change the direction of the symbols:
-2/-2 ≥ f ≥ 8/-2
1 ≥ f ≥ -4
So we need to have a line that starts at -4 and ends at 1, the correct option is number line A.
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Choose the function whose graph is given below.
The graph represents the trigonometric function y = cotx option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have shown a trigonometric graph in the picture.
As we know:
At x = 0
tan0 = 0
But cotx at x = 0 does not defined.
The csc x and sec x are the reciprocal of sinx and cosx and the sinx and cos have a sinusoidal graph.
Thus, the graph represents the trigonometric function y = cotx option (C) is correct.
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What are the solutions of the equation x4 - 5x2 - 14 = 0? Use factoring
to solve.
Answer:
x = ±√7, ±i√2
Step-by-step explanation:
[tex]x^4-5x^2-14=0\\(x^2-7)(x^2+2)=0\\[/tex]
[tex]x^2 - 7 = 0[/tex] or [tex]x^2 + 2 = 0\\[/tex]
x^2 - 7 = 0
x^2 = 7
x = ±√7
or x^2 + 2 = 0
x^2 = -2
x = ±i√2
5.7x10^6 as an ordinary number
Answer:
5700000
Step-by-step explanation:
Can anyone help me with this it would be great.
Answer:
11. The student put 24 as the diameter instead of the radius.
12. 48 pi
Step-by-step explanation:
The formula for the circumference of a circle is c = pi x diameter.
However, the question says that the radius is 24m, not the diameter.
To fix it, all you need to to is double the radius to get 48m for the diameter.
48 x pi = 48 pi
Answer:
The error is that he made the radius a diameter.The circumstances is 150.8571428 mStep-by-step explanation:
π = 22/7 or 3.14
Circumference= diameter × 22 / 7
= 2 × radius × 22 / 7
= 2 × 24 × 22/ 7
= 48 × 22 / 7
= 48 / 1 × 22 / 7
= 1056 / 7
= 150.8571428 m
Which statement is true?
O When an altitude is drawn from the right angle in a right triangle it creates two similar triangles.
O When an altitude is drawn from an acute angle in a right triangle it creates three similar triangles.
O When an altitude is drawn from the right angle of a right triangle it creates three similar triangles.
O When an altitude is drawn from an acute angle in a right triangle it creates two similar triangles.
Answer:
C) When an altitude is drawn from the right angle of a right triangle it creates three similar triangles.
Step-by-step explanation:
The Inscribed Similar Triangles Theorem states that if an altitude is drawn from the right angle of any right triangle, then the two triangles formed are similar to the original triangle and all three triangles are similar to each other.
I need help solving this
Answer: y = -x + 5
Step-by-step explanation:
A slope-intercept equation is in the form y = mx + b where m is the slope and b is the y-intercept. Since we are given the slope, we will plug it in with the point they gave us, and solve for b.
y = mx + b
(1) = (-1)(4) + b
1 = -4 + b
5 = b
Lastly, we will write our equation by substituting m with -1 and b with 5.
y = mx + b
y = -1x + 5 or y = -x + 5
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According to the table below, which of these is a possible taxable income for
a taxpayer filing with the Single filing status in the 33% federal income tax
bracket?
Based on the table, a possible taxable income for a taxpayer that's filing with the Single filing status in the 33% federal income tax bracket is $300,000.
What is taxation?Taxation is the involuntary fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public projects, institutions and activities.
In this scenario, we can infer and logically deduce that a possible taxable income for a taxpayer that is filing with the Single filing status in the 33% federal income tax bracket is $300,000.
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Which equation represents the graph below?
Answer:
D
Step-by-step explanation:
The slope-intercept form is the equation of a straight line (y=mx+b)
m= gradient and b= y-intercept
m=2/3 (rise over run) b= 4 (it goes through the point (0,4)
y=(2/3)x+4
Get rid of the fraction by multiplying everything by 3
3y=2x+12
which is also -2x+3y=12
can someone help me with this ??
Order the following numbers from least to greatest.
According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19
Descending and ascending orderOrdering a sequence of number from least to greatest is known as the ascending order of magnitude
Given the following parameters
∛64, √19 and 4.222...
The cube root of 64 is 4
The square root of 19 is 4.36
While the repeating decimal 4.2. can be 4.2222...
Ordering from least to greatest is 4, 4.2222, 4.36
According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19
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What is the solution (a+b) to this system of linear equations
3a+6b=45
2a-2b=12
The value of the equation a + b is 12
How to determine the solution?The system of equations is given as:
3a + 6b = 45
2a - 2b = 12
Multiply the second equation by 1.5
3a - 3b = 18
Subtract this equation from the first equation to eliminate a
9b = 27
Divide by 9
b = 3
Substitute b = 3 in 2a - 2b = 12
2a - 2*3 = 12
Divide through by 2
a - 3 = 6
Add 3 to both sides
a = 9
So, we have:
a + b = 9 + 3
Evaluate
a + b = 12
Hence, the value of the equation a + b is 12
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Given a function f : a → b and a subset y ⊆ b, is f (f −1 (y)) = y always true? prove or give a counterexample
If the subset y is the empty set, then the statement is false. That is the counterexample.
Is the statement true?
We know that for an invertible function, we always have that:
[tex]f(x) = y\\f^{-1}(y) = x[/tex]
Now, the range of f(x) is the set b. This means that the domain of the inverse is the set b. Such that:
f^{-1} is defined on b→a
Now we want to work on a subset y ⊆ b.
And here comes the problem.
The empty set {∅} is a subset of ay other set. So, if y is the empty set, there are no elements where we can evaluate the inverse function. From that counterexample, we conclude that the statement is false.
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The volume of the cube is given as V= x³, where x is the side length of the cube. Find the domain of the volume of
the cube.
Answer: None of the choices
Step-by-step explanation:
1. It couldn't be integers (whole numbers positive or negative), because a cube couldn't have a negative volume.
2. It could be natural numbers, but the problem is, that a volume could have decimal values, for example, 3.62 meters cubed which a natural number doesn't support.
3. Set of whole numbers is the same as integers, so it can't be that.
4. None of the choices, which in my opinion is the correct one.
I'm not sure it is correct, but I hope I helped you!
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-m-2=2+
m
O 2
O 3
04
O 5
ap:3, 2, 1....
what is its coomon difference
Answer:
-1
Step-by-step explanation:
3-1=2
2-1=1
Can someone help me please
Answer:
b i just toke the test
jejsjsjsjsjsjsjsjs
Answer:
[tex] \boxed{\bf A)\: 3 \: units}[/tex]
Step-by-step explanation:
Given that, the area = 9π units²
Area of a circle = πr²
So...
[tex]\bf {\pi}r^{2} = 9\pi[/tex][tex]\bf {r}^{2} = 9[/tex][tex]\bf r = 3 \: units[/tex]---------------------------what's a frustum and what's the formula of the Almighty Formula
Answer:
the portion of a solid that lies between one or two parallel planes cutting it
Step-by-step explanation:
I am a nine digit number. my tens place is 2. ones place is 3 more than tens place . hundreds place is between 7 and 9. ten thousands place is 3 multiplied by tens place . lakhs place is successor of tens place. ten lakhs place is predecessor of hundreds place . crores place is between 8 and 10. ten crores place is 7 more than tens place. what number am i
Answer:
nmj
e
w
w
w
w
w
w
w
w
w
wej i2v82v2ivw8q
Step-by-step explanation:
h2iwv282vw8wvq
On a coordinate plane, a right triangle has points A (negative 5, negative 6), B (negative 5, negative 2), C (negative 2, negative 2). Examine the right triangle ABC. Which rise and run would create a similar right triangle on the same line? a rise of 6 and a run of 8 a rise of 8 and a run of 6 a rise of 6 and a run of 5 a rise of 5 and a run of 6
The rise and run that would give us a similar right triangle on the same given line is: B. a rise of 8 and a run of 6.
What is the Rise and Run of Points on the Same Line?The rise/run of any two points on the same line are have the same slope value.
Given the coordinates:
A(-5, -6)B(-5, -2)The rise of triangle ABC = change in y = 4 units
The run of triangle ABC = change in x = 3 units
Rise/run = 4/3
Therefore, a rise of 8 and a run of 6 would give us: 8/6 = 4/3.
This will give us a triangle similar to triangle ABC.
Therefore, the answer is: B. a rise of 8 and a run of 6.
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The largest number of Oscars received by a film in year X was 4. This was different in previous years. Below is a probability distribution for the number of Oscars per Oscar winning film. What is the standard deviation of this distribution
The standard deviation of the given discrete distribution, considering it's formula, is of 1.195.
How to find the mean and the standard deviation of a discrete distribution?The mean is given by the sum of the multiplications of each outcome by it's probability.The standard deviation is given by the square root of the sum of the squares of each outcome subtracted by the mean, multiplied by it's probability.Researching this problem on the internet, the distribution is given by:
P(X = 1) = 0.56.P(X = 2) = 0.23.P(X = 3) = 0.11.P(X = 4) = 0.05.P(X = 5) = 0.03.P(X = 6) = 0.02.Hence the mean is given by:
E(X) = 0.56(1) + 0.23(2) + 0.11(3) + 0.05(4) + 0.03(5) + 0.02(6) = 1.82.
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{0.56(1-1.82)^2+0.23(2-1.82)^2+0.11(3-1.82)^2 + \cdots + 0.02(6-1.82)^2} = 1.195[/tex].
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What is the polynomial? Quick I need answer
Answer:
An algebraic expression containing two or more terms is called a polynomial
Answer:
Its C
Step-by-step explanation:
it worked finally
Which are factors of x² - 4x - 5? Select two options.
(x - 5)
0 (x-4)
0 (x-2)
0 (x + 1)
0 (x + 5)
Answer:
(x-5) & (x+1)
Step-by-step explanation:
Answer:
(x - 5) and (x + 1)
Step-by-step explanation:
x² - 4x - 5
consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)
the factors are - 5 and + 1 , since
- 5 × + 1 = - 5 and - 5 + 1 = - 4 , then
x² - 4x - 5 = (x - 5)(x + 1)
