Answer:
Range = -1 ≤ y ≤ 2
Step-by-step explanation:
The function's range is the y-values the function can have as its output. -1 is the minimum y-value and 2 is the maximum y-value.
What table represents g(x) = -2•f when f(x) = x + 4
Answer:
-2 is the answer.
Step-by-step explanation:
#CarryOnLearning
identify the system by type
Answer:
Inconsistent system
Step-by-step explanation:
Given
The attached graph
Required
The type of system
When two lines are parallel, it means they have the same slope and as such, the system has no solution.
Equations with the same slope are:
[tex]y = 2x + 6[/tex]
[tex]y = 2x- 8[/tex]
Both have a slope of 2
Such system are referred to inconsistent system.
Hence, (c) is correct.
The volume of a cube is 2,744 m3. What is the side length of the cube?
Answer:
The length is 14 and the area is 196 cm².
The side length of the cube is 14 meters.
We have,
Volume of Cube = 2744 m³
To find the side length of a cube when given its volume, you can use the formula:
Side length = ∛(Volume)
So, substitute this value into the formula to calculate the side length:
Side length = ∛(2,744)
= ∛ 14 x 14 x 14
= 14 m
Therefore, the side length of the cube is 14 meters.
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The product of 2 integers is 72. One number is two less than five times the other. Which equation can be used?
Answer:
should be (5y-2)y = 72
Step-by-step explanation:
since the product of the two is 72, it's true that xy = 72. and it is also true that x is equal to five times y minus 2, so you can rewrite x as 5y-2. plug that in for x in the first equation, and you're set. hope this helps :)
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
7 x + 4 and 3 x + 5 + 4 x minus 1
Help asap!!!!!!
A.
B.
C.
D.
Answer:
Function has a minimum value
So, f(x)=0 and f(4)=-3
f(x)= - 1/2x^2+4x-11f(4)=-3 and f(x)=-x+4
f(4)=0
OAmalOHopeO
The figure shown represents a roof truss
design. Based on the markings on the figure,
which of the triangles can you prove are
congruent?
OPTION C is the correct answer.
The ΔAFE ≅ ΔBHG by the angle, side and angle theorem are congruent. Option (A) is correct.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
The figure shows models of a roof truss. Based on the markings, there is enough information to prove that
ΔAFE ≅ ΔBHG
∠EFA=∠GHB (90 degrees )
EF = GH (equal side)
EAF = GBH (the side opposite to the angle is equal)
ΔAFE ≅ ΔBHG (ASA )
Thus, ΔAFE ≅ ΔBHG by the angle, side and angle theorem are congruent.
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GED Academy Practice Test
What is the value of the expression?
4+(-2)
-3+3
Answer:
The first one is 2
The second one is 0
I hope this helps!
Answer:
First:
[tex]{ \tt{ = 4 + ( - 2)}} \\ = 4 - 2 \\ = 2[/tex]
Second:
[tex] - 3 + 3 \\ = 0[/tex]
please simplify this one. I need answers fast as possible.
This is the answer.
Hope it helps!!
Answer:
[tex]120.\sqrt{2}.\sqrt[3]{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{32} = \sqrt{16.2} =\sqrt{4^{2}.2} = 4\sqrt{2}[/tex]
[tex]\sqrt[3]{81} =\sqrt[3]{27.3} =\sqrt[3]{3^{3}.3 }=3\sqrt[3]{3}[/tex]
∴[tex]5\sqrt{32}.2\sqrt[3]{81} =5. [4\sqrt{2}].2.[3\sqrt[3]{3} ][/tex]
[tex]=120.\sqrt{2}.\sqrt[3]{3}[/tex]
Michael wants to buy some new exercise equipment for his home gym for 372,000 financial at an annual interest rate of 12% using the add on method. If michael wants to pay off the loan in 2 years. What will be his monthly payment?
Step-by-step explanation:
the answer of this question will be 88,800
Answer:
Step-by-step explanation:
g Vectors ???? and ???? are sides of an equilateral triangle whose sides have length 4. Compute ????⋅????. (Give your solution as a number to one decimal place.
Answer:
[tex]v \cdot w = 8.0[/tex]
Step-by-step explanation:
See comment for complete question
Given
[tex]|v| = |w| = 4[/tex] --- the side lengths
Required
[tex]v \cdot w[/tex]
[tex]v \cdot w = |v| \cdot |w| \cdot (cos\theta)[/tex]
From the question, we understand that v and w are sides of an equilateral triangle.
This means that:
[tex]\theta = 60^o[/tex] --- angles in an equilateral triangle
So:
[tex]v \cdot w = |v| \cdot |w| \cdot (\cos 60)[/tex]
So, we have:
[tex]v \cdot w = 4 * 4 * 0.5[/tex]
[tex]v \cdot w = 8.0[/tex]
Monique made several batches of soup.
Each batch required 3/4 of a pound of potatoes. She used a total of 6 1/2 pounds. How many batches did she make?
Answer:
8 batches
in workings show whats left over but not counted.
As a batch its a whole number as the multiplier will usually be the fraction
and fraction / fraction should always show fraction but the whole number given with a remainder can be shown if not a whole number.
Step-by-step explanation:
6 1/2 = 6.5
and ;
3/4 of a pound = 0.75 of 1 pound
6.5 / 0.75 = 8.7 or in full workings write = 8.6666.....7
8.7/ 1 = 8 batches with 0.7 or 0.66667 left over
Answer In fraction for exam question given in fraction 8.7 = 8 batches
with 7/10 left over.
I only need the odd numbers answered
Answer:
1.a+4=11
a=7
2.6=g+8
g=2
3.
?
4.k+8=3
k=-5
5.j+0=9
j=9
6.12+y=15
y=3
7.h-4=0
h=4
8.m-7=1
m=8
9.w+5=4
w=-2
10.b-28=33
b=61
11.45+f=48
f=3
12.n+7.1=8.6
n=1.5
Hope This Helps!!!
mrs cabrini needs 2 quarts of tomato sauce to make a large batch of her spaghetti sauce. she has 1 1/4 quarts of her own. she borrows 1/2 quart from the neighbor across the hall and 3/8 quart from the neighbor next door . how many quarts does she have in all of her own .
Answer:
Mrs. Cabrini has a total of 2 1/8 quarts of tomato sauce.
Step-by-step explanation:
Since Mrs. Cabrini needs 2 quarts of tomato sauce to make a large batch of her spaghetti sauce. she has 1 1/4 quarts of her own, and she borrows 1/2 quart from the neighbor across the hall and 3/8 quart from the neighbor next door, to determine how many quarts does she have in all of her own must perform the following calculation:
1/4 = 0.25
1/2 = 0.5
3/8 = 0.375
0.25 + 0.5 + 0.375 = X
1.125 = X
1 + 1,125 = 2,125
Therefore, Mrs. Cabrini has a total of 2 1/8 quarts of tomato sauce.
nit 4 Topic 3 HW Sets Applications e Sunday by 11:59pm Points 100 Submitting an external tool Question How many subsets and proper subsets does the set M = {1,2,3} have? Select the correct answer below:
Answer:
ghthtf
Step-by-step explanation:
tygtgg
Let f(x) = (x − 1)2, g(x) = e−2x, and h(x) = 1 + ln(1 − 2x). (a) Find the linearizations of f, g, and h at a = 0. What do you notice? How do you explain what happened?
Answer:
Lf(x) = Lg(x) = Lh(x) = 1 - 2x
value of the functions and their derivative are the same at x = 0
Step-by-step explanation:
Given :
f(x) = (x − 1)^2,
g(x) = e^−2x ,
h(x) = 1 + ln(1 − 2x).
a) Determine Linearization of f, g and h at a = 0
L(x) = f (a) + f'(a) (x-a) ( linearization of f at a )
for f(x) = (x − 1)^2
f'(x ) = 2( x - 1 )
at x = 0
f' = -2
hence the Linearization at a = 0
Lf (x) = f(0) + f'(0) ( x - 0 )
Lf (x) = 1 -2 ( x - 0 ) = 1 - 2x
For g(x) = e^−2x
g'(x) = -2e^-2x
at x = 0
g(0) = 1
g'(0) = -2e^0 = -2
hence linearization at a = 0
Lg(x) = g ( 0 ) + g' (0) (x - 0 )
Lg(x) = 1 - 2x
For h(x) = 1 + ln(1 − 2x).
h'(x) = -2 / ( 1 - 2x )
at x = 0
h(0) = 1
h'(0) = -2
hence linearization at a = 0
Lh(x) = h(0) + h'(0) (x-0)
= 1 - 2x
Observation and reason
The Linearization is the same in every function i.e. Lf(x) = Lg(x) = Lh(x) this is because the value of the functions and their derivative are the same at x = 0
simplify 3x⁵y³ ÷2y² step by step
Answer:
3/2 x^5 y
Step-by-step explanation:
3x^5y^3
----------------
2y^2
Simplify the y terms
y^3 / y^2 = y^(3-2) = y
3/2 x^5 y
Answer:
[tex] \frac{3}{2} x {}^{5} y {}^{} [/tex]
Step-by-step explanation:
it's all in the image
Find, correct to the nearest degree, the three angles of the triangle with the given ven
A(1, 0, -1), B(4, -3,0), C(1, 2, 3)
o
CAB =
O
LABC =
O
LBCA =
9514 1404 393
Answer:
∠CAB = 86°
∠ABC = 43°
∠BCA = 51°
Step-by-step explanation:
This can be done a couple of different ways (as with most math problems). We can use the distance formula to find the side lengths, then the law of cosines to find the angles. Or, we could use the dot product. In the end, the math is about the same.
The lengths of the sides are given by the distance formula.
AB² = (4-1)² +(-3-0)² +(0-(-1)) = 16 +9 +1 = 26
BC² = (1-4)² +(2-(-3))³ +(3-0)² = 9 +25 +9 = 43
CA² = (1-1)² +(0-2)² +(-1-3)² = 4 +16 = 20
From the law of cosines, ...
∠A = arccos((AB² +CA² -BC²)/(2·AB·CA)) = arccos((26 +20 -43)/(2√(26·20)))
∠A = arccos(3/(4√130)) ≈ 86°
∠B = arccos((AB² +BC² -AC²)/(2·AB·BC)) = arccos((26 +43 -20)/(2√(26·43)))
∠B = arccos(49/(2√1118)) ≈ 43°
∠C = arccos((BC² +CA² -AB²)/(2·BC·CA)) = arccos((43 +20 -26)/(2√(43·20)))
∠C = arccos(37/(4√215)) ≈ 51°
The three angles are ...
∠CAB = 86°
∠ABC = 43°
∠BCA = 51°
_____
Additional comment
This sort of repetitive arithmetic is nicely done by a spreadsheet.
Complete the following statement.
Answer:
Hello dude
[tex] - 1 \frac{21}{24} + 1 \frac{22}{24} = + \frac{1}{24} [/tex]
so it's positive
HAVE A NİCE DAY
Step-by-step explanation:
GREETİNGS FROM TURKEY ツ
Sticky buns sell for $1.25 each,or $10.89 per dozen. how much does each bun cost if purchased by the dozen? How much do you save on 12 sticky buns?
Answer:
If you buy per dozen, each buns costs about 91 cents.
You will save $4.11 if you buy per dozen.
Step-by-step explanation:
1.25 * 12= $15
10.89/12= .9075 = .91 cents
15-10.89= $4.11
HELP ME PLEASE ASAP! So the answer for the question I got is 113.1. Is my answer correct or is it wrong? Please let me know how to solve this problem if the answer is wrong. Thank you for your time.
Answer: 113.01m - You are almost right
Step-by-step explanation:
Simply by using pir^2, you get the number you calculated, but it is asking for at least 2 decimal places. So it would be "113.01"
PLEASE HELP
Fill in the blanks. Then, choose the property of addition you used.
(a)3+_= 3
(Choose one)
(b)4 + 7) + _1 = 4 + (7 + 3)
(Choose one)
(c)9+8 = 8+_
(Choose one)
Fill in the blank and choose a property
Answer:
3+ 0 = 3
( 4+7) + 3.0 × 1 = 4 + (7+3)
9 + 8 = 8 + 9
Xavier is testing different types of planting soil to determine which type is most effective in growing blueberry bushes. He purchases two different brands of planting soil from a local store. Xavier applies Brand A to an area of the yard that receives full sunlight and Brand B to another area of the yard that is in partial sunlight. He waters the area with Brand B daily; he waters the area with Brand A every other day. At the end of the study, Xavier concludes Brand A is more effective in growing blueberry bushes. Why is his conclusion not valid?
Answer:
He did not control for lurking variables and their impacts on the results of his experiment. Amount of sunlight and water received are two outside variables(or confounding variables) that may impact the growth of his plants and influence the results. He needs to apply the same amount of sunlight and water to each plant within a different planting soil in order to rule out the influence of those two variables and test the sole effect of the soil brand on the plant growth. Otherwise, it would be hard to determine whether his plant growth was because of the soil brand or the different amounts of sunlight and water received
Answer:
Invalid
Step-by-step explanation:
Xavier did not control variables or the impacts of the results. Confounding variable being sunlight and water received are two outside variables that can impact growth influence results. Within a different planting soil, Xavier will apply the same amount of sunlight & water to each plant to rule out the influence of those two variables. The test for sole effect on the plant with growth otherwise be determine. Is the plant growth because of the soil brand or the different amounts of sunlight and water received? This could and will impaired the results of this experiment, therefore, making it invalid.
is the equation x^3 - 2x^2 + 1 = 0 a quadratic equation?
Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :
STEP
1
:
Equation at the end of step 1
(((x3) - 2x2) + 2x) - 1 = 0
STEP
2
:
Checking for a perfect cube
2.1 x3-2x2+2x-1 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-2x2+2x-1
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 2x-1
Group 2: -2x2+x3
Pull out from each group separately :
Group 1: (2x-1) • (1)
Group 2: (x-2) • (x2)
a student estimates the length of a room to be 20 feet. The actual length is 20.25 feet. What is the percent error?
Answer:
Percent error=1.23%
Step-by-step explanation:
We are given that
Estimate length of room=20 feet
Actual length of room=20.25 feet
We have to find the percent error.
To find the percent error we will find the difference between the estimate length and actual length of room.
Difference=Actual length of room-Estimate length of room
Difference=20.25-20
Difference=0.25 feet
Now,
Percent error=[tex]\frac{Difference}{actual\;length}\times 100[/tex]
Percent error=[tex]\frac{0.25}{20.25}\times 100[/tex]
Percent error=1.23%
Solve (x - 5)2 = 3.
Answer:
x = 5±√3
Step-by-step explanation:
Equation: (x-5)² = 3
Step 1: Take the square root of both side of the equation
√(x-5)² = ±√3
x-5 = ±√3
Step 2: add 5 to both side of the equation
x-5+5 = 5±√3
x = 5±√3
Hence, from the options above, the right answer is
B. x = 5±√3
Please answer i need help please i will give you brainlest please
Answer:
14) 4x+10=8x-26 (corresponding angles are equal)
4x-8x=-26-10
-4x=-36
x= -36/-4= 9
x=9
15) perimeter of rectangle= 2(l+b)
2( l+ [tex]\frac{2l}{3}[/tex]) = 40m
2l+ [tex]\frac{4l}{3}[/tex] =40
Take LCM as 3
[tex]\frac{2l}{1}[/tex] * [tex]\frac{3}{3}[/tex] + [tex]\frac{4l}{3}[/tex] =40
[tex]\frac{6l+4l}{3}[/tex] = 40
[tex]\frac{10l}{3}[/tex] = 40
10l=40*3
10l = 120
l= 120/10 =12 cm
l=12cm
b= 2/3 *12 = 8cm
16) 2:3:4
It can be written as 2x+3x+4x
sum of angles of a triangle =180 degree
so 2x+3x+4x=180
9x=180
x=180/9=20 degree
1st angle=2x=2*20= 40 degree
2nd angle= 3x=3*20 =60 degree
3rd angle= 4x=4*20= 80 degree
17) sum of interior angles of a pentagon is 540 degree
so, 125+88+128+60+x=540 degree
401 +x= 540 degree
x=540-401= 139 degree
Hope this helps
Please mark me as brainliest
(sec theta - tan theta)²
Answer:
(sec θ - tan θ)²
= sec² θ –2 sec θ tan θ + tan² θ
Find the slope of the line that passes through the two points. -3,6 & -7,3
HELP!!!!
BRE
What is the radius of a circle whose equation is (x - 7)2 + (y - 10)2 = 4?
2 units
ОО
4 units
8 units
16 units
Answer:
2
Step-by-step explanation:
The equation of a circle is given as:
(x-h)^2 + (y-k)^2 = r^2
so r^2 = 4
r = sqrt(4)
r = 2
Answer:
A
Step-by-step explanation: