The statement that describes the combined functions V(x) and S(x) is B. The sum function is linear but the volume function is not.
How to illustrate the information?It should be noted that we are given that f(x) and g(x) are linear. Due to this, the sum function S(x) is linear.
And we know the shape of our figure, so we just need to multiply the dimensions for V(x) but the product of three linear functions results in a cubic function, and we conclude V(x) is not linear.
Therefore, the statement that describes the combined functions V(x) and S(x) is that the sum function is linear but the volume function is not.
In conclusion, the correct option is B.
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Which of the following groups of words are listed in alphabetical order?
A) tank, target, tap, tangerine
B) peak, pearl, peanut, peasant
C) light, lock, locust, lottery
The groups of words that are listed in alphabetical order will be B. peak, pearl, peanut, peasant.
What is alphabetical order?It should be noted that alphabetical order simply had to do with the arrangement based on the alphabet.
In this case, the groups of words that are listed in alphabetical order will be peak, pearl, peanut, peasant.
Therefore, the correct option is B.
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Multiply the number by 4. Add 6 to the product. Divide this sum by 2. Subtract 3 from the quotient.
Answer:
-1.5
Step-by-step explanation:
Let x be the number
(4x+6)÷2 =-3
2(2x+6)÷2=3
2x+6=3
2x=3-6
2x=-3
x=-3÷2
x=--1.5
AB : BC = 3:2
Point B ∈ AC . Find the lengths of segments AB and BC if AC = 20 cm
The length of the segments AB and BC if AC = 20 then:
AB = 12cm
BC = 8cm
What is the simplest definition of a line segment?In geometry, a line segment is defined as two different points on a line. In contrast, a line segment is a piece of a line that connects two points. A line has no endpoints and runs indefinitely in both directions, whereas a line segment has two fixed as well as definite endpoints.
Is there a distinction between a line segment as well as a ray?Yes. A ray is not the same as a line segment. A ray has one endpoint, but a line segment has two. The ray's one end extends indefinitely, whereas the endpoints of a line segment are always specified and fixed.
According to the given data:We know that:
a:b=c:d as a/b=c/d
AB:BC = 3:2
is AB/BC=3/2
AB=3/2*BC
AC=20=AB+BC
So,
20=3/2*BC+BC
13/2BC=20
BC=8cm
AB=20-8=12cm
The length of the segments AB and BC if AC = 20 then:
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Solve for the percentage in the problem. Round to the nearest tenth of a percent.
$953 is _____% of $1717
Select one:
O a. 0.6
O b. 0.1
O c. 180.2
O d. 55.5
What is the slope of the line y=x+4?
O A.
1112
OB.
OC. 4
OD. -4
Suppose that E and F are points on the number line.
If EF=15 and E lies at 4, where could F be located?
If there are several locations, separate them with commas.
When E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.
We are given that:
E and f are the points on a number line.
We are also given that the distance between E and F is:
EF = 15 units
Now, we know that E lies at 4
E = 4
We need to find the location of the point F
Now, since we also know that:
EF = F ± E
Substituting the values:
15 = F ± 4
We get that:
15 = F + 4 or 15 = F - 4
F = 15 - 4 or F = 15 + 4
F = 11 or F = 19
Therefore, we get that, when E = 4 on the number line, then F can either be 11 or be 19 to make EF as 15 units.
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What is (3.3 x 107) (5.2 x 108) in scientific notation?
OA 17. 16x 1015
A.
OB. 1.716x 1016
OC. 17.16x 1056
OD. 1.716x 1057
Step-by-step explanation: I hope this helps.
Answer: The answer is B.
Please answer this correctly my grade depends on it, also i have other questions like this so feel free to answer them.
The domain and range of of the graph in interval notation are [-4,3) and (-5,5).
Domain and range of a graph.The domain are the independent variables for which an expression or equation exists while the range are the dependent variables for which an expression or equation exists.
The given graph is a piecewise function since there are several lines that make up the graph.
Te domain are values of the function lying along the x-axis of the line graph while the range are values of the function along the y-axis of the line graph.
Based on the explanation, we can conclude that the domain of the graph in interval notation will be [-4,3) and the range of the graph will be (-5,5).
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find the number of stamps measured 3cm × 4cm needed to fill the square card with a side of 12cm
Answer:
Breadth of stamp=3 cm
Length of stamp=4 cm
Area of stamp = Area of rectangle = l*b = 3*4 = 12 cm^2
Side of square card = 12 cm
Area of card = Area of square = side^2 = 12^2 = 144 cm^2
No. of stamps that can be filled in card
= Area of card / Area of stamp
= 144/12
= 12
:. 12 stamps can be filled in a card of side 12 cm.
If D is the midpoint of CE¯¯¯¯¯¯¯¯, CD = x + 7, and CE = 5x - 1, determine each missing value.
x=
CD=
CE=
DE=
Answer:
5; 12; 24; 12.
Step-by-step explanation:
1) if D is midpoint, then 2*CD=CE, it means
2) 2(x+7)=5x-1; ⇔ 3x=15; ⇒ x=5;
3) CD=x+7; ⇒ CD=12;
CE=5x-1; ⇒ CE=24;
DE=CD; ⇒ DE=12.
I have 3 questions the first one is What is an algebraic expression for “10 more than the product of 9 and a number y”? And the second one is Evaluate the following expression: (10 - 3y) - 1 , if y = 3. last one is Find the Quotient: 55 -211
From these problems, we have that:
The algebraic expression is: 10 + 9y.When y = 3, the expression has a value of 0.The quotient between two numbers is the division between them(it is not clear which numbers are in the quotient).What is the equivalent algebraic expression?The product of 9 and y is given by 9y.10 more than the expression is 10 added to the expression, hence 10 + 9y.Hence the algebraic expression is: 10 + 9y.
How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
For this problem, the expression is:
(10 - 3y) - 1.
When y = 3:
(10 - 3 x 3) - 1 = 1 - 1 = 0.
What is the quotient between two amounts?The quotient between two amounts a and b is given by a divided by b. For example, the quotient between 10 and 2 is:
10/2 = 5.
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The number 27.6 is what percent of 69?
The number 27.6 is ____% of 69.
(Round to the nearest whole number, if necessary.)
Answer:
27.6 is 40% of 69.
Step-by-step explanation:
Find the derivative:
y=(1+cosx)/(1+sinx)
I NEED STEPS
[tex]y=\cfrac{1+cos(x)}{1+sin(x)}\implies \cfrac{dy}{dx}=\stackrel{\textit{\Large quotient rule }}{\cfrac{-sin(x)( ~~ 1+sin(x)~~ )-( ~~ 1+cos(x) ~~ )cos(x)}{( ~~ 1+sin(x) ~~ )^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-sin^2(x)-cos(x)-cos^2(x)}{( ~~ 1+sin(x) ~~ )^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-( ~~ sin^2(x)+cos^2(x) ~~ )}{( ~~ 1+sin(x) ~~ )^2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\LARGE \begin{array}{llll} \cfrac{dy}{dx}=\cfrac{-sin(x)-cos(x)-1}{( ~~ 1+sin(x) ~~ )^2} \end{array}}~\hfill[/tex]
A two-liter bottle contains 53.1 centiliters of oil and 7.9 deciliters of water. How much more liquid is needed to fill the bottle?
Answer: 0.679 liters
Step-by-step explanation:
A centiliter is a measure of volume equal to one hundredth of a liter
Hence,
53,1*0.01=
0.531 liters
A deciliter is a measure of volume equal to one tenth of a liter
Hence,
7.9*0.1=
0.79 liters
0.531+0.79=
1.321 liters
2-1.321=
0.679 liters
A cash register must have at least $27 in change consisting of d dimes and q quarters.
(a) Write a linear inequality that represents the different numbers of dimes and quarters that can satisfy the requirement.
(b) Graph the inequality.
The inequality 106q + 5d ≥ $27 represents the different number of dimes and quarters in the cash register.
When two numbers or other mathematical expressions are compared in an unequal way, this is known as an inequality. The number line, it is most frequently used to compare the sizes of two numbers.
The least amount a cash register have is $27.
The cash register has d dimes and q quarters.
We know a dime is worth 10 cents and a quarter is worth 25 cents.
Let x be the number of quarters and y be the number of dimes
So, the inequality that shows that the cash register has at least 27 dollars is:
xq + yd ≥ $27
106q + 5d ≥ $27
The graph of the inequality,
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Help please it’s 8th grade math
Answer:
The answer is D
Step-by-step explanation:
[tex]9^{16}[/tex] is the exponential form of the number which the expression shows. The expression is a fraction though, so it is [tex]\frac{1}{9^{16} }[/tex]
11h-5(h+3)=-63 find they value of h
Answer:
h = -13
Step-by-step explanation:
Use PEMDAS to solve this problem.
11h - 5(h + 3) = -63
~Use distributive property to simplify [ a(b + c) = ab + ac ]
11h - 5h + 15 = -63
~Combine like terms
6h + 15 = -63
~Subtract 15 to both sides
6h = -78
~Divide 6 to both sides
h = -13
Best of Luck!
Answer:
Step-by-step explanation:
11h - 5(h + 3) = -63
-Multiply parenthesis so
-5(h) + -5(3) = -5h - 15
New equation: 11h - 5h - 15= -63
+15 +15
(add 15 to both sides)
[tex]6h=-48\\\\\frac{6h}{6} =\frac{-48}{6} \\ \\ h=-8[/tex]
h = -8
A computer programmer receives a weekly wage of $1350, and &229.50 is deducted for income tax. Find the percent of the computer programmer’s salary deducted for income tax.
The percent of the computer programmer’s salary deducted for income tax is 17%.
What is percentage of a number?
A percentage is a ratio or number that can be expressed as a fraction of 100. In order to calculate a percentage of a number, we must divide it by 100 and then multiply the resulting number by 100. The proportion therefore denotes a component per 100. A percentage of one hundred is what is meant by the word "percent."
Given, weekly wage is $1350 and deduction amount for income tax is $229.50.
The percent of deduction is
[tex]\frac{229.50}{1350} \times 100\\=0.17 \times 100\\=17[/tex]
Therefore, the percent of the computer programmer’s salary deducted for income tax is 17%.
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(6,1)+(8,9)
What’s the slope
The slope of the line with the given coordinates (6,1) and (8,9) is 4.
What is the slope of the line with the given coordinates?Slope is simply expressed as change in y over the change in x.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Given the data in the question;
Point 1( 6,1 )
x₁ = 6y₁ = 1Point 2( 8,9 )
x₂ = 8y₂ = 9Plug the given x and y values into the slope formula and simplify.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Slope m = ( 9 - 1 )/( 8 - 6 )
Slope m = ( 8 )/( 2 )
Slope m = 8/2
Slope m = 4
Therefore, the slope of the line with the given coordinates (6,1) and (8,9) is 4.
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The graph of the quadratic function x2−4x−5=0 crosses the x-axis at x=−1 and x=5. What are the zeros of this function?
Answer:
x = 5, -1
find the roots and the x
HELP PLEEAAASE!!!
Use the digits 1 to 9 only once to create an equation where x has the greatest possible value. __+ x =__
Answer:
Easy. 1+x=9 sounds like the highest factor for x
To start a mobile dog-grooming service, a woman borrowed $2000. If the loan was for 2 years and the amount of interest was $168, what simple interest rate was she charged?
Step-by-step explanation:
and his did u use adding if it's adding or
anything I can help!
A function f is given, and the indicated transformations are applied to its graph (in the given order). Write the equation for the final transformed graph.
f(x) = x^2; shift 6 units to the left and reflect in the x-axis
Answer:
[tex]y=-(x+6)^2[/tex]
Step-by-step explanation:
Shifting 6 units left, we get:
[tex]x^2 \longrightarrow (x+6)^2[/tex]
Reflecting over the y-axis. we get:
[tex](x+6)^2 \longrightarrow -(x+6)^2[/tex]
So, the final equation is
[tex]y=-(x+6)^2[/tex]
What is the inverse of this function?
f(x)=√x
+ 3, x ≥ − 3
f-¹(x) =
x²-
-
for x ≤
Answer:
4, 3, 0
Step-by-step explanation:
Let f(y)=x.
[tex]x=-\frac{1}{2}\sqrt{y+3} \\ \\ -2x=\sqrt{y+3} \\ \\ 4x^2=y+3 \\ \\ y=f^{-1}(x)=\boxed{4}x^2-\boxed{3}[/tex]
The domain of the inverse is the same as the range of the original function. For the original function, we know that it is decreasing, so the range is
[tex]y\leq -\frac{1}{2}\sqrt{-3+3}=0[/tex]
and hence the domain of our inverse is
[tex]x \leq 0[/tex]
The dress store sells sweatshirts ($8) and swimsuits ($12)
Answer: 20
Step-by-step explanation:
because 8+12=20
What are these answers?
Answer:
1: 60 2: 45
Step-by-step explanation:
60, 90, 30 triangle
45 45 90 triangle
K
A rectangular garden bed measures 16 feet by 12 feet. A water faucet is located at one corner of the garden bed. A
hose will be connected to the water faucet. The hose must be long enough to reach the opposite corner of the garden
bed when stretched straight. Find the required length of hose.
The required length of the hose is in.
(Type an exact answer using radicals as needed.)
The required length of the hose is 20 feet.
Given,
a = 16 feet
b = 12 feet
c = ? (the required length of hose)
we can use the formula
c = √(a²+b²)
⇒ c = √(16²+12²) feet
= 20 feet.
The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle. Some examples of rectangular shapes are the flat surfaces of laptop monitors, blackboards, painting canvas, etc. You can use the formula of the area of a rectangle to find the space occupied by these objects. For example, let us consider a rectangle of length 4 inches and width 3 inches.
The area occupied by a rectangle within its boundary is called the area of the rectangle.
Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.
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A water hose cost 3.60 per meter. Sam buys a 4.5 m long hose. how much does sam pay?
Step-by-step explanation:
for 1m=3.60
for 4.5m
4.5(3.60)=16.30
16.40 is the cost!!!!
HELPPPPP pictures will be shown
The perimeter of quadrilateral B is 12 units.
The sides of the quadrilateral are given as:
6, 9, 9, and 12.
Shortest side = 6
Shortest side of the scaled quadrilateral = 2
So, it is reduced by a factor of 3.
So, the sides of the scaled quadrilateral will be given by:
2, 3, 3 and 4.
Perimeter will be adding all the sides.
So, we get that:
The perimeter = (2 + 3 + 3 + 4)
P = 12 units
Hence, the perimeter of quadrilateral B is 12 units.
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Please answer as soon as possible correctly
Answer: The answer will be in the explanation
Step-by-step explanation:
In step 2 she made the mistake of not dividing the 12/2 and replacing 5 with -13. In step 4 she made the mistake of removing the coefficient. The correct way to do it is this way. Look below on how to do it correctly!
(\sqrt[3]{125}-12/2)(4-6)^2
(5-12/2)(4-6)
(5-6)(4-6)^2
-1(4-6)^2
-1+4
3
Hope this helps owo