the correct option is D:
" The inverse relation must pass the vertical line test."
Which is one condition that must be present for an inverse relation to be a function?
Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.
All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.
From this we conclude that the correct option is D:
" The inverse relation must pass the vertical line test."
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What value of a makes the equation an identity? 3a(x-4) = 8x-16
We can conclude that no value of 'a' will make the equation an identity.
What exactly are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal.3x + 5 = 14, for example, is an equation in which the expressions 3x + 5 and 14 are separated by a 'equal' sign.The equation is an identity if solving it results in a true statement such as 0 = 0.So, to get 0 = 0 to make the equation an identity, we have to get such a value of a that makes the LHS 8x - 16 which will be similar to RHS 8x - 16.
If we take a = 1 then the LHS will be less than the RHS as:
3(1)(x-4) = 8x-163x - 12 ≠ 8x-16If we take a = 2 then:
3(2)(x-4) = 8x-166x - 24 ≠ 8x-16If we take a = 3 then the LHS will be greater than the RHS as:
3(3)(x-4) = 8x-169x - 36 ≠ 8x-16So, we can conclude that no value of 'a' will make the equation an identity.
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Which set of angle measures could be the measures of the interior angles of a triangle?
60°, 45°, and 70°
30°, 85°, and 25°
55°, 90°, and 35°
110", 15°, and 45°
Answer:
(c) 55°, 90°, and 35°
Step-by-step explanation:
Given lists of angle measures, you want to know which could be the interior angles of a triangle.
Angle sum theoremThe angle sum theorem tells you the sum of interior angles of a triangle is 180°. To find the angles that could be those of a triangle, check to see if their sum is 180°.
a) 60 +45 +70 = 175 ≠ 180
b) 30 +85 +25 = 140 ≠ 180
c) 55 +90 +35 = 180 . . . . . . . could form a triangle
d) 110 +15 +45 = 170 ≠ 180
The angle measures 55°, 90°, and 35° could be the interior angles of a triangle.
Will give brainliest and 50 points read the picture what is the missing number
The appropriate value in the box will be 4. This will be illustrated as 4(5x + 6)
How to calculate the value?It should be noted that an expression is used to show the relationship between the variables involved.
In this case, the appropriate value in the box will be 4. This will be illustrated as:
= 4(5x + 6)
= 20x + 24
In conclusion, the value is 4.
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1. Find the perimeter of the rectangle.
4in w 7in L
O11 in.
O22 in.
O28 in.
O56 in.
Answer:
(b) 22 in
Step-by-step explanation:
You want the perimeter of a rectangle with side lengths 4 inches and 7 inches.
PerimeterThe perimeter of a rectangle is the sum of the lengths of its sides. Your rectangle has two sides that are 4 inches, and two sides that are 7 inches. The perimeter is the sum of these lengths:
P = 4 in + 4 in + 7 in + 7 in
P = 22 in
The perimeter of the rectangle is 22 inches.
__
Additional comment
We can save a math operation by recognizing the sum can be arranged to ...
P = (4 in +7 in) +(4 in +7 in) = 2(4 in +7 in)
This is evaluated using one sum and one product, rather than the three sums we need if we simply add the lengths of the four sides.
This is why the usual formula for the perimeter of a rectangle is ...
P = 2(L +W)
In the following expression, the 2 distributes to the 3 and to the 4:
(2) (3+4) = (2) (3) + (2) (4)
true or false
Answer:
True
Step-by-step explanation:
(2) (3+4) = (2) (3) + (2) (4)
(2) (3+4)=2(7)=14
(2) (3) + (2) (4)=6+8=14
14=14 √
At a hamburger stand, a burger is $6, a drink is $3, and there is
currently a special offer for a $1 discount on every order.
Write an equation that represents the total cost C of b burgers
and d drinks.
6b+3d-1=C Sorry if I'm wrong, I forgot of Algebra 1
When a number is decreased by 10% of itself, the result is 27. What is the number? Write an equation to model the problem
Answer: [tex]x-0.1x=27[/tex]
Step-by-step explanation:
Let x be the number that gets decreased by 10% of itself.
x decreased by 10% of x is 27.
x is 100%, so 100%-10%=90%
So, 90% of x equals 27.
90% = 0.9
0.9x = 27
x = 30
geometry help me thx
Answer:
AB=5
Step-by-step explanation:
the steps are on top
50 points because why not
Answer: 50 points
Step-by-step explanation:
Write down the next two terms in these quadratic sequences:
9, 13, 19, 27, ___, ___
What is 6.9 × 10 to the power of 7 written in standard form?
Answer:
69,000,000
Step-by-step explanation:
UHhhHh 6.9 * 10^7 written in standard form is 69,000,000.
Answer:
6.9 × 10 × 10 × 10 × 10 × 10 × 10 × 10
_____________________________________________________
What is standard form?
We can think of the standard form as the most common way of representing a mathematical element, through numerical form.
Six point nine times 10 to the power of 7 is not in standard form, because the number is described using words.
Exponents are not included under standard form.
________________________________________________________
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There are 3 triangles and 15 circles. What is the simplest ratio of triangles to circles?
Answer:
1/5, 1:5, 1 to 5
Step-by-step explanation:
The ratio is 3/15, but simplest form is 1/5.
square with a perimeter of 240 inches is dilated by a scale factor of 1.5. what is the area of the dilated image of the square?
the awnser: is 960 inches
evaluate 7 to the negative 2nd power
Answer:
exact form= 1/49
and the decimal form= 0.02040816
Step-by-step explanation:
W
65
X
a-9
Find WX. Figure is not drawn to scale.
Answer:
37
Step-by-step explanation:
WX = a
XY = a-9
WY = WX + XY = 65
So we substitute values:
WY = a + a -9 OR 2a - 9
65 = 2a -9
Then we collect like terms:
2a = 65 + 9
2a = 74 (divide both sides by 2 to get a)
a = 37
Write the prime factorization of 16. Use exponents when appropriate and order the factors from least to greatest
Answer: 2⁴
Step-by-step explanation:
The factors of 16 are 1, 2, 4, 8, and 16. The prime factors of 16 as a product can be written as 2 × 2 × 2 x 2 or 2^4, where 2 is the prime number.
The graph to the right uses cylinders to
represent barrels of oil consumed by two
countries. Does the graph distort the data or
does it depict the data fairly? Why or why not?
If the graph distorts the data, construct a
graph that depicts the data fairly.
Does the graph distort the data? Why? Or Why not?
A. Yes, because 3D objects always distort the data in graphs.
B. Yes, because the graph incorrectly uses objects of volume to represent the data.
C. No, because the graph is technically correct.
D. No, because the proportions are accurate.
Answer:
C. No, because the graph is technically correct.
Step-by-step explanation:
19.8 is greater than 5.5 by a lot, so 19.8 will look much bigger than 5.5.
what is 12+12-3-3-3-3-3-3-3-3-3-3+1000000
Answer: 999994
Step-by-step explanation:
12+12=24
-3-3-3-3-3-3-3-3-3-3= -30
24-30= -6
-6 + 1000000=999994
Vector N = 3(i) +3(j) + 10 (k) and vector L is given by L = 2(j) - 13 (k). Find the y component of Z = N+L?
The y component of Z = N+L
Z=3(i)+5(j)-3(k)
Given:
N = 3(i) +3(j) + 10 (k)
L = 2(j) - 13 (k)
Z=3(i)+5(j)-3(k)
Vectors are represented by an alphabet with an arrow over it (or) by an alphabet written in bold. Vector addition can be used to combine two vectors, a and b, and the resultant vector is written as a + b. Before we can learn about the properties of vector addition, we must first understand the conditions that must be met when adding vectors. The following are the terms:
Vectors can only be added if they are of the same type. For example, acceleration should only be added with acceleration and not mass.
Vectors and scalars cannot be added together.
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What is 8112 divided by 13
Answer:624
Step-by-step explanation:
Answer:
624
Step-by-step explanation:
Mi
esson 7: Scale Drawingsons grilsɔ2:0 nozz9J
ool Down: Length of a Bus and Width of a Lakevod look
1. A scale drawing of a school bus has a scale of 1/2 inch to 5 feet. If the length of r
the school bus is 4 1/2inches on the scale drawing, what is the actual length of the bus
The length of the school bus is 45 feet.
Given, School bus has a scale of 1/2 inch to 5 feet.
Length of the school bus is 4 1/2 inches on the scale drawing.
Actual length of the bus = ?
Given scale = 1/2 inch = 5 feet
⇒ 1 inch = 1/2 inch ₊ 1/2 inch
⇒ 1 inch = 5 feet ₊ 5 feet
⇒ 1 inch = 10 feet
Length of school bus = 4 1/2 inches = 4.5 inches.
Actual length:
length of school bus = length in inches × length in feet
4.5 inches = (4.5 × 10) feet
4.5 inches = 45 feet.
Hence we get the actual length of the school bus as 45 feet.
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solve for r.
4(r+15)+4r=300
Answer:
r=30
Step-by-step explanation:
first expand:
4r+60+4r=300
8r+60=300
8r=300-60
8r=240
r=30
hope this works:)
The scatter plot shows prize money, in thousands of dollars, for a contest over eight consecutive years.
Predict the amount of prize money in year 10 of the contest.
$11,790
$20,340
$35,200
$45,900
Building a regression line from the scatter plot, it is found that the predicted prize money in year 10 of the contest is of: $11,790.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the entire set of points (x,y) given by the scatter plot in the calculator.
From the scatter plot, the points are approximated as follows:
(1, 9.5), (2,9), (3,7), (4,10), (5,11), (6, 10), (7, 10.5).
With the help of a calculator, the line of best fit to predict the amount of prize money in year x of the contest is given by:
P(x) = 0.32143x + 8.28571
To find the predicted amount in year 10, we have to find the numeric value when x = 10, hence:
P(10) = 0.32143(10) + 8.28571 = $11,500.
The closest option is $11,790, which is different from $11,500 because the coordinates of the points are approximated from the scatter plot and not exact.
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convert gallons to cups
Answer:
There are 16 cups in a gallon.
Step-by-step explanation:
Not sure what you're asking but there are 16 cups in a gallon.
ill give lots of points if you help
The simplified fraction is -2 1/4
FractionsFrom the question, we are to evaluate the given fractions
The given fraction is
[tex]-1\frac{4}{5} + (-\frac{1}{4}) + (- \frac{1}{5} )[/tex]
Evaluating the fraction
[tex]-1\frac{4}{5} + (-\frac{1}{4}) + (- \frac{1}{5} )[/tex]
First, convert the mixed fraction to an improper fraction
[tex]-\frac{9}{5} + (-\frac{1}{4}) + (- \frac{1}{5} )[/tex]
Now, clear the parentheses
[tex]-\frac{9}{5} -\frac{1}{4}- \frac{1}{5}[/tex]
Find the LCM of the denominators
The LCM is 20
Thus,
[tex]\frac{-36 - 5 - 4}{20}[/tex]
= [tex]\frac{-45}{20}[/tex]
= [tex]-2\frac{5}{20}[/tex]
= [tex]-2\frac{1}{4}[/tex]
Hence, the simplified fraction is - 2 1/4
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Luis and Jasmine are making scale drawings of the front of their school for an art contest. Luis uses the scale 3 in. to 10 ft. Jasmine uses the scale 5 in. to 20 ft. The tree in front of the school in Luis's drawing is 7.5 inches tall. How tall is the tree in Jasmine's drawing?
The height of the tree in Jasmine's scale drawing is 6.25 inches.
What is the height of the he tree in Jasmine's scale drawing?A scale drawing is a smaller version of a larger image or drawing. The scale drawing is usually reduced at a constant dimension
Scale of the drawing = original dimensions / dimensions of the scale drawing
The first step is to determine the original height of the tree:
Height of the tree from Luis' scale drawing = (7.5 x 10) / 3 = 25 ft
Height of the tree in Jasmine's scale drawing = (5 x 25) / 20 = 6.25 inches
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Determine if each conjecture is true or false. If false,
provide a counterexample.
The sum of any two consecutive prime numbers is also prime.
The product of two even numbersis always divisible by 4.
Answer:
3498
Step-by-step explanation:
An animal shelter needs to buy 6 pounds of cat food for every cat they have. Complete the following table of cats to pounds of cat food. Cats. Lbs of cat food
0
8
90
96
102
30
Answer:
An animal shelter needs to buy 6 pounds of cat food for every cat they have. Complete the following table of cats to pounds of cat food. Cats. Lbs of cat food
0
Step-by-step explanation:
Answer:
an animal shelter needs to buy 6 pound of cat food for every cat they have . The following table of cat to pounds of cat food
Step-by-step explanation:
[[(8-3)×2]+[(5×6)-5])÷5
Answer:
7
Step-by-step explanation:
=[(5)×2]+[(30)-5]÷5
=(10)+(25)÷5
=35÷5
=7
Rory has 6 lbs ground turkey to make meatballs.he uses 5/8 lb