Answer:
1. Axiom
Appropriate definition: An elementary mathematical truth that is assumed self-evident and not in need of proof (a).
2. Corollary
Appropriate definition: A theorem that is an immediate consequence (and perhaps special case) of another theorem (b).
3. Contradiction
Appropriate definition: A proposition that is always false (c).
4. Tautology
Appropriate definition: A proposition that is always true (d).
5. Theorem
Appropriate definition: An important true mathematical statements (e).
6. Lemma
Appropriate definition: A theorem that is needed as a stepping stone to prove a greater theorem (f).
Complete the statement for the equation y=-1/2x-1/2.
Enter the correct answer in the box.
The graph crosses the y-axis at (0,?)
9514 1404 393
Answer:
-1/2
Step-by-step explanation:
The constant in the equation is the value that y has when x=0, because the x-term evaluates to zero when x=0. The constant term in this equation is -1/2, so that is the y-value when x=0.
(x, y) = (0, -1/2) . . . . where the graph crosses the y-axis
-4x+9y=9
x-3y=-6
Solve using Elimination
Answer:
Step-by-step explanation:
Multiply the first equation by 4,and multiply the second equation by 1.
4(x−3y=−6)
1(−4x+9y=9)
Becomes:
4x−12y=−24
−4x+9y=9
Add these equations to eliminate x:
−3y=−15
Then solve−3y=−15for y:
−3y=−15 (Divide both sides by -3)
y=5
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
x−3y=−6
Substitute5foryinx−3y=−6:
x−(3)(5)=−6
x−15=−6(Simplify both sides of the equation)
x−15+15=−6+15(Add 15 to both sides)
x=9
Jennifer serves the volleyball to Deb with an upward velocity of 10.5ft/s. the ball is 5 feet above the ground when she strikes it. how long does debra have to react before the volleyball hits the ground
Answer:
Step-by-step explanation:
ddsfaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafewwwaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefgtssssssssssssssssssccccccccccccccccccfgre
frstgsrgr
grgrgtegehhaaaaaaaaa
Please Help!! ASAP thank you
Answer:
(-4,-6)
Step-by-step explanation:
7TH GRADE MATH IF YOU HELP ILL GIVE BRANLIEST AND 10 POINT//PROBABILITY
Answer:
1. 1 in 5
2. There are 5 colors it could land on, and orange is one of them.
3. 40 different combinations
4. There are 5 colors with 8 corresponding numbers. 5x8=40
Step-by-step explanation:
1) 20%
2) Assuming that on the spinner with color, every section has an equal share, then the probability of landing on orange is [tex]\frac{1}{5}[/tex] or 20%. This is because, the orange section is one of the five equal sections, or [tex]\frac{1}{5}[/tex] or the spinner. [tex]\frac{1}{5}[/tex] in decimal form is 0.2, to convert to a percent, multiply by 100. Hence one gets, 20%.
3) 40
4) There are 5 sections on the spinner with color, hence 5 possible outcomes when one spins the spinner. On the black and white spinner, there are 8 sections, hence 8 possible outcomes when one spins the spinner. To find the total number of outcomes resulting from the two events, one must multiply the total outcomes from one event by the total outcome of the other event. When one does this, they get that there are 40 possible events.
Grandma's Recipe for Sugar Cookies
1 cups kutter
2 cups sugar
4 eggs
12 teaspoon baking powder
1% cups flour
4 teaspoon salt
Your sister wants to make more cookies and decides to use 4 cups of sugar. She says that she
will need to use 3 1/4 cups of flour. Do you agree with her? Explain your reasoning.
Answer:
I agree
Step-by-step explanation:
The sugar sweetens the cookies and also because it's a sugar cookie the sugar content should be a little bit more. And when the flour is too much it makes the cookie bumpy because of its dry content. The sugar should be more to give the cookie its expected taste
See the picture of the question
Answer:
(1, 3)
(2, 6)
(4, 12)
(6, 18)
Step-by-step explanation:
Time represents s, or the x value when plotting (x, y) and distance represent m or the y value when plotting.
For the first one, plot it at (1, 3), so look where time is, the horizontal line, and find one. Then from there, go up three places. That is where you will plot your first point.
The second one will be plotted at (2, 6). Find two on the horizontal line, and then go up six spaces. That is where you will plot your second.
Do the same thing for the last two. You should plot your points at:
(1, 3)
(2, 6)
(4, 12)
(6, 18)
Answer:
1,3 2,6 4,12 6,18
Step-by-step explanation:
A box has length 7 feet width 4 feet and height 5 inches find the volume of the box in cubic feet and in cubic inches
Answer:
20160in3
Step-by-step explanation:
1.) Convert all measurements to inches
7ft = 84in
4ft = 48in
5in = 5in
2.) Multiply all of the values to find the volume
84in x 48in x 5in = 20160in3
One person earns $53,000 per year. Another person earns $3700 per month how much more does the first person earn in a year than the second
Solve the equation and check your solution. (If an answer does not exist, enter DNE. If all real numbers are solutions, enter REALS.)
2 − 4x = 34
Answer:
x= -8
Step-by-step explanation:
2-4x=34
-4x=32
x=-8
Find slope. plzz help me
Hello!
[tex]\large\boxed{slope = 2}[/tex]
Find the slope using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
We can use two points from the table and plug these into the equation. Use the points (5, 10) and (10, 20) to solve:
[tex]slope = \frac{20 - 10}{10 - 5}[/tex]
Simplify:
[tex]slope = \frac{10}{5}[/tex]
[tex]slope = 2[/tex]
In the graph of an inequality, the region below a dashed horizontal line through the point (4,1) is shaded. What inequality does the graph
represent?
cy1
D.X4
Answer:
Step-by-step explanation:
D
The graph represents the inequality y < 1.
Option B is the correct answer.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
The horizontal line through the point (4, 1).
This horizontal line passes through y = 1.
The region below this horizontal line will be y < 1.
Thus,
The graph represents y < 1.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
The base of a pyramid is a square whose perimeter is 836m. What is the length of each side of this square
What's equivalent to 4(y – 3)
Answer:
that's
Step-by-step explanation:
+4y -12 thank you
Answer:
see below
Step-by-step explanation:
4y -12 hope it helps u
A single die is rolled twice find the probability of rolling a 1 the first time and a 6 the second time.
A child's ticket for the aquarium is 0.45 times the cost of an adult's ticket. An adult ticket costs $13.00. Mr. and Mrs. Lewis took their two children to the aquarium. How much did the Lewis family spend to enter the museum? help?
Draw a number line . Locate each integer on the number line.
- 5
2
0
-4
3
PLEASE HELP DUE IN 15 MIN!!!!!
solve for x in simplest form 10=3/5(x+5)
Answer:
x = 35/3
or
x = 11.6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Step-by-step explanation:
Suppose f(x) = 3x + 5. Describe how the graph of g(x) = f(x) + 12 compares to f
Answer:12
Step-by-step explanation:
i know
Answer:
Given
f(x) = 3x + 5The graph g(x) = f(x) + 12 is:
g(x) = 3x + 5 + 12 = 3x + 17This function is translation up of f(x) by 12 units
g(x) has y-intercept greater than f(x) by 12 units
The equation above can be used to calculate the volume V, of a cone with a height h and radius r.
If the volume of a cone is 243πft3, and the height is equal to the radius of the base, what is the height of the cone in feet?
Select one:
A. 6
B. 9
C. 16
D. 13
Answer:
9
Step-by-step explanation:
i just did it
What is the prime factorization of 420?
we have the factors 2 x 2 x 3 x 5 x 7 = 420. It can also be written in exponential form as 22 x 31 x 51 x 71.
Step-by-step explanation:
Answer:The prime factors are 2 x 2 x 3 x 5 x 7 .
Step-by-step explanation:
6x+3(-2+4) when x=-2
Answer:
-8
Step-by-step explanation:
Calculate the slope of the line.
Answer:
Slope is -2/5
Step-by-step explanation:
here, (x1,y1)=(-5,5) and (x2,y2)=(5,1)
then,using formula
y2-y1
= ---------
x2-x1
1-5
= --------
5+5
-4
= --------
10
-2
= ----------
5
Javier teaches yoga classes at his community center. In a 60-minute class last night, he taught 30 poses. Today, he has a 30-minute class.
If he teaches at the same rate, how many poses will Javier teach in today's class?
Answer:
I'm guessing 15 poses because 30/60 half and 15/30 half so basically in the 60 minute lesson Javier spend 1 minute teaching them how do to each pose, so in the 30 minute lesson he'll spend 1 minute on the other poses.
Step-by-step explanation:
this was a little confusing and sorry if i dont make since
Answer:a minute !!!!!
Step-by-step explanation:
Please help me with this one
Answer:
the first one 2x -2
Step-by-step explanation:
f(x) = 3x^2 + 4x - 6
g(x) = 6x^3– 5x^2 - 2
Find (f +g)(x).
Answer:
(f+g)(x)=6x^3-2x^2+4x-8
I'm sorry if I'm wrong!!
3/4 + 3/8 how do I do this I messed the last one up
Answer:
1 1/8
Step-by-step explanation:
We need to add the fractions; 3/4 and 3/8
Step 1, get the LCM of 4 and 8. The LCM of 4 and 8 is 8
Step 2, 3/4 + 3/8 = 6 + 3/8 = 9/8 = 1 1/8
Hence, 3/4 + 3/8 = 1 1/8
In September Gill paid £62 for her electricity.
In October she will pay 15% more for her electricity.
Work out how much Gill will pay for her electricity in October.
71.3 UK£
Step-by-step explanation:
Can the following question be represented by 1/2 x5?
Jada has 5 bottles that each contain 1/2 liter of water.how many liters of water is that total??
Answer: yes i think
Step-by-step explanation:
What is 3785 divided by 30?