Given that x is a nonnegative number, a student conjectured that x + 3 < x2.
Which value of x is a counterexample to the student's conjecture?
A: x= -1/3
B: x= -3
C: x= 2
D: 3
Answer:
C (x = 2)
Step-by-step explanation:
Since x is a non-negative number, A and B are eliminated.
This leaves C and D.
C: x = 2,
2 + 3 < 2^2
5 < 4 is false.
So C would be a counterexample.
Hope this helps!
The value of x is a counterexample to the student's conjecture (x = 2). The correct option is C.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that x is a non-negative number, a student conjectured that x + 3 < x².
Since x is a non-negative number, A and B are eliminated.
This leaves C and D at the value of x = 2,
2 + 3 < 2²
5 < 4 is false.
Therefore, the value of x is a counterexample to the student's conjecture (x = 2). The correct option is C.
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I will mark brainliest. I need to write a proof for given: <1=<5 prove n||p I completely forgot how to do this and have attached a picture
Answer:
<1 = <5 ( because it is a corresponding angle and corresponding angles are always equal )
hope this answer will help you
have a great time
Answer:
The corresponding angles
Step-by-step explanation:
A proof for angle1=angle5
<1=<5
this rule is called
The corresponding angles
when 2 lines are crossed by another line this line is called transversal
when 2 lines are both parallel corresponding angles are congruent.
If two corresponding angles are congruent, then the two lines cut by the transversal must be parallel. Meaning If <1=<5 then, n||p
I put out a pdf to help you out
Brainliest please.
Please help me with this math problem ASAP!!
Let's list what we know.
We know 6 + d is the same as 21
We can use this.
6+d=21
Subtract 6 from both sides
d=15
So d=15
Answer:
21-6=15
Step-by-step explanation:
That helps weigh it down
Lenny's goal is to run a total of 18 miles in 4 days the table shows his log for the number of miles he ran on Monday ,Tuesday,Wednesday .how many miles must Lenny run on Thursday to reach his goal?
Answer:
12
Step-by-step explanation:
A manufacturing plant makes belts for appliances. On Wednesday, they produced belts with diameters 1 3/2 in., 7/16 in., 3/4 in., 5/8 in., and 1 5/16 in. Drag the fractions to order them from least to greatest.
Answer:
[tex]\frac{7}{16}[/tex] in., [tex]\frac{5}{8}[/tex] in., [tex]\frac{3}{4}[/tex] in., 1[tex]\frac{5}{16}[/tex] in., 1[tex]\frac{3}{2}[/tex] in.
Step-by-step explanation:
Diameters of the belt produced are given in fractions which can be converted to decimals to know their values.
Thus,
1 3/2 in. = [tex]\frac{5}{2}[/tex] in. = 2.5 in.
7/16 in. = 0.4375 in.
3/4 in. = 0.75 in.
5/8 in. = 0.625 in.
1 5/16 in. = [tex]\frac{21}{16}[/tex] in. = 1.3125 in.
Arranging the vales from least to greatest, we have;
0.4375 in., 0.625 in.,0.75 in., 1.3125 in., 2.5 in. = [tex]\frac{7}{16}[/tex] in., [tex]\frac{5}{8}[/tex] in., [tex]\frac{3}{4}[/tex] in., 1[tex]\frac{5}{16}[/tex] in., 1[tex]\frac{3}{2}[/tex] in.
help me pls pls pla pls
Answer:
its a and d
Step-by-step explanation:
70+4+.05+.002
X2+ Y2 - 6x + 8y - 7 = 0
Answer:
X 2 + Y 2 − 6 x + 8 y = 7
Step-by-step explanation:
The sum of two consecutive odd integers is 20 less than four times the smaller of the two integers. Which the following equations could be used to find the smaller integer,n?
what is the equation to solve it
actually answer
Answer:
consecutive = x+x+2
x+x+2 = 4x-20
2x+2=4x-20
2=2x-20
22=2x
x=11
Numbers are 11,13.
Hope this helps plz hit the crown :D
what’s the equation and what is the slope?
Answer:
Slope is given by the equation y=mx+b,
Step-by-step explanation:
In a school election, Jared received 76 votes, which was 40% of the total number of votes cast. What was the total number of votes cast?
0.5 (c+7)= -1.5 Please help
I just need to no the answer asapp
Answer:
step 2
Step-by-step explanation:
Mark didnt do 5×5
the ratio of 82 and 73
Answer: 82:73
Step-by-step explanation:
To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2. Do you see that these ratios both represent the same comparison?
find the value of -24/35÷-8/15
Answer:
9/7
Step-by-step explanation:
-24/35 ÷ -8/15
=-24/35 × -15/8
=9/7
Answer:
9/7
Step-by-step explanation:
when dividing with a fraction, the -8/15 reciprocates to 15/-8. Then, -8 cancels out -24 remaining with 3 since they are both negative while 15 and 35 have a common of 5 giving them a remainder of 3 and 7 respectively. you then multiply what you have which is 3/7 * 3/1 giving you 9/7.
What is the solution set for 4x - (x + 1) < 5x - 7 ?
A. x < -6
B. x < -8
C. x > 4
D. x > 3
4x - (x + 1) < 5x - 7
4x - x - 1) < 5x - 7
3x - 5x < -7 + 1
-2x < -6
2x > 6
x > 3
Jasmine bought 3 slices of cheese pizza and 2 slices of pepperoni pizza for a total cost of $11.75. Keegan bought 2 slices of cheese pizza and 1 slice of pepperoni pizza for a total cost of $7.00.
Part A
Write a system of equations to represent the scenario, using x for cheese pizza and y for perpperoni pizza.
Answer:
Step-by-step explanation:
11.75 is x and 7.00 is y so the total should be $18.75 so there you go your answer
Answer:
erer
Step-by-step explanation:
rerrrrrr
HELP PLS LOL , USE THE TABLE TO WORK OUT THE VALUES OF A , B , C & D
If I have an acid with a pH of 5 and an acid with a pH of 3 which is stronger and by how much? 5, by 10 times
3, by 100 times
3, by 10 times
Answer:
3, by 100 times
Step-by-step explanation:
a pH of 3 is ten times more acidic than a pH of 4. Likewise, a pH of 3 is one hundred times more acidic than a pH of 5.
What is the value of p so that the expression 6x+3−(8x−5) is equivalent to (px+8) ?
Can Someone plz help me with this question?
I will mark brainliest
simplify (3+4i)-(4-2i)
Answer:
-1 + 6i
Step-by-step explanation:
Complex number addition & subtraction:Subtract/add the imaginary parts and then add real parts.
Open the parenthesis by multiplying the each term of 4 - 2i by (-1)
3 + 4i - (4 - 2i) = 3 + 4i - 4 + 2i
= 3 - 4 + 4i + 2i
= -1 + 6i
I need help with this question please and thank you
Answer:
13 cups
Step-by-step explanation:
1.5 pint= 3 cups
8 fluid ounces = 1 cup
4 bottles of milk with 1.5 pint each= 3x 4= 12 cup
8 fluid ounces of strawberry syrup= 1 cup
12+1=13 cups
Solve: 3(-4.- 4x) > 6
What is the equation of the line in slope-intercept form.
Please help!!! I’ll mark brainlist and 5 stars!!
how do i factorize x2+14x+49
Answer:
(x + 7) (x + 7)
Step-by-step explanation:
What's the square root of x^2?
That's x
What's the square root of 49
That's 7
And what makes 14?
7 + 7 = 14
So therefore the answer is (x + 7) (x + 7)
Easy Kevin Durant is so smart!
Answer:
The middle number is 14 and the last number is 49.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 14
Multiply together to get 49
Can you think of the two numbers?
Try 7 and 7:
7+7 = 14
7*7 = 49
Fill in the blanks in
(x+_)(x+_)
with 7 and 7 to get...
(x+7)(x+7)
Answer:
(x+7)(x+7)
please help if i get this wrong one more time i will fail and plese help
Using proportions, the amount of acres that each children will be is given by:
9 and 4/5 acres.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem 49 acres will be split evenly across 5 children, hence the amount that each will get is:
A = 49/5.
The quotient of 49 and 5 is of 9 with a remainder of 4, hence as a mixed number, the amount is:
9 and 4/5 acres.
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The cost to rent a paddle boat at the county park is $8 per hour plus a nonrefundable deposit of $10. The cost can be modeled by the function f(h) = 8h + 10, where
h represents the number of hours the boat is rented. Describe the graph of g(h) as it relates
to f(h) if the nonrefundable deposit increases to $15.
When the non-refundable fee increases to $15, the y-intercept is also increased to 15. The graph are parallel to each other but only touches the y-axis at 10 and 15 respectively
Linear EquationLinear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.
Linear equations are generally represented in the form
y = mx + c
c = y-interceptm = slopeThe y-intercept is the point at which the graph touches the y - axis
In the question, we are given an equation f(h) = 8h + 10
The slope and y - intercept here are 8 and 10 respectively.
However, when the non-refundable deposit is increased to 15, the y - intercept is increase by 5 units to becomes 15.
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Question is below (wasn't sure about the answer)
Answer: Choice A)
[tex]H = \frac{SA}{2(L+W)} - \frac{LW}{L+W}\\\\[/tex]
=================================================
Work Shown:
[tex]SA = 2(LW + LH + HW)\\\\2(LW + LH + HW) = SA\\\\LW + LH + HW = \frac{SA}{2}\\\\LH + HW = \frac{SA}{2} - LW\\\\H(L + W) = \frac{SA}{2} - LW\\\\H = \frac{\frac{SA}{2} - LW}{(L + W)}\\\\H = \frac{SA}{2(L+W)} - \frac{LW}{L+W}\\\\[/tex]
This is not the only way to solve for H.
What is the length of NM?
Answer:
See below :)
Step-by-step explanation:
We know that these traingles are all similar. We can see the angle NMK is 60 degrees so we also know that JNK is 60 degrees. Now we know that all of the triangles are 30-60-90 triangles. JN is 3, so from the "leg opposite to 30 degree theorem", we know that NK is two times JN which is 6. Then from the same theorem, we know that NM is NK divided by the square root of 3
[tex]\frac{6}{\sqrt3}[/tex]
We can't have fractions that have irrational numbers in the denominator of a fraction so we multiply it by root3 over root3
[tex]\frac{6}{\sqrt3}[/tex] * [tex]\frac{\sqrt3}{\sqrt3}[/tex]
This then makes it 6 times root 3 over 3
[tex]\frac{6\sqrt3}{3}[/tex]
We then get [tex]2\sqrt{3}[/tex]