Answer:
true
Step-by-step explanation:
hard to explain,
hope it helps
It is true that when f(x) = g(x), the system of the equation is solved.
A statement to justify that A system of equations is solved by finding the intersections of when f(x) = g(x).
The equation is the relationship between variables as is an example of a polynomial equation.
Let, f(x) = ax+ by - - - - ( 1 )
g(x) = cx + dy - - - - -( 2 )
Both equations contribute to systems of equation.
When solving both equations ( 1 ) and ( 2 ).
We get values of x and y this x and y when put in the equation ( 1 ) and ( 2 ) we will get the same result and the result implies f(x) = g(x). So, it is true that when the system of equation is solved by intersections f(x) = g(x).
Thus, It is true that when f(x) = g(x), the system of the equation is solved.
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Which of the following are perfect squares? Check all that apply.
A.) 16
B.) 64
C.) 15
D.) 49
E.) 11
F.) 62
Answer:
The answers are A, B and D
identify the parts of the expression then write a word expression for the numerical or algebraic expression.
Please explain and only answer if you are completly sure about your answer.
Due in 20 minutes!!!!
Answer:
the answer is-
Step-by-step explanation:
b added to 12 times x.
the plus sign is given for addition and 12x is equivalent to 12×x or 12 timesc
Use the discriminant to determine the number of real solutions to the quadratic equation. −u2+2u−5=0 What is the number of real solutions? Select the correct answer below: 0 1 2
Answer: None, 0 real roots
Step-by-step explanation:
To find the discriminant, you simply do [tex]b^2 - 4ac[/tex]
b = 2
a = -1
c = -5
[tex]2^2-4(-1)(-5) = 4 - 20 = -16[/tex]
iff x > 0: 2 roots
iff x < 0: none
iff x = 0: 1 root
Actual Explanation and Intuition behind it:
If the answer is negative, you cant take the square root of the number. Because no matter what, you will always strive for a positive number. Unless you implement calculus, but that is way beyond a middle schoolers level
If the answer is postive, there will be 2 roots because you can make x itself equal to a negative number because when you square it, it will be positive. So the positive and negative value will be an acceptable answer
If the answer is 0, then youre basically doing the square root of 0. Thats equal to 0
The discriminant formula itself comes straight from the quadratic formula, which you should memorize because it is extremely useful.[tex]\frac{-b (+/-) \sqrt{b^2-4ac} }{2a}[/tex]
10. A cliff on the seashore is eroding at the rate of 17 centimeters per year. Write and solve an equation to find the number of
years in which the cliff will erode 85 centimeters.
Answer:
The number of years in which the cliff will erode 85 centimeters are:
5 years.Step-by-step explanation:
To solve the question in the text, you must create a formula that includes the rate (17 centimeters per year) and a variable representing the time (t), how I show below:
f(t) = 17tWhere:
t = time in yearsRemember that where are not symbols between two numbers o variables, it means you must multiply (17t actually is 17 * t). Now you only must replace t by years 1 per 1 until obtain the value of 85 (the eroding wanted):
f(1) = 17(1) = 17 f(2) = 17(2) = 34 f(3) = 17(3) = 51 f(4) = 17(4) = 68 f(5) = 17(5) = 85How you can see, when the time is equal to 5, the f(t) or the eroding is 85, the value we wanted.
how to find an unknown angle in a quadrilateral
Evaluate the following expression.
(5x)"
1
Answer:
1
Step-by-step explanation:
Anything to the power of zero is one
Which expression is equal to (−3x2−2)(4x2+1)? −12x4−11x2−2 −12x4−5x2−2 −12x2−11x−2 12x4−11x2−2
Answer:
[tex]-12x^4-11x^2-2[/tex]
Explanation:
Step 1 - Expand
[tex](-3x^2-2)(4x^2+1)[/tex]
[tex]-12x^4-3x^2-8x^2-2[/tex]
Step 2 - Combine like terms
[tex]-12x^4-3x^2-8x^2-2[/tex]
[tex]-12x^4-11x^2-2[/tex]
Therefore, the expression that is equal to [tex](-3x^2-2)(4x^2+1)[/tex] is [tex]-12x^4-11x^2-2[/tex].
Answer:
On Edge, the answer is D. 31x2 – 2.
i) A fish tank measures 1m long by 40cm wide and 60cm height.
What is the capacity of the fish tank?
ii) How many litres of water does it take to fill it three quarters full ?
Answer:
1. The capacity of the water tank = 240 litres
2. So it will take 180 litres to fill it three quarters full.
Step-by-step explanation:
Dimensions of a water tank:
1 Meter=100 CM
Length (l) = 100 cm,
wide (w) = 40 cm,
Depth (h)= 60 cm,
Volume of the tank (V)
LWH
100 cm × 40 cm × 60 cm
240,000 cm³
The capacity of the water tank = 240,000 cm³ / 240 litres
(240,000*3)/4 = 180,000 cm3
So it will take 180 litres to fill it three quarters full.
=)))))))))))))))))))))))))
Answer:
c
Step-by-step explanation:
-10x is less than or equal to 40
x is greater than or equal to -4
flip the signs when you divide by a negative #
The line y=15x Intersex the quadratic function y=15x^2 at two points. what are the coordinates of the two points of intersection?
Answer:
D
Step-by-step explanation:
we can set up the equation as 15x = 15x^2
factoring we get
15x(x-1) = 0
So the solutions are when x are 0 and 1
this gives the coordinates
(0,0) and (1,15)
7. Bud and his friends stopped at a local fast food restaurant after the football game Friday night. Bud ate a one-fourth pound cheeseburger and a large order of fries. The cheese
30 grams of total fat. If the recommended daily allowance of total fat for a 2,000 calorie diet is 64 grams, what percent of the daily allowance did Bud have when he ate the cheeseburger
Answer:
46.875 %
Step-by-step explanation:
30 grams of fat out of 64 grams
30/64 =.46875
Change to percent form
46.875 %
Answer:46.875
Step-by-step explanation:
a circle has a circumfence of 3.14 units what is the diameter of this circle ?
Answer:
Step-by-step explanation:
question in attachment
Answer:
a₁ = 3
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Here [tex]S_{6}[/tex] = 189 and r = 2, thus
[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is
a₁( 64 - 1) = 189
63a₁ = 189 ( divide both sides by 63 )
a₁ = 3
Question 4(Multiple Choice Worth 1 points)
(06.04 MC)
A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters:
(x − 4)(3x − 1)
Which of the following simplified expressions represents the area of the floor of the conference room in square meters?
x2 − 13x + 4
3x2 − 13x + 4
3x2 − 11x + 4
x2 − 12x + 4
Answer:
[tex]3x^2-13x+4[/tex]
Step-by-step explanation:
[tex](x - 4)(3x - 1)[/tex]
[tex]3x^2-1x-12x+4[/tex]
[tex]3x^2-13x+4[/tex]
Inductive reasoning is when someone uses lots of data to make a conjecture
A. True
B. False
Please answer this I need help now
The answer to that question is true.
We have given that,
Inductive reasoning is when someone uses lots of data to make a conjecture.
What is the Inductive?Inductive is most often used to describe a kind of reasoning or logic where general theories are formed from specific examples or incidents.
We have to determine whether the statement is true or false.
The answer to that question is true.
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Which word describes the slope of the line?
O positive
O negative
O zero
O undefined
Answer:
positive
Step-by-step explanation:
the line is tilting up (you read it from left to right)
The slope of the line is, O positive.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
from the given graph,
we get,
the straight line is in the positive direction.
Hence, The slope of the line is, O positive.
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Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem?
The three consecutive odd integers : 7, 9, 11
Further explanation
Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.
The main composition of algebraic expressions are:
• 1. phrases
algebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
• 2. variable
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
• 3. constants
is a fixed value, can be a number
• 4. arithmetic operations
+ , - , : , x
integer number: numbers consist of positive, negative and 0 numbers
Odd number: Any integer that cannot be divided by 2.
The last digit is 1, 3, 5, 7 or 9
Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers
Then consecutive odd numbers can be symbolized:
x, x + 2, x + 4, x + 6, x + 8, etc.
For example, 3 consecutive odd numbers are:
x + 4, x + 6, x + 8
the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:
(x + 8) + 2 (x + 4) = 25
So the solution:
x + 8 + 2x + 8 = 25
3x + 16 = 25
3x = 9
x = 3
So the smallest number is:
= x + 4
= 3 + 4
= 7
or
Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.
Answer:
The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
Step-by-step explanation:
The problem asks to use x to represent the smallest of the three integers.
Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.
Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.
The three odd integers are
x, x + 2, x + 4
The problem then states "the sum of the largest and twice the smallest is 25."
The largest one is x + 4.
Twice the smallest is 2x.
Their sum is 2x + x + 4.
That sum equals 25.
2x + x + 4 = 25
3x + 4 = 25
3x = 21
x = 7
The smallest integer is 7.
Then x + 2 = 7 + 2 = 9,
and x + 4 = 7 + 4 = 11.
Answer: The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
Determine the value of x in the figure. answers: A) x = 9 B) x = 6 C) x = 4.5 D) x = 3
Answer:
D
Step-by-step explanation:
The marks through each of the sides of the triangle denote that all of the side lengths of the triangle are equal, or that it is an equilateral triangle. Therefore:
7x+9=x+27
6x+9=27
6x=18
x=3
Therefore, the correct answer is choice D. Hope this helps!
Answer:
x=3
Step-by-step explanation:
The sides are the same length
x+27 = 7x+9
Subtract x from each side
x+27-x = 7x-x+9
27 = 6x+9
Subtract 9 from each side
27-9 = 6x
18 = 6x
Divide by 6
18/6 = 6x/6
3 =x
Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 8
A. log(3)
B. log 4
Chloe. log(2) + log(3)
D. log 2
SUBMIT
Answer:
none is equivalent. all are wrong
The radius of a circle is 7m. Find the circumference to the nearest tenth(urgent)
Answer:
The circumference of the circle is 43.96m. This number rounded to the nearest tenth would make the circumference 44m.
Step-by-step explanation:
First, we must know the formula for finding the circumference of a circle.
[tex]Circumference = d\pi[/tex]
We are given the radius. In order to find the diameter, then we have to multiply the radius by 2 because the radius is half the size of the diameter.
7 * 2 = 14
Now, let's plug in 14 into our formula. We will 3.14 for pi.
[tex]Circumference=(14)\pi[/tex]
[tex]Circumference=43.96[/tex]
This number rounded to the nearest tenth is 44.
Answer:
Answer is 44 m
Answer is rounded to the nearest tenth place.
Step-by-step explanation:
[tex]given \: that \\ radius \: of \: circle \: (r) = 7 \: m \\ we \: know \: that \\ circumference \: = 2\pi \: r \\ on \: substituting \: r = 7 \: m \: in \: formula \\ we \: get \\ circumference \: = 2\pi \times 7 \\ = 14\pi \\ substitute \: \pi = \frac{22}{7} \\ = 14 \times \frac{22}{7} \\ = 2 \times 22 \\ = 44 \: m \\ answer \: is \: rounded \: to \: nearest \: tenth.[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Which number line best shows the position of 113?
13
+
+
+
+
-3
-4
-2
-1
0
1
2
3
4.
13
a
+
+
+
+
1
+
2
-4
-3
-2
-1
0
2
3
4
113
++
+
-4
-3
-2
-1
0
1
2
3
4
13
+
-5
-3
-2
-1
0
1
2.
3
4
5
What is the probability that a single card chosen from a complete deck of cards is not an ace or a King? ( with explanation )
Answer:
84.6%
Step-by-step explanation:
There ae 52 cards in a standard deck there are 4 aces and 4 kings in each deck
therefore
52-8 =44, 44 cards that are not kings or aces
therefore the probability is
44/52 = 0.846153846*100 = 84.615%
There the chances are 44/52 or 84.6%
Answer:
11/13 or 84.62%
Step-by-step explanation:
There are 52 cards in a standard deck. There are 4 aces and 4 kings, 8 total. Subtract 8 from 52 to find the amount of cards that are not aces or kings:
52 - 8 = 44
Therefore, the probability of choosing a card that is not an ace or a king is 44/52, which can be simplified to 11/13. This can also be expressed as a percentage: approximately 84.62%.
Hope this helps! Please feel free to ask me any questions :)
Simplify.
(3.8w+ 4) – 1.5w+8
2.3 w+ 12
5.3 w+ 12
2.3 w-12
5.3 w-12
Answer:
2.3w +12
Step-by-step explanation:
(3.8w+ 4) – 1.5w+8
Combine like terms
3.8w-1.5w +4+8
2.3w +12
Answer:
2.3w+12
Step-by-step explanation:
Parentheses do not matter for this question.
(3.8w+ 4)–1.5w+8=
3.8w+4-1.5w+8=
Subtract 1.5w from 3.8w
2.3w+4+8=
Add 4 and 8 together
2.3w+12
The random numbers below represent 15 trials of a basketball simulation conducted using a spinner numbered 0–8. 76645, 46757, 28334, 81357, 52453, 21761, 51537, 62385, 62135, 16687, 41662, 27135, 45445, 33858, 86427 Let the number 1 represent a 3-point basket and the numbers 2–8 represent 2-point baskets. Based on the simulation, what is the probability that at least one of the next 5 baskets made by the team is a 3-pointer? A. 6/15 B. 8/15 C. 5/15 D. 7/15
Answer: Option D.
Step-by-step explanation:
Out of the 15 simulations, the number with a 1 in them is 7. (are the sets of 5 shots that have at least one 3-pointer)
So out of 15 sets, 7 of them have at least one 3-point in them.
the experimental probability is p = 7/15.
So the correct option is D.
ESTIMATED AND EXACT ANSWERS. Find the answers to these division problems. Use
compatible numbers to check your answer's accuracy. Look back to Lesson Three if you need
help with compatible numbers. (2 points each)
10. 903.6 - 25.1
Exact Answer:
Estimate:
11. 760.38 +0.38
Exact Answer:
Estimate:
Answer
10) 36
11)2001
Step-by-step explanation:
Answer:
10. 36 (exact answer), 30 or 30.16 (estimated answer).
11. 2001 (exact answer), Undefined, or 1900 (estimated answer).
Step-by-step explanation:
For number 10, the exact answer is 36 and the estimated is 30 or 30.16. Why?
-To have the exact answer we have to divide 903.6 ÷ 25.1 = 36.
-To have the estimated answer we have to round 903.6 and 25.1, as 903.6 is close to 900 and not 1,000, and 25.1 is close to 30 and not to 20. The equation is 900 ÷ 30 = 30.
-To make sure that the exact answer is correct, we have to multiple 25.1 and 36 = 903.6.
-To make sure that the estimated answer is correct, we have to multiple 30 and 30 = 900.
-But there's a problem, they can be two answers for the estimated answer 1). 30, and 2). 36.16. Process: 904 ÷ 25 = 36.16. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.
For number 11, the exact answer is 2001 the estimated is 1900 or Undefined. Why?
-To have the exact answer we have to divide 760.38 ÷ 0.38 = 2001.
-To have the estimated answer for the undefined we have to round 760.38 and 0.38, as 760.38 is close to 800 and not to 700, and 0.38 is close to 0 (0.00) and not to 1 (1.00). The equation is 800 ÷ 0.00 = Undefined.
-To make sure that the exact answer is correct, we have to multiple 2001 and 0.38 = 760.38.
-But there's a problem, they can be two answers for the estimated answer 1). Undefined, and 2). 19. Process: 760 ÷ 0.40 = 1900. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.
You are making bracelets to sell. Each bracelet has two different colors of
beads. You have blue, silver, black, and purple beads. Which of these
strategies would you be most likely to use in planning the different bracelets
you can sell?
A. Find a pattern.
B. Guess and check.
C. Work backward.
D. Make a list.
Answer:
D. Make a list
Step-by-step explanation:
Answer:
D. Make a list
Step-by-step explanation:
You can tell that this is the correct answer just by the wording. First, guess and check doesn't make sense as a strategy by which to plan which bracelets you can sell. Neither does working backwards. Finding a pattern doesn't apply to this sort of thing. So therefore, the answer is make a list.
A right triangle has a base equal to 13 inches and a height equal to 18 inches. Find the area of the triangle. Type a
numerical answer in the space provided. Do not include units or spaces in your answers,
Answer:
117
Step-by-step explanation:
area of a triangle= 1/2 bxh
13x18=234
divide by 2=117
Answer:
117 is the Answer
Step-by-step explanation: hope this helps!
Here is a number machine. Write down an expression for the output if the imput is n. input=n) (+2) (x3) (output=?
Answer:
3n+6
Hope this helps you
Answer:
3n+6
Step-by-step explanation:
Which ordered pair lies on the function f(x) = x^2 + 3?
Question 7 options:
A)
(–1,–4)
B)
(1,–4)
C)
(–1,4)
D)
(–4,–1)
Answer:
c
Step-by-step explanation:
Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2 – x Complete the statements about the number of terms in the polynomial representing the volume of each box. Box 1's volume will be a Box 2's volume will be a . Explain your reasoning.
Answer:
Box 1's volume will be a monomial
Box 2's volume will be a binomial
Explain your reasoning:
Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial. Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.
Step-by-step explanation:
Feel free to copy and paste! Hope this helps! Have a great day!
BTW...If you have any questions for school...any grade level, any subject...just comment or ask. I will be sure to answer as soon as I can!! <3
The volume of a box is the amount of space it can occupy.
Box 1's volume will be a monomialBox 2's volume will be a binomialThe given parameters are:
Dimensions of box 1: x by 3x by x^3
Dimensions of box 2: x by 4x - 1 by x^3
The volume of the box is calculated by multiplying the dimensions.
So, we have:
Box 1
[tex]V_1 = x \times 3x \times x^3[/tex]
[tex]V_1 = 3x^5[/tex]
Box 2
[tex]V_2 = x \times (4x - 1) \times x^3[/tex]
[tex]V_2 = (4x - 1) \times x^4[/tex]
Open brackets
[tex]V_2 = 4x^5 - x^4[/tex]
After calculating the volumes, we have:
[tex]V_1 = 3x^5[/tex] ---- box 1
[tex]V_2 = 4x^5 - x^4[/tex] ---- box 2
Hence,
The volume of box 1 is monomial, because it has 1 termThe volume of box 2 is binomial, because it has 2 termsRead more about volumes at:
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