When x is substituted with -2 in the given expression, the value of the expression is 1.
Explanation:Given the expression and the value of x, we can substitute x with -2 and evaluate the expression. For example, if the expression is x² + 2x - 3 and you want to find the value when x = -2, then you'd substitute x = -2 into the expression giving (-2)² + 2*(-2) - 3 = 4 - 4 - 3 = -3. Substituting values in, simplifying, and solving is the general process to follow when coming across this kind of problem in quadratic equations or other areas of Algebra.
Let's say the expression is 2x + 5. Substituting x with -2, we get:
2*(-2) + 5 = -4 + 5 = 1
Therefore, the value of the expression when x = -2 is 1.
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Sharon drinks 2/3 of 1/2 of lemonade. How much lemonade did Sharon drink?
Answer: The answer is 1/3 because you simplify your answer, and the answer is 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
According to the question
Sharon drinks 2/3 of 1/2 of lemonade
So let's solve
To determine the amount Sharon's drinks
2/3 of 1/2
2/3×1/2
2/6
1/3
Therefore the final answer is 1/3
Which answer choices list possible types of angles for this triangle?
Select two that apply.
Answer: the first and third one possibly but the first one for sure for sure
Which answer gives statements that should be used to prove angles 4 and 6
are congruent?
Answer:
b is the answer
Step-by-step explanation:
since the vertical angles are in the same degrees
4 and 2 are vertical,
2 and 6 are in the same degrees
which means 4 and 6 are congruent.
:D
PLEASE HELP
A scuba instructor charges a $150 equipment fee, plus $65 per hour for classes. Write an expression to represent the total cost, C, of lessons as a function of the numefer of hours, h, of the lesson.
Answer: (consider leaving a thanks)
Since the equation representing the total cost is C, we would write:
C = (rest of equation will go here)
Then, since the price goes up with the number of hours (h) by 65$ each hour, we would write it as (65h)
C = 65h (Final part!)
Finally, since 150$ is added on, and isn't connected to the number of hours we would write the equation like this:
C = 65h + 150
The sum of the measures of the interior angles of a convex polygon is 360 degrees? How many sides does the polygon have?
Answer: the polygon has
Four sides
Step-by-step explanation:
A square has 4 interior angles of 90° each. 4×90°=360°
R is inversely proportional to A.
R = 12 when A = 1.5
a) Work out the value of Rwhen A= 5.
b) Work out the value of A when R = 9
Here are the answer: a) R = 3.6 and b) A = 2
Step-by-step explanation:
Given,
R is inversely proportional to A.
R ∝ [tex]\frac{1}{A}[/tex]
so, R = [tex]\frac{k}{A}[/tex] -------eq 1 where k is any constant
To find the values of a) R when A = 5 and
b) Value of A when R = 9
Now,
Putting R = 12 and A = 1.5 in eq 1 we get,
12 = [tex]\frac{k}{1.5}[/tex]
or, k = 12×1.5 = 18
From eq 1 we get,
R = [tex]\frac{18}{A}[/tex] --------- eq 2
Now,
a) Putting A= 5 in eq 2 we get,
R = [tex]\frac{18}{5}[/tex] = 3.6
b) Putting R = 9 in eq 2 we get
R = [tex]\frac{18}{A}[/tex]
or, A = [tex]\frac{18}{9}[/tex] = 2
Answer:
a.3.6
b. 2
Step-by-step explanation:
R is inversely proportional to A
Which means R=k/A
Cross multiply
k=RA
Since R=12
A=1.5
So k=12×1.5
=18
a. We are to determine the value for R
So R=k/A
=18/5
=3.6
b.we are to determine the value for A
So R=k/A
A=k/R
=18/9
=2
"h varies directly as u". If h = 8 when u = 40, find u when h = 25.
Answer:
125
Step-by-step explanation:
h=8
u=40
so k=5
hk-u
5*25=125
Answer: u = 25
Step-by-step explanation:
Use elimination to solve the system of equation
4x+y=-2
3x+2y=6
Point form:
(-2,6)
Equation form:
x=-2, y=6
Please help fast!!!
Answer:
whats the question
Step-by-step explanation:
ask the question
\
Linda is making a line plot of the data below.
11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12
What are the least and greatest values in the data set?
O A.11.25, 14.125
O B.10.5, 11.25
O C.10.5, 14.125
O D. 10.5,12
HELP MEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!! A.P.S A.P.S A.P.S A.P.S
Answer:
Least: 10.5
Greatest: 14.125
Hope that helps!
Step-by-step explanation:
Answer: A
I hope this is correct
A line has a slope of One-fourth and passes through point (0.4, negative one-half). What is the value of the y-intercept?
Answer:
-0.6
Step-by-step explanation:
These box plots show daily low temperatures for a sample of days in two
different towns. Which statement is the most appropriate comparison of the spreads?
Given:
The box plots show daily low temperatures for a sample of days in two different towns.
We need to determine the most appropriate comparison of the spreads.
Interquartile range of town A:
The interquartile range can be determined by subtracting the end values of the boxes.
Thus, we have;
Interquartile range = 40 - 20
Interquartile range = 20
Thus, the interquartile range for town A is 20.
Interquartile range for town B:
The interquartile range for town B is given by
Interquartile range = 45 - 35
Interquartile range = 10
Thus, the interquartile range for town B is 10.
Hence, the interquartile range (IQR) for town A, 20° is greater than the IQR for town B, 10°
Hence, Option A is the correct answer.
260 years equals:
O
A. 2 centuries, o decades
O
B. 26 centuries, o decades
O
c. 26 centuries, 60 decades
OD. 2 centuries, 6 decades
O
E. 2 centuries, 60 decades
Consider the equation a-3 = (1/a)^5
What value(s) of a make the equation true?
Answer:
No solutions
Step-by-step explanation:
Equations are represented with the "=" sign. It means the expressions on either side are equal. The equation has no solution for a
Given that:
[tex]a^{-3} = (\frac{1}{a})^5[/tex] --- the correct equation
First, we apply the power rule of indices
[tex]a^{-3} = (a^{-1})^5[/tex]
Open the bracket
[tex]a^{-3} = a^{-1 \times 5}[/tex]
[tex]a^{-3} = a^{-5}[/tex]
Cancel out (a) on both sides
[tex]{-3} ={-5}[/tex]
The above solution is not true because
[tex]{-3} \ne {-5}[/tex]
Hence, the equation has no solution for a
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Which polynomial has zeros of 2, 5, and -4?
•
A. (x + 2)(x + 5)(x - 4)
B. (2x - 4)(x + 5)(x + 4)
c. 6 - 2)(x - 5)(x - 4)
D. (2x - 4)(x - 5)(x + 4)
The polynomial has zeros of 2, 5, and -4 is option (d) (2x - 4)(x - 5)(x + 4).
What is polynomial?A polynomial is a mathematical equation made up of indeterminates and coefficients and uses only addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
How to find the correct polynomial?To find a polynomial that has zeros 2, 5, and -4 substituted x = 2, 5, and -4 in a polynomial.
By substituted x = 2, 5, and -4 in a polynomial (2x - 4)(x - 5)(x + 4).
(a) For x=2.
The polynomial is
(2(2) - 4)(2- 5)(2 + 4) = (4- 4)(-3)(6)
= 0×-3×6
= 0
(b) For x=5.
The polynomial is
(2(5) - 4)(5 - 5)(5 + 4) = (10-4)(0)(9)
= 6×0×9
= 0
(c) For x=-4.
The polynomial is
(2(-4) - 4)(-4 - 5)(-4 + 4) = (-8-4)(-9)(0)
= -`12×-9×0
= 0
Since (2x - 4)(x + 5)(x + 4) has zeros of 2, 5, and -4
For incorrect options
By substituted x = 2, 5, and -4 in a polynomial (x + 2)(x + 5)(x - 4), (2x - 4)(x + 5)(x + 4) and (6x - 2)(x - 5)(x - 4) is not equal to zero therefore (a), (b) and (c)is not correct option.
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The correct polynomial with zeros of 2, 5, and -4 is represented by Option C, which is (x - 2)(x - 5)(x + 4), even though there is a typo in the option provided.
Explanation:The zeros of a polynomial are the values for which the polynomial evaluates to zero. These are also the solutions to the equation obtained by setting the polynomial equal to zero. Given the zeros of 2, 5, and -4, we can form a polynomial by finding the factors associated with each zero and then multiplying those factors together.
The factor associated with the zero 2 is (x - 2), the factor for the zero 5 is (x - 5), and the factor for the zero -4 is (x + 4). Multiplying these factors will give us the polynomial that has these zeros:
P(x) = (x - 2)(x - 5)(x + 4).
Comparing this expression with the options provided:
Option A is incorrect because it has factors of (x + 2) and (x - 4), implying zeros of -2 and 4.Option B is incorrect because it has the factor of (2x - 4), which simplifies to (x - 2), but includes the incorrect (x + 4).Option C is correctly formed with (x - 2)(x - 5)(x + 4), despite the typo, and represents the polynomial with the given zeros.Option D is incorrect, similar to option B.Therefore, the correct answer is Option C, which is (x - 2)(x - 5)(x + 4).
Write the first 5 terms of the
sequence an = 3n – 4
Answer:
- 1, 2, 5, 8, 11
Step-by-step explanation:
Substitute n = 1, 2, 3, 4, 5 into the n th term formula
a₁ = 3(1) - 4 = 3 - 4 = - 1
a₂ = 3(2) - 4 = 6 - 4 = 2
a₃ = 3(3) - 4 = 9 - 4 = 5
a₄ = 3(4) - 4 = 12 - 4 = 8
a₅ = 3(5) - 4 = 15 - 4 = 11
The first 5 terms are - 1, 2, 5, 8, 11
Final answer:
The first 5 terms of the sequence an = 3n - 4 are -1, 2, 5, 8, and 11. Each term is found by substituting the nth term number into the expression and calculating its value.
Explanation:
The student has asked to write the first 5 terms of the sequence an = 3n - 4. To find the terms of this sequence, we simply substitute the values of n (starting from 1 and going up by 1 each time) into the expression and calculate the results.
For n = 1: a1 = 3(1) - 4 = 3 - 4 = -1For n = 2: a2 = 3(2) - 4 = 6 - 4 = 2For n = 3: a3 = 3(3) - 4 = 9 - 4 = 5For n = 4: a4 = 3(4) - 4 = 12 - 4 = 8For n = 5: a5 = 3(5) - 4 = 15 - 4 = 11Therefore, the first 5 terms of the sequence are -1, 2, 5, 8, 11.
5x(f-32)divided by 9 for f = 95
Answer:
35x
Step-by-step explanation:
[tex]5x(f - 32) \div 9 \\ \\ = \frac{5x(f - 32)}{9} \\ \\ = \frac{5x(95- 32)}{9} \\ \\ = \frac{5x \times 63}{9} \\ \\ = 5x \times 7 \\ \\ = 35x[/tex]
What is the image of (5,-8)(5,−8) after a reflection over the x-axis?
Answer:
(5,8)
Step-by-step explanation:
(x,y) --> (x,-y)
The image of the point (5, -8) after a reflection over the x-axis is (5, 8).
When reflecting a point over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign. Given the point (5, -8), after a reflection over the x-axis, the new coordinates will be (5, 8).
Here's the step-by-step process:
Keep the x-coordinate the same (x remains 5).
Change the sign of the y-coordinate (-y becomes 8).
Combine the new coordinates to get the reflected point (5, 8).
Therefore, the image of the point (5, -8) after a reflection over the x-axis is (5, 8).
Where does
√17
belong on the Venn diagram?
A) Integers
B) Natural Numbers
C) Rational Numbers
D) Irrational Numbers
REALLY NEED HELP I HAVE 8 MORE QUESTIONS PLS HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST AND 10 POINTS
answer to -18x-17=-53
Hello :)
-18x - 17 = -53
-18x = -53 + 17
-18x = -36
-x = -2
x = 2
Answer = 2
Zeynoom Kopuyooz :d
-MERVE-
Answer:
Step-by-step explanation:
- 18x - 17 = - 53
- 18x =- 53 + 17
- 18x = - 36
Minus sign will be canceled
18x = 36
x = 36 / 18
x = 2
The amount c in grams of a 100 gram sample of carbon-14 remaining after t years is represented by the equation c= 100 (0.99988)t use a calculator to find the amount of carbon-14 remaining after 4 years
Answer: The amount of carbon-14 remaining after 4 years is 99.95 grams.
Step-by-step explanation:
Hi, to answer this question we simply have to substitute t=4 in the equation given and solve for c.
c= 100 (0.99988)^t
c =100 (0.99988)^4
c = 100 x 0.999520086
c= 99.95200864 ≅99.95 grams (rounded)
The amount of carbon-14 remaining after 4 years is 99.95 grams.
Feel free to ask for more if needed or if you did not understand something.
The amount of carbon-14 remaining after 4 years is 99.95 grams.
Given that,
The amount c in grams of a 100-gram sample of carbon-14 remaining after t years is represented by the equation,
[tex]\rm c = 100(0.99988)^t[/tex]
We have to determine,
The amount of carbon-14 remaining after 4 years.
According to the question,
Equation; [tex]\rm c = 100(0.99988)^t[/tex]
Where the amount c in grams of a 100-gram sample of carbon-14 remaining after t years is represented by the equation,
To determine the amount of carbon-14 remaining after 4 years following all the steps given below.
Then,
The amount of carbon-14 remaining after 4 years is,
[tex]\rm c = 100(0.99988)^t\\\\\rm c = 100(0.99988)^4\\\\ c = 100 \times 0.999520086\\\\c = 99.95 \ gram[/tex]
Hence, The amount of carbon-14 remaining after 4 years is 99.95 grams.
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Expand the following:
a) x(x + 5)
b) x(3x – 1)
c) 2x(2x + 3)
d) 5x(x – 3y)
Answer:
[tex] {x}^{2} + 5x[/tex]
[tex] {3x}^{2} - x[/tex]
[tex] {4x}^{2} + 6x[/tex]
[tex] {5x}^{2} - 15xy[/tex]
Luca wants to paint the back wall of his bedroom, and
he needs to know the area to determine the amount of
paint to buy What is the area of the wall?
Answer:
The answer is 75 ft^2
Step-by-step explanation:
I did it on
e
d
g
e
n
u
i
t
y
Answer:
The answer is 75
Step-by-step explanation:
the guy above me was correct
Two basketball players average the same number of points per game. What information would be most helpful in determining
which player's game performances show the least variability?
the most and least points each player has scored in a game
the number of games each player has played
O the average number of points each players team scores per game
the total number of points each player has scored
Answer:
the average number of points each team scores per game
Step-by-step explanation:
Answer:
B. the number of games each player has played
Step-by-step explanation:
What is the volume?
9 m
19 m
7 m
Answer:1197m³
Step-by-step explanation:
Answer:
Volume of a triangular irregular prism=1300.16m^3 = 1300m^2
Volume of a rectangular prism two answers = 1197m^3 or 1233m^3
Step-by-step explanation:
With rectangular prism two answers we need the rectangle surface area first
A = 9 m x 19 m = 171m
or A = 7 m x 19m
The rectangle prism could be 1197m^3 or 1233m^3
depending how big the rectangle is as we calculate that first then multiply by depth. If we had the direction of measurement of the base we would just get one answer and not two.
Rectangular prism A = 171sq
V = 1197m^3 = (171sq x 7)
or V= 1233m^3 = 137sq x 9
If the prism is a irregular prism we add the surface area's
V = (a+b+c)B/3
V = (7x19)(9x7) (9x19) x B = 133 + 63 + 197 x 197 = 3900.5/3 =1300.16
Which expressions are equivalent to 5(-2k-3)+2k
Choose all answers that apply:
(Choice A)
A
(-5*3)-8k
(Choice B)
B
-15
(Choice C)
C
None of the above
Answer:
A would be the correct one
Step-by-step explanation:
Answer: the correct answer is A
Step-by-step explanation:
What does it mean when is says write a sequence hat plots the ordered pair if you start at the origin when you are plotting ??
2x + y = 5
x + y = 4
O A. x = 1, y = 3
O B. x = 1, y = 5
OC. x = 3, y = 1
O D. x = 9, y = -5
Answer:
A. x=1, y=3
Step-by-step explanation:
you have to isolate y in the bottom equation in order to put it into the top equation. heres what i did:
we will start with the bottom equation, x+y=4. then, subtract x on both sides of the equation. this will isolate y. now, we have the equation; y=4-x.
next, we are going to substitute our new bottom equation in where y is on the top. it looks like this: 2x+(4-x)=5. then, we are going to get rid of the parenthesis, so our equation is: 2x+4-x=5. to solve this, we have to combine like terms, so we will combine the x terms: x+4=5. now, isolate the variable. to do this, we have to take away 4 from each side so we can get x alone: x=1.
so now that we have a value for x, we can use that to find y. we can actually substitute our x-value into the bottom equation to make it easier: 1+y=4. next, we have to isolate the variable, which is y. this gives us the final answer: y=3.
i hope that this explanation helped with your struggles, it took me awhile to type out and i really tried hard. stay safe and good luck with your class!
Lin plays a game that involves a standard number cube and a deck of ten cards numbered 1 through 10. If both the cube and card have the same number, Lin gets another turn. Otherwise, play continues with the next player. What is the probability that Lin gets another turn?
Answer:
6/60
Step-by-step explanation:
The probability that Lin gets another turn, P(E) could be 6/60
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
We are given that Lin plays a game that involves a standard number cube and a deck of ten cards numbered 1 through 10.
Therefore,
P(E) = Number of favorable outcomes / total number of outcomes
Outcomes of cube = { 1, 2, 3, 4, 5, 6}
Outcome of Card = {1, 2, 3} from each group.
when both the cube and card have the same number, then Lin gets another turn.
The probability that Lin gets another turn, P(E) =6/60
P(E) = 1/10
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which number is a fact of 6?
Answer:
if you meant factor then 1, 2, 3 and 6
Answer:
1,2,3,6
Step-by-step explanation:
A factor of a number is any number that can go evenly into another number.
1 x 6 = 6
2 x 3 = 6
So, 1,2,3,6 are factors of 6
Tell me if I wrong.
If right, can I have brainliest