Answer:
8 5 and 6 are the coefficients
Step-by-step explanation:
For this case we have that by definition, a coefficient is the term that accompanies a variable. If we have the expression given by:
[tex]8x + 5 + 6y[/tex]
The number "5" is a constant.
Thus, two variables, "x" and "y", are observed.
Thus according to the definition, the coefficients are given by "8" and "6" respectively.
Answer:
8 and 6 are the coefficients
I want to know the value
Answer:
x = 2/5
Step-by-step explanation:
[tex]x^3=\dfrac{0.008}{0.125}=\dfrac{8}{125}=\dfrac{2^3}{5^3}\\\\x=\sqrt[3]{\dfrac{2^3}{5^3}}=\dfrac{\sqrt[3]{2^3}}{\sqrt[3]{5^3}}=\dfrac{2}{5}[/tex]
The value of x is 2/5.
Answer:
x = 2/5
Step-by-step explanation:
x^3 = .008/.125
Take the cubed root on each side
x^3 ^ (1/3) = (.008/.125) ^ 1/3
Using ( a/b) ^c = a^c / b^c and a^b^c = a^ (b*c)
x^(3 *(1/3)) = (.008) ^ 1/3 / (.125) ^ 1/3
x = (.008) ^ 1/3 / (.125) ^ 1/3
x = .2/.5
x = 2/5
−5y=−5 THANKS
7x+6y=7
Is (5,1) a solution of the system?
Answer:
{x = 1/7 ,y = 1
Step-by-step explanation:
Solve the following system:
{-5 y = -5 | (equation 1)
{7 x + 6 y = 7 | (equation 2)
Swap equation 1 with equation 2:
{7 x + 6 y = 7 | (equation 1)
{0 x - 5 y = -5 | (equation 2)
Divide equation 2 by -5:
{7 x + 6 y = 7 | (equation 1)
{0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:
{7 x+0 y = 1 | (equation 1)
{0 x+y = 1 | (equation 2)
Divide equation 1 by 7:
{x+0 y = 1/7 | (equation 1)
{0 x+y = 1 | (equation 2)
Collect results: Answer: {x = 1/7 ,y = 1
Answer:
No
Step-by-step explanation:
The next test will be a hundred points total, but only forty questions will be asked. Some questions are worth two points each and the rest are four points each. How many of each questions is there?
Answer:
10 questions that are 4-point30 questions that are 2-pointStep-by-step explanation:
Numerical reasoning
If all questions were 2-point, the total score would be 80. It is 20 more than that. Each 4-point question that replaces a 2-point question will add 2 points to the score, so there must be 20/2 = 10 of them.
There are 10 4-point questions and 30 2-point questions.
_____
With an equation
Let x represent the number of 4-point questions. Then 40-x is the number of 2-point questions. The total number of points is ...
... 2(40-x) +4x = 100
... 2x +80 = 100 . . . . simplify
... 2x = 20 . . . . . . . . .subtract 80
... x = 10 . . . . . . . . . . divide by 2.
There are 10 4-point questions and 40-10=30 2-point questions.
What is the value of x?
Enter your answer in the box.
Since QC and BR are parallel, triangles CDQ and BDR are similar.
This means that corresponding sides are in proportion, so we have
[tex] BD \div QD = RD \div CD [/tex]
Substituting numbers, we have
[tex] 26+39 \div 39 = 18+x \div x \iff \dfrac{65}{39} = \dfrac{18+x}{x} [/tex]
Multiply both sides by [tex] 39x [/tex]
[tex] 65x = 39(18+x) [/tex]
Expand right hand side:
[tex] 65x = 702 + 39x [/tex]
Subtract 39x from both sides:
[tex] 26x = 702 [/tex]
Divide both sides by 26
[tex] x = \dfrac{702}{26} = 27 [/tex]
Just took the test and got the the correct answer *\(♡°▽°♡)/*
Look at the image down below!!
Consider the equation . x-3=2 1/2
(a) List the three related equations
(b) Choose the related equation that isolates the variable and simplify.
Answer:
Step-by-step explanation:
We have been given an equation:
[tex]x-3=2\frac{1}{2}[/tex]
(a) Related equation means the equation that are equivalent to the given equation.
We can shift 3 on the right hand side of the equation:
(1)[tex]x=3+2\frac{1}{2}[/tex]
We can solve the mixed fraction [tex]2\frac{1}{2}=\frac{5}{2}[/tex] we get.
(2)[tex]x=3+\frac{5}{2}[/tex]
We can solve the right hand side of the equation [tex]x=3+\frac{5}{2}[/tex] we get:
(3)[tex]x=\frac{11}{2}[/tex]
Hence, above three expressions are the related equations of the given equation.
(b) We have to find the related equations that isolates the variable and simplify.
So, basically we can solve for x.
[tex]x=2\frac{1}{2}+3[/tex]
[tex]x=1+3[/tex]
[tex]x=4[/tex].
A class has 7 boys and 10 girls. Select all associated ratios for this class.
7:3
7:10
10:7
17:5
7:17
10:17
3:7
10:3
Answer:
7:10 (boys to girls)
10:7 (girls to boys)
7:17 (boys to everyone combined)
10:17 (girls to everyone combined)
~
Which of the following points lie in the solution set to the following system of inequalities?
y ≤ x − 5
y ≥ −x − 4
A. (−5, 2)
B. (5, −2)
C. (−5, −2)
D. (5, 2)
B. (5, -2)
Step-by-step explanation:Try the points in the inequalities and see what works. Here, we evaluate the point in the first inequality, and if that works, then the second inequality.
A. 2 ≤ -(-5) -5 . . . ⇒ . . . 2 ≤ 0 . . . false
B. -2 ≤ 5 -5 . . . true
... -2 ≥ -(5) -4 . . . true . . . . . . selection B is a viable choice
C. we know from A that the first inequality will be satisfied
... -2 ≥ -(-5) -4 . . . ⇒ . . . -2 ≥ 1 . . . false
D. 2 ≤ 5 -5 . . . . false
A tortoise is walking in the desert. It walks for 7.5 meters at a speed of 3 meters per minute. For how many minutes does it walk?
Answer:
2.5 min
Step-by-step explanation:
The tortoise takes 1 min/3 m.
7.5 × 1/3 = 2.5 min
The Art Club collected $15 from each of its 17 members for dues. It then had $300 in its account. Assume the relationship is linear. Find and interpret the rate of change and the initial value.
The "rate of change" is presumed to refer to the rate at which the balance in the bank account changes as dues are collected from Art Club members. It increases by $15 for each new collection, so we can say ...
... the rate of change is $15 per member.
We further presume that the problem intends the "initial value" to refer to the fact that the 17 × $15 = $255 does not match the full amount of the current Art Club account balance ($300). So, there must have been some balance in the account before collection started. We can interpret that $45 "initial value" as ...
... the account balance before dues collection started is the initial value.
The sum of two numbers is 66 and the difference is 8 . What are the numbers?
Answer:
X = 37
Y = 29
Step-by-step explanation:
X + Y = 66
X - Y = 8
------
Solve second equation for X
X = Y + 8
Substitute for X in first equation
Y + 8 + Y = 66
2 * Y = 58
Y = 29
___
X - 29 = 8
X = 37
X = 37
Y = 29
Good Luck,
- I.A. -
Answer:
x = 37 and y = 29
Step-by-step explanation:
x + y = 66
x - y = 8
solve second equation for x
x = y + 8
substitute for x in first equation
y+8 +y = 66
2y = 58
y = 29
x - 29 = 8
x = 37
x = 37 and y = 29
Simplify the polynomial by combining like terms.
xy−3x^3y−4xy^2+3x^2+7x^3y
Answer:
it should be 4x^3 y-4xy^2+xy+3x^2
Step-by-step explanation:
Which point on the graph is a direct variation equation in which k=12.4
(4,49.6)
(49.6,4)
(4,3.1)
3.1,4)
Answer:
The correct answer would be A) (4, 49.6)
Step-by-step explanation:
In order to find the equation, we first have to start with the base form of direct variation.
y = kx
Now we input the k value.
y = 12.4x
Now that we have this, we can try the ordered pairs and look for which satisfies the equation.
y = 12.4x
49.4 = 12.4(4)
49.4 = 49.4
Since this is the true statement, this is the ordered pair that works.
Answer:
(4,49.6)
Step-by-step explanation:
plsss help ;)
Which formula below gives the average rate of change of the function z(x) = -6x + 2 + 3 on the interval -1 ≤ x ≤ 2 ?
Answer:
ave rate of change = (-6)^(2+2) +3 - (-6)^(-1+2) +3
---------------------------------------------
2+1
Step-by-step explanation:
To find the average rate of change
ave rate of change = f(x2) - f(x1)
----------------
x2-x1
We know that x2 = 2 and x1 = -1
ave rate of change = f(2) - f(-1)
----------------
2--1
ave rate of change = (-6)^(2+2) +3 - (-6)^(-1+2) +3
---------------------------------------------
2+1
Answer:
ave rate of change = (-6)^(2+2) +3 - (-6)^(-1+2) +3
Step-by-step explanation:
A ____________ has no dimension and is represented by a small dot.
Answer:
Point
Step-by-step explanation:
If you are referring to geometry
Solve give your answer in interval notation: 5-4x^2>=8x!!! Please help ASAP!!!:( On the answer key for my final study guide it says that the answer is [-5,1/2] but on the calculator it says that the answer is [-5/2,1/2] I want to know which of these answers is correct!!! :)
Answer:
[-5/2, 1/2] is the correct answer
Step-by-step explanation:
Subtract the left side to compare to zero:
... 4x^2 +8x -5 ≤ 0
... (2x +5)(2x -1) ≤ 0 . . . . factor
... x = -5/2 . . . or . . . x = 1/2 . . . . are the zeros
The factors will differ in sign (the product will be negative) when x is between the zero values. Hence the solution set is ...
... x ∈ [-5/2, 1/2]
_____
Check
When you normalize the leading coefficient of the quadratic to 1, it becomes ...
... x² +2x -5/4 ≤ 0
Now, you know the sum of zeros must be -2 and the product of zeros must be -5/4. The zeros associated with the answer given in your key have a sum of -4.5 and a product of -5/2. It cannot be right.
at a car and truck dealership, the probability that a vehicle is white is 0.25. the probability that it is a car is 0.36. the probability that it is a white car is 0.08. what is the probability that a vehicle is white, given that the vehicle is a car?
Answer:
Probability that a vehicle is white, given that the vehicle is a car :
0.2222
Step-by-step explanation:
A: vehicle is white
probability that a vehicle is white =P(A)= 0.25
B:vehicle is a car
probability that it is a car =P(B)= 0.36
A∩B:vehicle is a white car
P(A∩B)=probability that it is a white car = 0.08
A/B:vehicle is white,given that vehicle is a car
to find P(A/B)
baye's theorem says that
P(A∩B)=P(A/B)×P(B)
⇒ 0.08=P(A/B)×0.36
⇒ P(A/B)=0.2222
Hence, probability that a vehicle is white, given that the vehicle is a car is :
0.2222
Answer: 0.22
Step-by-step explanation:
confirmed
bruce banner had a taxable income last year of $43,467. his state's income tax rate is 3.9% and his city income tax is 1.8%. what total state and city income taxes did bruce pay last year?
Answer:
Total tax paid by Bruce = $2477.62
Step-by-step explanation:
Bruce banner taxable income last year = $43,467
State's income tax rate = 3.9%
State's income tax = 43467*3.9% = 43467*0.039 = $1695.21
City income tax rate is = 1.8
City income tax = 43467*1.8% = 43467*0.018 =$782.41
Total tax = $1695.21 + $782.41
= $2477.62
Thank you.
The science club sold 24 t-shirts last week and 18 T-shirts this week. What is the percentage of decrease in the number of T-shirts sold?
a) 33%
b) 25%
c) 50%
d) 75%
Answer:
D) 75%
Step-by-step explanation:
75% of 24 = 0.75 x 24 = 18
help me plz i will apreciate
Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding 1/3 the length of the directed line segment?
The ratio given is part to whole, but fractions compare part to part.
The ratio given is part to part. The total number of parts in the whole is 3 – 1 = 2.
The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.
The ratio given is part to whole, but the associated fraction is 1/3.
Answer:
The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.
Step-by-step explanation:
I like to call the numbers in the ratio 1 : 3 "ratio units".
That is, the short length is 1 ratio unit long, and the longer length is 3 ratio units long. The total (whole) length is 1+3 = 4 ratio units long. Then the short length (1 ratio unit) is 1/4 of the whole length (4 ratio units).
_____
Coment on the answer wording
I think you need to be careful with terminology. The word "part" has a different meaning in the first answer sentence "... part to part" than it does in the second answer sentence "... parts in the whole ...".
In the first sentence, it refers to "a piece of the line, no matter its length." In the second sentence, it refers to "that length of the line represented by 1 in the ratio."
What is 9.36•10~4 in standard form
The number 9.36×10-4 in standard form is 0.000936. You convert from scientific notation to standard form by moving the decimal point to the left by the number equivalent to the exponent when the exponent is negative.
Explanation:
When asked what is 9.36×10-4 in standard form, we are being asked to convert a number from scientific notation to its regular number format. Scientific notation is a method of writing numbers that are too big or too small to be conveniently written in decimal form. To convert this to standard form, we move the decimal point to the left if the exponent is negative (or to the right if the exponent is positive) as many times as the value of the exponent.
In this case, we have a negative exponent (-4), so we move the decimal four places to the left:
9.36 -> 0.936 -> 0.0936 -> 0.00936 -> 0.000936
Therefore, 9.36×10-4 in standard form is 0.000936.
A triangle has vertices located at the coordinates (17,-3), (-7,11) and (17,11). What is the area of the triangle?
A. 40 sq units
B. 70 sq units
C. 96 sq units
D. 144 sq units
E. 168 sq units
E. 168 sq units
Step-by-step explanation:The legs of this right triangle have length 24 and 14, so the area is ...
... A = (1/2)bh = (1/2)(24)(14) = 168 . . . . sq units
PLZ HELP ASAP WILL MARK BRAINIEST
QUESTION 39
|-4| is a solution of x ≤ 4
True
False
QUESTION 43
The point (5, -1) is a solution of the equation: y = 2x − 11
True
False
Answer:
Question 39: False
Question 43: True
Step-by-step explanation:
Question 39
|-4| is a solution of x ≤ 4
|-4| ⇒ This mean the absolute value of 4. The sign s are neglected.
So, |-4| is not a solution of x ≤ 4.
Question 43
The point (5, -1) is a solution of the equation: y = 2x − 11.
To prove this we are to substitute the point (5, -1) in the equation y = 2x − 11.
y = -1 and x = 5
y = 2x − 11 ⇒ -1 = 2(5) -11
-1 = 10 - 11
-1 = -1
Write the equation for the parabola that has x− intercepts (−2−√2 ,0) and (−2+√2 ,0) and passes through the point(−1,1).
Answer:
f(x)= -x²-4x-2
Step-by-step explanation (this way is not the shortest one):
1. for intercept (-2-√2;0): a(-2-√2)²+b(-2-√2)+c=0
for intercept (-2+√2;0): a(-2+√2)²+b(-2+√2)+c=0
for the point (-1;1): a(-1)²+b(-1)+c=1
2. using the three record written above, it is possible to make up the system of equations and calculate 'a', 'b' and 'c':
[tex]\left \{ \begin{array}{ccc}a-b+c=1\\a(-2- \sqrt2)^2+b(-2- \sqrt2)+c=0\\a(-2+ \sqrt2)^2+b(-2+ \sqrt2)+c=0\end{array}[/tex]
[tex]\left \{ \begin{array}{ccc}a=-1\\b=-4 \\c=-2\end{array}[/tex]
3. the required equation is: -x²-4x-2
hey please help me asap
Attached pictures shows the answers in RED.
A group of hikers buys 8 bags of mixed nuts. Each bag contains 3 1/2 cups of nixed nuts. The mixed nuts are shared evenly among 12 hikers. How many cups of mixed nuts will each hiker receive?
Answer:
Each hiker gets [tex]\frac{7}{3}[/tex] cups of mixed nuts.
Step-by-step explanation:
First, we need to find the total amount of cups by multiplying the number of bags with the amount of cups in each bag:
8 * 3.5 = 28
Now, we divide this by 12 to find the amount of cups per hiker:
28 ÷ 12 = [tex]\frac{7}{3}[/tex] or 2.3333
So each hiker gets [tex]\frac{7}{3}[/tex] cups of mixed nuts.
Directed line segment has endpoints P(– 8, – 4) and Q(4, 12). Determine the point that partitions the directed line segment in a ratio of 3:1.
Answer:
Point (1,8)
Step-by-step explanation:
We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.
When a point divides any segment internally in the ratio m:n, the formula is:
[tex][x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}][/tex]
Let us substitute coordinates of point P and Q as:
[tex]x_1=-8[/tex],
[tex]y_1=-4[/tex]
[tex]x_2=4[/tex]
[tex]y_2=12[/tex]
[tex]m=3[/tex]
[tex]n=1[/tex]
[tex][x=\frac{(3*4)+(1*-8)}{3+1},y=\frac{(3*12)+(1*-4)}{3+1}][/tex]
[tex][x=\frac{12-8}{4},y=\frac{36-4}{4}][/tex]
[tex][x=\frac{4}{4},y=\frac{32}{4}][/tex]
[tex][x=1,y=8][/tex]
Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.
Answer:
Step-by-step explanation:
1,8
Charlie measured his room and found that it was 10 1/2 feet in length and 7 1/4 feet wide. His brother's room has the same width, but its length is 4/5 the length of Charlie's room. What is the length of Charlie's brother's room. What is the area of Charlie's brother's room?
Answer:
Length of Charlie's brother's room = 8 2/5 feet
Area of Charlie's brother's room = 60 9/10 feet²
Step-by-step explanation:
Width Charlie's room = 7 1/4 = (7 x 4 +1)/4 = 29/4 feet
Length Charlie's room = 10 1/2 = (10 x 2 +1)/2 = 21/2 feet
Length brother's room = 4/5 x 21/2 = (4 x 21)/(5 x 2) = 84/10 = 8 2/5 feet
Area = Length x Width = (42/5 x 29/4) feet² = 1218/20 feet² = 60 9/10 feet²
[tex]\textit{\textbf{Spymore}}[/tex]
Choose the expression that mathematically represents the difference between ‘3 times a number’ and the quantity ‘5 times another number less 7’
a. 3x − (7 − 5x)
b. 3x − (5y − 7)
c. 3x − (5x − 7)
d. 3x − (7 − 5y)
Answer:
b. 3x - (5y -7)
Step-by-step explanation:
Let x represent "a number". Let y represent "another number."
The "3 times a number" is represented by 3x.
And "5 times another number less 7" is represented by 5y -7.
The difference between these quantities is the second subtracted from the first:
... 3x - (5y -7) . . . . matches selection b.
- 1 (multiplicity 3), 3 (multiplicity 4)
Answer:
-1,81
Step-by-step explanation:
Multiplicity of a number can be written as power
for example
-1(multiplicity 3) can be written as
[tex]-1^{3}[/tex]= -1
similiarly 3(multiplicity 4) can be written as
[tex]3^{4}[/tex]=81
The eleventh-degree polynomial (x + 3)4(x – 2)7 has the same zeroes as did the quadratic, but in this case, the x = –3 solution has multiplicity 4 because the factor (x + 3) occurs four times (that is, the factor is raised to the fourth power) and the x = 2 solution has multiplicity 7 because the factor (x – 2) occurs ... Can you do the rest on your own?