Answer:
B) x = -4
Step-by-step explanation:
[tex]\frac{1}{4}x-\frac{1}{8}=\frac{7}{8}+\frac{1}{2}x\\\\\frac{1}{4}x-\frac{1}{2}x-\frac{1}{8}=\frac{7}{8}\\\\\frac{1}{4}x-\frac{1}{2}x=\frac{7}{8}+\frac{1}{8}\\\\\frac{1}{4}x-\frac{1*2}{2*2}=\frac{7+1}{8}\\\\\frac{1}{4}x-\frac{2}{4}x=1\\\\\frac{1-2}{4}x=1\\\\\frac{-1}{4}x=1\\\\x=1*\frac{-4}{1}\\\\x=-4[/tex]
1. Using the scale 1 in.: 4 ft, find the dimensions in a blueprint of an 8 ft-by-12 ft
room
Answer:
2 in by 3 in
Step-by-step explanation:
1 in = 4 ft Divide both sides with 4
0.25 in = 1 ft
0.25 * 8 = 2 in
0.25 * 12 = 3 in
2 in by 3 in
Answer: 2 in by 3 in
Step-by-step explanation:
1 in = 4 ft Divide both sides with 4 0.25 in = 1 ft 0.25 * 8 = 2 in 0.25 * 12 = 3 in 2 in by 3 in
The scatter plot below shows the relationship between two variables, x and y. Which kind best fits the data?
Answer:
The last one on the bottom right
Step-by-step explanation:
When we are trying to fit a line for a number of points, we can fix this line at several points on the graph. However, out of the several lines that we can fit, only one of these lines would work perfectly and it is called the line of best fit.
The reason why it is called the line of best fit is that it is drawn in a manner in which it leaves equal number of points above it as below it.
Supposed we have 15 points for our graph with the line of the slope passing thorough 5, the line of best fit in this case would leave 5 points above and another 5 below the line.
Leaving 6 and 4 is also manageable, but in case where 3 and 7 are left above and below the line, then it becomes a problem
Thus, out of all the representations we have, the one on the bottom right best works
84 is 12%of what number
please hurry!!!!!!
Answer: 700
84 is 12% of What Number:
12% of 700 is 84
100% of 700 is 700, therefore 12 percent of 700 equals 84.
To check this, 12% of 700 IS 84 (Check on Calculator)
Hope this helps!!
10x + 8 = 3(x - 2)
10x + 8 = 3x
Answer:
1) -2
2) 8/7
Step-by-step explanation:
1) 10x+8=3(x-2)
10x+8=3x-6
10x-3x=-6-8
7x=-14
x=-2
2) 10x+8=3x
10x-3x=8
7x=8
x=8/7
Hope it helps
The following ratios form a proportion.
5\18 = 10/90
True False
Answer:
this is false because 5/18 is equivalent to 10/36
How can you tell if an expression is a perfect square trinomial? Explain.
Answer:
Step-by-step explanation:
A perfect square trinomial is the square of a binomial.
One of the special products and factors formulas that you should know is
(a + b)^2 = a^2 + 2ab + b^2; another is (a - b)^2 = a^2 - 2ab + b^2.
So, if you are given a trinomial and can use either of the above identities to rewrite it as the square of a binomial, you've got it.
What is the smallest number that can be added to 2018·2019·2020 so that the result of the addition is a perfect cube? Please answer soon!
Answer:
[tex]802[/tex]
Step-by-step explanation:
[tex]18^3=5832[/tex]
[tex]19^3=6859[/tex]
[tex]2018+2019+2020=6057[/tex]
[tex]6859-6057=802[/tex]
Check.
[tex]6057+802=6859[/tex]
[tex]\sqrt[3]{6859} =19[/tex]
Answer:
2019.
Step-by-step explanation:
Let x = 2018, then x + 1 = 2019 and x + 2 = 2020.
x(x + 1)(x + 2)
= x(x^2 + 3x + 2)
= x^3 + 3x^2 + 2x ................(A)
Now the perfect cube of x + 1 is:
(x + 1)^3 = x^3 + 3x^2 + 3x + 1
If we add x + 1 to (A) we get this expression so the answer is x + 1
= 2019.
Please help on this !!!!!!!!!!! Will mark brainliest answer !!!!!!!!!
Answer:
the smallest r is the 4r and the biggest r is the r^2
VERTEX (-2,-64)
Step-by-step explanation:
Answer:
smaller r = -10
larger r = 6
The ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]
Step-by-step explanation:
We have the function [tex]f(r)=r^2+4x-60[/tex]
In order to factor this quadratic equation, we need to look for two numbers that will
Add together to get 4
Multiply together to get -60
Lets look for the numbers that multiply to give us -60.
-1 and 60
1 and -60
2 and -30
-2 and 30
3 and -20
-3 and 20
4 and -15
-4 and 15
5 and -12
-5 and 12
6 and -10
-6 and 10
Now, we just need to determine which of these numbers will add together to get us 4.
Those two numbers would be -6 and 10.
This means that our factored form of this equation will be
[tex]f(r)=(r-6)(r+10)[/tex]
From this, we can find our roots, which are the solutions to the equation when it is equal to 0.
[tex](r-6)(r+10)=0\\\\r=-10, r=6[/tex]
These are our r values.
The vertex of a parabola will always be directly between the two roots.
The number that is between -10 and 6 is [tex]r=-2[/tex]
To find the y-value of the coordinate pair, we just need to plug -2 into our function.
[tex]f(-2)=(-2)^2+4(-2)-60\\\\f(-2)=4-8-60\\\\f(-2)=-64[/tex]
This means that the ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]
The table shows the polar bear population in the North
Atlantic's Baffin Bay in 1997 and 2004.
Between 1997 and 2004, Baffin Bay's polar bear
population
528 is about
<
percent of 2074.
Answer:
Between 1997 and 2004, Baffin Bay’s polar bear population
decreased
.
528 is about
25
percent of 2074.
Step-by-step explanation:
Answer:
decreased
25
Step-by-step explanation:
May you help please
Answer:
Option A
Step-by-step explanation:
We are given the inequality 4x + 6 [tex]\leq[/tex] 18;
[tex]4x + 6 \leq 18,\\4x \leq 12,\\\\x \leq 12 / 4,\\x \leq 3,\\\\Conclusion - Option A[/tex]
As you can tell, the second step was derived through the subtraction of 6 from either side of the inequality sign. 18 - 6 is 12, which resulted in the simplified inequality [tex]4x \leq 12[/tex]. Dividing 4 on either side, we derived [tex]x \leq 3[/tex], which is Option A
If f(x) = 1 + x2 and g(x) = 1-, which is the rule of function (f-)(x)?
Answer:
= -x^2 +x
Step-by-step explanation:
(x) = 1 - x^2
g(x) = 1-x,
(f-g)(x) = 1-x^2 - ( 1-x)
Distribute the minus sign
= 1-x^2 -1 +x
Combine like terms
= -x^2 +x
what is 1.8 increased by 10??
Answer:
zdsczsczscs
Step-by-step explanation:
What is the solution to log (10x-1)= logs(9x+ 7)?
6
O X=
6
19
O X=
19
X= 7
X= 8
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
[tex]\log _{10}\left(10x-1\right)=\log _{10}\left(9x+7\right)\\\mathrm{Apply\:log\:rule:\:\:If}\:\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\:\mathrm{then}\:f\left(x\right)=g\left(x\right)\\10x-1=9x+7\\\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\10x-1+1=9x+7+1\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\10x-9x=9x+8-9x\\\mathrm{Simplify}\\x=8\\[/tex]
The solution of the equation ㏒₅(10x - 1) = ㏒₅(9x + 7) is x = 8.
What are Logarithms?A logarithm is simply the opposite function of the exponentiation.
It is the exponent to which a number or value is raised to get some other number.
That is, if c = aˣ, then we can write it as x =logₐ c.
Given that,
㏒₅(10x - 1) = ㏒₅(9x + 7)
Let the value of both be n.
So, ㏒₅(10x - 1) = n and ㏒₅(9x + 7) = n
By the definition of logarithms,
10x - 1 = 5ⁿ and 9x + 7 = 5ⁿ
So,
10x - 1 = 9x + 7
10x - 9x = 7 + 1
x = 8
Hence the value of x is 8.
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A vehicle with a particular defect in its emission control system is taken to a succession of randomly selected mechanics until r = 15 of them have correctly diagnosed the problem. Suppose that this requires diagnoses by 20 different mechanics (so there were 5 incorrect diagnoses). Let p = P(correct diagnosis), so p is the proportion of all mechanics who would correctly diagnose the problem. What is the mle of p?
Answer:
the mle of P=0.833
Step-by-step explanation:
X=incorrect answer
And probability of success to be denoted as P
Here X posses a binomial distribution along with 'r' and 'p'parameter
CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION
A recent survey of 3790 people found that out of all respondents, only 579 shop at local farmer's markets. Express the ratio of people who shop at local farmer's markets to the total as a decimal rounded to the thousandths place. 2 points Is this a part-to-part or a part-to-whole ratio? 1 point Use your answer from the first part in a sentence. 3 points
Answer:
Step-by-step explanation:
So I am hoping this is right....
you would take 3790/579
rounded to the thousandths place would be 6.546 rounded
this would be part to whole
so as part to whole for every 100 people 6.546 shop at the local farmers market
Multiply and simplify
V8xyz3 . V10x3y2z
Answer:
Step-by-step explanation:
[tex]\sqrt{8xyz^{3}}*\sqrt{10x^{3}y^{2}z} =\sqrt{8xyz^{3}*10x^{3}y^{2}z}\\\\ =\sqrt{2*2*2*2*5*x^{1+3}*y^{1+2}*z^{3+1}} \\\\\\=\sqrt{2^{4}*5*x^{4}*y{3}*z^{4}} \\\\=2^{2}*x^{2}*y*z^{2}\sqrt{5y} \\\\\\=4x^{2}yz^{2}\sqrt{5y}[/tex]
Which expressions are equivalent to RootIndex 3 StartRoot 128 EndRoot Superscript x? Select three correct answers.
128 Superscript StartFraction x Over 3 EndFraction
128 Superscript StartFraction 3 Over x EndFraction
(4RootIndex 3 StartRoot 1 EndRoot)x
(4 (2 Superscript one-third Baseline) ) Superscript x
(2)x
Answer:
(A)[tex]128^{x/3}[/tex]
(D)[tex](4(2^{1/3}))^x[/tex]
Step-by-step explanation:
We want to determine which of the expression is equivalent to:
[tex]\sqrt[3]{128}^ x[/tex]
By the law of indices:
[tex]\sqrt[3]{128}=128^{1/3}\\$Therefore:\\\sqrt[3]{128}^ x \\=(128^{1/3})^x\\=128^{x/3}[/tex]
Similarly:
[tex]\sqrt[3]{128}^ x \\=\sqrt[3]{64*2}^ x\\=(4\sqrt[3]{2})^ x\\=(4(2^{1/3}))^x[/tex]
The expressions that are equivalent to (∛128)ˣ are; (128)^(x/3) and (4(2^(1/3))ˣ
How to use law of indices?We want to find the expression that is equivalent to (∛128)ˣ
From law of indices, we have that;
(∛128)ˣ = [(128)^(1/3)]ˣ
This can be further expressed as;
(128)^(x/3)
Similarly, we have the simplified expression at;
[(128)^(1/3)]ˣ = (64 * 2)^(x/3)
⇒ (4³ * 2)^(x/3)
⇒ (4(2^(1/3))ˣ
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The table shows some information about the five great Lakes of North America
Answer:
add me on snap kingmadness7062
Step-by-step explanation:
Total surface area of all the lakes combined is 24.5×10¹⁰
What is the Total Surface Area?Total surface area refers to the area including the base(s) and the curved part. It is the total area covered by the surface of the object. If the shape has a curved surface and base, then the total area will be the sum of the two areas.
Given here; The surface area of the lakes and we are required to find The total surface area of all the lakes.
Thus we have TSA= (2.57 + 6.01+5.80+1.91+8.21)×10¹⁰
=24.5 ×10¹⁰
Hence, total surface area of all the lakes combined is 24.5×10¹⁰
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what should be added in the polynomial x3-6x2+11x+8 so that it is completely divisible by 1-3x +x2
Answer:
The value to be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x² is -(x + 11)
Step-by-step explanation:
By long division, we have;
[tex]{\left ({x^{3}-6x^{2}+11x+8} \right )\div 1 - 3x + x^{2}}[/tex] = x - 3
-(x³ - 3·x² + x)
-3·x² + 10·x + 8
-(-3·x² + 9·x -3)
x + 11
Therefore, -(x + 11) should be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x².
That is (x³ - 6·x² + 11·x + 8 - x - 11) ÷ (1 - 3·x + x²) = x - 3.
Simplify 7(A-6)
A-6
7A-42
7A-6
Answer:
7A - 42
Step-by-step explanation:
7(A-6)
Distribute
7*A - 7*6
7A - 42
Penny had a bag of marbles. She gave one-third of them to Rebecca, and then one-fourth of
the remaining marbles to John. Penny then had 24 marbles left in the bag. How many marbles were
in the bag to start with?
pls explain.
Given That:
x - (Rebecca's share + John's share) = 24
x - (x/3 + x/4) = 24
12x/12 - (4x / 12 + 3x / 12) = 24
5x/12 = 24
5x = 24 x 12
5x = 288
x = 57 or 58
Two similar cardboards have areas of 24cm² and 150cm². If the length of the bigger one is 10cm ,what is the length of the smaller one,?
Answer:
4 cm
Step-by-step explanation:
You want the length of the smaller of two similar pieces of cardboard when the larger has an area of 150 cm² and a length of 10 cm, while the smaller has an area of 24 cm².
Scale factorThe scale factor for lengths is the square root of the scale factor for areas. It will be ...
√(24/150) = 0.4 . . . . . . = smaller / larger
The smaller cardboard has a length of ...
0.4 × 10 cm = 4 cm
__
Additional comment
Sometimes folks like to write this as a proportion:
[tex]\dfrac{\text{smaller length}}{\text{larger length}}=\sqrt{\dfrac{\text{smaller area}}{\text{larger area}}}[/tex]
Solving this for "smaller length" gives the expressions we used above:
smaller length = (larger length) × √(smaller area/larger area)
how many ways can 7 different runners finish in first, second, and third places in a race?
Answer:
210
Step-by-step explanation:
There are 7 * 6 * 5 ways to finish. This is because we have 3 slots:
For 1st place, there are 7 people that could take that place, so we have 7
For 2nd place, there are 6 people, because one person already took 1st, so they cant be second as well.
For 3rd place, there are 5 people, because 2 people already took first and second place, and neither of them can be third then.
So we have:
7*6*5 = 210
Answer:
210 ways
Step-by-step explanation:
For 1 st place there are 7 different runners
Now there are only 6 options
For 2nd place there are 6 different runners
Now there are only 5 options
For 3rd place there are 5 different runners
7*6*5
anybody know this :( please help
Answer:
the set of all the real values which are strictly greater than zero which is all positive real numbers
Step-by-step explanation:
In interval notation: (0, ∞)
Any exponential function with a positive base and positive multiplier will have a horizontal asymptote at y=0 and will extend to +∞. That's what this one does.
Range of a function--
The range of a function is the set of all the values that are attained by a function.
We are asked to find the range of the function f(x)
the set of all the real values which are strictly greater than zero
x > 0
please mark me brainliest :)
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?
Answer:
Step-by-step explanation:
If the longest side is 6.2 cm, and it is twice the length of the shortest, then we can write an equation as 2x=6.2, where x is the short side length.
Then, since a triangle has 3 sides, the medium side length is 14.5-6.2-x.
Hope that helped,
-sirswagger21
using tje logarithm find the square of 86.46
If A = T, then SM ___ MO. > = < NEED HELP
Answer:
I'm not sure but I think the answer is >
Step-by-step explanation:
It looks rig but if I were u I wouldn't trust me
i just did the quiz, It's > !
What is the diameter of a circle with a radius of 9.5 cm ?
Answer:
9.5(2) = 19 is the diameter
Step-by-step explanation:
Answer:
19 cm
Step-by-step explanation:
Diameter is twice the radius, thus 2 x 9.5 cm = 19 cm
Someone please help ASAP. I would really really appreciate it if u can. I will mark brainliest
Answer:
[tex]y = -\frac{1}{4} x + 2[/tex]
Step-by-step explanation:
Point P partitions the directed segment from A to B into 1:3 ratio. Q partitions the directed segment from B to A into a 1:3 ratio. Are P and Q the same point? Why or why not?
Answer:
Point Q is further from A than point P, therefore, they are not the same point
Step-by-step explanation:
The given information are;
Point P partitions the directed segment from A → B into the ratio of 1:3
Point Q partitions the directed segment from B → A into the ratio of 1:3
We note that the properties of a directed segment are that it has a length and direction with a defined starting or initial point.
Hence the two segments when arranged in the same direction are;
A B and B A
Hence point P is at a the point 1/(1 + 3) or 1/4 of AB or 1/4 times the length of AB from A
Point Q is at a the point 1/4 of B/A or 1/4 times the length of AB from B which is 3/4 times the length of AB from A
Therefore, point Q is further from A than point P which means they are not the same point.
Answer:
No, P is One-fourth the distance from A to B, and Q is One-fourth the distance from B to A.
Step-by-step explanation:
