Solve for x: 6x + 5 = 4x + 51
Answer:
x=23
Step-by-step explanation:
6x + 5 = 4x + 51
Take away 4x from both sides
2x + 5 = 51
Take away 5 from both sides
2x = 46
Divide both sides by 2
x=23
Answer: x=23
explanation: First thing you need to do is rearrange the equation so that like-terms are together. To avoid negative numbers, subtract 5 from both sides of the equation (subtraction property of equality), and subtract 4x from both sides (subtraction property of equality). You're equation would then be 2x=46. Divide both sides (division property of equality) by 2 to isolate your variable of x. You'll be left with a final answer of x=23.
Which of the following conditions must be met in order to make a statistical inference about a population based on a sample
if the sample does not come from a normally distributed population?
mu >= 30
x >= 30
n>= 30
N>= 30
Answer:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:
[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]
For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Step-by-step explanation:
For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:
[tex] \bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})[/tex]
For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:
n>= 30
Answer:
It's C.
Step-by-step explanation:
I took the test
Find the volume of a cone with the radius of 14, and a height of 9. (Hint:
the volume of a cone is 1/3*b*h where the "b" is the area of the base of
the cone or a circle). DO NOT ROUND!!!!! USE 3.14 for PI!!!*
Answer:
The answer is 1846.32 units³.
Step-by-step explanation:
Given that the base of a cone is a circle so the area of circle is A = πr². You have to substitute the following values into the formula :
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
Let π = 3.14,
Let r = 14,
Let h = 9,
[tex]v = \frac{1}{3} \times 3.14 \times {14}^{2} \times 9[/tex]
[tex]v = 1846.32 \: {units}^{3} [/tex]
Phone’s Plus charges a connection fee of 35 cents and 3 cents per minute. Fabulous Phones charges a connection fee of 45 cents and 2 cents per minute. Which equation could be used to determine the number of minutes, x, when a phone call would cost the same at both companies?
0.35+0.3x=0.45+0.2x
0.35+0.03x=0.45+0.02x
35+0.03x=45+0.2x
35+0.03x=45+0.02x
Find x, y and z to the nearest hundredth.
Answer:
see explanation
Step-by-step explanation:
This is an example of the Altitude - on - Hypotenuse theorem.
The altitude that is perpendicular to the hypotenuse of a right triangle.
The two triangles formed are similar to the given triangle and to each other.
x² = (smaller part) × (larger part) of main hypotenuse
x² = 6 + 19 = 114 ( square root both sides )
x ≈ 10.68 ( nearest hundredth )
---------------------------------------------
y² = ( smaller part) × (whole part) of main hypotenuse
y² = 6 × 25 = 150 ( square root both sides )
y ≈ 12.25 ( nearest hundredth )
--------------------------------------------
z² = ( larger part) × (whole part) of main diagonal
z² = 19 × 25 = 475 ( square root both sides )
z ≈ 21.79 ( nearest hundredth )
Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = three-quarters x 2 + 2x − 5 f(x) = StartFraction 4 Over x squared EndFraction minus StartFraction 2 Over x EndFraction + 1 f(x) = 0x2 − 9x + 7
Answer:
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7[/tex]
Required
Which of the above is a quadratic function
A quadratic function has the following form;
[tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function
[tex]1.\ f(x) = -8x^3 - 16x^2 - 4x[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^3 + bx^2 + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
This function has an exact match with [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
By comparison; [tex]a = \frac{3}{4}\ b = 2\ and\ c = -5[/tex]
[tex]3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = \frac{a}{x^2} + \frac{b}{x} + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]4.\ f(x) = 0x^2 - 9x + 7[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^2 +bx + c = 0\ but\ a = 0[/tex]
Unlike the quadratic function where [tex]a\neq 0[/tex]
So, from the list of given options, only [tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex] satisfies the given condition
please need help I will be MARKING as BRIANILIST. thank you so much
Answer:
Step-by-step explanation:
a, as the x axis increases, so does the y axis
b, temperature outside v ice cream sales
hours studied v grade on test
c, I cannot do for you, but i can tell you how. Draw a straight line that you feel is an accurate representation of the graph. Then find the slope and write an equation
If a book is 33 hour and 45 min long , how many days would it take you to read it if you read 3 hours a day ?
Answer:
11
Step-by-step explanation:
33.45 ÷ 3 = 11.15 but round it
(im not 100% sure but I hope this helps)
Solve the equation.4[x+1/3]=20
Answer:
[tex]x=\frac{14}{3}[/tex]
Step-by-step explanation:
Open the brackets.
[tex]4x +\frac{4}{3}=20[/tex]
[tex]4x=\frac{56}{3}[/tex]
[tex]x=\frac{14}{3}[/tex]
Answer:
So first we need to divide both sides by four. The four on the left side will cancel out and the right side will become 5. Next we have
x+1/3=5
Now we need to subtract both sides by 1/3. The 1/3 will cancel out and the 5 will become 4 2/3.
All we will be left with is x
x = 4 2/3
Select the correct answer from each drop-down menu. The United States can produce 200 pillows in one week, while Spain and France produce 150 and 100 pillows, respectively, in one week. On the other hand, Spain can produce 10 televisions in one week, while the United States and France produce only 5 and 4 televisions, respectively. has an absolute advantage in producing pillows, and has an absolute advantage in producing televisions.
Answer:
The correct answers is:
The United States has an absolute advantage in producing pillows, and Spain has an absolute advantage in producing televisions
Step-by-step explanation:
Absolute advantage is a term of economics which can be defined as an ability of a person, company or country to produce a greater quantity of goods as compared to his competetors.
We can surely understand that in the pillows market, the United States has an absolute advantage as it is producing about 50 pillows more than Spain and 100 pillows more than France in one week.
Similarly, in the televisions market, Spain has the absolute advantage because Spain is producing 5 more televisions than United States and 6 more televisions than France in one week
Wyatt has 222 one dollar bills, 222 five dollar bills, and 222 ten dollar bills. How much money does he have in all?
Answer:
$3,552.00
Step-by-step explanation:
First, you need to multiply 222 by 5. You will get 1110. Next, you need to multiply 222 by 10. You will get 2220. Now you take the 222 1 dollar bills and add it to the 1110 dollars, then add the 2220 to that. You will get the final number of 3552.
Here's the equation in what I call "Long Boi Form:"
222x5=1110 222x10=2220 1110+2220+222=3552
Here's the equation in what I call "Short Boi Form:" [Use this only if you
know PEMADAS!!!]
222+(222x5)+(222x10)=3552
Answer:
b
Step-by-step explanation:
list the size of DEF in order from shortest to longest
Answer:
i would probably go with DE, EF, and DF
Step-by-step explanation:
i hope this helps :))
Answer:
DE, EF, and DF
Step-by-step explanation:
IT TO THE BEST OF MY BRAIN!!!! HAVE A NICE DAY!!!
does anyone know the answer to this?
Answer: 1/3
Step-by-step explanation:
The multiples of 4 and 6 that are in this 1-12 interval is 4, 6, 8, and 12
Thats a 4/12 chance which simplifies to 1/3
Answer:
1/3
Step-by-step explanation:
There are 3 numbers between 1 and 12 that are either multiples of 4 or 6 (4, 8, 6). 12 is a multiple of both, therefore we get 4 numbers out of 12. This is 4/12 = 1/3
could someone please help me figure this out...
Two lines are intersecting. What is the value of x?
(x + 40)°
(4x - 5)”
====================================================
Work Shown:
The two angles shown are a linear pair. They are adjacent and supplementary. Supplementary angles add to 180 degrees.
(4x-5)+(x+40) = 180
5x+35 = 180
5x = 180-35
5x = 145
x = 145/5
x = 29
--------
As a check, if x = 29, then
4x-5 = 4*29-5 = 116-5 = 111
x+40 = 29+40 = 69
The two angles are 69 and 111 degrees which add to 69+111 = 180, which helps confirm the answer.
Answer:
x = 29
Step-by-step explanation:
The two angles with measures are a linear pair.
Angles in a linear pair are supplementary, so their measures add to 180 deg.
4x - 5 + x + 40 = 180
Combine like terms on left side.
5x + 35 = 180
Subtract 35 from both sides.
5x = 145
Divide both sides by 5.
x = 29
Solve for : 3 2 + −10 = 0. PLEASE HELP
Answer:
Step-by-step explanation:
32+(-10)
32-10
22 is not equal to 0
so its false
Answer: no solution
Step-by-step explanation:
Remove parentheses.
32+-10=0
Simplify 32+-10 to 32-10
32-10=0
Simplify 32-10 to 22
22=0
Since 22=0 is false, there is no solution.
Which of the following is a polynomial?
O A. (° - 4)
(x + 1)
O B. x-2-1
O c. 1+2
O D. x-2
Here A is the answer because it has more terms i guess
please help me with this.
Step-by-step explanation:
In a regular hexagon, split the figure into triangles.
Find the area of one triangle.
Multiply this value by six.
Alternatively, the area can be found by calculating one-half of the side length times the apothem.
Hope this helps you.
A student made a mistake when measuring the volume of a big container. He found the volume to be 75 liters.However, the real value for the volume is 60 liters. What is the percent error?
Answer: 20%
Step-by-step explanation:
Explanation is in progress of writing:
First, I will divide 60 by 75 and multiply by 100, to find what percent of 75 is 60:
= [tex]\frac{60}{75}[/tex] · 100
= 0.8 · 100
= 80%
The percentage error of the student's measurement is 25%.
Given the following data;
Experimental value = 75 liters Real value = 60 litersPercentage error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.
Mathematically, percentage error is given by this expression;
[tex]Perecent \; error = \frac{Real \; value - Experimental \; value}{Real \; value} * 100[/tex]
Substituting the values into formula, we have;
[tex]Perecent \; error = \frac{60 - 75}{60} * 100[/tex]
[tex]Perecent \; error = \frac{-15}{60} * 100[/tex]
Note: The negative sign is neglected in percentage error.
[tex]Perecent \; error = \frac{1}{4} * 100[/tex]
Percent error = 25%
Therefore, the percent error is 25%.
Find more information: https://brainly.com/question/3105259
Drive a car at a rate of 40 kilometers per hour or drive a car at a rate of 15 meters per second? (With the work please)
Answer:
15 meters per second is equivalent to 54 kilometres per hour.
Answer:
15 meters per second
Step-by-step explanation:
Giving brainliest to anyone who answers
Answer:
[tex]\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}[/tex]
Step-by-step explanation:
\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}
Answer:
[tex]$\frac{2}{3x} +\frac{7}{5y} $[/tex]
[tex]$\frac{2(5y)}{3x(5y)} +\frac{7(3x)}{5y(3x)} $[/tex]
[tex]$\frac{10y}{15xy} +\frac{21x}{15xy}$ \\[/tex]
[tex]$\frac{10y+21x}{15xy}$ \\[/tex]
\\-----------------------------------\\
[tex]$\frac{1}{x+2} -\frac{1}{x+3} $[/tex]
[tex]$\frac{1(x+3)}{(x+2)(x+3)} -\frac{1(x+2)}{(x+2)(x+3)} $[/tex]
[tex]$ \frac{x+3- (x+2)}{(x+2)(x+3)} $[/tex]
[tex]$ \frac{1}{(x+2)(x+3)} $[/tex]
Two sides of a parallelogram are in the ratio 5:4. If the perimeter is 54cm , the length of the larger side is -
9
11
12
15
Answer:
15 cm
Step-by-step explanation:
If we have two sides of a parallelogram in the ratio 5:4, then the other two sides must also be in the same ratio.
If the perimeter is 54, we can create the following equation regarding the length of each side
[tex]5x+4x+5x+4x=54\\\\18x=54\\\\x=3[/tex]
As our value for x is 3, and we know that the value for the larger side is 5x, we can simply plug in x to get the length of the larger side
[tex]5x\\\\5(3)\\\\15[/tex]
Two years ago ,Mr.Braxton counted 7 hickory trees in his yard. last year he counted 14 trees in his yard. this s[ring he counted 28 hickory trees.In how many years will there be 224 hickory trees?
Answer:112 years, you see a pattern of multiplying by 2, take 224 and divide it by 2 and you get 112
Step-by-step explanation:
Step-by-step explanation:
Well seeing as each year the amount of Trees Doubled (7+7=14 and 14+14=28)
We can Infer that each year afterwards it will do so.
So 1 year from now 28+28 = 56
2 years from now 56 + 56 = 112
And finally at 3 years 112+112 we arrive at our answer 224
Answer: So it would take 3 years to get to get to 224
In a parallelogram, both paires of oppsite sides are parallel? true or false
Answer:
True
Step-by-step explanation:
A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Answer:
True bc both paired of opposite sides are parallel
Step-by-step explanation:
Hope this helps
Correct me if this is wrong
Consider the function f(x)= 10^x and the function g(x), which is shown below.
How will the graph of g(x) differ from the graph of f(x)?
g(x)= f(x - 6) = 10^(x-6)
A. The graph of g(x) is the graph of f(x) shifted 6 units elown.
B. The graph of g(x) is the graph of f(x) shifted to the left 6 units.
C. The graph of g(x) is the graph of f(x) shifted 6 units up.
D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.
Answer:
B. The graph of g(x) is the graph of f(x) shifted to the left '6' units
Step-by-step explanation:
Type of transformation change to co-ordinate point
Vertical translation up 'd' units (x ,y) changes to (x , y+d)
Vertical translation down 'd' units (x ,y) changes to (x , y-d)
Horizontal translation left 'c' units (x ,y) changes to (x-c , y)
Horizontal translation Right 'c' units (x ,y) changes to (x+c , y)
Given f(x) translation left 'c' units f(x) changes to f(x-c)
Given f(x) translation right 'c' units f(x) changes to f(x+c)
Given Function f(x) = 10 ˣ
The given graph f(x) translation left '6' units
g(x) = f(x -6) = [tex]10^{x-6}[/tex]
Final answer:-
The graph of g(x) is the graph of f(x) shifted to the left '6' units
g(x) = f(x -6) = [tex]10^{x-6}[/tex]
Answer:
D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.
Step-by-step explanation:
Use GeoGebra to graph those two function
f(x) = 10^x
g(x) = 10^(x-6)
Solve for d.
-10 =-2+1/2d
A d=-24
B. d=-16
C. d= -6
D. d=-4
Answer:
B.) -16
Step-by-step explanation:
-10=-2+1/2d
-8=1/2d
d=-8/1/2
d=-16
So B
Which statement describes the graph of the function?
Answer:
The function has a hole when x = 0 and a vertical asymptote when x = 4.
Step-by-step explanation:
The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.
The coordinates from the given table (-0.2, -0.238), (-0.1, -0.244), (0.1, -0.256), (0.2, -0.263), (3.7, -3.3) (3.8, -5), (3.9, -10), (3.99, -100) and (4.01, 100).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
From the table, we have:
f(0) = undefined
f(4) = undefined
One of these values (the lesser value of x i.e. x = 0) is a hole, while the other is a vertical asymptote
Using the above as a guide, the correct statement is the function has a hole when x = 0 and a vertical asymptote when x = 4.
The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
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what is the answer to 23×-5
Answer:
23×-5
= -115
The answer is -115, easy peasy
Can someone please help with this math problem I'd really appreciate it.
Answer:
[tex]\mathrm{F}[/tex]
Step-by-step explanation:
[tex]y+8=4(x-5)[/tex]
[tex]x=5\\y=-8[/tex]
[tex](-8)+8=4((5)-5)[/tex]
[tex](-8)+8=4(0)[/tex]
[tex]0=0[/tex]
Solve the equation using the Quadratic Formula:
x2 + 6x + 3 = 0
Answer:
x = -2[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
First we have to distinguish the numbers with x from the "normal" numbers.
2x and 6x are numbers with x.
3 and 0 are "normal" numbers.
Now we have to seperate them on different sides of the equal sign.
To do this, we can subtract 3 from the left side and then add it to 0 on the left side.
Therefore, the equation will now be 2x + 6x = -3.
Now we can add 2x and 6x together, making it 8x.
The equation will now be 8x = -3.
To find the product of x, we need to divide both sides together.
So 8 divided by -3 will make -2[tex]\frac{2}{3}[/tex].
Therefore, x is -2[tex]\frac{2}{3}[/tex].
Hope my explination makes sense :)
If the coordinate of vertex A is (-2,4), then the coordinate of vertex A' is
(-2,-4)
(2,-4)
(2, 4)
Answer:
A' = (2,4)
Step-by-step explanation:
I know this because it's the opposite of (-2,4)
Answer:
(-2, -4)
Step-by-step explanation:
