Answer:
Positive interval: x is in (-5, infty)
Negative interval: x is in (-infty, -5)
Step-by-step explanation:
A fraction is positive when the numerator and denominator have the same sign. Since the numerator is positive in this case, the fraction will be positive when it's denominator is also positive. Thus, we need to solve x+5>0. Subtracting 5 on both sides gives x>-5.
Positive interval: x is in (-5, infty)
A fraction is is negative when the numerator and denominator have the different signs. Since the numerator is positive in this case, the fraction will be negative when it's denominator is negative. Thus, we need to solve x+5<0. Subtracting 5 on both sides gives x<-5.
Negative interval: x is in (-infty, -5)
A fraction doesn't have an output when it's denominator is 0. That is, in this case when x+5=0 which is when x is -5.
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
solving systems of equations in three variables
Answer:
Option B: (x= -8, y=10, z=-6)
Step-by-step explanation:
2x + 4y + 3z = 6 ... eq.(1)
5x + 8y + 6z = 4 ... eq.(2)
4x + 5y + 2z = 6 ... eq.(3)
From eq.(1),
2x= 6 - 4y - 3z
x= (6-4y-3z)/2 ... eq.(4)
Putting x as (6-4y-3z)/2 in both eq.(2) and eq.(3)
In eq.(2),
5[(6-4y-3z)/2] +8y +6z =4
Multiplying through by 2
5(6-4y-3z) + 16y + 12z = 8
30-20y-15z+16y+12z = 8
22= 4y + 3z ... eq(5)
In eq.(3),
4[(6-4y-3z)/2] +5y +2z = 6
2(6-4y-3z) +5y + 2z =6
12-8y-6z + 5y +2z = 6
6= 3y + 4z ... eq.(6)
Multiplying eq.(5) and eq.(6) by 3 & 4 respectively
66=12y + 9z ... eq(8)
24=12y + 16z ... eq(9)
Subtracting eq(8) from eq(9)
42= -7z
z= -42/7
z = -6
Putting z as -6 in eq.(5)
22= 4y + 3(-6)
22= 4y -18
4y = 40
y = 40/4
y = 10
Putting y as 10 and z as -6 in eq(4)
x = [6 - 4(10) - 3(-6)]/2
x = (6 - 40 - 18)/2
x = -16/2
x = -8
x= -8, y= 10 , z= -6
Which point is a solution for the inequality 3x – 2y < 5
a (3, 2)
b (2, 3)
c (5, 2)
d (8, 5)
how do I solve this?
Find the surface area of each prism
Answer:
3. SA = 876 [tex]in^{2}[/tex]
4. SA = 161 [tex]ft^{2}[/tex]
Step-by-step explanation:
Number 3.
To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.
To find side lengths:
Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is 8 in. Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.
Now we know all the (needed) side lengths.
To find the Surface Area:
Total SA = (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))
= 312 + 288 + 120 + 2 x (54 + 24) = 720 + (2 x 78)
= 876 [tex]in^{2}[/tex]
Number 4.
Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.
Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.
To find the Surface Area:
Total SA = 2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)
= 80 + 25 + 56
= 161 [tex]ft^{2}[/tex]
Which of the following is(are) the solution(s) to |11x +3 = 6 ?
I already Have the answer but can u guys show the work?
5.6 reccuring
as a fraction
Answer:17/3 or 5 and 2/3
Miss Jenkins owns an electronics shop. She order 27 laptops at £413 each. Miss Jenkins sells the 27 laptops for £600 each Work out the profit.
Answer:
You need to find the difference to show how much profit she makes. Subtract her cost of $413.00 from her selling price of $600.00 it will give you the difference, which is her profit.
Step-by-step explanation:
Answer:
she got 5049$ back in profit
Step-by-step explanation:
First count how much numbers are away from 413 to 600 you get 187
Next you Multiply 187 x 27 = 5049$
PLZ HELP ASAP ILL GIVE 20 POINTS!
A local store is selling fresh tuna. The table below shows the price for the amount of tuna. Amount of tuna (in pounds) 2, 6, 7 price (in dollars) 12, 30, 35.
predicted price for 9 pounds of tune?
Answer:
Its not always the same, 45 dollars
Step-by-step explanation:
Here is why its not always the same:
12/2 = 6 dollars/pound
30/6 = 5 dollars/pound
35/7 = 5 dollars/pound
we can see that they are not the same price as they vary.
For 9 pounds we can assume that the price would continue to be 5 dollars/pound:
x/5 = 9
x=5*9
x= 45
Mr pilgrim needs fencing for his turkey coop the perimeter is 240 yards the length is 16 yards longer than the width
Based on the information given, the length will be 68 yards while the value of the width will be 52 yards.
Width = wLength = w + 16The calculation will go thus:
Perimeter = 2l + 2w
240 = 2(w + 16) + 2w
240 = 2w + 32 + 2w
240 = 4w + 32
4w = 240 - 32
4w = 208
w = 208/4 = 52
Therefore, the length will be:
= w + 16 = 52 + 16 = 68
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try these.Evaluate the following logarithms.
Answer:
Reminder: [tex]log _a x[/tex] answers the question: "what power do I have to raise a to in order to get x?"
Thus said.
[tex]1. \ 64= 2^6 = 4^3 \implies log_464=3\\2. \ 5^1 = 5 \implies log_55 = 1\\3.\ 3^1=3; \ 2^1=2 \implies Log_33 + log_22 = 1+1=2\\4.\ 5^1=5; \ 8^1=8 \implies log_55 - log_88=1-1=0\\5. \ 8=2^3; 32=2^5 \implies log_28+log_232 = 3+5=8[/tex]
Last one, if you already talked about log properties, can be handled as:
[tex]log_28+log_232= log_2(8\times32) = log_2256 =8\ (256=2^8)[/tex]
Solve for z.
5.8 + 1 = z
Answer:
5.8 + 1 = z
6.8
Step-by-step explanation:
There are no variables in this equation. So you just add 5.8 + 1
Answer:
5.8+1=6.8
Step-by-step explanation:
'z' is a variable representing an unknown number. In this case, z is the answer, since the equation is 5.8+1=z. All you do is add 5.8 and 1 like this:
5.80
+1.00
_____
6.80
or 6.8
6.8=z
Note: The zero after the numbers does not change the answer.
Hope this helped! :)
Someone plz help me :(
Answer:
B) 7 - 5x
Step-by-step explanation:
7 - 5x is the difference between the number 7 and the product of 5 and 'x'
please explain and answer it
8√21 cm² is the area
hope it helps you
please mark as brainlliest!!
There are 495 pages in the mathematic book, from this 330 pages are included for the first term. Find the proportion of total pages to allotted pages in simplest form.
Answer:
330/495 = 2/3
the answer is 2/3
Answer:
3 : 2
Step-by-step explanation:
Total pages : allotted pages = 495 : 330
Find the HCF of 495 and 330
495 = 5 * 3*3*11
330 = 5 * 3 * 2 * 11
HCF = 5 * 3 * 11 = 165
Divide 495 and 330 by 165
495 : 330 = 3 : 2
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answer:
A. 1/5
Step-by-step explanation:
1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
y_2 = y-coordinate of point 2y_1 = y-coordinate of point 1x_2 = x-coordinate of point 2x_1 = x-coordinate of point 12. (Solving)
[tex]\frac{(3)-(2)}{(4)-(-1)}[/tex] [tex]\frac{1}{4+1}[/tex] [tex]\frac{1}{5}[/tex]Therefore, the answer is A. 1/5.
[tex]\huge \bf༆ Answer ༄[/tex]
Consider two points (-1 , 2) and (4 , 3)
Slope (m) of the graph is : -
[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \sf\dfrac{3 - 2}{4 - ( - 1)} [/tex][tex] \sf \dfrac{1}{4 + 1} [/tex][tex] \sf\dfrac{1}{5} [/tex][tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
[tex] \frac{2 + 3i}{3 + 4i} [/tex]
find the value quickly
[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]
[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]
[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]
[tex]=\frac{6-8i+9i+12}{25} [/tex]
[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]
[tex]=\frac{18+i}{25} [/tex]
[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]
_______
Hope it helps :) ⚜
why (0.0) (3.4) (6.8) (6,12) not a function
Answer:
Step-by-step explanation:
Look at the first elements of the four points: {0, 3, 6, 6}. The element 6 appears twice and is associated with two different second elements: {8, 12}. That tells us immediately that this is not a function.
I will give brainliest
Answer:
His average monthly payment is $730.83
Step-by-step explanation:
700+650+750+760+785+880+700+725+700+750+720+650=8,770
8,770/12 = 730.83
Sort the expressions into the correct categories based on their value. Note that some expressions may not belong to any of the categories.
(help with the circled ones)
Answer:
the answer for (9squared divided by 3) - ( 3 x 5 ) = 12
Step-by-step explanation:
(9squared divided by 3) - ( 3 x 5 ) = 12
9x9 = 81
81 ÷ 3 = 27
27 - (3x5)
3 x 5 = 15
27 - 15 = 12
so it goes in the 12 box
4squared - ( 2 x 3 )
4squared = 4 x 4
4 x 4 = 16
16 - (2 x 3)
2 x 3 = 6
16 - 6 = 10
so it goes in the 10 box
find the 6th term of geometric sequence whose common ratio is 3/2 and whose first term is 2
Answer:
243/16
Step-by-step explanation:
we have a1 = 2
r = 3/2
n = 6
The 6th term of the geometric sequence is 243/16
The given parameters are:
[tex]a = 2[/tex] --- the first term
[tex]r = 3/2[/tex] --- the common ratio
The nth term of a geometric sequence is:
[tex]T_n = ar^{n-1[/tex]
So, the 6th term would be:
[tex]T_6 = 2 \times (3/2)^{6-1[/tex]
Subtract 1 from 6
[tex]T_6 = 2 \times (3/2)^5[/tex]
Evaluate the exponent
[tex]T_6 = 2 \times (243/32)[/tex]
Simplify
[tex]T_6 = 243/16[/tex]
Hence, the 6th term of the geometric sequence is 243/16
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"find 48 divided by 2 using the distributive property"
Step-by-step explanation:
48 ÷ 2 = ...
= (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2)
= 6 + 6 + 6 + 6
= 12 + 12
= 24
A cyclist travels 6.7 km in 30 minutes. What is his average speed in km/h?
Answer:
[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ \text{Total Distance}}{ \text{Total time}} \\ [/tex]
30 min = ½ hr.[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ 6.7 \: km}{ \frac{1}{2} \: hr }[/tex]
[tex]\implies \footnotesize \text{ Average Speed} = 6.7 \times 2 \: km/h[/tex]
[tex]\implies \footnotesize \textbf{ Average Speed = 13.4 \: km/h}[/tex]
His rate is 13.4km/ hour
Data;
Distance = 6.7kmTime = 30 minutesConversion From Minutes to HoursTo solve this problem, we have to convert his speed from km/min to km/h
[tex]60min =1 hour\\[/tex]
Since his rate is 6.7kmin 30 minutes, let's convert it to hour
[tex]6.7km = 30min\\x km = 1min\\x = \frac{6.7}{30} \\x = 0.223km/min[/tex]
But to convert minutes to hours, we have to divide the time by 60
[tex]0.223\frac{km}{min}*60/1 = 13.4[/tex]
From the calculation above, his rate is 13.4km/ hour
Learn more on conversion from minutes to hours here;
https://brainly.com/question/4845674
Not sure on this. (Im really bad at math)
Answer:
13. C
14. B
Step-by-step explanation:
yeah-ya........... right?
Mr. Holland is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 3 meters high. The base of the ladder is 4 meters away from the house, where Mr. Holland's son is holding it steady. How long is the ladder? meters
Answer:
use Pythagoras theorem a^2+b^2 = c^2 where c is the longest side of the triangle (hypotenuse)
3^2 + 4^2 = c^2 (c is the length of the ladder)
9 + 16 = c^2
25 = c^2
c = √25 (square root)
c = 5
Answer:
blahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
what goes around always come back around
PLEASE HELP!
Using the diagram and information below to create and solve an equation. Don’t forget to show all of your work and label your answer.
m∠2 = (y + 10)° and m∠4 = (3y – 24)°
What is m∠2?
Answer:
m∠2 = 17°
Step-by-step explanation:
y + 10 = 3y - 24
34 = 2y
17 = y
Please answer this question
Answer:
12 12 18 1816 2888
Step-by-step explanation:
Just add on top and subtract on bottom
Find the missing side of the right
triangle.
7
4
Х
x= [?]
Enter the number that belongs in the green box,
Step-by-step explanation:
using Pythagoras theorem,
(hypotenuse)² = (perpendicular)² + (base)²
given that, hypotenuse =x, perpendicular =7, base =4
(x)² = 7² + 4²
(x)² = 49 + 16
x = √65
In general, as sample size increases: a.the standard error will remain the same regardless of changes in sample size. b.the standard error fluctuates in size. c.the standard error increases in size. d.the standard error is a constant. e.the standard error decreases in size.
Answer:
With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean
Step-by-step explanation:
simplify this addition x+(-x)+r