Answer:
Following are the solution to the given question:
Step-by-step explanation:
In question 1:
[tex]\to \frac{x^2+5x+6}{x+2}\\\\\to \frac{x^2+(3+2)x+6}{x+2}\\\\\to \frac{x^2+3x+2x+6}{x+2}\\\\\to \frac{x(x+3)+2(x+3)}{x+2}\\\\\to \frac{(x+3) (x+2)}{x+2}\\\\\to (x+3)[/tex]
In question 2:
[tex]\to \frac{2x+8}{x^2+5x+6}\\\\[/tex]
[tex]\to x^2+5x+6=0\\\\\to (x+3)(x+2)=0\\\\\to x+3 =0 \ \ \ \ \ \ x+2 =0\\\\\to x = -3 \ \ \ \ \ \ x=-2 \\\\[/tex]
In question 3:
[tex]\to f(x) = \frac{x-3}{x+5}\\\\\to f(x) \neq 0\\\\when\\\to x+5=0\\\\\to x=-4 \ excluded \ value \\\\\to x \neq 5[/tex]
In question 4:
[tex]\to f(x) = \frac{x^2+6x+8}{(x+4)}\\\\\to f(x) = \frac{x^2+(4+2)x+8}{(x+4)}[/tex]
[tex]\to f(x) = \frac{x^2+4x+2x+8}{(x+4)}\\\\\to f(x) = \frac{x(x+4)+2(x+4)}{(x+4)}\\\\\to f(x) = \frac{(x+4)(x+2)}{(x+4)}\\\\\to f(x) = x= -4 and -2[/tex]
In question 5:
[tex]\to f(x) =\frac{3x}{x^2-9} \\\\ \to f(x) =\frac{3x}{x^2-3^2} \\\\ \to f(x) =\frac{3x}{(x+3)(x-3)}[/tex]
In question 6:
total number of fish = x
yellow fish [tex]= \frac{40}{100}=0.4X[/tex]
green fish [tex]= \frac{60}{100}) =0.6X[/tex]
It is now the case that the yellow fish number is 6 less than the green fish number.
[tex]\therefore \\\\\to 0.6x-0.4x = 6 \\\\\to 0.2x = 6\\\\\to x= \frac{6}{0.2} \\\\\to x=30[/tex]
green fish [tex]= 0.6 \times 30=18[/tex]
Which source of evidence did Wegener use to support his theory of continental drift?
fossils
magnetic fields
satellite mapping
warm equatorial climates
Answer: fossils
Step-by-step explanation: he compared the fossils on each continent and realized that they all have similar aspects.
Answer:
fossils
Step-by-step explanation:
Liam babysat for 3 1/2 hours and made $31.50. How much money does he make per hour?
Answer:
$9 per hour
Step-by-step explanation:
31.50/3.5 = 3150/350 = 630/70 = 63/7 = 9
Hope this helps! :3
plz mark as brainliest!
Victoria created the scatterplot below based on the data in the table for the ages and heights of some teachers in her school. Teacher Age vs. Height Teacher Age Height (in.) 1 36 62 2 28 70 3 50 60 4 44 72 5 58 68 6 24 65 A graph titled Teacher Age versus height has age on the x-axis and height (inches) on the y-axis. Points are at (22, 66), (28, 70), (35, 62), (42, 72), (60, 50) and (59, 69). She wants to see if a teacher’s height depends on his or her age. What did she do wrong when she created the scatterplot? She mixed up the independent and dependent variables. She labeled the x-axis of the scatterplot “Age” when she should have labeled it “Teacher.” She plotted the point (36, 62) when she shouldn’t have. She mixed up the x- and y-coordinates of the point representing teacher 3.
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I took the test and got 100%.
please help I’m stuck! a. 6 B. 2 c. 3 D.4 Thank you
For what value of k is the expression [tex]x^{4}[/tex]+k[tex]x^{2}[/tex]+49 a perfect square?
a. 7
b. 14
c. 49
d. 98
Answer:
k = 14
Step-by-step explanation:
Given:
x⁴ + kx² + 49
Find:
Value of k
Computation:
x⁴ + kx² + 49
(x²)² + (k)(x²) + 7²
we know that;
a² + 2ab + b²
On compare;
k = 2 x 7
k = 14
How is speed similar to solving for time?
To get the speed of something you would have to sole for s=d/t (speed equals distance over time)
(3x³ + 2x - 3) - (4x³ - x² + x)
please just give the answer
Answer:
- x³ + x² + x - 3
Step-by-step explanation:
(3x³ + 2x - 3) - (4x³ - x² + x)
3x³ + 2x - 3 - 4x³ + x² - x
3x³ - 4x³ + x² - x + 2x - 3
- x³ + x² + x - 3
-TheUnknownScientist
1. The Royals softball team played 125 games and won 60 of them. What percent of the games did they lose? A. 48% B. 52% C. 65% D. 75%
Answer:
52% or B.
Step-by-step explanation:
a boat used 1/24 of a gallon of gas to drive 1/3 of a mile.At this rate how many miles can the boat go using 1 gallon of gas.
The answer is:
8 miles
60 students in a school election 45% voted for aliyah. how many votes did aliyah get?
Answer:
27
Step-by-step explanation:
60 times .45 equals 27
Use the sketch tool to indicate what Edwin is describing as the parabola's "turning point."
Answer:
The sketch tool to indicate what Edwin is describing as the parabola's "turning point'' is described below in details.
Step-by-step explanation:
We can see in graph that it intersect X axis and it is open upward it means turning point is below X axis, we can find turning point by find maximum value of Y If open downward and minimum value, if open upward here we can find that minimum point is (3, -5). also you can draw axis of symmetry parabola and finds its intersection with turning point can also be named vertex of parabola.
Based on the given information, what will be the retained earnings for a given accounting period?
Items Amount ($)
total expenses 50,000
total income 75,000
dividend paid 5,000
A.
30,000
B.
15,000
C.
25,000
D.
20,000
Answer:
20,000
Step-by-step explanation:
It is right on plato/edmentum
You just take 75,000-50,000=25,000 and then since it is dividend paid you will subtract the 5,000 from 25,000 and then you will get 20,000.
So 20,000 is your answer. :)
f(x) =
[tex] \sqrt{ {x}^{2} } - 9[/tex]
PLS HELPPPPPPPPPPP Determine the approximate value of X round to the nearest hundredth
Answer:
Step-by-step explanation:
We can immediately elimate two answers since x cannot be larger than the hypotenuse, which is 9. You can cosine = adjaent/hypotenuse, which gives the equation cos(54) = x/9, which simplifies to x = 9*cos(54). When you plug this into a calculator, you should get 5.29. Keep in mind that 54 is measured in degrees and not radians because.
Answer:
D.) x = 5.29
Step-by-step explanation:
first find the last angle measure 180-90-54=36
use law of sines to find x
sin90/9=sin36/x
(sin90)(x) = (sin36)(9)
(sin90)(x) = 5.29
x = 5.29
Before last week's baseball game, Darnell did 50 knee lifts in 2 minutes.
Today, he will do knee lifts for 3 minutes. If he does them at the same rate,
how many knee lifts will Darnell do today? *
Answer:
^ratio/perbandingan (indonesia)^
2 minutes= 50 kbee lifts
3 minutes= ...... knee lifts
ok, enter:
50 × 3/2
=25 × 3
=75 knee lifts
FINALLY FOUND, M0DERATOR!!!56 = ?×?×?×? i want to know what number ecual yo 56 by multiplying it 4 times to get your answer
Answer:
4 * 14 = 56
Step-by-step explanation:
56/2 = 28
28/2 = 14
14/2 = 7
7/7 = 1
56 = 2 * 2 * 2 * 7
56 = (2 * 2) * (2 * 7)
56 = 4 * 14
How am I suppose to do this?
You should know dummy
2.1/(x+ 1 4/5)=3/10x
what is x?
please help
Answer:
x=0.3
Step-by-step explanation:
At King Kong High School, the average weight of senior boys is 168 lbs. with a standard deviation of 7 lbs. The average weight for senior girls is 117 lbs. with a standard deviation of 5 lbs. Suppose a new distribution is created by adding the boys' weights and the girls' weights together. Assuming that the weights for boys and girls are independent, which of the following is true?
I. The mean of this new distribution is 168 + 117.
II. The standard deviation of this new distribution is 5+ 7.
III. The variance of this new distribution is 52 + 72
A) I only
B) II only
C) I and II only
D) I and III only
E) I, II, and III
Answer:
I and III only. Got it correct on Stats test.
Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.
Given that, at King Kong High School, the average weight of senior boys is 168 lbs.
What is standard deviation?Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.
Here, a new distribution is created by adding the boys' weights and the girls' weights together.
So, the new average weight of senior boys and girls
= 168+117
= 285 lbs
The new standard deviation is 5+7
= 12 lbs
Thus, the mean of this new distribution is 168 + 117 and the standard deviation of this new distribution is 5+7. Therefore, option C is the correct answer.
Learn more about the standard deviation visit:
brainly.com/question/13905583.
#SPJ2
pls answer I give brainliest
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
please mark brainiest
Lin has two small baking pans, each shaped like a rectangular prism. For each question, explain or show your reasoning.
a. Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil is 1114 square inches. Its length is 412 inches. What is the width of the foil?
b. Lin's second pan has a length of 83 inches, a width of 154 inches, and the height of 32 inches. What is the volume of the second pan?
Answer:
2 1/2
Step-by-step explanation:
( 11 1/4 ) / ( 4 1/2 ) = 2 1/2
( 2 1/2 ) = 5/2
The width of the pan is 2.70 inches.
The volume of the pan is 409,024 inches³
A rectangular prism is a polyhedron with six faces and twelve edges. It is also known as a cuboid.
The width of the foil can be determined by dividing the area by the length.
Width = area / length
1114 / 412 = 2.70 inches
Volume of the pan =length x width x height
83 x 154 x 32 = 409,024 inches³
To learn more about rectangular prisms, please check: https://brainly.com/question/3174340
Tres y cuatro quintas partes de un numero es 36.
Answer:
136.8
Step-by-step explanation:
The answer is 136.8 becuase 3 4/5 of 36 is 136.8
P.S Can I have brainliest?
194 people must be split into 2 equal groups. how many people in eachgroup
fast if possible
Find the 50th term of the following arithmetic sequence.
13, 22, 31, 40,
---
Answer:
454
Step-by-step explanation:
The formula for this arithmetic sequence is: 9n+4
1st term: 9(1)+4 = 13
2nd term: 9(2)+4 = 22
3rd term: 9(3)+4 = 31
4th term: 9(4)+4 = 40
.
.
.
50th term: 9(50)+4 = 450+4
= 454
Solve for x: 3x − 2 > 5x + 10. (5 points)
1) x > 6
2) x −6
Answer:
[tex]x<-6[/tex]
Step-by-step explanation:
[tex]3x-2>5x+10[/tex]
Add 2 to both sides
[tex]3x-2+2>5x+10+2[/tex]
Simplify
[tex]3x>5x+12[/tex]
Subtract [tex]5x[/tex] from both sides
[tex]3x-5x>5x+12-5x[/tex]
Simplify
[tex]-2x>12[/tex]
Multiply both sides by [tex]-1[/tex] (reverse the inequality)
[tex](-2x)(-1)<12(-1)[/tex]
Simplify
[tex]2x<-12[/tex]
Divide both sides by [tex]2[/tex]
[tex]\frac{2x}{2} <\frac{-12}{2}[/tex]
Divide the numbers: [tex]\frac{2}{2} =1[/tex]
[tex]=x[/tex]
Divide the numbers: [tex]\frac{-12}{2}[/tex]
Apply fraction rule: [tex]\frac{-a}{b} =-\frac{a}{b}[/tex]
[tex]=\frac{12}{2}[/tex]
Divide the numbers: [tex]\frac{12}{2} =6[/tex]
[tex]=-6[/tex]
[tex]x<-6[/tex]
Answer:
x < -6
Step-by-step explanation:
I just took the test. When you are dividing by a negative variable, flip the sign.
write an equation for the line that passes through (2,-5) and is parallel to the line 2y=3x+10
Answer:
[tex]y = \frac{3}{2} x-8[/tex]
Step-by-step explanation:
Firstly, let's get y by itself in the equation.
[tex]y = \frac{3}{2}x + 5[/tex]
Parallel lines have the same slope, but not the same y intercept. So we have an equation like this:
[tex]y = \frac{3}{2}x + b[/tex]
To find b (aka the y-intercept), we need to plug in the ordered pair into the equation like this:
[tex]-5 = \frac{3}{2}(2) + b[/tex]
Now solve:
[tex]-5 = \frac{6}{2} + b\\-5 = 3 + b\\-8 = b[/tex]
We have found the y-intercept, now we can write the full equation:
[tex]y = \frac{3}{2} x-8[/tex]
I hope this helps!!
- Kay :)
Help me with this it’s for geometry
Answer:
x = 4
Step-by-step explanation:
The transversal line is perpendicular to both the parallel lines. So ,
[tex]21x+6=90\\=>21x=90-6=84\\=>x = \frac{84}{21} = 4[/tex]
help. answer is not D
Answer:
It would be C or B
Step-by-step explanation:
can't be A because A is 0 and there is no way you could be able to draw 0 lines so it would most likely be C
I need help on how to solve
Answer:
94 degrees
Step-by-step explanation:
triangle is 180
so 180-74-20=86
The exterior angle is 74+20=94
94 is exterior angle
Answer:
x = 94°
Step-by-step explanation:
Any triangle has three angles whose measures add up to a total of 180°.
This triangle has two known angle measures. First, find the missing interior angle measure.
180 - (74 + 20)
180 - 94
86
The missing interior angle's measure is 86°. An exterior angle is supplementary to its adjacent interior angle, which means that the measure of the interior angle plus the exterior angle measure is 180.
180 - 86
94
Another way to find out a missing exterior angle measure is to simply add the measures of the two nonadjacent interior angles.
74 + 20
94
I hope this helped :)
factor the gcf out of the expression: -6x^3 - 9xy + 18x
If you could help me out Thatd be great!
Answer:
-207xy
Step-by-step explanation:
-6x^3 - 9xy + 18x
-216x -9xy +18x
-225xy + 18x
-207xy
If I'm not mistaken.