Answer:
5x( x^2 + 2x +3)
Step-by-step explanation:
5x^3 + 10x^2 + 15x
What is common to all three terms
5 xxx + 5*2*xx + 5*3*x
We can factor out 5x
5x( x^2 + 2x +3)
Inside the parentheses cannot be factored so we are done
Answer:
5x ( x^2 + 2x +3 )
Step-by-step explanation:
First we hv to take the common terms out from all the three terms...
So......
If we take 5x from 5x^3 it will bcm x^2
If we take 5x from 10^2 it will bcm 2x
if we take 5x from 15x^2 it will bcm 3
Therefore the final expression will bcm
5x ( x^2 + 2x +3 )
Hope this helps.....
3-2y-1+5x^2-7y+7+4x^2
Answer: Hi!
The only thing we can do to simplify the equation is combine like terms.
5x^2 + 4x^2 = 9x^2
-2y - 7y = -9y
3 - 1 + 7 = 9
Our equation now looks like this:
9x^2 - 9y + 9
We have nothing left to simplify, so we're done!
Hope this helps!
Translate the following phrase into an algebraic expression. use the variable n to represent the number. 4 less than triple a number
Work Shown:
n = a number, aka a placeholder for a number
3n = triple a number
3n-4 = four less than triple a number
So whatever n is, we multiply by 3 and then subtract off 4.
As an example, if n = 12, then 3n-4 = 3*12-4 = 36-4 = 32.
Winnie is 10 years younger than her boss Greg. In 8 years, Winnie will be half as old as Greg will be then. How old is Greg now?
Answer:
12
Step-by-step explanation:
In 8 years, the difference in their ages will still be 10 years. If Winnie is half as old as Greg then, Greg will be 20 in 8 years (and Winnie will be 10).
Greg is 12 years old now.
___
Winnie is 2 years old now.
PLEASE HELP ME!!! I will mark brainliest!!!
The image above shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?
Answer:
parallel lines
Step-by-step explanation:
Lines IJ and KL are parallel. Since in a dilation there is no rotation, a line becomes either the same line or a parallel line.
Rebecca is saving money to purchase a laptop, which costs $1,099.51. She has already saved $354.20 and plans to continue
saving $50.60 per week. Which inequality could be used to find w, the number of weeks that Rebecca must save in order to
purchase the laptop?
OA $354.20 + $50.60w < $1,099.51
OB. $354.20w+ $50.60 $1,099.51
OC $354.20 + $50.60w< $1,099.51
OD. $354.20 + $50.60w $1,099.51
Answer:
354.20 + 50.60w ≥ 1099.51
Step-by-step explanation:
354.20 + 50.60w ≥ 1099.51
Evaluate the function below at x=5. Then, enter your solution. f(x)=3(2)^x
Answer:
Solution: f(5) = 96
Step-by-step explanation:
f(5) = 3(2)^5
f(5) = 3 (2 × 2 × 2 × 2 × 2)
f(5) = 3 (32)
f(5) = 96
John earns $6 per hour for mowing the lawn. If t represents John's total earnings for h hours of mowing, which equations can be used to model the situation
Answer:
h=6
Step-by-step explanation:
help please i need the answer to this
Answer:
140 degrees
Step-by-step explanation:
first start by making the given angles equal each other because they are congruent.
2x+28=6x+4
Subtract 4 on both sides
2x+24=6x
subtract 2x on both sides
24=4x
divide both sides by 4 to get x
24/4=4x/4
6=x
next to find the actual number of the angle, plug 6 back into either one of the equations. Im gonna use the first one.
2x + 28
2(6) + 28
12+28= 40
Now that we have the number, we already know that a full circle is 360 degrees so half a circle is 180.
Take 40 and subtract from 180
180-40= 140
Well, m∠1 and m∠3 are congruent by the Vertical Angle Congruent Theorem (VACT). This means that because the angles are opposite of each other, their angles are the same because they are formed by the same two intersecting lines.
Because of this, we can set m∠1 and m∠3 equal to each other:
m∠1 = m∠3
(2x + 28) = (6x + 4)
2x + 28 = 6x + 4
-4x + 28 = 4
-4x = -24
-x = -6
x = 6
Knowing that x equals 6, we can use this to find m∠2. By the Supplementary Angles Theorem (SAT), angles that are on the same line add up to equal 180°. To use the SAT, we need to plug x in to find m∠1 or m∠3, because they are both the same:
x = 6
m∠1 = (2x + 28)
m∠1 = 2(6) + 28
m∠1 = 12 + 28
m∠1 = 40°
m∠3 also equals 40°.
Now that we have the value for ∠1 (or ∠3), we can use the SAT:
m∠2 + m∠3 = 180 ← You could also use m∠1, because they both equal the same!
m∠2 + 40 = 180
m∠2 = 140°
So, the measure of ∠2 is 140°.
If you have any questions, feel free to ask! :)
A box contains 20 oranges and 10 grapes what is the probability of picking a grape from the box?
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
First, let's find how many total items there are in the box.
If there are 20 oranges and 10 grapes, then there are [tex]20+10=30[/tex] items in the box.
Now, if there are 10 grapes in this box, we know that the probability of picking a grape is [tex]\frac{10}{30}[/tex] because the total is the denominator and the number of items for that selection is the numerator.
We can simplify this fraction down to [tex]\frac{1}{3}[/tex].
Hope this helped!
Answer:
1/3
Step-by-step explanation:
Kim is buying an equal number of ounces of gummy bears and chocolate drops for her friends. Kim has $10 to spend at the store. If gummy bears cost $0.50 per ounce and chocolate drops cost $0.75 per ounce, how many ounces of each type of candy can she buy?
Answer:
she can buy 13.333 repeating ounces (13 as a full number) of chocolate drops or 20 ounces of gummy bears.
Step-by-step explanation:
take the amount of money you have, $10 and divide that by the price per ounce $10÷.5=20
Answer:
8 ounces
Step-by-step explanation:
Imagine X is the number of ounces she can buy for each type
.5 (x) the gummy and .75 (x) the chocolage = 10
combine like terms.
1.25 (X) = 10
X = 8
.5 (8) + .75(8) = 10
4+ 6 = 10
Show that the rational numbers -15/35 and 4/(-6) are not equal?
Answer:
-15÷35 is different from 4÷-6
Step-by-step explanation:
-15÷35=-3/7
4÷-6=-2/3
-3/7 is different from -2/3
ABC is an eqilateral triangle with sides 10cm find the length of the prependicular from A to BC
All sides are equal in an equilateral triangle and the perpendicular bisects the side too.
so BC will be bisected and the segments be 5 each.
you can use Pythagoras theorem to find the altitude length, hypotenuse will be one side of the triangle.
[tex] 5^2+h^2=10^2[/tex]
$h^2=100-25=75$
$h=\sqrt{75}=5\sqrt3$
What is the solution to the equation? Show your work and explain your answer. 4(x+2)−1=4x+7
Answer:
infinitely many solutions / all real numbers
Step-by-step explanation:
distribute the 4 on the left side of the equation
4 • x = 4x
4 • 2 = 8
4x + 8 - 1 = 4x + 7
combine like terms
4x + 7 = 4x + 7
0 = 0
since this expression is true, there are infinitely many solutions
Find the volume of the given shapes. Round to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
5.
volume=l×w×h=8×6×7=336 mi³
6.
diameter=16 yd
radius=16/2=8 yd
[tex]volume=\frac{4}{3} \pi \times 8^3=\frac{2048}{3} \pi \approx 2144.67 \approx 2144.7 yd^3[/tex]
Which expression is equivalent to -3+(-9)?
O 3+ (-9)
0 –9 – (-3)
Submit Answer
0-3 – (-9)
0-3 - 9
Answer:
-3-9
Step-by-step explanation:
+(-) = -
what is square root of the product of the number z and itself
Answer:
[tex]\large\boxed{z}[/tex]
Step-by-step explanation:
What is square root of the product of the number z and itself?
Break down into smaller parts
What is the product of the number z and itself?
Product = multiply
Write an equation multiplying z by itself
z * z
Bring back the full question: What is the square root of the product of the number z and itself?
Now we can just add a [tex]\sqrt{}[/tex] to the front of our equation to solve the problem.
[tex]\sqrt{z * z}[/tex]
Simplify
z * z = [tex]z^{2}[/tex]
[tex]\sqrt{z^{2} }[/tex]
In this case, the square root cancels out the exponent ([tex]z^{2}[/tex]), so [tex]\sqrt{z^{2} }[/tex] can simplify to z.
Hope this helps :)
Solve the equation 1) 4.3^x+1 = 27+9^x
2) 3^x+5= 3^x+3+8/3
Answer:
Step-by-step explanation:
4*3^x+1=27+(3^2)^x
(3^2)^x=(3^x)^2
3^x=t
4t+1=27+t^2
t^2-4t+27-1=0
t^2-4t+26=0
delta=4^2-4*1*26=16-84=-68<0
the equation has not real solutions
Is the relation a function?
Answer:
Yes it's a function
Step-by-step explanation:
Need help will give good rating.
Answer:
the third one is correct
Answer:
Step-by-step explanation:
dlklf,vkvkdcñclcdliffoSimplify.
-4a(3a - 6)
First change the -6 to plus a negative 6.
Then distribute the -4a through the parentheses.
So we have -4a(3a) + -4a(-6).
Remember that -4a(3a) is -12a² and -4a(-6) is 24a.
So the answer is -12a² + 24a.
Answer:
-12a^2 +24a
Step-by-step explanation:
-4a(3a - 6)
Distribute
-4a*3a -4a * -6
-12a^2 +24a
In the figure shown, what is the measure of angle x? (5 points) 115 degrees 130 degrees 145 degrees 150 degrees
Answer:
x=115
Step-by-step explanation:
180 - (115) =65(triangle)
65 + x = 180(on a line)
x=180-65
x = 115
Answer:
115 degrees
Step-by-step explanation:
the person above me is right, but there is an easier way.
Just add 50 and 65 degrees and boom you have your answer.
What percent of 500 is 125
Answer:
25%
Step-by-step explanation:
125 of 500 can be written as: 125 /500
To find a percentage, we need to find an equivalent fraction with the denominator 100. Multiply both numerator & denominator by 100.
125 /500 × 100 /100
= ( 125 × 100/ 500 ) × 1 /100 = 25 /100
Answer:
25%
Step-by-step explanation:
Of means multiply and is means equals
P *500 = 125
Divide each side by 500
P = 125/500
P = .25
Change to percent form
P = 25%
A soccer team has 18 players. 5 of the players have scored at least 4 goals this season. Approximately what percent of the players have scored
at least 4 goals?
Select the best answer from the choices provided.
O A. 1596
OB.
30%
Ос.
6096
D
7596
Answer:30%
Step-by-step explanation:you divide 18 by 100 and then multiply that by 30 and it gives you 5.4 which is close to 5 players. So 30% is the answer
Please help! Find the surface area of the composite figure
Answer:
Step-by-step explanation:
area of base=6×6=36 m²
surface area of four walls=4×6×12=144 m²
area of top= area of four triangles=4×1/2×6×5=60 m²
total surface area=36+144+60=240 m²
x + 12 = 6 what is the answer
Answer:
-6
Step-by-step explanation:
x + 12 = 6
- 12 - 12
so
12-12=0
6-12=-6
put into equation
x + 0 = -6
x = -6
The sum of Rhonda and her daughter Tenica’s age is 64. The difference in their ages is 28. How old is each person?
Answer:
The mother (Rhoda) is 46 years old.
The daughter (Tenica) is 18 years old
Step-by-step explanation:
Let the age of the mother (Rhoda) be m
Let the age of the daughter (Tenica) be d.
The sum of Rhonda and her daughter Tenica’s age is 64. This can be written as:
m + d = 64 ... (1)
The difference in their ages is 28. This can be written as:
m – d = 28 ... (2)
From the above illustrations, the equation obtained are:
m + d = 64 ... (1)
m – d = 28 ... (2)
Solving by elimination method:
Add equation 1 and 2 together
. m + d = 64
+ m – d = 28
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
2m = 92
Divide both side by 2
m = 92/2
m = 46
Substitute the value of m into any of the equation to obtain the value of d. Here, we shall use equation 1
m + d = 64
m = 46
46 + d = 64
Collect like terms
d = 64 – 46
d = 18
Therefore, the mother (Rhoda) is 46 years old and the daughter (Tenica) is 18 years old.
What are the irrational numbers between minus 12 and plus 49
Answer:
First, an irrational number is a number that has infinite digits after the decimal point, in such way that those digits do not form any pattern.
The irrational set is called a dense set, wich means that in between two elements of the set, we can find infinite other elements of the set.
For example, between 1 and 2, we have
1.12312412513513532....
1.123224124312432432....
and between those two numbers, we can find infinite irrational numbers, and so on.
Then between -12 and +49, we have infinite irrational numbers.
from a group of 25 men,12 were to be given gifts.What is the probability of choosing a man who did not a gift
Answer:
13/25
Step-by-step explanation:
When you subtract 12 from 25, you get 13. So, 13 men did not get a gift.
Hence,
the probability would be 13/25 of the men who did not get a gift.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Teresa earns $8.23 per hour. Calculate her wage for a week where she
works 14h 30min.
Answer:
$119.335
Step-by-step explanation:
8.23 per hour
14h 30 mins = 14.5 hrs
8.23*14.5 = 119.335
Answer:
238.67
Step-by-step explanation:
HELP ASAP YOU WILL GET BRAINLEIST AND I WILL THANK AND RATE 5 IF RIGHT
Three people are standing on a Cartesian coordinate plane. Robert is standing at point $(4,3)$, Lucy at point $(6,1)$, and Liz at point $(1,7)$. How m. any units away is the farther person from Robert? 3 minutes ago Let f and g be inverse functions. Find f(g(8)).
Answer: Liz is further away. Her distance from Robert is 5 units.
=================================================
Work Shown:
R = Robert's location = (4,3)
L = Lucy's location = (6,1)
Z = Liz's location = (1,7)
We need to find the lengths of segments RL and RZ to find out which person (Lucy or Liz) is further from Robert.
Use the distance formula to find the length of each segment. Let's start with the distance from R to L
[tex]d = \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}\\\\d = \sqrt{(4-6)^2+(3-1)^2}\\\\d = \sqrt{8}\\\\d \approx 2.828427\\\\[/tex]
The distance from Robert to Lucy is approximately 2.828427 units.
--------------
Now find the distance from R to Z
[tex]d = \sqrt{(x_1+x_2)^2+(y_1+y_2)^2}\\\\d = \sqrt{(4-1)^2+(3-7)^2}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]
The distance from Robert to Liz is exactly 5 units. We see that Liz is further away from Robert, compared to Lucy's distance from him.