2x^2+2 + 3x^2- 1
I’m trying to combine like terms plz help
Answer:
5x^2+1
Step-by-step explanation:
2x^2 and 3x^2 are like terms so just add them which gives 5x^2.
2 and -1 are like terms so combine them to make 1.
Answer:
5x²-1
Step-by-step explanation:
We are given the expression:
[tex]2x^2+2 + 3x^2- 1[/tex]
and asked to simplify.
To simplify this expression, we must combine like terms.
2x²⇒ this has a variable, x²
2⇒ no variable
3x²⇒this has a variable, x²
-1⇒ no variable
Group the like terms.
[tex](2x^2 + 3x^2)+(- 1+2)[/tex]
Add 2x² and 3x². Add the coefficients and add an x² on the end.
[tex](2+3)x^2+(-1+2)[/tex]
[tex](5)x^2+(-1+2)[/tex]
[tex]5x^2+(-1+2)[/tex]
Combine -1 and 2.
[tex]5x^2+(-1)[/tex]
[tex]5x^2-1[/tex]
The expression 2x²+2+3x²-1 simplified is 5x²-1
what is the image of point (4, -2) after a dilation of 3?
Answer:
(12,-6)
Step-by-step explanation:
Answer:
(12,-6)
Step-by-step explanation:
When dilating points, you multiply both coordinates (x and y) by the scale factor.
The point we are given is: (4,-2) and the scale factor is 3.
Multiply each coordinate by the scale factor of 3.
X-coordinate: 4
4* 3= 12
New X-coordinate: 12
Y-coordinate : -2
-2 * 3= -6
New Y-coordinate: -6
Our new x-coordinate is 12 and y-coordinate is -6. Therefore, our point is (12,-6). So, the image of point (4,-2) after a dilation of 3 is (12, -6).
{x|x=4} on number line
Answer:
4gsjjsskkdhsjdjdkrkfofkjfjfkfktjgkgofogogjtjkfogog jkjfktjt jtktktky ktktjtj
Three-fifths of the employees at Mac's Discount
Grocery are female and one-fourth of the
employees are under the age of 18. If one-third
of the female employees are under the age of 18,
what is the ratio of males over the age of 18 to
males under the age of 18 who work at Mac's
Discount Grocery?
A) 7:4
B) 3:1
C) 4:1
D) 7:1
Let's assume that total employees are x .
Three - fifths of x is female employees .
→ Female employees = 3x/5 .
Then male employees will be :-
→ Male employees = x - 3x/5
So male employees are 2x/5 .
→ Employees under 18 = x/4
→ Female under 18 = one - third of total female employees.
→ Female under 18 = 3x/5 (1/3)
So Female employees under 18 are x/5 .
→ Now male under 18 = x/4 - x/5
So male under 18 are x/20Now male above 18 are = 2x/5- x/20
Male above 18 are 7x/20Ratio of Male above 18 : Male below 18
→ 7x/20 : x/20
→ 7 : 1
So the ratio is 7 : 1 .
A square field has an area of 12,100sqm. Find the
perimeter of the field.
a. 110m
b. 220m
C. 330m
d. 440m
Pls show working
Answer:
440m
Step-by-step explanation:
First you would square root the value 12100 to get one of the length of the square.
[tex]\sqrt{121000}[/tex]=110m
A square has four sides so,
110*4=440m
Answer:
440m
Step-by-step explanation:
Formula of a square's field : a square
So, area is 12,100. Then, let's take this value into the square root.
Now, we found the one edge of this square which is 110m
For finding perimeter, a square has a 4 edge. So, we multiple 110 x 4 = 440m.
if the lengths of pw and pq are given, can the length of QW be determined? justify your answer.
Answer:
See below
Step-by-step explanation:
If the points P, Q, W are located on the number line, then:
If P is located between points Q and W then QW = PQ + PWIf Q is located between points P and W then QW = PW - PQIf W is located between points P and Q then QW = PQ - PW
Carlos makes a shade of orange clay by mixing 18 grams of red clay with 3 grams of yellow clay. Anaya wants to make the same shade of
orange clay as Carlos. She has 1 gram of yellow clay. How many grams of red clay does Anaya need In order to make the same shade of
orange clay as Carlos?
Answer:
6
Step-by-step explanation:
You want to build a chair that does not rock from side to side when one of the legs is a different length than the others. How
many legs should the chair have?
Answer:
I think 3. The other 2 legs can have the same balance as the different leg.
There will be 3 legs in the chair.
Here,
We want to build a chair that does not rock from side to side when one of the legs is a different length than the others.
We have to find how many legs should the chair have.
How to find balanced position of an object with respect to their mass?
We can find it after observing the center of mass which is a position defined in respect to an object . It is the average position of all the particles of the system, placed according to their masses.
Now,
In order to make non rocked chair from side which has one leg of different length.
We have to place one leg in opposite side of legs of equal lengths to balance the chair.
So, there will be 3 legs in the chair.
To learn more about center of mass visit:
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Write the slope-intercept form of the vertical line containing (-2,2), if possible
Answer:
x=-2
Step-by-step explanation:
Vertical lines are of the form x=
The x coordinate is -2
x=-2
2. For the graph, find AB to the nearest tenth
y
8
А
6
B
Answer:
10.8
Step-by-step explanation:
AB can be calculated using the formula [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
The coordinates of A are when x = -2, y = -2
At B, x = 8, y = -6
Let,
[tex] A(-2, -2) = (x_1, y_1) [/tex]
[tex] B(8, -6) = (x_2, y_2) [/tex]
Plug the values into the formula.
[tex] AB = \sqrt{(8 - (-2))^2 + (-6 -(-2))^2} [/tex]
[tex] AB = \sqrt{(8 + 2)^2 + (-6 + 2)^2} [/tex]
[tex] AB = \sqrt{(10)^2 + (-4)^2} [/tex]
[tex] AB = \sqrt{100 + 16} [/tex]
[tex] AB = \sqrt{116} = 10.8 [/tex] nearest tenth
Can someone double check my answers real quick?
Answer:
its correct
Step-by-step explanation:
check
I need help with this question.
Answer:
k Nishant
Step-by-step explanation:
the correct answer is option negative
No idea on what to do.
Which of the following is an equation of the line that passes through the point (–2, 3) and is perpendicular to the graph of the equation y = 3x – 2? A. y = –13x + 73
B. y = –13x + 113
C. y = 3x + 9
D. y = 3x – 3
Answer:
A
Step-by-step explanation:
y=3x-2
or 3x-y=-2
any eq. of line perpendicular to it is
x+3y=a if it passes through (-2,3), then
-2+3(3)=a
a=7
so x+3y=7
or 3y=-x+7
y=-1/3 x+7/3
4x2y+5xy2+3x2y-2xy2
The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3/8 of the items barbecued or veggie burgers, and 1/3 of the items barbecued or corn cobs, what fraction of barbecued items are mushroom caps?
Answer:
7/24
Step-by-step explanation:
Let
total items barbequed = 1
Veggie burgers = 3/8
Corn cobs =1/3
Mushroom caps = x
Veggie burgers + corn cobs + x = 1
3/8 + 1/3 + x = 1
9+8 /24 + x = 1
17/24 + x = 1
x= 1 - 17/24
=24-17 /24
= 7/24
x = 7/24
Fraction of barbequed items that are mushroom's is 7/24
Answer:7/24
Step-by-step explanation:
plz help me :') im v bad at math
Answer:
D
Step-by-step explanation:
Just look at the scale and my answer and it will make sense
Answer:
[tex]\Large \boxed{\mathrm{\bold{D.} \ 5.50 \ g}}[/tex]
Step-by-step explanation:
Between numbers lie in the middle of two numbers.
[tex]\sf \displaystyle \frac{5+6}{2} =5.5[/tex]
The number in between 5 and 6 is 5.5.
The mass of the copper metal is 5.50 g.
Which of the following sets of ordered pairs is not a function
Answer:
((-1, 2), (1, 3), (1, 5), (-3, 4))
Step-by-step explanation:
For a set of ordered pairs to be considered a function, a domain value should have exactly just 1 range value.
If a domain value is having more than 1 range value assigned to it, it is not a function. In order words, an x variable value should have exactly just one y variable value assigned to it.
x variables are domain values while y variables are the range values.
In the ordered pairs, ((-1, 2), (1, 3), (1, 5), (-3, 4)), the two pairs, (1, 3), (1, 5), have the same x variable value with different y-variable values assigned to each. This renders the set of ordered pairs not to be a function. Domain value 1, is having different range value of 3 and 5.
what is 7.2910 rounded to the nearest tenth
Answer:
7.3
Step-by-step explanation:
Tenth is the first digit after decimal sign
Given number is:
7.2910Since the next digit after the tenth digit is 9>5, we add 1 to tenth digit and drop the rest digits on the right of digit 2
So we get:
7.3 as rounded numberThe quotient of 10 and a number
Answer: Hi!
To make an expression that represents ten and a number being divided (hence, quotient) we will use the variable x for the unknown number:
10 ÷ x
You would use this expression to represent the quotient of 10 and a number.
Hope this helps!
The quotient of 10 and a number is equal to [tex]\frac{10}{n}[/tex].
Let the unknown number be n.In Mathematics, quotient simply means division i.e the division of a particular number by another number.
In this exercise, you will simply divide the value of 10 by n.
Therefore, translating the word sentence into an algebraic expression, we have;
Quotient of 10 and a number is:
[tex]Quotient = \frac{10}{n}[/tex]
Read more: https://brainly.com/question/22970937
Find the measure of d. A. 76 B. 74 C. 16 D. 14
Answer:
B
Step-by-step explanation:
∠ c = 90° ( angle in a semicircle ), thus
d = 180° - (16 + 90)° = 180° - 106° = 74° ( angles in a Δ )
If one angle is 16° then the measure of angle d is 76°.
What is angle?An angle is the figure formed by two rays called the sides of the angle, sharing a common point called the vertex of the angle.
How to find angle?We know that each angle of a rectangle and square is equal to 90°. When we observe the given figure then we can see that angles are formed in a rectangle and a,b,c,d,14 and 16 all are in rectangle, so in this way, 14°+d=90°.
d=90-14
d=76°
Hence if one angle is 16° then the measure of angle d is 76°.
Learn more about angles at https://brainly.com/question/25716982
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Which one of the following technological activities would most likely have a negative linear correlation coefficient over the course of the last 5 years? A. the number of text messages sent from a cell phone B. number of phone calls made on a cell phone C. the number of emails sent from a computer D. number of phone calls made on a landline
Answer: D) phone calls made on a landline
More and more people are using cellphones, because of the convenience of having your phone with you at all times. From an economical standpoint, it doesn't make sense to pay for both a cell phone and a landline (especially if your budget is thin). So many people have decided to drop having a landline all together. The less people using a landline produces a negative downward trend, which is why we have negative linear correlation.
Find the value of x round to the nearest tenth
Answer:
Approximately 18.0.
Step-by-step explanation:
To find x, we can use the Law of Cosines.
The Law of Cosines is the following:
[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]
Now that the c is the side we're trying to find. Thus, the c is x. Also, Angle C is the angle opposite to c (or x). a and b are the two sides next to Angle C.
Plug in x for c, 16 for a, 30 for b, and 30 for Angle C:
[tex]x^2=(16)^2+(30)^2-2(16)(30)\cos(30)\\x^2=1156-960\cos(30)\\x=\sqrt{1156-960\cos(30)} \\x\approx18.0171[/tex]
(Use a calculator. Make sure you're in degree mode!)
Answer:
18
Step-by-step explanation:
to be more precise from the answer above :)
bc i know people will type 18.0 in the box when it's actually 18.
The mass of a bacteria culture doubles every four days. If the initial sample is 5mg: a) how much will you have after one week (7 days). B) how long does it take to reach a mass of 320mg?
Answer:
a) 16.82 mg
b) 24 days
Step-by-step explanation:
Formula for exponential growth is given as:
[tex]A=A_0b^{\frac{t}{c}}[/tex]
Where A is the final population
[tex]A_0[/tex] is the initial population
b is the growth factor
c is the time taken for the growth 'b'
t is the amount of time
Here, We are given the following:
[tex]A_0[/tex] = 5 mg
b = 2 (Given because it doubles)
c = 4 days
a) A = ?
Using the formula:
[tex]A=5 \times 2^{\frac{7}{4}}\\\Rightarrow A=5 \times 2^{1.75} \\\Rightarrow A = \bold{16.82\ mg}[/tex]
b) Given
A = 320 mg
t = ?
Using the above formula again:
[tex]320 = 5 \times 2^{\frac{t}{4}}\\\Rightarrow \dfrac{320} 5= 2^{\frac{t}{4}}\\\Rightarrow 2^{\frac{t}{4}} = 64\\\Rightarrow 2^{\frac{t}{4}} = 2^6\\\Rightarrow \dfrac{t}{4} = 6\\\Rightarrow t = 6 \times 4\\\Rightarrow \bold{t = 24\ days}[/tex]
So, the answers are:
a) 16.82 mg
b) 24 days
What type of graph is this?
complete graph
cycle graph
Answer:
complete graph
Step-by-step explanation:
In the mathematical field of graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. A complete digraph is a directed graph in which every pair of distinct vertices is connected by a pair of unique edges
hope it helps :)
please mark it the brainliest!
Answer:
it would be a complete graph
Step-by-step explanation:
Question 5 Multiple Choice Worth 4 points)
(08.07 MC)
Jake's tower bed has a length of 10 feet and a width of 19 feet. Which of the following is true?
The area of the flower bed is equal to 10 square feet
The area of the flower bed is larger than 10 square feet
The area of the flower bed is equal to 8 square feet.
The area of the flower bed is smaller than 8 square feet
ANSWER FAST FOR BRAINLY CROWN!!!!
Answer:
The answer is
Step-by-step explanation:
The area of the flower bed is larger than 10 square feet.
Hope this helps....
Have a nice day!!!!
Explain how to use a number line to find the opposite of integers 4 units away from-6
Answer:
The opposite of integer 4 units away from -6 is 10.
Step-by-step explanation:
We know that the opposite of the opposite of a number, say 2, is the number itself.
That is:
Opposite of 2 is -2.
Then the opposite of -2 is:
- (-2) = 2
Now consider a number line.
The number that is 4 units away from -6 is -10.
4 units away implies moving backwards 4 units from -6.So, the number is -10.
The opposite of -10 will be:
- (-10) = 10
Thus, the opposite of integer 4 units away from -6 is 10.
through: (3, 3) and (-5, 4)
Hi,
a line is define by the following equation : y = ax+b
where a is the slope, and b the value for x = 0
so you have : a*3 +b = 3 for the first point
a*(-5) +b = 4 for second point
so you have a system : 3a+b =3
-5a+b = 4
so : 3a+b -(-5a) -b = 3-4
3a+5a +b-b = -1
8a = -1
a = -1/8
then a = -1/8 so , in remplacing a by it's value in one equation , b is : 3(-1/8) +b = 3
-3/8 +b = 3
b = 3 +3/8
b = 24/8 +3/8
b = 27/8
let's check : 3 (-1/8) + 27/8 = -3/8 +27/8 = 24/8 = 3
first point is correct
-5( -1/8) + 27/8 = 5/8 +27/8 = 32/8 = 4
second point is correct
line is y = -1/8X +27/8
2. The radius of a circle is 9 cm. Find the area of the circle
(Use 3.14 as the approximation of T.)
Answer:
Area of a Circle = 254.34 cm²
Step-by-step explanation:
Area of a Circle = π r²
Area of a Circle = 3.14 * 9²
Area of a Circle = 254.34 cm²
A graph has time on the x-axis and distance from home on the y-axis. Part A increases, part B is constant, part C increases, part D is constant, and part E increases. Which of these descriptions matches the graph? Jimmy is walking to a friend’s house at a constant rate. Jimmy is running late, so he starts to run to school but needs to take breaks. Jimmy is riding the bus to school at a decreasing rate. Jimmy’s bus drives at the same speed for parts A and C.
Answer: B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
6c - 8 - 2c - 16
What is the solution
Answer:
4 (c - 6)
Step-by-step explanation:
Simplify the following:
6 c - 2 c - 16 - 8
Hint: | Group like terms in 6 c - 2 c - 16 - 8.
Grouping like terms, 6 c - 2 c - 16 - 8 = (6 c - 2 c) + (-8 - 16):
(6 c - 2 c) + (-8 - 16)
Hint: | Combine like terms in 6 c - 2 c.
6 c - 2 c = 4 c:
4 c + (-8 - 16)
Hint: | Evaluate -8 - 16.
-8 - 16 = -24:
4 c + -24
Hint: | Factor out the greatest common divisor of the coefficients of 4 c - 24.
Factor 4 out of 4 c - 24:
Answer: 4 (c - 6)