Answer:
1 + 5x
Step-by-step explanation:
Like terms are terms with the same variable parts.
Let's look at each term:
3 it has no variable
5x it has the variable x
-2 it has no variable
The terms 3 and -2 have no variables, so their variable parts are the same. They are like terms and can be combined. The term 5x has the variable part x. There is no other term with the same variable part as 5x, so 5x cannot be combined with anything.
3 + 5x - 2 =
= 3 - 2 + 5x
= 1 + 5x
A coin is flipped 25 times and lands on heads 16 times. Based on the experimental probability, how many heads would you predict for 200 flips of the coin?
Answer:
128 heads.
Step-by-step explanation:
From the experiment the probability = 16/25.
So the number of heads expected is (16/25) * 200
= 16 * 8
= 128.
Answer:
128 heads is the answer
Step-by-step explanation:
16/25=.64
.64*200=128
I would predict that it would land on heads 128 times if you flipped the coin 200 times.
3. Which of the following quadratic equations has no solution? A) 0 = −2(x − 5)2 + 3 B) 0 = −2(x − 5)(x + 3) C) 0 = 2(x − 5)2 + 3 D) 0 = 2(x + 5)(x + 3)
Answer:
D) 0 = 2(x + 5)(x + 3)
Step-by-step explanation:
Which of the following quadratic equations has no solution?
We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.
A) 0 = −2(x − 5)2 + 3
0 = -2(x - 5) × 5
0 = (-2x + 10) × 5
0 = -10x + 50
10x = 50
x = 50/10
x = 5
Option A has a solution of 5
B) 0 = −2(x − 5)(x + 3)
Take each of the factors and equate them to zero
-2 = 0
= 0
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Option B has a solution by one of its factors as a positive value of 5
C) 0 = 2(x − 5)2 + 3
0 = 2(x - 5) × 5
0 = (2x -10) × 5
0 = 10x -50
-10x = -50
x = -50/-10
x = 5
Option C has a solution of 5
D) 0 = 2(x + 5)(x + 3)
Take each of the factors and equate to zero
0 = 2
= 0
x + 5 = 0
x = -5
x + 3 = 0
x = -3
For option D, all the values of x are 0, or negative values of -5 and -3.
Therefore the Quadratic Equation for option D has no solution.
Find LCM of
[tex]p {}^{2} - pq \: and \: pq \: - q {}^{2}[/tex]
Answer: LCM = pq(p - q) = p²q - pq²
Step-by-step explanation:
p² - pq pq - q²
∧ ∧
p (p - q) q (p - q)
p² - pq: p · (p - q)
pq - q²: q · (p - q)
GCF: (p - q)
LCM: p · q · (p - q)
What is 4(x-7)=2(x+3)?
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
4(x−7)=2(x+3)
Simplify both sides of the equation.
4(x−7)=2(x+3)
4x+−28=2x+6
4x−28=2x+6
Subtract 2x from both sides.
4x−28−2x=2x+6−2x
x−28=6
Add 28 to both sides.
2x−28+28=6+28
2x=34
Divide both sides by 2.
2x/2 = 34/2
x = 17
Answer:
x = 17
Step-by-step explanation:
[tex]4(x-7)=2(x+3)\\\\4x-28=2x+6\\\\4x-28+28=2x+6+28\\\\4x=2x+34\\\\4x-2x=2x-2x+34\\\\2x=34\\\\\frac{2x=34}{2}\\\\ \boxed{x=17}[/tex]
Hope this helps.
The given function k is a composition of two functions m
and n so that k(x) = (
mn)(x).
If n(x) = 4x - 7, m(x) must be equal to which
expression?
k(x) =
VAX-7
O z&x
2
Ο Ο Ο Ο
룺
Done
Helpppppo
Answer:2/4 √x (2 over 4 square root x)
Step-by-step explanation:
Answer:
Answer is D if your using edgenity.
Step-by-step explanation:
The answers are never mixed up, so it will always be the last one.
You work at a flower shop designing bouquets. You need to create bouquets of roses and calla lilies for a wedding. Calla lilies cost you $2.40 each and roses cost $1.90 each. If you need 64 of each type of flower, how much money do you need to spend to make the bouquets?
The total money needed $ 275.2
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Calla lilies cost you $2.40.
roses cost $1.90.
If we need 65 lilies then it will cost
=64 * 2.40
= $153.60
and, If we need 65 roses then it will cost
=64 * 1.90
= $121.60
So, the total money needed
=153.6 + 121.6
=$ 275.2
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
If Log 4 (x) = 12, then log 2 (x / 4) is equal to A. 11 B. 48 C. -12 D. 22
Answer:
[tex]\huge \boxed{\mathrm{D. \ 22}}[/tex]
Step-by-step explanation:
[tex]\mathrm{log_4 (x)=12}[/tex]
Make the base 4 from both sides.
[tex]\mathrm{4^{log_4 (x)}=4^{12}}[/tex]
Simplify the equation.
[tex]\mathrm{x=16777216}[/tex]
[tex]\mathrm{log_2 (\frac{x}{4} )}[/tex]
Let x = 16777216
[tex]\mathrm{log_2 (\frac{16777216}{4} )}[/tex]
[tex]\mathrm{log_2 (4194304)}[/tex]
Evaluate.
[tex]22[/tex]
Answer:
[tex]log_2(\frac{x}{4} )=22[/tex]
which is your answer "D"
Step-by-step explanation:
If [tex]log_4(x)=12[/tex] this means that : [tex]x=4^{12}[/tex] based in the definition of logarithm.
And this exponential expression can also be written using that [tex]4=2^2[/tex]:
[tex]x=4^{12}=(2^2)^{12}=2^{24}[/tex]
so now we know what x is with base 2 (which is needed for the second expression:
[tex]log_2(\frac{x}{4} )=?[/tex]
And this also can be written in exponent form (using the unknown "?" we need to find) as:
[tex]2^?=\frac{x}{4} \\x=4\,*\,2^?\\x=2^2\,*\,2^?\\x=2^{2+?}[/tex]
Since we know the value of x in base 2 (from our first analysis), then:
[tex]x=2^{2+?}=2^{24}\\then\\2+?=24\\?=22[/tex]
Therefore,
[tex]log_2(\frac{x}{4} )=22[/tex]
How do I write the following expression on my computer?
Answer:
YOU HAVE TO WRITE YOUR QUESTION ON COMPUTER AS ,
Step-by-step explanation:
4/(2*x-3)
I hope it will work
If f(x) = 4x + 1, find f(3).
Replace x with 3. Then simplify
f(x) = 4x+1
f(3) = 4(3)+1
f(3) = 12+1
f(3) = 13
Answer:13
Step-by-step explanation:
You place 3 in place of x then multiply 4 and 3. You would get 12. Then you add 1. Which is 13.
Quick help please 10 points Multiply (-4)(-2)(-5) A -40 B -8 C 8 D 40
Answer:
A -40
Step-by-step explanation:
Answer:
the correct answer is D. 40
Simplify. Write your answer as an integer 27 2/3
Answer:
83/3 is ur answer .......
what is the length of CC’
Answer:
5.385 Units
Step-by-step explanation:
5²+2²=c²
25+4=c²
29=c²
c=√29
c=5.385
Answer:8
Step-by-step explanation:
The equation x2+y2−16x+6y+73=100 can be rewritten as [g(x)]2+(y+3)2=100.Write an expression for g(x).
Answer: g(x) = (x - 8)
Step-by-step explanation:
We start with the equation:
x^2 + y^2 - 16*x + 6*y + 73 = 100.
And we want to write this as:
g(x)^2 + (y + 3)^2 = 100.
So both equations are equal, then we can write this as:
x^2 + y^2 - 16*x + 6*y + 73 = g(x)^2 + (y + 3)^2
First we can expand the right side:
g(x)^2 + (y + 3)^2 = g(x)^2 + y^2 + 2*3*y + 9
Then we have:
x^2 + y^2 - 16*x + 6*y + 73 = g(x)^2 + y^2 + 6*y + 9
Now we can cancel the equal terms in each side, like y^2 and 6*y
x^2 - 16*x + 73 = g(x)^2 + 9
Now let's subtract 9 in each side:
x^2 - 16*x + 73 - 9 = g(x)^2
x^2 - 16*x + 64 = g(x)^2
Then we can assume that g(x) = (x - a)
then:
x^2 - 16*x + 64 = (x - a)^2 = x^2 - 2*a*x + a^2
-16*x + 64 = -2*a*x + a^2
now we must find the value of a, we have two equations:
-2*a = -16
a^2 = 64
and each equation yields to:
a = -16/-12 = 8.
a = √64 = 8
Then we have: g(x) = (x - 8)
Completing the squares, it is found that: [tex]g(x) = x - 8[/tex]
--------------------------------
The expression given is:
[tex]x^2 + y^2 - 16x + 6y + 73 = 100[/tex]
To complete the squares:
First, each first order term(-16 and 6) are divided by 2.Then, we write as the square of (x - 8) and (x + 3).Then, we have to find the squares on the other side of the equality.--------------------------------
Doing these steps:
[tex](x - 8)^2 + (y + 3)^2 = 100 - 73 + 8^2 + 3^2[/tex]
[tex](x - 8)^2 + (y + 3)^2 = 100 - 73 + 64 + 9[/tex]
[tex](x - 8)^2 + (y + 3)^2 = 100[/tex]
Which means that:
[tex]g(x) = x - 8[/tex]
A similar problem is given at https://brainly.com/question/16269892
A certain game is played on a board that shows a portion of the xy-coordinate plane. During one move in the game, a marker at a point (a,b) is first moved to the point (b,a) and then moved 3 units to the left. During such a move, a marker that is at (4,3) will be moved to
Answer: (0,4)
Step-by-step explanation:
Given: During one move in the game, a marker at a point (a,b) is first moved to the point (b,a) . (i)
And then moved 3 units to the left. (ii)
Translation rule to move a point (x,y) c units left : (x,y)→(x-c,y)
Now, (4,3) first will become (3,4) [using (i)]
Then, (3,4)→(3-3,4)=(0,4) [using (ii) and translation rule]
Hence, During such a move, a marker that is at (4,3) will be moved to (0,4).
-12x - 60 = 144. Find the value of x.
Answer: x = - 17
Step-by-step explanation:
−12x−60=144
add 60 to both sides
-12x-60+60=144+60
simplify
-12x=204
divide both sides by -12
-12/-12 = 204/-12
simplify and ur Answer!! is x=-17
Which point could represent 5/3 ?
Based on the number line provided for this exercise (see attachment), a point which could represent 5/3 is given by C.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
Based on the number line provided for this exercise (see attachment), a point which could represent 5/3 is given by C:
1 < C < 2
Read more on number line here: brainly.com/question/24644930
#SPJ1
Juan went to the store to buy some apples. The price per pound of the apples is $4 per pound and he has a coupon for $1.25 off the final amount. With the coupon, how much would Juan have to pay to buy 4 pounds of apples? Also, write an expression for the cost to buy p pounds of apples, assuming at least one pound is purchased.
Answer:
I don’t know this one sorry
Step-by-step explanation:
Ms. Gantt has a $15 gift card to Starbucks. She buys 2 muffins for $2.65 each, 2 hot chocolates for $1.79 each, and a juice for $3.05. How much remains on her gift card? Help please I will mark you brainiest.
Answer:
Remains on her gift card:
$3.07
Step-by-step explanation:
15 - ((2*2.65) + (2*1.79) + (1*3.05))
= 15 - (5.3 + 3.58 + 3.05)
= 15 - 11.93
= 3.07
Remains on her gift card:
$3.07
John has gross biweekly earnings of $743.61. By claiming 1 more withholding allowance, John would have $19 more in his take home pay. How many withholding allowances does John currently claim?
Answer:
Total withholding allowances are 39.
Step-by-step explanation:
Given the gross earning of John = $743.61
It is given that 1 withholding allowance = $19
Now we have to find the total number of withholding allowances. Here, the number of withholding allowances can be determined by dividing the total earnings with $19.
Number of withholding allowances = 743.61 / 19 = 39.14 or 39 (round off).
For what value or values of b is it true that |b| = -b
Answer:
b =0
Step-by-step explanation:
The only value where |b| = -b is when b=0
|0| = -0
0 = 0
Absolute value means non- negative
non-negative = negative
This is only true when we equal zero
Answer: b = 0 or anything negative (like b = -2)
So any value of b such that [tex]b \le 0[/tex]
==================================================
Explanation:
|b| is the distance from b on the number line to 0
The distance is never negative as negative distance does not make sense.
If b was some positive number, then |b| = b. For instance, |7| = 7. This shows 7 is seven units away from 0 on the number line.
----------
If b is negative or zero, then |b| = -b. Why? Because the result of |b| is the opposite of whatever negative b value you put in. For example, b = -2 leads to
|b| = |-2| = 2
while
-b = -(b) = -(-2) = 2
The two negatives cancel each other out to get a positive result.
This shows, |-2| = -(-2) = 2
Meaning that the location -2 is two units away from 0 on the number line.
Jake wants to find out which can of pineapple is the best buy. He has a choice of four different-size cans. Which can has the lowest unit price per ounce
Answer:
Step-by-step explanation:
Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in a the park that is 3 miles long. Then she'll take the same way home. she wants to ride a total of 22 miles. The inequality 3t + 10 ≥ 22 models this situation, where t is the number of times Elena went around the loop. Solve the inequality. How many times does Elena need to go around the loop?
Answer:
Solution : 4 or more times
Step-by-step explanation:
As the inequality is given to us, it makes this a bit simpler.
3t + 10 ≥ 22 ( Subtract 10 on either side )
3t ≥ 12 ( Divide 3 on either side )
t ≥ 12 / 3 ≥ 4
And hence we have a solution of t ≥ 4. Elena will ride around the loop 4 or more times.
Andrea makes Mother's Day bouquets each year for extra income. This year her goal is to make $300. If she sells each bouquet for $12.50, how many bouquets must she sell to reach her goal?
Answer:
24 bouquet
Step-by-step explanation:
300 divide by 12.50
Point C lies on BD, If BC = 52.39 mm and
CD = 21.83 mm, what is the length of BD?
37.11 mm
15.28 mm
B) 30.56 mm
74.22 mm
The length of the straight line → BD is 74.22 mm.
What is a line segment?A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.
Given is a line BD such that point C lies on BD. Also, BC = 52.39 mm and
CD = 21.83 mm.
We can say that for a straight line -
BD = BC + CD
The given measurements are -
BC = 52.39 mm
CD = 21.83 mm
Substituting the values, we get -
BD = 52.39 + 21.83
BD = 74.22 mm
Therefore, the length of the straight line → BD is 74.22 mm.
To solve more questions on Line segments, visit the link below-
https://brainly.com/question/28245289
#SPJ2
What is the mean of the data set?
61, 38, 40, 53
Answer:
48
Step-by-step explanation:
You are solving for the mean of the data set. To do so, add all the numbers together, and divide by the amount of numbers in the set.
Note that there are 4 numbers given to you: 38, 40 , 53, 61.
First, add the 4 numbers together:
38 + 40 + 53 + 61 = 192
Next, divide 4 from the total gotten:
192/4 = 48
48 is the mean of the data set.
~
Answer:
48Step-by-step explanation:
[tex]Mean = \frac{Total \: value}{no \:of \:given \:data} \\\\=\frac{61+ 38+ 40+ 53}{4}\\\\=\frac{192}{4} \\\\= 48[/tex]
The football team need to buy Gatorade for Saturdays big game . They have two option. The first option us they can buy it pre-made in a 48 ounce for $3.84 for each bottle. Or they can buy packet and mix it with water. Each packet make 64 ounces and it will cost $4.80. Find the ounce per cost
The question is incomplete. Here is the complete question.
The football team needed to buy Gatorade for Saturday's big game. They have two options. The first option is they can buy it pre-made in 48 ounces bottles for $3.84 for each bottle. Or they can buy packets and mix with water. Each packet makes 64 ounces and will cost $4.80.
a) Find the cost per ounce of each.
b) Which size costs less?
c) The team will need to buy 192 ounces of Gatorade. How much do you save using the choice from answer b?
Answer: a) Pre-made: $0.08 cost per ounce; Packet: $0.075 cost per ounce
b) Packets
c) Save $0.96.
Step-by-step explanation:
a) Cost per ounce:
Pre-made:
[tex]\frac{3.84}{48}[/tex] = 0.08
Packet:
[tex]\frac{4.8}{64}[/tex] = 0.075
b) Comparing costs per ounce, packets costs less than pre-made.
c) Buying packets, the cost will be:
0.075*192 = $14.4
Buying pre-made:
0.08*192 = $15.36
Comparing costs, pre-made is 0.96 more than packets, so they will save 96 cents.
how to put these in a simply form?
(-2)* (-2)* 10 *10 *10 *10.
21*21*21+(-1)(-1)(-1)(-1).
Answer:
370,4440,001
Step-by-step explanation:
(-2) • (-2) • (10) • (10) • (10) • (10) = 40,000
21 • 21 • 21 = 9261
(-1) • (-1) • (-1) • (-1) = 1
(40,000) (9261) + 1
(370,440,000) + 1 = 370,4440,001
--
exponents
(-2)² + 10⁴ + 21³ + (-1)⁴
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,2) and (8,8)
Answer:
≈ 7.2
Step-by-step explanation:
Use distance formula:
d = √(8-4)² + (8-2)²
GUYS PLEASE HELP ME ASAP!!!Jason is saving up to buy a new phone that costs $490 (I wish they were still this cheap). So far, he's saved $175. He would like to buy the camera no later than 3 weeks from now. What is the inequality used to represent how much he must save every week to have enough money to purchase the camera? (hint: when the wording is tricky, as it is in this problem, solve the problem as if it were an equation. That is to say, as if Jason was trying to save the money in exactly 3 weeks. Then decide on the sign that makes most sense).
Answer:
175-3x=490
Step-by-step explanation:
he only has 3 weeks, which is a time limit, so it would be -3x instead of +3x, he only has 175, so he needs more, so it's positive. Hope this is correct (:
Answer:
I believe the answer is $105
Step-by-step explanation:
Well you have the price of the phone which is $490 and you also have saved $175 towards the new phone.
I used substraction $175 from $490 leaves $315.
Then i divided $315 by 3 weeks and got $105 .
Find X and HM, M is the midpoint of HQ
Answer:
Step-by-step explanation:
4x + 2 = x + 11
3x + 2 = 11
3x = 9
x = 3
4(3)+2= 12+2 = 14
3+11= 14
14+14= 28=HQ