Answer:
x = 2
Step-by-step explanation:
First, let's write out our equation:
[tex]2x-4=6-3x[/tex]
I want to isolate x on one side, so first, I'll add 4 to both sides to remove the -4 from next to 2x:
[tex]2x-4+4=6-3x+4\\2x=-3x + 10[/tex]
Notice that I combined like terms with the -4 and 4 (to get 0) and the 6 and 4 on the right side (to get 10). Next, I'll add 3x to both sides:
[tex]2x + 3x = -3x + 3x + 10[/tex]
And then I'll add like terms:
[tex]5x=10[/tex]
Now, all we have to do is divide both sides by 5:
[tex]5x/5=10/5\\x=2[/tex]
And there's our answer. Hopefully that's helpful! :)
Eric leaves his house on his bike. He rides at a constant speed until he reaches a lemonade stand, where he parks his bike and takes a rest. Then he turns around and bikes home as fast as he can.
Answer: What's even the question? It's not asking anything to solve
Step-by-step explanation:
A Taxi Service charges $1.00 for the first 1/10 mile then $0.10 for each additional 1/10 mile after that.
Fill in the table with the missing information then determine if this relationship between distance traveled and price of the trip is a proportional relationship.
distance traveled (mi) price(dollars)
9/10
2
3 1/10
10
Thnanks!
9 / 10 = Total Price: 1.90
2 = Total Price: 3.00
3 1 / 10 = Total Price: 4.10
10 = Total Price: 11.00
⦁ Determine the zeros of f(x) = (x + 1)^2(x – 3)(x – 4). Indicate the multiplicity of any factors that occur more than once.
Answer:
see explanation
Step-by-step explanation:
To find the zeros equate f(x) to zero , that is
(x + 1)²(x - 3)(x - 4) = 0
Equate each factor to zero and solve for x
x- 4 = 0 ⇒ x = 4
x - 3 = 0 ⇒ x = 3
(x + 1)² = 0 ⇒ (x + 1) = 0 , x + 1 = 0 ( 2 factors ) , then
x = - 1 with multiplicity 2
A triangle has sides with lengths of 7 kilometers, 14 kilometers, and 19 kilometers. Is it a right triangle?
Answer: No
Explanation: According to me, if you use the pythagorean formula which includes the formula of a right triangle. If you hold 7 and 14then the resulted length should have been 15. And if you place different positions like that, then none of the length comes the same so we can conclude that none of the sides have a right angle. However there is a possibility to have a right angle in a scalene triangle but it is unlikely here or most probably no.
can someone help me with this problem!
__ + (4) = -1
whats the missing number
( I swear I'm smart lol)
This is my question pls help!!!
Answer:
[tex]20 {e}^{9} {f}^{11} [/tex]
Show Work:
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times {e}^{0} [/tex]
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times 1[/tex]
[tex]5 {e}^{3} {f}^{3} \times 4 {f}^{8} {e}^{6} [/tex]
[tex]20 {e}^{9} {f}^{11} [/tex]
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times \times {f}^{8} \times {e}^{6} \times {e}^{0} \\ = 5 \times 4 \times {e}^{3 + 6 + 0} \times {f}^{3 + 8} \\ = 20 {e}^{9} {f}^{11} [/tex]
Answer:
[tex]20 {e}^{9} {f}^{11} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
a number card numbered from 1 to 30 is drawn randomly.what is the probability of getting the card having the number which is the multiple of 5 or 6
===================================================
Explanation:
A = multiples of 5 between 1 and 30
A = {5,10,15,20,25,30}
B = multiples of 6 between 1 and 30
B = {6,12,18,24,30}
There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}
The probability we want is 10/30 = 1/3
Angeline wants to buy eggnog at the store. It costs 4.76 for three cartoons. What is the unit rate for one carton?
Answer:
See image
Step-by-step explanation:
Simple way: The cost of three items is given. Divide by 3 to find the cost of one item.
Next level: write a proportion by comparing like quantities (compare things that are the same in the same order)
Cost/numbers of items = Cost/number of items
We know all but one piece of information:
4.76/3 = x/1
Solve for x to find the price of one carton.
Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not.
gb-m=9
Answer:
g=10
b=1
m=1
Step-by-step explanation:
In the figure, one exterior angle is drawn at each vertex of the triangle. Explain how to find the sum of the measures of these three exterior angles.
Explanation:
Here's one way:
At vertex A, draw the vertical angle to the given angle 4. That is, extend AC, rather than AB to show the exterior angle at that vertex.
Now, collapse triangle to one with zero area, so that vertices A, B, C lie on top of each other. You can do this using a dilation scale factor f such that f→0.
The result is that the exterior angles divide the circular space around point ABC into three parts that sum to 360°. Essentially, we have copied each of the exterior angles to the same vertex.
The sum of the measures of the exterior angles is 360°.
_____
Additional comment
This identical approach can be used to show the sum of exterior angles around any convex polygon is always 360°.
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Answer:
62%
Step-by-step explanation:
120-46=74
74/120 don't use
simplify 37/60
to percent; 62%
[tex]\sf 8x+12-8x+15+15x-22-x[/tex]
Let's get it done !
[tex]8x + 12 - 8x + 15 + 15x - 22 - x[/tex][tex]8x - 8x + 15x - x + 12+ 15 - 22[/tex][tex]14x + 5[/tex]Answered by : " Unknown "
Which sentence elaborates Akhenaton’s changes to Egyptian religion?
Answer:
sentences 3,4, and 5 elaborate on the changes but since only 4 is a possible answer it must be sentence 4.
Answer: Akhenaton dedicated that only the sun god Aten would be worshiped in Egypt.
Step-by-step explanation:
Write one way you can read the time. Like 3:55
first is 3:56
And is three fivety six
Thomas invested $1498.00 at 6% simple interest per annum calculate How long it will be before his investment earns $449.40
Answer:
t = 6 years
Step-by-step explanation:
Use the simple interest formula: i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.
Here we want to know how long it will take for the interest alone to reach $449.40. We first solve i = prt for t, obtaining t = i/(pr).
Here, the length of time is t = ($449.40) / (0.06*$1498.00). This works out to
t = 5.9947, or approximately 6 years.
t = 6 years
A sandwich shop has a catering program. There is a flat fee of $30.00 plus $5 per boxed lunch (sandwich, cookie, and bottled water) ordered. If a total order is $150 , how many boxed lunches were ordered?
24?
5?
6?
or 36?
I NEED HELP PLEASE!!!!!!!!!!!!!!!
Answer:
$2580
Step-by-step explanation:
$1500 dollars increased by 9%. In 8 years how much money he will have.
Ok, he has 1500 bucks in there
percents are an amount out of 100 so 9%=9/100
which, 9/100 in decimal form is .09
1500*.09 which is 135
135 dollars every year added
in 8 years, he will have earned 1080 bucks due to interest
1500+1080 which is 2580 dollars
he will have 2580
Answer:
1,616.60
Step-by-step explanation:
we know that
The compound interest formula is equal to
A=P(1+\frac{r}{n})^{nt}A=P(1+
n
r
)
nt
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
\begin{gathered}t=5\ years\\ P=\$1,500\\ r=1.5\%=1.5/100=0.015\\n=4\end{gathered}
t=5 years
P=$1,500
r=1.5%=1.5/100=0.015
n=4
substitute in the formula above
A=1,500(1+\frac{0.015}{4})^{4*5}A=1,500(1+
4
0.015
)
4∗5
A=1,500(1.00375)^{20}A=1,500(1.00375)
20
A=\$1,616.60A=$1,616.60
Solve the inequality 1/6(y-1)>3
[tex]\frac{1}{6} .(y-1)>3=>y-1>3.6=18=>y>18+1=19\\[/tex]
[tex]\frac{1}{6(y-1)} >3=>\frac{1}{6(y-1)} -3>0=>\frac{1-18(y-1)}{6(y-1)} >0\\=> \left \{ {{1-18(y-1)>0} \atop {6(y-1)>0}} \right. /or/\left \{ {{1-18(y-1)<0} \atop {6(y-1)<0}} \right. \\=>\left \{ {{19-18y>0} \atop {y-1>0}} \right. /or/\left \{ {{19-18y<0} \atop {y-1<0}} \right.\\ =>\left \{ {{y<19/18 } \atop {y>1}} \right. /or/\left \{ {{y>19/18} \atop {y<1}} \right.=>\frac{19}{18} >y>1[/tex]
P/s: I don't know exactly the question so i answer in 2 ways =))
ok done. Thank to me :>
What is 6x + 5x - 6 = 32 + 9x
Answer:
x = 19
Step-by-step explanation:
Step-by-step explanation:
6x + 5x - 6 = 32 + 9x
11x - 6 = 32 + 9x
Bringing like terms on one side
11x - 9x = 32 + 6
2x = 38
x = 38/2 = 19
please help asap!!! due tonight!!
Answer:
It might be -10:9 or 9: -10 Hope this helps :)
ugh i'm sicker than a dog :(
Oh im sorry feel better :( Im here if you need someone to talk to
Answer:
Sorry to hear that. I hope you feel better!
Step-by-step explanation:
Helppp it’s geometry I just have no clue how to do this so if your good at geometry plz take a look
Answer:
≈ 98.7
Step-by-step explanation:
What you want to use is Pythagorean Theorem
96 squared + 23 squared = c squared
≈ 98.7
London is deciding between two different movie streaming sites to subscribe to. Plan A costs $9 per month plus $1.50 per movie watched. Plan B costs $38 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if London watches xx per month, and let BB represent the monthly cost of Plan B if London watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if London plans on watching 26 movies each month
Answer:
Plan A is $3 cheaper can Plan B.
Step-by-step explanation:
first equation: 1.5t+9
second equation: .50t+38
Then substiute the 26 for x. So you get 48 for Plan A and 51 for Plan B. Then subtract so you can get 3, for Plan A is three dollars cheaper than Plan B.
could someone explain this to me?
================================================
Explanation:
Let's focus on the root x = 2i. Square both sides to get rid of the imaginary component and then get everything to one side.
x = 2i
x^2 = (2i)^2
x^2 = 4i^2
x^2 = -4
x^2+4 = 0
You should find that the root x = -2i leads to x^2+4 = 0 as well.
So the equation x^2+4 = 0 produces the complex roots x = 2i and x = -2i. This tells us that x^2+4 is a factor of the answer. The other factor is x-5 due to the real number root x = 5.
We'll multiply those two factors mentioned:
(x-5)(x^2+4)
w(x^2+4) ..... let w = x-5
wx^2 + 4w
x^2(w) + 4(w)
x^2(x-5) + 4(x-5) .... plug in w = x-5
x^3 - 5x^2 + 4x - 20
----------
The last step is to triple each term so that we go from the leading term of x^3 to 3x^3. This will give us a lead coefficient of 3.
So we go from this
x^3 - 5x^2 + 4x - 20
to this
3x^3 - 15x^2 + 12x - 60
after tripling everything. This expression has the same roots as the previous one. Scaling the function only stretches it vertically, but the roots aren't changed.
You want to determine the use of a graphing calculator on a test. is it Experimental or Observational
experimental I think probably
(4-13i)-(3+6i) how do you solve this I’ve been stuck
Answer:
1-19i
Step-by-step explanation:
help, please!! please have a small explanation
Answer:
18
Step-by-step explanation:
63/7 = 9
Reduction factor is 9
2x9 = 18
x = 18
Hope that helps
Answer:
x = 18
Step-by-step explanation:
63 divided by 7 equals 9, so 7 is 9 times smaller, meaning 2 must be too
2 times 9 is 18
x=18
PLSSS HELP THIS IS HARD ANYONE
Answer:
b: 8
Step-by-step explanation:
with dilating by 2, the B' figure would be bigger than B
because 4*2 = 8
K
The solution is k
K/6+5=17
The solution is k=
k=72
Explanation:
72/6=12
12+5=17
Answer:
k = 72
Step-by-step explanation:
This is a 2-step linear equation. It is solved in the usual way.
Step 1: add the opposite of the constant that is on the side with the variable
k/6 +5 -5 = 17 -5
k/6 = 12
Step 2: multiply by the reciprocal of the coefficient of the variable.
(k/6)(6) = (12)(6)
k = 72
Which equation could represent this graph?
f(x)=-2x-2
f(x)=-2x+2
f(x)=2x-2
f(x)=2x+2
Answer:
b. f(x) = -2x +2
Step-by-step explanation:
The graph has a negative slope (m < 0) and a positive y-intercept (b > 0). The only equation with those characteristics is ...
f(x) = -2x +2
_____
Additional comment
The line on the graph appears to fall by 2 grid squares for each 3 to the right. That means it has a slope of ...
m = rise/run = -2/3
None of the offered equations have that slope. We have to assume the graph is "not to scale". Hence we can only comment on the signs of slope and intercept, and not their values.
You may want to discuss this question with your teacher.