[tex]\large\textsf{Hey there!}[/tex]
[tex]\large\textsf{\# 1.}[/tex]
[tex]\large\textsf{4x} \times\large\textsf{3x}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS}[/tex]
[tex]\large\textsf{4x}\times\large\textsf{3x = \bf 12x}\mathsf{\bf ^2}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf 12x}\bf ^2}}\huge\checkmark[/tex]
[tex]\large\text{\# 2.}[/tex]
[tex]\mathsf{\dfrac{2}{3}+\dfrac{1}{4}}[/tex]
[tex]\mathsf{= \dfrac{2\times4+1\times3}{3\times4}}[/tex]
[tex]\mathsf{2 \times 4 = \bf 8}[/tex]
[tex]\mathsf{1 \times 3 = \bf 3}[/tex]
[tex]\mathsf{3\times 4 = \bf 12}[/tex]
[tex]\mathsf{= \dfrac{8 + 3}{12}}[/tex]
[tex]\mathsf{8 + 3 = \bf 11}[/tex]
[tex]\mathsf{= \dfrac{11}{12}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{11}{12}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Lmk if you understand thanks
Answer:
y = 100,000 (1 + 0.04) ²⁰
Step-by-step explanation:
Here:
100,000 = original amount.
0.04 = rate (a percent)
and
20 = number of times you need to run the simulation.
The president of the math club is conducting a survey to see where the 12th grade class wants to go to their field trip. Instead of asking the whole class, she surveys only the 12th grade members of the math club. She records the choices and plans to present the results to the school principal. what kind of sampling did she use?
Convenience sampling.
What is the slope of the line?
Answer:
1/2
slope = Δy/Δx
start at (-1,3) to get to the line from there you can go down 1 ( Δy = -1)
and left 2 (Δx = -2)
-1/-2 = 1/2
Step-by-step explanation:
An _____________________________ is an answer that falls outside of the domain of the function.
Answer:
irrelevant is the answer for it doesn't belong
Two cars that are 600km apart are moving towards each other. Their speeds differ by 6km per hour and the cars are 123km apart after 4.5 hours. Find the speed of each car
Answer: [tex]56\ kmph,\quad 50\ kmph[/tex]
Step-by-step explanation:
Given
Two cars are 600 km apart moving towards each other
Difference in their speed is 6 kmph
After 4.5 hr, they are 123 km apart that is, they covered a distance of [tex]600-123=477\ km[/tex] in 4.5 hours
Suppose their speeds is [tex]v_1\ \text{and}\ v_2[/tex]
[tex]\therefore v_1-v_2=6\quad \ldots(i)[/tex]
Also, distance traveled is given by
[tex]\Rightarrow 477=[v_1+v_2]4.5\\\Rightarrow v_1+v_2=106\quad \ldots(ii)[/tex]
Solve, (i) and (ii) , we get [tex]v_1=56\ kmph\ \text{and}\ v_2=50\ kmph[/tex]
what's the equation of a line with slope 5 and y-intercept -2
Answer
Slope-intercept form: y=5x-2
Standard form: 5x-y=2
Explanation
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. You can just plug in the numbers to go y=5x-2.
Standard form is Ax+By=C. This form is usually used to find the x-intercept and y=intercept. You can rearrange the numbers to get standard form; 5x-y=2.
What is the term for this question?
f ( x ) = 1 x − 6 , g ( x ) = 6 x + 1 x Use composition to prove whether or not the functions are inverses of each other. Express the domain of the compositions using interval notation.
Answer:
Two functions f(x) and g(x) are inverses if and only if:
f( g(x) ) = x
and
g( f(x) ) = x
In this case, we have:
f(x) = 1*x - 6
g(x) = 6*x + 1
Let's check if the functions are inverses.
f( g(x) ) = 1*g(x) - 6 = 1*(6x + 1) - 6 = 6x + 1 - 6 = 6x - 5
and
g( f(x) ) = 6*f(x) + 1 = 6*(1x - 6) + 1 = 6x - 36 + 1 = 6x - 35
So we can see that:
f( g(x) ) ≠ x
g( f(x) ) ≠ x
Thus, f(x) and g(x) are not inverses.
Particularly, the two compositions are:
f( g(x) ) = 6x - 5
g( f(x) ) = 6x - 35
Both of these are linear functions, thus the domain in both cases is the set of all real numbers, that can be written as:
domain = (-∞, ∞)
if c/d - a/b =x, a =2c, and b=5d, what is the value of c/d in terms of x?
a) 2/3 x
b) 3/4 x
c) 4/3 x
d) 5/3 x
Answer:
d)
Step-by-step explanation:
c/d - 2c/5d = 5c/5d - 2c/5d = 3c/5d = x
3c/d = 5x
c/d = 5x/3 = 5/3 × x
Lucy ran 3 1/2 miles on Monday 5 3/5 on Tuesday 2 1/3 force on Thursday and 6 2/3 on Friday find the total distance and she ran this week
18.1
Answer:
18.1 miles
Step-by-step explanation:
TOTAL distance= sum of individual distance
[tex]3 \times \frac{1}{2} + 5 \times \frac{3}{5} + 2 \times \frac{1}{3} + 6 \times \frac{2}{3} [/tex]
[tex] = 18.1miles[/tex]
Answer:
18 1/10
Step-by-step explanation:
Add the total distances
Get a common denominator of 30
3 15/30 + 5 18/30 + 2 10/30 + 6 20/30
16 63/30
16 + 60/30 +3/30
18+3/30
18 1/10
I need help plz I don’t understand
Answer:
Step-by-step explanation:
If AD is an altitude, then by definition it drops from the vertex angle (the top angle) and meets the base at a right angle, which measures 90 degrees. That means that 17x + 73 is a right angle:
17x + 73 = 90 and
17x = 17 so
x = 1
Jeanette wants to raise $3,200 in a marathon fundraiser. Her sponsers will donate
$35 for each (whole) kilometer she runs this summer.
The minimum amount Jeanette will have to run to reach her goal of $3, 200 is
kilometers.
Answer:
92
Step-by-step explanation:
= 3200 ÷ 35
= 91.43
round up to nearest whole number
= 92 km
Solve the following system of equations. -5x - 4y= -11 7x + 3y = 18
Step-by-step explanation:
-5x - 4y= -117x + 3y = 18
-5x +117x = 3y + 4y = 18
112x = 7y = 18
find the rationalizing factor of:
a)³√16
b)√27
c) ³√4
plz solve these questions,I will make u brainliest if correct.
Answer:
Check out the answer. Hope it helps!!
The second sail has one side of length 22 feet and another of length 2 feet. Determine the range of possible lengths of the third side of the sail.
Answer:
20 < L < 24
Step-by-step explanation:
We know that in any given triangle, the length of two sides is always greater than the length of the third side.
Since the sail is a triangle having length of one side as 22 feet and the length of another side as 2 feet, and let L be the length of the third side.
It follows from our triangle rule of sides above that
22 + 2 > L (1)
22 + L > 2 (2)and
L + 2 > 22 (3)
It follows that from (1)
22 + 2 > L
⇒ 24 > L (4)
It follows that from (2)
22 + L > 2
⇒ L > 2 - 22
⇒ L > - 44 (5) and
It follows that from (3)
L + 2 > 22
⇒ L > 22 - 2
⇒ L > 20 (6)
Since from (5) and (6),
L > -44 and L > 20
and 20 > -44 ⇒ L > 20
⇒ 20 < L (7)
From (4) 24 > L ⇒ L < 24 (8)
Combining (7) and (8), we have
20 < L < 24
So, the possible range of values of the third side are 20 < L < 24
A machine with velocity ratio of 5 is used to raise a load with an effort of 500N . If the machine is 80% efficient , determine the magnitude of the load.
Answer:
Solutions given:
Velocity ratio V.R =5
effort =500N
efficiency =80%
magnitude of load=?
mechanical advantage [M.A ]
we have
efficiency =M.A/V.R*100%
80=M.A./5*100
80/100*5=M.A
M.A.=4
again
we have
M.A =load/effort
4=load/500
load=500*4
load=2000N
the magnitude of the load is 2000N.QUICK HELP! ): 20 POINTS!
A group of friends goes Sky diving, using a parachute to fall in a straight line from (1,45) to (3,36). If they keep going in a straight line, at what coordinates will they land on the x-axis?
Answer:
at x = 11
0 =-4.5X +49.5
x = 49.5/4.5
x = 11
Step-by-step explanation:
x1 y1 x2 y2
1 45 3 36
(Y2-Y1) (36)-(45)= -9 ΔY -9
(X2-X1) (3)-(1)= 2 ΔX 2
slope= -4 1/2
B= 49 1/2
Y =-4.5X +49.5
For the following inequality, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the inequality. Be sure to include at least two terms from the word bank.
Word Bank
sum difference product quotient
equal variable solution inverse
add subtract multiply divide
more than less than greater than inequality
greater than or equal to less than or equal to equation negative
-9 x > 27
Answer:
divide both sides by -9.
because of the negative sign of this multiplication factor the inequality changes from "greater than" to "less than".
x < -3
that is the solution to this inequality.
Someone please help me understand this question. Its timed and Im really confused and cant afford to miss questions.
Answer:
B For each x increase of 1, the y increases by a common factor of 3
Step-by-step explanation:
so it means that y is adding 3 every time x adds 1
Answer:D
The last one explanation of that graphic line is correct answer.
i need help in this plzz
Answer:
[tex]8x^{4}[/tex]
3n-10
(a÷5)+12
Step-by-step explanation:
Numbers listed as in the picture.
70) 8 * [tex]x^{4}[/tex]= [tex]8x^{4}[/tex]
71) 3 * n -10= 3n-10
72) 12+ a/5= (a÷5)-12
Please help me ASAP, Thank you very much
Answer:
B
Step-by-step explanation:
first you can cross out choices C and D because the equation that they gave you has a positive y-intercept
so it has to be shifting 10 units up
now you're left with choices A and B
the answer is choice B because the slope is 5 which is also 5/1 (rise over run)
that would mean that it's gradually growing slimmer (the function)
you can also check by graphing it and it indeed is slimmer than y=x^2
so that concludes that it is being stretched vertically
Question 5 of 10
Which choice is equivalent to the quotient shown here when x > 0?
Answer:
xsqrt(2)
Step-by-step explanation:
sqrt(14x^3) / sqrt(7x)
We know sqrt(a) / sqrt(b) = sqrt(a/b)
sqrt(14x^3/7x)
sqrt(2x^2)
sqrt(ab) = sqrt(a) sqrt(b)
sqrt(2) sqrt(x^2)
sqrt(2) x
xsqrt(2)
Absolute value equations HELP PLEASE! ALGEBRA!
Answer:
[tex]4.\\\text{E. }x=5, x=-6,\\\\5.\\\text{A. }x=7, x=-3\\\\\text{18.}\\\text{D. No mistakes.}[/tex]
Step-by-step explanation:
For [tex]a=|b|[/tex], there are two cases:
[tex]\begin{cases}a=b,\\a=-b\end{cases}[/tex]
Question 4:
Given [tex]5|2x+1|=55[/tex],
Divide both sides by 5:
[tex]|2x+1|=11[/tex]
Divide into two cases and solve:
[tex]\begin{cases}2x+1=11,2x=10, x=\boxed{5}\\-(2x+1)=11,2x+1=-11, 2x=-12, x=\boxed{-6}\end{cases}[/tex]
Therefore, the solutions to this equation are [tex]\boxed{\text{E. }x=5, x=-6}[/tex].
Question 5:
Given [tex]\frac{1}{2}|4x-8|-7=3[/tex],
Add 7 to both sides:
[tex]\frac{1}{2}|4x-8|=10[/tex]
Multiply both sides by 2:
[tex]|4x-8|=20[/tex]
Divide into two cases and solve:
[tex]\begin{cases}4x-8=20,4x=28, x=\boxed{7}\\-(4x-8)=20, 4x-8=-20, 4x=-12, x=\boxed{-3}\end{cases}[/tex]
Therefore, the solutions to this equation are [tex]\boxed{\text{A. }x=7, x=-3}[/tex]
Question 18:
There are no mistakes in the solution shown. The answer properly isolates the term with absolute value with no algebraic mistakes. Following that, the answer divides the equation into both absolute value cases and solves algebraically correctly. Therefore, the correct answer is [tex]\boxed{\text{D. No mistakes.}}[/tex]
1. The diagram shows a triangle OAB and point M is a point on AB. Rajah menunjukkan segi tiga OAB dan titik M ialah satu titik pada AB. A 5 5a M 0 B ub Given OA= 5a , OB = 4b and 2 AM =3MB, find vector Diberi OA=5a, OB = 4b dan 2 AM =3MB, cari vektor (a) AB [4b – 5a (b) OM 12 2a +
we have to find the value of the x°=<GHC
In the triangle BDH,
<D=31°
<B=47°
we know that,
Sum of three angle of a triangle is 180°
According to the question,
<D+<B+<BHD=180°
31°+47°+<BHD=180°
78°+<BHD=180°
<BHD=180°-78°
<BHD=102°
But,
<GHC and <BHD forms a straight line
so,
<GHC+<BHD=180°
102°+x=180°
x=180°-102°
x=78°
Therefore,
The value of x is 78°
Use the data in the table to complete the sentence.
х
-2
-1
0
1
y
7
6
5
4
The function has an average rate of change of ______.
Answer:
-1
Step-by-step explanation:
Increasing the x-value by one results in the y-value decreasing by 1. Therefore, the average rate of change is -1.
Answer: -1
Step-by-step explanation: ;)
GEOMETRY HELP PLEASE
Answer:
symmetric property
Step-by-step explanation:
Multiplication property would require multiplication
Subtraction property would require subtraction
Reflexive property says x=x
The symmetric property says if a=b then b=a
OD = DO
OF = FO
14 less than 8 times a number is 3 more than 4 times the number. What is the number?
Answer:
x = 17/4
Step-by-step explanation:
Let x = the number
8x-14 = 4x+3
Subtract 4x from each side
8x -14-4x = 4x+3-4x
4x-14 = 3
Add 14 to each side
4x-14+14 = 3+14
4x = 17
Divide by 4
4x/4 = 17/4
x = 17/4
in 10 words or fewer, what other numbers do you think are in the domain of this function?
Answer:
Numbers greater than or equal to 0.
Step-by-step explanation:
The domain of this function is {x∈R | x≥0}, meaning that x can be anything greater than or equal to 0.
Hi can anyone help me do this question,I will mark brainlest.
Answer:
11. 40.5
12. 84
Step-by-step explanation:
!!kinda urgent!!
You decide to put $150 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 2.5% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds?
Answer:
119.95 years
Step-by-step explanation:
The general equation is given by:
[tex]P = A*(1 + \frac{r}{n} )^{n*t}[/tex]
Where:
A is the initial amount, we know that the first deposit is of $150, then:
A = $150
t is the variable, in this case, is the number of years.
n = number of times that the interest is compounded in one unit of t, because the interest is compounded monthly, we have n = 12.
r = interest rate in decimal form.
r = 2.5%/100% = 0.025
Replacing these in our equation, we get that:
[tex]P = 150*(1 + \frac{0.025}{12} )^{12*t}[/tex]
Now we want to find the time such that his savings, P, are equal to $3000.
Then we need to solve the equation:
[tex]P = 150*(1 + \frac{0.025}{12} )^{12*t} = 3000[/tex]
[tex](1 + \frac{0.025}{12} )^{12*t} = 3000/150 = 20\\[/tex]
Now, remember that:
Ln(a^x) = x*ln(a)
So if we apply the natural logarithm to bot sides, we get:
[tex]Ln((1 + \frac{0.025}{12} )^{12*t}) = Ln( 20)\\\\(12*t)*Ln(1 + \frac{0.025}{12}) = Ln(20)\\\\t = \frac{Ln(20)}{12*Ln(1 + \frac{0.025}{12})} = 119.95[/tex]
So after 119.95 years you will have the $3000.
