Answer:
Solving the expression [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex] we get [tex]\mathbf{n=-\frac{36}{5} }[/tex]
Step-by-step explanation:
We need to solve the expression: [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex]
Solving:
[tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex]
First we convert mixed fraction into improper fraction
[tex]\frac{3}{4}n=-\frac{7}{4}n-18[/tex]
Now adding 7/4 n on both sides
[tex]\frac{3}{4}n+\frac{7}{4}n=-\frac{7}{4}n-18+\frac{7}{4}n\\\frac{3}{4}n+\frac{7}{4}n=-18[/tex]
Now, taking LCM on left side
LCM of 4 and 4 is 4
[tex]\frac{3}{4}n+\frac{7}{4}n=-18\\\frac{3*1n+7*1n}{4}=-18\\\frac{3n+7n}{4}=-18\\\frac{10n}{4}=-18[/tex]
Now, multiply both sides by 4/10
[tex]\frac{10n}{4}\times \frac{4}{10} =-18\times \frac{4}{10}\\n=-\frac{36}{5}[/tex]
So, solving the expression [tex]\frac{3}{4}n=-1\frac{3}{4}n-18[/tex] we get [tex]\mathbf{n=-\frac{36}{5} }[/tex]
simplify the sum. d^2-5d+6/d^2+d-6 + d^2-4d-5/d^2+3d+2
Answer:
B. (2d^2 - 3d-21)/((d+2)(d+3))
Step-by-step explanation:
(d^2 - 5d + 6)/(d^2 + d - d) + (d^2 - 4d-5)/(d^2+3d+2)
(d^2 - 5d + 6)/(d^2 + d - d) = (d-3)/(d+3)
(d^2 - 4d-5)/(d^2+3d+2) = (d - 5)/(d+2)
(d-3)/(d+3) + (d - 5)/(d+2)
Least common Multiplier of d + 3 and d + 2 is (d+3)(d+2)
((d-3)(d+2))/((d+3)(d+2)) + ((d-5)(d+3))/((d+2)(d+3))
((d-3)(d+2)+(d-5)(d+3))/((d+3)(d+2))
(2d^2 - 3d - 21)/((d+2)(d+3))
Which graph represents the equation y − 6 = -(x − 4)?
Answer: Am thinking (0,10)
Step-by-step explanation:
Answer:0,10, 10,0.
Step-by-step explanation:
The equation is in point-slope form, y − y1 = m(x − x1), where the slope, m, is -1, and the line goes through the point (4,6).
Use the slope to find a second point on the line. So, from the point (4,6), go down 1 unit and to the right 1 unit. Therefore, the line also goes through the point (3,5).
This is the graph showing a line that goes through (4,6) and (3,5).
Linda left home and drove for 2 hours. She stopped for lunch then drove for another 3 hours at a rate that is 10 mph higher than the rate before she had lunch. If the total distance Linda traveled is 250 miles, what was the rate before lunch
Answer:
44 mph
Step-by-step explanation:
Given that:
Before lunch :
Time taken = 2hrs ; at speed = x mph
After lunch :
Time taken = 3hrs ; at speed = x + 10 mph
Total distance covered = 250 miles :
Distance = speed * time
(2 * x) + (3 * (x + 10)) = 250
2x + 3x + 30 = 250
5x + 30 = 250
5x = 250 - 30
5x = 220
x = 220/ 5
x = 44 mph
Rate before lunch is 44mph
HELP!!!..........................................
Answer:
A.) the function is increasing on the interval (-∞, 0) and decreasing on interval (0,∞)
Step-by-step explanation:
Write down in terms of n the expression for the nth term of the following sequences : 12,10,8,6,4
Answer:
n-2
because 12-2=10
convert n √a into pure surds
Answer:
√n²a
Step-by-step explanation:
aaand this app needs 20 characters
1/8 × 2/3=?
4/5 × 3/8=?
8/9 × 1 1/4= ?
5 1/3 × 2 1/4=?
1/4 × 9 1/2
3/5 × 10/21
4/5 × 3
1/8 × 4 2/3
20 × 3 1/5
2 1/3 × 2 1/3
Answer:
1/12
3/10
22/9
357/4
91/8
2/7
12/5
7/4
124
49
hope this will help you
Answer:
i dont understand the question please be more precise
Step-by-step explanation:
Please help ME?!!!!!!
Answer:
29 is your answer. I hope this helps you! Let me know if I got something wrong or if you need more help :)
Step-by-step explanation:
First, apply distributive property to 3(2+8). 3×2 and 3×8.
[tex]15 + (6 + 24) - 4^2[/tex]
Add 6 and 24.
[tex]15 + 30 - 4^2[/tex]
Simplify [tex]4^2[/tex]. [tex]4^2[/tex] is the same as 4×4. 4 times 4 is 16.
[tex]15 + 30 - 16[/tex]
Add 15 and 30.
[tex]45-16[/tex]
Subtract.
[tex]29[/tex]
29 is your answer. I hope this helps you! Let me know if I got something wrong or if you need more help :)
Please help!! :( Needs to be done soon
Step-by-step explanation:
12x - 6 3x+3 6(2x-1)
1 = 6 1 = 6 1 = 6
2 = 18 2 = 9 2 = 18
3 = 30 3 = 12 3 = 30
The equivalent expressions are 12x-6 and 6(2x-1)
Im not the smartest in Math and this is giving me a headache. Any ideas?
Estimate 63,266 -42,657 by first rounding each number to the nearest thousand.
Answer:
106,000
Step-by-step explanation:
A marathon is 32 miles long. By noon, Roger had ran 3/4 of the distance. How many more miles did he need to run to finish the race? (You may choose your strategy)
NEED HELP ASAP FIND the missing side of the triangle
Answer:
20
Step-by-step explanation:
using Pythagoras theorem:
29²-21²= 400
√400 = 20
Given f(X) =-X+ 6 write an equation for f(x + 3).
Answer:
3 - x
Step-by-step explanation:
f(x) = -x + 6
f(x + 3)
Substitute (x + 3) in for x;
f(x + 3) = -(x + 3) + 6
= - x - 3 + 6
= -x + 3
Given points ( - 2, 3) and ( 9, 3 ) which expression can be used to find the distance between the two points?
Answer:
|-2| + |9|= 11
Step-by-step explanation:
d=(9−(−2))2+(3−3)2−−−−−−−−−−−−−−−−−−√
d=(11)2+(0)2−−−−−−−−−−√
d=121+0−−−−−−√
d=1–√21
d=11
could be confusing.
Solve for x.
Question 4 options:
A)
12
B)
13
C)
10
D)
11
Answer:
A cuz x+6 is double x-3 so divide them and equate it to 2 you'd get x+6 = 2x-6
12=2x-x
Write -3.625 as a mixed number
Answer:
negative three five over eight
Step-by-step explanation:
PLEASE HELP! Is the following trinomial factorable why or why not
h=-4(4t^(2)-9t+2)
Answer:
h = -4(t - 2)(4t - 1)Step-by-step explanation:
Given trinomial
h= -4(4t² - 9t + 2)Let's try to factor 4t² - 9t + 2
First find it's zeros:
t = (9 ± √9² - 4*4*2)/(2*4) t = (9 ± √81 - 32)/8t = (9 ± 7)/8t = 2 and t = 1/4So yes, it is factorable:
4t² - 9t + 2 = 4(t - 2)(t - 1/4)or4t² - 9t + 2 = (t - 2)(4t - 1)The given trinomial factored:
h = -4(t - 2)(4t - 1)Answer: Yes, this trinomial -4(4t² -9t + 2) is factorable.
It is h =(-4)(4t -1 )(t -2) converted from the explanation
[tex]y\ =\left(-4\right)\left(4x\ -1\right)\left(x\ -2\right)[/tex]
A graph of the equation is in the attachment. There are two equations, but only one graphed parabola because they are identical.
Step-by-step explanation: I am using x in place of t in this explanation, and leaving out the factored (-4) to simplify.
Using the systematic new AC Method to factor trinomials (Socratic Search) Starting with a quadratic equation in the form
y = ax² + bx + c
This involves converting the equation by multiplying the leading coefficient, a, times the constant, c
y =4x² –9x + 2
=4(x + p)(x + q)
Converted trinomial:
y' = x² –9x + 8
= (x + p')(x + q').
Here p' and q' will have the same – signs because the b term is negative and the c term is positive.
Factor pairs of ac = 8 are -1 and –8. This sum is –9 = b. Then p' = -1 and q' = -8.
Then divide the second factor by the original coefficient, 4.
Replacing the original leading factor (-4) the factored equation looks like
y = -4(4x - 1)(x - 2)
To solve for x
p =p’/a = ¼ or 4x - 1 = 0 4x = 1 x = ¹/₄
and
q ='q/a
= 8/4 = 2 OR x -2 = 0 x = 2
The second attachment shows some other ways to set up the equation without the (-4) to solve, and then replace that factor. You get the same values for x.
I hope this helps and is not too confusing. There may be other ways to factor this equation.
Consider the graph below.
10px
4
2
-10
-4
-2
8
10
0 2
4
What is the equation of the line in slope-intercept form?
A y=x+8
By=2 - 8
y = 8x + 8
Dy = 8x - 8
Answer:
B. y = x - 8
Step-by-step explanation:
✔️First, find the slope of the line using two points on the line, say (0, -8) and (8, 0):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-8)}{8 - 0} = \frac{8}{8} = 1 [/tex]
slope (m) = 1
✔️Find the y-intercept (b):
The y-intercept is -8. The line intercepts the y-axis at y = -8.
b = -8
✔️Next, substitute m = 1, and b = -8 into y = mx + b:
Thus:
y = (1)x + (-8)
y = x - 8
The table below shows the approximate percent of students who sent applications to two colleges in various years since 1985.
A regression equation for this line is y = -0.42x 19.26
What does the slope and y-intercept indicate?
a. The slope indicates that the percentage in 1985 should have been about 19%. The y-intercept indicates that the percent is falling at about 0.4% each year.
b. The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%
c. The slope indicates that the percent has remained the same each year. The y-intercept indicate the percent in 1985 should have been 22%
d. There is not enough information to determine what the slope and y-intercept indicate.
Answer: b. The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%
Step-by-step explanation:
The slope of straight line indicates the rate of change and in a regression equation is the m in: y = mx + c
In the regression equation of y = -0.42 + 19.26, the slope is -0.42 indicating that the rate of change has been -0.42% which means that the percent is falling at about 0.42% per year.
The y intercept (c) measures the rate at the origin and in this equation is 19.26. As the origin of the line is 1985, this means that the percent in 1985 should have been about 19%.
Answer:
B.
Step-by-step explanation:
What is the constant rate of change of the table below?
Answer:
35 miles/hour
Step-by-step explanation:
Divide any number of miles by the corresponding number of hours above.
70 miles / 2 hour = 35 miles/hour
Answer: 35 miles/hour
PLS Help! This is DUE! 50 Points
[tex]log_{6}(2x-7)=4[/tex]
Answer: x = 651.5
Step-by-step explanation:
First, we can re-write the equation as = 2x - 7.
Now, we simplify 6^4 = 1296.
1296 = 2x - 7
1303 = 2x
x = 651.5
A father claims about snowfall last night. First daughter tells that the probability of snowfall on a particular night is 1/8. Second daughter tells that 5 out of 6 times the father is lying! What is the probability that there actually was a snowfall
Answer:
2.08%
Step-by-step explanation:
The probability of a snowfall on any given night is 1/8.
The probability that the father is telling the truth is 1 - 5/6, or 1/6.
Then:
1/6 x 1/8=1/48=0.0208, or 2.08% ............
need help with this geometry question please!
Answer:
6√2
Step-by-step explanation:
According to the question
The equation is
Sin(45°)=6/x
√2/2=6/x
√2x=12
x=12/√2
x=12×√2/√2²
x=12×√2/2
x=6√2
Can someone help me please!!
A frog jumped 9.5 meters. Approximately how many feet did the frog jump if 1 meter is equivalent to about 3.28 feet?
Help me it is due Today!!!
8.25 equals how many ones?
Answer:
i think 20.95 centimetres
Liz flips a coin 70 times. The coin lands heads up 49 times and tails up 21 times. Com statement. The theoretical probability of the coin landing heads up is (____%)
A coin can either land on heads or land tails, so it has a 50% chance of landing on heads.
The theoretical probability is what is expected.
The answer would be 50%
Answer:
33%
Step-by-step explanation:
Weston used the steps below to determine the percent equivalent to StartFraction 1 Over 40 EndFraction
Step 2: StartFraction 1 Over 40 EndFraction = StartFraction question mark Over 100 EndFraction. StartFraction 1 Over 40 EndFraction = StartFraction question mark Over 100 EndFraction. Multiply both sides by 2.5.
Step 3: 1 times 2.5 = 2.5
Step 4: StartFraction 2.5 Over 100 EndFraction = 25%
What was Weston’s ethe second fraction should have been out of a multiple of 40.
Weston's second fraction should have been 0.25.
How do we convert 1/40 to a percentage?Percentage can be described as a fraction out of an amount expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to denote percentages is %.
1/40 x 100 = 2.5%
To learn more about percentages, please check: https://brainly.com/question/25764815
#SPJ1
This graph shows the solution to which inequality?
Answer:
The graph shows the solution of the inequality y > [tex]\frac{4}{3}[/tex] x - 2 ⇒ D
Step-by-step explanation:
In the inequality,
If the sign of inequality is ≤ or ≥, then the line that represents it must be a solid lineIf the sign of inequality is < or >, then the line that represents it must be a dashed lineIf the sign of inequality is > or ≥, then the shaded area must be over the lineIf the sign of inequality is < or ≤, then the shaded area must be under the lineFrom the given graph
∵ The slope of the line = [tex]\frac{2--6}{3--3}[/tex] = [tex]\frac{2+6}{3+3}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]
∵ The y-intercept is (0, -2)
∵ The line is dashed and the shaded area is over the line
→ By using the 2nd and 3rd notes above, the line is dashed and
the sign of inequality is >
∴ The inequality is y > [tex]\frac{4}{3}[/tex] x - 2
∴ The graph shows the solution of the inequality y > [tex]\frac{4}{3}[/tex] x - 2
what is the value of 8^4/12
Answer:
1024/3
Step-by-step explanation:
First we want to do 8^4 which is 4096/12. Now, we can factor this equation by factoring out 4: 4(1024)/12. Cancel the common factors to get 1024/3. This can also be written as 341. 3 (the decimal 3 has a line over it) or 341 1/3
Answer:
1024/3
Step-by-step explanation: