Answer:
7
Step-by-step explanation:
Since f(x)=10 is equivalent to f(x)=2x-4, make these equations equivalent. Add 4 to both sides, and simplify to get 2x=14. Divide both sides by 2 to get 7 as your answer.
Answer:
x = 7
Step-by-step explanation:
Given
f(x) = 2x - 4 and f(x) = 10, then equating gives
2x - 4 = 10 ( add 4 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
Tentukan nilai x yang memenuhi ketidaksamaan. |3x + 12| < 2 |x - 6|
Answer:
x∈(-24, 0) ⇒ -24 < x < 0Step-by-step explanation:
|3x + 12| < 2 |x - 6|
|3(x + 4)| < 2 |x - 6| ⇒ -4 and 6 are "zeros"
1°. x∈(-∞, -4> ⇒ |3x + 12| = - (3x + 12) and 2|x - 6| = -2(x-6)
-(3x + 12) < -2(x - 6)
-3x - 12 < -2x + 12
-x < 24
x > -24 ∧ x∈(-∞-4> ⇒ x∈(-18, -4>
2°. x∈(-4, 6) ⇒ |3x + 12| = 3x+12 and 2|x - 6| = -2(x-6)
3x + 12 < -2(x - 6)
3x + 12 < -2x + 12
5x < 0
x < 0 ∧ x∈(-4, 6) ⇒ x∈(-4, 0)
3°. x∈(6, ∞) ⇒ |3x + 12| = 3x+12 and 2|x - 6| = 2(x-6)
3x + 12 < 2(x - 6)
3x + 12 < 2x - 12
x < -24
x < -24 ∧ x∈(6, ∞) ⇒ x∈∅
x∈1°∪2°∪3°
x∈(-24, -4>∪(-4, 0)∪∅
x∈(-24, 0) ⇒ -24 < x < 0
Evaluate \dfrac{e}{4}+2f-3 4 e +2f−3start fraction, e, divided by, 4, end fraction, plus, 2, f, minus, 3 when e=12e=12e, equals, 12 and f=\dfrac12f= 2 1
I have same question and I need help
PLEASE HELP ME!!
Simba loans $2,000 to his buddy Timon to teach hula lessons.
Timon is having trouble balancing his books and winds up losing $500 a month
after starting up his business. Pumba is helping Timon calculate how much debt
he will be in after one year if he doesn't make any changes. What should he use
for the y-intercept? What should he use for the rate of change?
Answer:
y-intercept: 2000rate of change: 500Step-by-step explanation:
When Timon starts, he is already $2000 in debt. If we represent Timon's debt with positive numbers, the y-intercept will be $2000.
Timon's debt seems to be increasing at the rate of $500 per month. That value is the rate of change.
After m months, Timon's debt d will be ...
d = 500m + 2000
Is this sum rational or irrational? Explain.
1.12 + 18/7 (1 point)
The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational.
The sum is irrational because 1.12 is irrational, and the sum of a rational number and an irrational number is irrational..
The sum is rational because both 1.12 and 18 are positive, and the sum of positive numbers is rational.
The sum is irrational because 18 is irrational, and the sum of a rational number and an irrational number is irrational.
Answer: The sum is irrational because 18/7 is irrational, and the sum of a rational number and an irrational number is irrational
Step-by-step explanation:
Given the two numbers :
1.12 and 18/7
1.12 is a rational number as it is a not a non-terminating decimal and can accurately be expressed in the form a/b, where a and b are integers, thus 1.12 is equivalent to 112 / 100
18/7 on the other hand is an irrational number as it is a non-terminating decimal.
Hence, takingbthe sum of both numbers (rational and irrational) results in an irrational output.
18 / 7 = 2.57142857....
Taking the sum of both,
1.12 + 2.57142857... = 3.69142857... ; which is irrational
Answer:
The sum is irrational because 18/7 is irrational, and the sum of a rational number and an irrational number is irrational.
Step-by-step explanation:
What is the value of x in the equation below? One-third (12 x minus 24) = 16 2 6 8 10
Answer:
The correct answer is b. 6
Answer:
6
Step-by-step explanation:
^_^ yep
Solve the equation: 6n+5<11
Steps to solve:
6n + 5 < 11
~Subtract 5 to both sides
6n < 6
~Divide 6 to both sides
n < 1
Best of Luck!
Answer:
n > -1
Step-by-step explanation:
1.1 Pull out like factors :
-6n - 6 = -6 • (n + 1)
2.1 Divide both sides by -6
Remember to flip the inequality sign:
2.2 Subtract 1 from both sides
n > -1
2.3 Inequality plot for
-6.000 X - 6.000 > 0
find the distance between each pair and points (-4,6) (3,-7)
Answer:
[tex]d =\sqrt{218}[/tex]
Step-by-step explanation:
[tex]d =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(-4,6)=(x_1,y_1)\\ (3,-7)=(x_2,x_1)\\\\d = \sqrt{\left(3-\left(-4\right)\right)^2+\left(-7-6\right)^2}\\\\d = \sqrt{(3+4)^2+(-7-6)^2} \\\\d = \sqrt{(7)^2 +(-13)^2}\\ \\d = \sqrt{49+169} \\\\d = \sqrt{218} \\\\Decimal = 14.7648\\=14.8[/tex]
Translate each algebraic expression or equation into a verbal phrase: X - 8 = 14
Answer:
x subtracted by negative 8 is equal to 14.
Step-by-step explanation:
Answer:
A number minus eight is equal to fourteen
or
Eight less than a number is equal to fourteen
both should be correct
PLZ HURRY 80 points
Find the total amount in the compound interest account.
$3000 is compounded quarterly at a rate of 9% for 6 years.
$ | ? | (Round to the nearest cent.)
Answer:
10,300
Step-by-step explanation:
e^x - e^-x/2
Evaluate the equation above for x = 1.5
a. 2.35
b. 2.13
c. 4.37
Answer: 2.13
Step-by-step explanation:
Plug x (1.5) into the equation.
e^(1.5) - e^(-1.5)
Then, divide by 2.
Your answer will be 2.129 and then round to 2.13.
Answer:
2.13
Step-by-step explanation:
Dave has $15 to spend on an $8 book and two birthday cards(c) for his friends. how much can he spend on each card if he buys the same card for each friend?
Please do not use the equal sign, we're using the greater than >, or less than sign< !
Answer:
each card cost = $3.5
Step-by-step explanation:
to spent $15 = $8 + 2cards
$15 = $8 + 2C
$15 - $8 = 2C
$7 = 2C
C = $7 / 2
C = $3.5
therefore each card cost = $3.5
Answer:
$3.50 per card
Step-by-step explanation:
15 = 8 + 2x
x = 7 / 2
x = 3.50
A company rents out 19 food booths and 30 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $50 plus $8 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
2500 + 215d
Step-by-step explanation:
Paula used these steps to solve an equation: Step 1: Step 2: Step 3: Step 4: Step 5: Between which two steps did Paula use the division property of equality?
Answer:
Step 4
Step-by-step explanation:
Paula used these steps to solve an equation:
Step 1: -4(7 + 8) - 21 = 25
Step 2: -4r – 32 - 2x = 25
Step 3: -61 – 32 = 25
Step 4: -6x = 57
Step 5: x = -9.5
Between which two steps did Paula use the division property of equality?
Step 1: -4(x + 8) - 2x = 25
Opening the parenthesis
Step 2: -4x – 32 - 2x = 25
Combining x-terms
Step 3: -6x – 32 = 25
Adding 32 to both sides
Step 4: -6x = 57
Dividing both sides by -6
Step 5: x = -9.5
The Division Property of Equality states that: when both sides of an equation are divided by the same nonzero number, both sides remain equal.
The rule applies to step 4 where both sides of the equation is divided by -6(nonzero number) giving us x = -9.5
This means from the equation, x is equal to -9.5 and -9.5 is equal to x
The correct answer is step 4
Answer:it is step 4 and 5 hope this helps
Step-by-step explanation:
7 kilogramos cuanto miligramos son
Answer:
7e+6
Step-by-step explanation:
7e+6 miligramos
Let f(x) = x + 7 and g(x) = x − 4. Find f(x) ⋅ g(x). (1 point
Step-by-step explanation:
f o g(x)
= f(x - 4)
= (x - 4) + 7
= x + 3.
Is 65 + -58 positive or negative?
David bought two video games and a DVD. One video game cost $32.50 and the other video game cost $45.35. David spent a total of $115.65. How much did the DVD cost?
Answer:
$37.80
Step-by-step explanation:
Add the cost of the 2 video games together to get 77.85
Subtract 77.85 from the total, $115.65
$37.80
Hope this helps :-)
Find the value of X round to the nearest tenth. I need help.
Answer:
x ≈ 22.1°
Step-by-step explanation:
Using the law of cosines, then
cosC = [tex]\frac{a^2+b^2-c^2}{2bc}[/tex]
with a = 19, b = 14, c = 8 and C = x, thus
cos x = [tex]\frac{19^2+14^2-8^2}{2(19)(14)}[/tex]
= [tex]\frac{361+196-64}{532}[/tex]
= [tex]\frac{493}{532}[/tex], thus
x = [tex]cos^{-1}[/tex] ([tex]\frac{493}{532}[/tex] ) ≈ 22.1° ( to the nearest tenth )
Point O is on line segment NP Given OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3 determine the numerical length of OP .
Answer: 11 units.
Step-by-step explanation:
Given: Point O is on line segment NP.
i.e. NP is the combination of NO and OP.
i.e. NP = NO+OP (1)
Since , OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3
Substitute these values in (1), we get
[tex]3x + 4 = 2x - 3 + 4x - 5[/tex]
[tex]\Rightarrow\ 3x+4=2x+4x-3-5\\\\\Rightarrow\ 3x+4=6x-8\\\\\Rightarrow\ 6x-3x=8+4\\\\\Rightarrow\ 3x=12\\\\\Rightarrow\ x=\dfrac{3}{12}=4[/tex]
i.e. x= 4
Now, OP = 4(4)-5= 16-5= 11 units
Hence, the numerical length of OP is 11 units.
What is the value of a in the equation 5 a minus 10 b equals 45, when b equals 3?
Answer:
15
Step-by-step explanation:
5a - 10b = 45
5a - (10×3) = 45
5a - 30 = 45
5a = 45 + 30
5a = 75
a = 15
What is the area or rectangle xbcy
What number is 7 units to the left of -1?
Answer:
-8 I think on a graph right
Answer:
-8
Step-by-step explanation:
on a number line -1 is one unit away add we just add 7 units. To get -8!
(n^(4))/(n^(4)) what does that equal?
Answer:
the answer would be 1 happy to help ya :)
Step-by-step explanation:
Solve for M:
–7(3 – 4m) = 8m + 19
-21 + 28m = 8m + 19
20m = 40
m = 2
Subtract (3 + 2i) from (–9 – 8i).
–17 – 5i
–6 – 6i
–12 – 10i
12 + 10
Answer:
-12 - 10i
Step-by-step explanation:
We are subtracting 3 + 2i from -9 - 8i. Rewrite the left side as -3 - 2i and then ADD this result to -9 - 8i:
-9 - 8i
-3 -2i
-----------
-12 - 10i
Answer:
-9-8i)-(3+2i)
= -9-8i-3-2i
Separate i and the numbers
= (-9-3)+(-8i-2i)
= -12-10i
Step-by-step explanation:
How can I solve this quadratic equation by factoring?
First set the equation equal to 0 by subtracting n from both sides.
That leaves us with 8n² - 11n = 0.
Since the GCF on the left is n, we can
factor it out to get n(8n - 11) = 0.
So either n = 0 or 8n - 11 = 0.
Solving for n in the second equation, we get n = 11/8.
So our solution is {0, 11/8}.
algebraic expression for 5 minus the product of y and 3
Answer:
5 - 3y
Step-by-step explanation:
Step 1: Convert product of y and 3 into numbers
Product = multiply
y = y
3 = 3
3y
Step 2: Convert 5 minus into numbers
minus = subtract
5 - 3y
Answer:
5-3y
Step-by-step explanation:
24 x 0.17 lol help pls
Nate runs 8 miles each week. Write an expression for the number of miles he runs in n weeks. Find the number of miles Nate runs in 5 weeks.
Total miles = number of miles per week x number of weeks:
Total = 8n
For 5 weeks, replace n with 5:
Total = 8(5) = 8 x 5 = 40 miles
Answer:
8x, 40 miles
Step-by-step explanation:
He runs 8 miles each week.
8 miles x week
8 x week
To replace week, use a variable, commonly x.
8x
For 5 weeks, plug in the numbers.
x = 5
8 x 5 = 40
40 miles
Hope this helped, please mark Brainliest for everyone to see! :)
hector worked monday, tuesday and thursday from 9:00 am to 4:30 pm with a half hour lunch each day. How many total hours did he work?