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Use the information given to enter an equation in standard form.
Slope is 3, and (2, 5) is on the line.
A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can’t quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amount of money he may have after he sees Rita?
|x – 42.80| = 12
|x + 42.80| = 12
|x – 12| = 42.80
|x + 12| = 42.80
Answer:
|x – 42.80| = 12
Step-by-step explanation:
x – 42.80 = -12
x=30.8
x – 42.80 = 12
x=54.8
|x - 42.80| = 12 equation represents the amount of money James may have after he sees Rita
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation that represents the amount of money James may have after he sees Rita is |x - 42.80| = 12.
This equation reflects the fact that James either borrowed $12 from Rita
so he would subtract $12 from his current amount, or Rita borrowed $12 from him, so he would add $12 to his current amount.
Therefore, the |x - 42.80| = 12 equation represents the amount of money James may have after he sees Rita
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Which algebraic expression represents “the class was divided into six equal groups”?
6 + w
6w
StartFraction 6 Over w EndFraction
StartFraction w Over 6 EndFraction
Answer:
Option D StartFraction w Over 6 EndFraction is correct option.
Step-by-step explanation:
We need to find algebraic expression that represents “the class was divided into six equal groups”
Let complete class strength is w
Dividing into six equal groups we get w/6
The algebraic expression that represents “the class was divided into six equal groups” is w/6
So, Option D StartFraction w Over 6 EndFraction is correct option.
Answer:
d
Step-by-step explanation:
i got it right
A ship leaves port on a bearing of 20.2 degrees East of North and travels 6.5 miles. The ship then turns due East and travels 3.8 miles.
How far is the ship from the port, and what is its bearing?
Distance: 8.6 miles; Bearing: 20.2 degrees West of North.
Distance: 8.6 miles; Bearing: 20.2 degrees East of North.
Distance: 8.6 miles; Bearing: 44.7 degrees East of North.
Distance: 8.6 miles; Bearing: 44.7 degrees West of North.
Answer:
C
Step-by-step explanation:
Distance: 8.6 miles; Bearing: 44.7 degrees East of North.
The distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.
What is cosine law?When the three sides of a triangle is known, then to find any angle, the law of cosine is used.
It can be given as,
[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
A ship leaves port on a bearing of 20.2 degrees East of North and travels 6.5 miles. The ship then turns due East and travels 3.8 miles.
This problem is shown in the image. The distance of ship from initial point is,
[tex]c=\sqrt{6.5^2+3.8^2-{2\times6.5\times3.8\times\cos (110.2)}}\\c\approx8.6\rm\; miles[/tex]
The measure of the angle x is,
[tex]\angle x=\cos^{-1}\dfrac{8.6^2+3.8^2-6.5^2}{2\times8.6\times3.8}\\\angle x=44.7^o[/tex]
Hence, the distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.
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This graph represents a linear function. Enter an equation in the form y = mx + b that represents the function.
Answer:
4/1x plus 2
Step-by-step explanation:
Steven charges the following for repairing washing machines:
£24 call-out charge + £14 for each half-hour he spends on the repair
if a repair costs a customer £66, how long did it take?
Which expressions are equivalent to 12r-5?
A. 6(2r+(-1))+1
B. -4(2+(-3r))+3
C. None of the above
Answer:
Step-by-step explanation: 12r-6+1= 12r-5
-8+12r+3= 12r-5
A and B
What is the domain of this function?
Answer:
option A because rule of domains
A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka’s shadow. include all labels.
Answer:
8 meters
Step-by-step explanation:
This means that the shadows at this time is twice as tall as normal.
4*2=8
Luka's shadow is 8 meters tall.
Mandy makes beaded bracelets and sells them for $5 each. If she sells the bracelets for 250% of the cost of her materials, how much does each bracelet cost to make?
Each bracelet costs $
to make.
Answer:
Each bracelet cost $2 to make.
Step-by-step explanation:
I did the assignment.
Answer:
$2
Step-by-step explanation:
(Brainliest plz) if im right
Determine the domain of f(p)= 4(p) +1000. Justify your answer with an explanation for the domain.
Answer:
Domain: (-∞, ∞)
General Formulas and Concepts:
Alg I
Domain is the set of x-values that can be inputted into function f(x).Step-by-step explanation:
Step 1: Define function
f(p) = 4p + 1000
Step 2: Analyze
We note down that we are not given a restriction or an interval with the function. We also note down that we can plug in any number x and it would give us an output.
Therefore, our domain is All Real Numbers or (-∞, ∞)
please help me out on this
Answer:
4 months and 13 stamps
Step-by-step explanation:
Use a char, add two stamps each month for Joy and subtract 3 for Ronald.
which numbers is equivalent to 75%?
Answer:
in fraction form it would be 3/4
Step-by-step explanation:
is 6.7 rational or irrational
Answer:
Rational
Step-by-step explanation:
Rational numbers can be expressed, while irrational numbers (such as pi) go on forever.
Hope I helped!
2.1(0.2x−1.4)=1.3(0.4x−3.5)
Answer:
x=9.84375
Step-by-step explanation:
...
Answer:
16.1=x
Step-by-step explanation:
2.1(0.2x-1.4)=1.3(0.4x-3.5) Distribute
0.42x-2.94=0.52x-4.55 Combine like terms
+4.55 +4.55
0.42x+1.61=0.52x
-0.42x -0.42x
1.61=0.1x
0.1 0.1
16.1=x
Noah bought 4 tacos and paid $6. At this rate, how many tacos could he buy for $15?
Answer:
10
Step-by-step explanation:
each taco is 1.50$ 15$ divided by 1.50$ is 10
Answer:
He can buy 10 tacos with $15.
Step-by-step explanation:
You can do a cross multiplication process. Think in this way:
If he buys 4 tacos for $6, then how many tacos can he get in $15? When you do the cross multiplication process, you'll find that he can get 10 tacos with $15.
The local high school sold 1914 tickets this year to its spring musical. That was 174 more tickets sold than last year. What is the percent increase in the number of tickets sold?
Answer:
.909 (ROUNDED)
Step-by-step explanation:
In order to do this all you need to do is divide the number with the number you got this year, 1914, and with the number last year.
1914-174=1740
1740 was the amount they got last year
Now you want to find the percent difference between the two.
1740/1914=.909090 (Repeats)
So the percent increase would be
.909090
.101010
Dierdre’s work to solve a math problem is shown below.
Problem: How many 1 and one-half-foot pieces can be cut from a 12-foot length of ribbon?
Step 1:
1 and one-half divided by 12 = n
Step 2:
Three-halves divided by 12 = n
Step 3:
Three-halves times StartFraction 1 Over 12 EndFraction = n
Step 4:
StartFraction 3 Over 24 EndFraction = n
Answer:
One-eighth = n
What was Dierdre’s first error?
She switched the divisor and the dividend in step 1 when creating an equation to model the problem.
She used an improper fraction in step 2 that is not equivalent to 1 and one-half.
She replaced the divisor by its reciprocal in step 3 instead of replacing the dividend by its reciprocal.
She reduced the fraction in step 4 incorrectly.
Step-by-step explanation:
step 1
Answer:
Step 1)-She switched the divisor and the dividend in step 1 when creating an equation to model the problem.
Step-by-step explanation:
I got it right on my unit test :>
Write an expression
Your cellphone costs $0.50 for the first minute and $0.35 for
each additional minute.
Answer:
0.50+0.35x
Step-by-step explanation:
Answer:
0.5+0.35m
Step-by-step explanation:
Use the remainder theorem to determine the remainder. Then use the remainder to determine if the binomial is the factor of a polynomial. f(x) = x^3 + x^2 - 66x + 54 is divided by x + 9.
a. Remainder: 0; not a factor
b. Remainder: 0; yes a factor
c. Remainder: 270; not a factor
d. Reaminder:270; yes a factor
Answer:
b
Step-by-step explanation:
f(x) = x³ + x² - 66x + 54
= (x² - 8x + 6)(x + 9) + 0
=> the answer is b
Answer:
b
Step-by-step explanation:
If (x + h) is a divisor of f(x) then f(- h) = remainder
If f(- h) = 0 then (x + h) is a factor of f(x)
Here divisor is (x + 9) , then
f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54
= - 729 + 81 + 594 + 54
= 0
Thus remainder is 0 and (x + 9) is a factor of f(x)
Can anyone help?
The question says to expand and simplify it but i dont know how.
Answer:
3x+14
Step-by-step explanation:
remove parenthses
6x+8-3x+6
3x+14
Answer:
3x+14
Step-by-step explanation:
2(3x+4)-3(x-2)
6x+8-3x+6
3x+14
Rearrange to make x the subject: 3x+8= has x+6y
Answer:
x=3y-4
Step-by-step explanation:
3x+8=x+6y
so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.
2x+8=6y
now we want x alone on one side so we subtract 8 on both sides.
2x=6y-8
divide by 2
x=3y-4
Answer:
x = 3y - 4
Step-by-step explanation:
Given
3x + 8 = x + 6y ( subtract x from both sides )
2x + 8 = 6y ( subtract 8 from both sides )
2x = 6y - 8 ( divide all terms by 2 )
x = 3y - 4
Pamela bought an electric drill at 85% off the regular price. she would have paid 132.89 for thr drill normally. what was the price she paid for the drill?
Answer:
19.93
Step-by-step explanation:
If you do 132.89 x 85% you would get 112.9565. You would round the first five up to a six and then subtract that by the original price. 132.89-112.96. Giving you the answer of 19.93.
Can someone help me?
x will equal 30...set them equal to each other and solve from there
Solve the following equation by the quadratic formula. 9x 4 + 5x 2 - 4 = 0 {±2/3, ±1} {±2/3, ±i} {±4/9, ±1}
The solution of the equation by the quadratic formula are, {±2/3, ±i}
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The equation is,
⇒ 9x⁴ + 5x² - 4 = 0
Now, Put x² = y in above equation, we get;
⇒ 9y² + 5y - 4 = 0
Bu using quadratic formula as;
⇒ y = - 5 ± √5² - 4×9×- 4 / 2×9
⇒ y = - 5 ± √25 + 144 / 18
⇒ y = - 5 ± √169 / 18
⇒ y = - 5 ± 13 / 18
This gives two solution,
⇒ y = - 5 + 13 / 18
⇒ y = 8/18
⇒ y = 4/9
⇒ x² = 4/9
⇒ x = ±2/3
And, y = - 5 - 13 / 18
⇒ y = - 18 / 18
⇒ y = - 1
⇒ x² = - 1
⇒ x = ±i
Thus, The solution of the equation are {±2/3, ±i}.
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Joey completed 3,556 push ups over a 4-week period (there are 7 days in a week). Joey did the same number of push-ups every day. How many push-ups did Joey do each day
Answer:
127 per day
Step-by-step explanation:
Total pushups in 4 weeks = 3,556
4-week period( 7 days a week) = 4 × 7
= 28 days
How many push-ups did Joey do each day?
Push ups per day = Total push ups / Total number of days
= 3,556 / 28
= 127
Push ups per day = 127
Joey did 127 push-ups each day for a 4-week period( 7 days a week)
Which statement is true about f(x) = -2/3|x+4|-6?
O The graph of f(x) has a vertex of (-4, 6).
O The graph of f(x) is a horizontal stretch of the graph of the parent function.
O The graph of f(x) opens upward.
O The graph of f(x) has a domain of x 5-6.
b. the graph of f(x) is a horizontal stretch of the graph of the parent function.
The True statement is
The graph of f(x) is a horizontal stretch of the graph of the parent function.
What is Function?In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependant one (the dependent variable).
We have,
f(x) = -2/3 |x+4| - 6
So, -2/3 |x+4| - 6 = 0
-2/3 |x+4| = 6
|x+4| = -9
so, the vertex is not (-4, 6).
Here the -6 in the function shows the horizontal stretch.
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30 points! Please help!
Answer:
It's Most likely B
Step-by-step explanation:
Give the person before me brainliest they got it first
:)
Solve the following problem: 892 ÷ 4 = ? *
\
Answer:
223
Step-by-step explanation:
hope it helps!!!!......
Answer:
223
Step-by-step explanation:
892 ÷ 4 = 223
Can i get brainliest? plz!
I need help I don't understand