To find the y-intercept, let x = 0.
0 - 3y = -6
-3y = -6
y = 2
The y-intercept of the equation is the point (0, 2).
Answer:
2
Step-by-step explanation:
Solve the equation for y. First subtract x from both sides then divide by -3. The result is y=1/3x+2 with the number "2" representing the y-intercept.
whoever knows 2^64 get brainlest
Answer:
[tex]1.8844674407\times 10^1^9[/tex]
Step-by-step explanation:
[tex]\mathrm{Refine\:to\:a\:decimal\:form}\\=1.84467\dots E19[/tex]
2x+3=15=? .FIND X AND EXPLAIN WHY?
Answer:
x = 6
Step-by-step explanation:
The properties of equality let you add the same thing to both sides of the equation without changing the value of the variable. The same is true for dividing both sides of the equation by the same thing. These properties can be used to find the value of the variable.
Solution2x + 3 = 15 . . . . . . given
2x +3 -3 = 15 -3 . . . . add the opposite of 3 to both sides
2x = 12 . . . . . . . . simplify
2x/2 = 12/2 . . . . . . . divide both sides by 2
x = 6 . . . . . . . . . simplify
CheckThis value of x can be checked in the original equation to see if it makes the equation true:
2×6 + 3 = 15 . . . . . . substitute 6 for x
12 +3 = 15 . . . . . . . . a TRUE arithmetic fact
The value of x is 6, because that value makes the equation a true statement.
I need help with #17 some body pls help this is due in a few min and it’s my last question T^T
Step-by-step explanation:
i think this would be the right answer...
Answer:
53
Step-by-step explanation:
10= 1/5x Given
10 * 5 = 1/5x * 5 divide 5 to both sides (remember you need to do the reciprocal of 1/5, that's why you multiply 5 to both sides)
50=x
If x is 50, subsitute 50 in the equation x+3=?
(50) + 3 = ?
53 = ?
A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every machine he sells. Write an equation that shows the total amount of income the salesperson earns, if he sells x machines in a year.
Answer:
40,000+300×
Step-by-step explanation:
300× × + the 40,000
Suppose you take $25,000 and deposit some of it into a savings account that pays 2.2% interest. You then take the rest of the money and deposit it in a CD that pays 3.05% interest at the end of 10 years the value of both accounts is $31,648. How much was deposited into each account?
Answer:
The amount deposited in the savings account is $11,494.12
The amount deposited in the CD account is $13,505.88
Step-by-step explanation:
Firstly, let’s calculate the amount of interest;
Interest = Amount at end of 10 years - amount deposited= 31,648 -25,000 = 6,648
Let the amount deposited in the savings account be $x while the amount deposited in the CD account be $y
Mathematically;
x + y = 25,000 ••••••••••(i)
Now the formula for simple interest is;
PRT/100
where P is the amount deposited, r is the rate and T is the time
On the savings account, amount of interest generated will be;
(x * 2.2 * 10)/100 = 22x/100
On the CD act, amount of interest generated will be;
(y * 3.05 * 10)/100 = 30.5y/100
The addition of both give the total interest;
22x/100 + 30.5y/100 = 6648
Multiply through by 100
22x + 30.5y = 664800 •••••••(ii)
From i, x = 25,000 - y
Substitute this into ii
22(25000-y) + 30.5y = 664800
550,000 -22y + 30.5y = 664,800
8.5y = 664,800-550,000
8.5y = 114,800
y = 114,800/8.5
y = $13,505.88
x = 25,000 -y
x = 25,000 - 13,505.88
x = $11,494.12
Given the function f(x) = 8x3 − 3x2 − 5x + 8, what part of the function indicates that the left and right ends point in opposite directions?
Answer:
First consider the term of highest degree, that is the First term in standard form so now
the term of highest degree in
f(x) is 8x³
So which is of odd degree with positive leading coefficient
∙so as. X-->- ∞ f,(x) ---> -∞
Still the same
X--> ∞ f,(x) ---> +∞
And the graph will be as below after substituting
graph{8x^3-3x^2-5x+8 [-20, 20, -10, 10]}
Samantha is preheating her oven before using it to bake. The initial temperature of the oven is 70° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 17 minutes after being turned on? What is the temperature of the oven t t minutes after being turned on?
The answer is 410°
You have to multiply 17x20 and then add 70 because that’s the initial temp.
Answer
Temp after 17 minutes: 340
Temp after t minutes: 20t+70
Step-by-step explanation:
The following statements are about finding a midpoint of a segment in the complex plane. Which statement is false?
The midpoint is the average of the endpoints.
First add the endpoints and then multiply by 1/2.
First subtract the endpoints and then divide by 2.
The midpoint of complex conjugates will lie on the x-axis.
Answer:
C.
Step-by-step explanation:
First subtract the endpoints and then divide by 2.
The incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.
What is complex number?"It is a number of the type a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"
What is midpoint formula in the complex plane?"The midpoint of two complex numbers a + bi and s + ti is [tex]M=\frac{a+s}{2}+i(\frac{b+t}{2} )[/tex]"
What is complex plane?"It is formed by the complex numbers, with real axis (x-axis in coordinate plane) and imaginary axis(y-axis in coordinate plane)"
For given question,
We know that the midpoint of a segment in the complex plane passing through two complex numbers a + bi and s + ti is given by [tex]M=\frac{a+s}{2}+i(\frac{b+t}{2} )[/tex].
This means, the midpoint is the average of the endpoints.
or to find the midpoint first add the endpoints and then multiply by [tex]\frac{1}{2}[/tex]
We know that the complex conjugate of a complex number x + iy is x - iy.
if we find the midpoint of a segment passing through these points, then it would be,
[tex]M=\frac{x+x}{2} + i (\frac{y-y}{2})\\\\M=x+0i\\M=x+0\\M=x[/tex]
This means the midpoint would lie on the X-axis.
Therefore, the incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.
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This week at HEB, pork chops cost $1.60 per pound. Steve bought 2 1/4 pounds of pork chops. If he paid with a $10 bill, how much change did he receive?
Answer:
He received $6.40 in change.
Explanation:
Since he bought 2.25 pounds, you multiply that by 1.6 to get a sum of 3.6. Since he paid with a ten dollar bill, and he only has to pay 3.60, they will give him back 6.40 in change.
Hope this helped :)
Three high school football teams each played four games. The Wildcats scored 18, 10, 14, and 18 points. The Knights scored 13, 17, 28, and 7 points. The Eagles scored 17, 28, 9, and 21 points. Which team had the highest mean points per game?
Answer:
The Eagles: 18.75
Step-by-step explanation:
The Mean of the wildcats: 15
The Mean of the Knights: 16.25
The Mean of the Eagles: 18.75
Please help me ASAP! Precalc for college.
Answer:
B) f(x) = -1 if x ≤ 0
2 if x > 0
Step-by-step explanation:
B) f(x) = -1 if x ≤ 0
2 if x > 0
what is 30 times ten
Answer:
300
Step-by-step explanation:
every time you're multiplying ten just add a zero at the end of the number your multiplying.
Answer:
30x10=300
sorry if im wrong-
What is the order of the steps to solve for x in the equation 3x - 6x - 7 = 29?
Use the addition property of equality.
Use the division property of equality.
Combine like terms.
Answer:
3x - 6x - 7 = 29 Given
-----------------------------------
3x - 6x -7 = 29
+ 7 + 7 Addition property of equality
3x - 6x = 36
--------------------------------------------------------------
3x - 6x = 36
(3x + -6x) = 36 Combine like terms
-3x = 36
--------------------------------------------------------------
-3x = 36
(-3x = 36)/ -3 Division property of equality
x = -12
Step-by-step explanation:
I tried to seperate the steps so you can go through them. First you had to add on both sides to take out the like terms, then combine the 3x and the -6x to make -3x (easier to look at and divide), and finally divide to find X. the end product using X cannot be a negative because its a filler space for a real number.
Hope this helps :)
Answer:
answer in picture
Step-by-step explanation:
5.2-6x+2-3-2
Simplify fully
Answer:
-6x+4
Step-by-step explanation:
Answer:
-6x + 2.2
Step-by-step explanation:
Collect like terms: −6x+(5.2+2−3−2)
then simplfiy to get the ansanswer
The sides of the figure below measure 11 14 and 21 ft find the perimeter
Answer:
46
Step-by-step explanation:
11+14+21=46
A 12 1/2 mile stretch of road needs repaving . A company bids on the repaving project saying they could replace 2 1/4 miles of road per week. How many weeks will the company take to completely replace the stretch of road?
2 1/4 miles => 1 week
1 mile => 1 ÷ 9/4
( 9/4 is an improper fraction of 2 1/4 )
12 1/2 miles => ( 1 ÷ 9/4 ) × 25/2
= 50/9
= 5 5/9 weeks
( 25/2 is an improper fraction of 12 1/2 )
Therefore, it will take 5 5/9 weeks for the company to replace the stretch of road.
( you can round it off to 6 weeks if the qn specify to give to the nearest whole number )
What is the length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple?
22
29
41
42
Answer:
B
Step-by-step explanation:
The length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple is 29.
What is Pythagorean triples?Pythagorean triples are represented as the triple (a, b, c) where a represents the perpendicular side, b represents the base and c represents the hypotenuse.
Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
c² = a² + b²
Here a = 20, b = 21 and c = x.
x² = 20² + 21²
x² = 841
x = √841 = 29
Hence the length of the hypotenuse, x, is 29.
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M(5, 7) is the mid-point of the l.ine segment joining A (3,4) to B. Find the coordinates of B.
Answer:
B(7,10)
Step-by-step explanation:
[tex]M(5,7)=(x ,y)\\A(3,4)=(x_1,y_1)\\B(x_2,y_2)\\\\Endpoint ;\\x = \frac{x_1+x_2}{2}\\ \\5 = \frac{3+x_2}{2}\\ Cross\:Multiply\\5\times 2 =3+x_2\\10=3+x_2\\10-3 =x_2\\7=x_2\\\\\\y = \frac{y_1+y_2}{2} \\\\7 = \frac{4+y_2}{2}\\ Cross\:Multiply\\7\times 2 =4+y_2\\14 =4+y_2\\14-4 =y_2\\10 =y_2\\\\\\B(7,10)[/tex]
Let f(x) = -3x and g(x) = 2x-1
Find the following: 3f(x) +2g(x)
0 6x +4
0 -5x - 2
O There is no correct answer given.
O 8x -8
O 5x+1
The value of 3f(x) + 2g(x) = -5x - 2
Algebra of functions:Given f(x) = -3x, g(x) = 2x-1 are the two functions
then by the algebra of two functions(adding two functions) we can find the value of 3f(x) + 2g(x)
Now find
3f(x) = 3(-3x) = -9x -----------(i)
2g(x) = 2(2x-1)
= 2(2x)-2(1)
2g(x) = 4x-2 ----------(ii)
Now, add the above two equation (i) and (ii)
3f(x) + 2g(x) = -9x + 4x - 2
= -5x-2
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A teacher wants to earn $1500 per year in supplemental income from a cash gift of $16,000. She puts $6,000 in a credit union that pays 7% annual interest. What rate must she earn on the remainder to achieve her goal
Answer:
6,000 * .07 = $420 per year
Therefore the remaining 10,000 must earn 1,080 per year
Total = Principal * (1+rate)^years OR
Total = 10,000 * 1 + rate
1,080 = 10,000*rate
1,080 / 10,000 = rate
rate = .108 OR rate = 10.8 % per year
Step-by-step explanation:
my ones digit is 2 more than my thousand digit. the sum of my ones and thousand is my hundreds digit. 3 less that my hundreds digit is my tens digit. my Hundreds thousand and ten thousand are the same. guess what number I can be.
Answer:
No answer. See below.
Step-by-step explanation:
This number is in the ten-thousands, so it has 5 digits.
Let the number have the form
abcde, where
a = ten-thousands digit
b = thousands digit
c = hundreds digit
d = tens digit
e = ones digit
"my ones digit is 2 more than my thousand digit."
e = b + 2
"the sum of my ones and thousand is my hundreds digit."
e + b = c
"3 less that my hundreds digit is my tens digit."
c - 3 = d
"my Hundreds thousand and ten thousand are the same."
c = b = a
We have 4 equations:
e = b + 2
e + b = c
c - 3 = d
c = b = a
Using the last equation, replace every c and b with a in the first 3 equations.
e = a + 2
e + a = a
a - 3 = d
Using the second equation, subtract a from both sides.
e = 0
Substitute e = 0 in the first equation.
0 = a + 2
a = -2; b = -2; c = -2; d = -5
Since a digit cannot be negative, there is a problem with this question.
Please check your question and correct the post.
Help me with this question please
Answer:
A. x + 46 = 2,749
Step-by-step explanation:
The total MUST be 2,749 as it is the amount of books added and the amount of books that were present from before; therefore, the books in total is 2,749.
x remains there, for the library had already had (x) amount of books from before.
46 is added to x because 46 is the amount of books acquired, in addition to (x) amount of books.
Therefore, the answer is x + 46 = 2,749
12x – 18
Use the gcf to factor each expression
Answer:
Step-by-step explanation:
6(2x - 3)
GCF: 6
Ramon needs to simplify the expression below. StartFraction 3.5 times 2 divided by 0.4 over 8.1 + 1.5 minus 4 EndFraction Which operation should he perform first? 1.5 minus 4 2 divided by 0.4 3.5 times 2 3.5 divided by 8.1
Answer:
I think is C
3.5x2
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
edu2021
-35x+85x-4=26 what is x
Answer:
x=3/5
Step-by-step explanation: first you collect like terms and move the constant to the right and then calculate and divide both sides
What is the final answer of 100-8(12+8)+10
Step-by-step explanation:
Check the image above dear....
select two ratios that are equivalent to 7: 10
Awsers
21 : 30
17 : 20
10 : 13
26 : 40
35 : 50
Answer: 17:20
Step-by-step explanation:
7 is 3 away from 10, 17 is 3 away from 20, hope this helps
Plzz help!! p/5 + 2 10 in written expression
Answer:
p divided by five plus two times ten
Step-by-step explanation:
p divided by five plus two times ten
YOur question has been heard loud and clear.
p/5 + 210 = p + 1050 / 5
Thank you
Melissa’s math book cost $22.85 less than her art book cost. Her math book cost $93.75. How much did her art book cost?
Hi it’s due tomorrow pls help me