Solve the equation for the indicated variable. 2x - 3y = 15 for y.
Answer:
y=-5+2/3(x)
Step-by-step explanation:
take 2x-3y=15, then subtract 2x from both sides
-2x -2x
that gives you -3y=15-2x
divide by -3
-3y=15-2x
________
3
that gives you y=-5+2/3(x)
What is the midpoint of the x-intercepts of
f(x) = (x – 2)(x – 4)?
(–3,0)
(–1,0)
(1,0)
(3,0)
Given :
f(x) = (x-2)(x-4)To find :-
The midpoint of x intercepts .Answer :-
Given function :-
f(x) = (x-2)(x-4)On equating with 0 ,
(x-2)(x-4) = 0 x = 2,4Hence it cuts x axis on (2,0) and (4,0) .
Using midpoint formula ,
M = (2+4/2 , 0+0/2) M = (6/2,0/2) M = (3,0)Answer:
(3,0)
Step-by-step explanation:
The answer above is correct.
√(−x^2+3x−2)=4
Find the domain and solve.
Answer:
lol this is easy use a cal 4 x
Step-by-step explanation:
State the number of possible real zeros and turning points of f(x) = x7 – 6x6 + 8x5. Then determine all of the real zeros by factoring.
=
Answer:
steps below
Step-by-step explanation:
f(x) = x⁷ – 6x⁶ + 8x⁵
f'(x) = 7x⁶ - 36x⁵ + 40x⁴
= x⁴ (7x² - 36x + 40) ... (1)
Critical point (x,y): x = 0 , x = (36 ± √(-36)²-4*7*40) / (2*7) = (18±2√11) / 7
x = 0 or x = 3.5 or x = 1.6
plug into (1): y = 0 , y = -394.3 , y = 10.1
extreme : maximum (1.6 , 10.1) minimum (3.5 , -394.3) ... turning points
x⁷ – 6x⁶ + 8x⁵ = x⁵ (x² - 6x + 8) = x⁵ (x-2) (x-4) =0
real zeros: x = 0, x=2, x=4
which expression represents the phrase “one third the sum of 12 and a number”?
Answer:
ignore this
Step-by-step explanation:
5-7=21
Padma cycles 3 1/4 miles. Josh cycles 7/2 miles. How far have they cycled in total? Give your answer as a mixed number. show your working.
Answer: 6 3/4 miles
Explanation: turn 3 1/4 into an improper fraction makeing it 13/4 multiply both 7 and 2 by 2 makeing 7/2 into 14/4 add the two together 13/4+14/4= 27/4 then simplify down to 6 3/4
They cycled in total 6 3/4 miles.
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
Padma cycles 3 1/4 miles.
And, Josh cycles 7/2 miles.
Now,
Since, Padma cycles 3 1/4 miles. Josh cycles 7/2 miles.
Hence, The total cycled by both = 3 1/4 + 7/2
= 13/4 + 7/2
= 13/4 + 14/4
= (13 + 14) / 4
= 27/4
= 6 3/4 miles
Thus, They cycled in total 6 3/4 miles.
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Help me pls thank you
Answer:
7
Step-by-step explanation:
To solve this, we have to solve for h.
We can use order of operations to figure this one out.
[tex]18h-9h-7h+3=17\\18h-9h-7h=14[/tex]
Now that every variable on the left side of the equation has an h, we can factor.
[tex]h(18-9-7)=14\\h=\frac{14}{18-9-7} \\h=\frac{14}{2} \\h=7[/tex]
Answer:
6
I just did some trial and error with the numbers
186-96-76+3=17
Unless I did it wrong, then just ignore this answer
Martin is selling chocolate bars for a fundraiser. His goal is to sell 500 chocolate bars to win the top prize. He can sell 11 per hour by standing in front of the local grocery store. He already sold 258, and he uses the equation 11x+258=500 to find out how many more hours he needs to sell for.
Solve for x.
Answer:
X=22
Step-by-step explanation:
258 ÷ 11 = 23.454 repeating. 22 = X is the closest answer to 23. High chance it is 22.
PLEASE HELP!!! I"M STUCK ON THIS PROBLEM
Find the number of ordered pairs (m,n) which satisfy the system
4(m - n) &= 7(1 - n),
3/2n= 4-2m.
If there are infinitely many such pairs, enter the word infinite.
There are no solutions to this system.
==========================================================
Explanation:
Let's simplify and rearrange terms for the first equation. The goal is to get it into the form Am+Bn = C, where A,B,C are constants.
4(m-n) = 7(1-n)
4m-4n = 7-7n
4m-4n+7n = 7
4m+3n = 7
Let's do the same for the second equation
(3/2)n = 4 - 2m
3n = 2(4-2m)
3n = 8 - 4m
4m+3n = 8
------------------------
The result of each simplification is that we ended up with 4m+3n on the left hand side for each equation. The only difference is that we got 7 for the first equation and 8 for the next one.
This is a contradiction because 4m+3n can only equal one number at a time for any given (m,n) pair. It's like saying z = 7 and z = 8 at the same time, where z = 4m+3n. But z can only equal one value at a time.
-------------------------
In summary, the given system leads to a contradiction and the system is inconsistent. This means that there are no solutions. There are 0 ordered pairs (m,n) that make both original equations to be true.
The correct answer is there is exactly one ordered pair ([tex]m = \dfrac{73}{56}[/tex] , [tex]n = \dfrac{13}{14}[/tex] ) that satisfies the given system of equations.
Given
[tex]4(m - n) = 7(1 - n)[/tex]
[tex]\dfrac{3}{2} n = 4 - 2m[/tex]
First, simplify the second equation:
[tex]\dfrac{3}{2} n +2m = 4[/tex]
Now, solve this equation for n:
[tex]n = (4 - 2m) * \dfrac{2}{3}[/tex]
[tex]n = \dfrac{(8 - 4m)}{3}[/tex]
Now, substitute this value of n into the equation [tex]4(m - n) = 7(1 - n)[/tex] :
[tex]4(m - \dfrac{(8 - 4m)}{3}) = 7(1 - \dfrac{(8 - 4m)}{3}[/tex]
[tex]m = \dfrac{73}{56}[/tex]
From the value of m, substitute it back into the equation for n:
[tex]n = \dfrac{(8 - 4m)} { 3}[/tex]
[tex]n = \dfrac{13}{14}[/tex]
The solution is one ordered pair [tex]m = \dfrac{73}{56}[/tex] and [tex]n = \dfrac{13}{14}[/tex].
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Use the figure below to answer both parts to Question 3. In the figure shown, l1 ∥ l2. If m∠8=105°, determine the measures of the two indicated angles.
Question 3a: What is the measure of m∠1?
Question 3b: What is the measure of m∠6?
Answer:
49
131
Step-by-step explanation:
Find a value for x that will make each of the following equations true. 2. x+8=21 b. 8-32=55 c. 3x=54 d. x/5=10 all I need help with is c
Answer:
C. x = 18
Step-by-step explanation:
3x = 54
First, you try to get x by itself.
To do that, you divide both sides by 3
It looks like this:
3x/3 = 54/3
And it ends up being:
x = 18
Answer:
x + 8 =21; x = 21 -8; x= 13
3x = 54; x =54/3;x= 18
x/5 = 10;x= 10× 5;x= 50
11. Juan paid $25.75 on a loan. Then he
borrowed $12.00. He now owes $19.80.
How much did he owe before making the
payment and borrowing the $12.00?
$
please
solve (-3/5)(-2/9)
Answer: 2/15
Step-by-step explanation:
(-3/5)(-2/9)
(-1/5)(-2/3)
(2/15)
Help help please please
Answer:
[tex]a = \sqrt{63} [/tex]
please answer this efwefrwgrehreherh
Answer:
2.8n.8n.8n.8n
option no. 4
which number has one digit that represents then times the value of the digit to its right? a. 246,147
b. 327,449
9514 1404 393
Answer:
b. 327,449
Step-by-step explanation:
Adjacent digits have values related by a factor of 10 if they are the same digit.
327,449
is the number that has two adjacent digits the same.
Which region represents the solution to the given system of inequalities? Y<-1/2x Y>2x+3
Answer:
Equation 2:y\geq 2x+3y≥2x+3
We will make the table.
x : -2 0 2
y : -1 3 7
Test Point: (0,4)
work out the percentage change when a price of £70 is decreased to £49
Answer:
30% decrease in price
Step-by-step explanation:
Since 70-49=21, we know that the price decreased by 30 pounds. The formula to find a percentage decrease is that you should then divide the original number(70) by 21(that equals 0.3!) 0.3 as a percentage would then be 30%, so the answer is there is a 30% decrease in price.
The triangle will be rotated 90 degrees counterclockwise about the origin. what will be the coordinates of the imagine point Q
Answer:
the points for Q would be (-1,-1)
Step-by-step explanation:
oh i hope im right im sorry if wrong
please help me solve b,c,d asap i need it in 10 min!!!
Answer:
These answer are written in standard form
Step-by-step explanation:
D. The sum of four and twice a number = 2x+4
C. Seven more than three times a number, all multiplied by itself = 3x+7
B. Nine less than a number, all divided by three = [tex]\frac{n-9}{3}[/tex]
How can unit analysis help you solve a conversion problem?
Unit analysis is a method used to convert from one unit of measure to another. In a unit analysis problem, we place measurements into fraction form, build a product of fractions, and eliminate unwanted units. The steps for performing a unit analysis are as follows: Determine what conversion facts are needed
the perimeter of a rectangle is 302 the length is 131 more times than the width find the length and width
Answer:
1.300
Step-by-step explanation:
The length and the width get multiplied and your answer would be 1.300
HELPPPPPPPPPPPPPPPPPPP
Answer:
Zuri: -10x + 125, Cara: 10x+125, Julio: 125x + 10
Step-by-step explanation:
Zuri starts with 125 dollars, and spending 10 dollars per month, means a subtraction of $10 per month. So, after x months, the subtraction = -10x = -10 + -10 + ... + -10, x times. Thus, f(x) = 125 + (- 10x) = 125 - 10x = -10x + 125.
Cara starts with 125 coins, and collecting 10 coins per year, means an addition of 10 coins per year. So, after x years, the addition = 10x = 10 + 10 + ... + 10, x times. Thus, f(x) = 125 + 10x = 10x + 125.
Julio starts with $10, and earning $125 per week, means an addition of $125 per week. So, after x weeks, the addition = 125x = 125 + 125 + ... + 125, x times. Thus, f(x) = 10 + 125x = 125x + 10.
What is the product of 1 2/3 and - 3 1/2
Step-by-step explanation:
1 2/3 can be written as 5/3 and -3 1/2 can be written as -7/2
now,
→ 5/3×-7/2
→ 5 × (-7) / 3 × 2
→ -35/6 ans.
hope this answer helps you dear...take care and may u have a great day ahead!
Answer:
-62
Step-by-step explanation:
12/3 * -31/2
12÷3 =4/1
4/1*-31/2
4÷2=2
-31*2=-62
After three games of golf, the leader's score of -15 was posted. (Assume that the golfer had
the same outcome for each game.) What was the leader's posted score after the first game?
Tickles has received 20% of his IV fluids from her 250mL bag, how many mLs has she received?
Please show work!
Answer:
50 mL
Step-by-step explanation:
<33
Answer:
50mL
Step-by-step explanation:
20% = 1/5
1/5 of 250 is 50
Therefore, she received 50mL of IV fluids.
Hope this helped!
Write the equation of the vertical line that goes through the point
(3, 4).
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The equation of a vertical line is ...
x = constant
If you want the line to go through a point with an x-coordinate of 3, then the constant must be 3.
x = 3 . . . . . . .vertical line through (3, 4)
Predict the next term in the sequence of numbers.
2,5, 4, 10, 8, 20,
The next term of the sequence of the numbers 2, 5, 4, 10, 8, 20, is 16.
What is a squence?A Sequence is a list of numbers that are in order. Sequence follows a particular pattern.
Therefore, let's study the pattern of the sequence to know the next term.
2, 5, 4, 10, 8, 20,
The pattern can be explained as follows;
2(2) = 4
5(2) = 10
10(2) = 20
8(2) = 16
Therefore, the next term of the sequence of the number is 16.
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Hey can anyone help me with this problem please and thank you !
Answer:
x = 16
Step-by-step explanation:
6x + 3 = 7x -19
3 + 19 = 7x - 6x
22 = x
so
=6x + 3
=6× 22 +3
=135°
then
=7x - 19
=7 × 22 -19
=135°
Answer:
(6x+3)=(7x-19)
-x+3=-19
-x=-22
x=22
Step-by-step explanation:
3x + 4y = 8
Is it linear? If so how do I graph it