9514 1404 393
Answer:
x^2 -5x +6 = 0
Step-by-step explanation:
Perhaps the easiest way to do this is to find the roots of the given equation, then write the equation that has reciprocal roots. The given equation can be factored as ...
(2x -1)(3x -1) = 0 ⇒ roots 1/2, 1/3
Then the factoring of the equation with reciprocal roots is ...
(x -2)(x -3) = 0
x^2 -5x +6 = 0
_____
If p is a root, then (x -p) is a factor. If (ax -b) is a factor, then b/a is a root, the value of x that makes that factor zero.
You are a contractor and charge $65 for a site visit plus an additional $15 per hour for each hour you spend working at the site. Write and solve an equation to determine how many total hours you have to work to earn $950 working at two separate work sites.
Answer:
54.6 hours
Step-by-step explanation:
65x2 is 130 130-950 is 820 then 820 divided by 15 is 54.6 therefore meaning you have to work 54.6 hours to get 950$ you can check this by doing 54.6x15+130, might not be exact because i rounded to the nearest tenth.
Hope this helps!
Students were asked to solve the following equation:
-5x+2=-13
Answer:
3
Step-by-step explanation:
Step 1:
- 5x + 2 = - 13 Equation
Step 2:
- 5x = - 15 Subtract 2 on both sides
Step 3:
x = - 15 ÷ - 5 Divide
Answer:
x = 3
Hope This Helps :)
Mr. Anderson had 4/5 of a pizza left over and split it among his 4 children. What fraction of the pizza did each child get?
Answer:
1
Step-by-step explanation:
there were 5 pieces now there is 4. so 4 slices of pizza divided by 4 is 1
y=4x+8x, Solve for x.
It's x=y/12, I just need to know how to work it out.
Step-by-step explanation:
Answer:-[tex]\tt{y = 4x+8x}[/tex]
First, we need to add up the x.
We know that 4+8 = 12, so
[tex]\tt{4x+8x=12x}[/tex]
Now, equating it to y,
[tex]\tt{y = 12x}[/tex]
Now, if I multiply [tex]\tt{\dfrac{1}{12}}[/tex] on both sides,
I get,
[tex]\tt{\dfrac{y}{12}= \dfrac{\cancel{12}x}{\cancel{12}}}[/tex]
Now, as 12 got cancelled , I got the final answer as
[tex]\boxed{\tt{x =\dfrac{y}{12}}}[/tex]
Hope it helps :)
What is the equation of the line passing through the points (2, -1) and (5, -10) in slope-intercept form?
A. y=-3x-5
B. y=-3x+5
C. y=3x-5
D. y=3x+5
Answer:
b. y=-3x+5
Step-by-step explanation:
If you find the slope(y-y/x-x) I found that the slope is -3. from using the slope and graphing this out, the y-intercept is +5 giving me the answer of y=-3x+5.
I hope this helps have a great day:)
Answer:
y = -3x + 5
Step-by-step explanation:
The answer is correct because I just took the test and I got a 100%.
(9,3) and (-4,-7) whats the slope
Answer:
10/13
Step-by-step explanation:
-7-(3)
----------
-4-(9)
Help please! I was absent the day we talked about this and im super confused.
Answer: It may be 25 or 101
Step-by-step explanation:
ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!!
Write an equation of a line in a standard form that passes through points A(-3,4) and B(1,-2) with work using the equation y-y1=m(x-x1) for #4 and the equation y2-y1 over x2-x1 for #5
Answer:
Step-by-step explanation:
6-x / 3 = 8 I need help
Rena’s grandfather opened a savings account as a college fund for her. His initial deposit and the yearly simple interest rate are shown.
A college graduate is shown walking up stairs. The bottom step represents three thousand five hundred dollars. The value of the top step is unknown. The distance up the stairs is labeled four years. The simple interest rate is three point two five percent.
How much will Rena have in this account after 4 years?
Enter the correct answer in the box.
Answer:
Total amount (A) = $3,955
Step-by-step explanation:
Given:
Initial deposit (P) = $3,500
Rate of interest (r) = 3.25%
Number of years (t) = 4
Find:
Total amount (A)
Computation:
Simple interest = (p)(r)(t)
Simple interest = (3,500)(3.25)(4)
Simple Interest = $455
Total amount (A) = Initial deposit (P) + Simple Interest
Total amount (A) = 3,500 + 455
Total amount (A) = $3,955
explain why a scale of 1/2 inch to 1 foot is equivalent to a scale of 1:24
Answer:Becauss it turns into a whole number and 1:24 is what u need to get to the whole
Step-by-step explanation:
To multiply the binomials, multiply each term of (x + 1) by each term of (x + 2). Fill in the blanks with the
result.
Answer: x(x) + x(2) + 1(x) + 1(2)
The simplified product is x² + 3x + 2
Hope this helps!
Answer:
Step-by-step explanation:
4x + 5 + 2x > 5x - 7
Answer: x > -12 Is the answer
Answer:
X>-12
Step-by-step explanation:
Hope this helps. Plz give brainliest
Identify the property being demonstrated for each expression
3 + (5 + 7) = (3 + 5) + 7
(associative property or commutative)
5 + 0 = 5
(associative property or commutative)
Answer:
1. associative. 2. commutative. 3. identity.
Step-by-step explanation:
hope this helps :)
Answer:
A,B,D
Step-by-step explanation:
Which expression could be used to determain the cost of a $40 video game aftera 15 percent discount
Answer:
$34
Step-by-step explanation:
40*.15
=6
40-6
=34
WIll Give brainly and 100 POINTS!
A system of linear equations is shown below
(y=2x+1
(y=-1/4x+3
Which eqution can be used to determine the value of x for the solution
A: 2x+1= -1/4x+3
B: 2x+1= -1/4x-3
C: 2x+1= 1/4x-3
D: 2x+1= 1/4x-3
Answer:
A: 2x+1= -1/4x+3
Select the correct answer from each drop-down menu.
Consider this polynomial equation.
6(x - 3)(x2 + 4)(x + 1) = 0
Use the equation to complete this statement.
The equation has
solutions. Its real solutions are a
Answer:
This equation has 4 solutions, its real solutions are x = -1 and 3
Step-by-step explanation:
Correct for Plato Users
The equation has 4 solutions and its real solutions are 3, -1.
The given polynomial equation is 6(x - 3)(x² + 4)(x + 1) = 0.
What does a real solution mean in math?A real solution in algebra is simply a solution to an equation that is a real number.
Now, 6(x - 3)(x² + 4)(x + 1) = 0
⇒(x - 3)(x² + 4)(x + 1) = 0
⇒(x - 3)=0, (x² + 4)=0 and (x + 1) = 0
⇒x=3, -1 and ±√-4.
Therefore, the equation has 4 solutions and its real solutions are 3, -1.
To learn more about the polynomial equation visit:
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Help me please i’m dying and i’m just dying help
Answer:
70
Step-by-step explanation:
verticle angles are congruent (the same) so if 1 is 110 than 4 is 110. also same side interior angles are supplementary (equal to 180) meaning 6 is 70. If verticle angles are congreunt then 7 also equals 70
Write 19/4 as a decimal and with an explanation.
Answer:
4.75
Step-by-step explanation:
You would see how many times 4 goes into 19, which is 4 and then 3/4 is equal to .75, therefore it would be 4.75
You have an ant farm with 25 ants. The population of ants in your farm will double every 3 months. The table shows the population growth of the ants over nine months. Decide whether the table represents a linear function or a nonlinear function. After one year, how many ants will there be in the ant farm
Answer:
Linear - 400 AntsStep-by-step explanation:
0 Months - 25 Ants
3 Months - 50 Ants
6 Months - 100 Ants
9 Months - 200 Ants
12 Months - 400 Ants
Hope this helps! <3
Write this rate as a unit rate 7/5 miles 2/3 hour
Answer:
3.5 miles per hour
Step-by-step explanation:
7 miles ÷ 2
2 hours ÷ 2
=
3.5 miles
1 hour
=
3.5 miles
hour
= 3.5 miles per hour
a store sells jump ropes. each jump rope costs the same amount. during a sale, the store reduces the price of each jump rope by $1.90. marc spends $12.78 on 2 jump ropes at the sale price. what was the price of 1 jump rope before the sale
Answer:
$8.29
Step-by-step explanation:
12.78÷2=$6.39
6.39+1.90=$8.29
Answer:
The answer to this is 8.29 because you divide the highest with 2 and then you get 6.39 then you + 2.90
Step-by-step explanation:
If A = lw, find the width of a rectangle with a length of 30 miles and an area of 210 square miles.
O 70 miles
7 miles
o miles
6300 miles
10
11
12
Answer:
Yes and no nor
Step-by-step explanation:
Help will be appreciated?
help please i really need it
Problem 1
Answer: x = 9
----------
Explanation:
For now focus on triangle DEF. We need to find the missing angle D.
D+E+F = 180
D+71+42 = 180
D+113 = 180
D = 180-113
D = 67
In order for DE to be parallel to GH, the alternate interior angles EDF and GHF must be congruent
Let's see what happens when we force them to be equal
angle EDF = angle GHF
67 = 5x+22
67-22 = 5x
45 = 5x
5x = 45
x = 45/5
x = 9
==========================================
Problem 2
Answers:
Converse: "if it is winter, then it is snowing"
Inverse: "If it is not snowing, then it is not winter"
Contrapositive: "If it is not winter, then it is not snowing"
----------
Explanation:
The original conditional is in the form "If P, then Q". The P and Q are placeholders for logical statements.
We then have the following forms
converse = "if Q, then P" (swap P and Q)inverse = "If not P, then not Q" (negate each)contrapositive = "If not Q, then not P" (do both inverse and converse operations)==========================================
Problem 3
Answer: choice B) "If the sum of two angles is not 180 degrees, then they aren't supplementary"
----------
Explanation:
Refer to problem 2 for the general form of the inverse. We negate each of the P and Q to get our final answer.
==========================================
Problem 4
Answer: Choice C) "If I do not need an umbrella, then it is not raining"
----------
Explanation:
Refer to problem 2 for the general form of the contrapositive. We swap P and Q, and negate each.
==========================================
Problem 5
Answer: Choice A) "If two lines have opposite slopes, then they are perpendicular"
----------
Explanation:
Refer to problem 2 for the general form of the converse. We swap the positions of P and Q.
share 50 marbles in the ratio 2:3 between Alex and joshua.How many marbles does each boy receive?
At the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 feet west and 124 feet north of the entrance. If Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, to the nearest hundredth of a foot, find the direct distance between Jalen and the entrance.
Answer:
113.18
Step-by-step explanation:
[tex]\sqrt{113^{2}+32x^{2}[/tex]
SF=113.18
The direct distance between Jalen and the entrance is 144.6 feet.
What is distance?The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
Place everything on an xy grid with the Entrance at (0,0).
Then the Ferris Wheel is at (95,156) and the Swings are at (-23,124).
Cody is halfway between them,
so he is at
(95-((95-(-23)/2)),156-(156-124/2) or (36,140).
The distance from Cody to the entrance, using Pythagoras, is square root of
(362+1402)
=144.6 feet
Therefore , the direct distance between Jalen and the entrance is 144.6 feet.
Learn more details about distance here:
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select all of the equations equivalent to 7x/3 = 14
A: 5x - 23 = 7
B: x - 4 = 2
C: 2x = 14
D: x - 4 = 0
Answer:
A and B
Step-by-step explanation:
I found the number that makes the 7x/3=14 statement correct that number is. Then I plugged 6 into the other equations
these were the correct ones
5•6-23=7
6-4=2
these are the wrong ones
2•6=14
6-4=0
A. The y-intercept of y=6x+2y = 6 x + 2 is
B. The y-intercept of 10x+5y=30\:10 x + 5 y = 30is
C. The y-intercept of y-6=2(3x-4)y − 6 = 2 ( 3 x − 4 ) is
Answer:
(0, -6) .....
Please help I’ll give brainiest!!
Answer:
-1
Step-by-step explanation:
