Answer:
a
Step-by-step explanation:
Jill would like an increase in the hourly wage she receives from the Mathematics Research Center, where she works in the mail room. Her boss gives her an equation to solve, telling her that her raise is the solution to the equation, but only if she can solve it. The equation is x 2- 6x + 9 = 0. What was the amount of her raise per hour? Answer:
Answer:
Jill will receive an increase of $3 per hour
Step-by-step explanation:
The Quadratic Equation
The quadratic equation can be represented in the standard form as:
[tex]ax^2+bx+c=0[/tex]
being a,b, and c are constants.
It can be solved by using the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Jill would like an increase in her hourly wage. The increase will come as the solution for a maths equation.
She must solve the equation:
[tex]x^2-6x+9=0[/tex]
The solution to the equation, or value of x, is the increase in her hourly wage.
Comparing with the general form, we have a=1, b=-6, c=9. Thus, the solutions are:
[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(9)}}{2(1)}[/tex]
[tex]\displaystyle x=\frac{6\pm \sqrt{36-36}}{2}[/tex]
[tex]\displaystyle x=\frac{6\pm \sqrt{0}}{2}[/tex]
The square root is 0, therefore is only one solution:
[tex]\displaystyle x=\frac{6}{2}=3[/tex]
x = 3
Thus, her raise per hour is $3.
someone sells a product for 10 cents and he sells 1000 products, how much money did he earn
Answer:
$100
Step-by-step explanation:
10¢ × 1,000 = 10,000¢To convert to dollars: Cents ÷ cents in 1 dollarTo convert to dollars: 10,000¢ ÷ 100¢ = $100I hope this helps!
In the game of rock, paper,scissors, two people play, and equally likely that you will win, lose or tie. Find the probability of having different outcomes in two tries.
A) 2/3
B) 1/2
C)1/3
D)5/9
Pls help a girl out :/ and show work pls
Answer:
it is B
Step-by-step explanation:
Write the linear equation in slope-intercept form, 5x − 2y = 10
Answer:
y=5x-2
Step-by-step explanation:
Find the reference angle for a rotation of 220°.
Answer:
ans is 40 degree
i hope this is correct
You run 6 miles in one hour and 24 miles in four hours.
a. 6 miles
per hour
c. 4 hours
b. 4 miles per hour
d. 6 miles
Answer:b
Step-by-step explanation:
Rewrite the equation y-31x= 93 as a function of x.
Answer:
g(x) = 31x + 93
Step-by-step explanation:
Help with both please the picture has the instructions:)
✨help✨
Madonna loves records. She has 338 of them. Her grand father gives her some for her birthday. She ends up with 456 after her birthday. At what percent did her grandfather give her. (I know it's a funky question. You have to divide the amount and then round it to the nearest hundred)
Answer:
34.9%Step-by-step explanation:
Ok, we need to express this number as a percent of increase. So, what we'll do is write this as a proportion.
456/338 = x/100
456 x 100 = 338x
45600 = 338x
x = 134.911242604
A 34.9% increase
Answer:
17.53%Step-by-step explanation:
Initial number = 388Final number = 456Increase in number:
456 - 388 = 68Increase in percent:
68/388*100% = 17.53% rounded to the nearest hundredsFree Brainliest
There are 7 red, 6 blue, 12 green and 9 yellow marbles in a bag. What is the probability of not selecting a red or yellow marble?
Answer:
there are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.
Step-by-step explanation:
Answer:
I believe its 52.94% (53 rounded)
Step-by-step explanation: First add all the numbers to see the total amount of marbles (34) Second is add the marbles that are NOT red or yellow (18).Then the final step is divide 18/34
Hope this helps and have a great day
a) Solve x² + 4x - 8 = 0 by completing the square
Answer:
x = 2 + 2i, x = 2 - 2i
Step-by-step explanation:
[tex] {x}^{2} - 4x + 8 = 0 \\ \\ {x}^{2} - 4x + 4 + 4= 0 \\ \\ {x}^{2} - 4x + {(2)}^{2} = - 4 \\ \\ {(x - 2)}^{2} = - 4 \\ \\ x - 2 = \pm \sqrt{ - 4} \\ \\ x - 2 = 2i \\ \\ x = 2 \pm 2i \\ \\ x = 2 + 2i, \: \: \: x = 2 - 2i[/tex]
If QRST is a kite, find the measure of QRS
Answer:
!!!!
137°
i took the test and that was the right answer.
Step-by-step explanation:
QRST is a kite therefore, the value of angle QRS in the kite is 137 degrees.
Properties of a kiteOne pair of opposite angles is equal.Diagonals are perpendicular to each other.The sum of angles in the kite is 360 degrees.
Therefore,
79 + 79 + 11x - 6 + 4x + 13 = 360
158 - 6 + 13 + 11x + 4x = 360
158 + 7 + 15x = 360
15x = 360 - 158 - 7
15x = 195
divide both sides by 15
x = 195 / 15
x = 13
Therefore,
∠QRS = 11(13) - 6 = 143 - 6 = 137 degrees.
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2.3a+3.5b-1.8a-2.7b simplify. Show work.
Answer:
a = -1.6b
Step-by-step explanation:
Simplifying
2.3a + -1.8a + 3.5b + -2.7b = 0
Combine like terms: 2.3a + -1.8a = 0.5a
0.5a + 3.5b + -2.7b = 0
Combine like terms: 3.5b + -2.7b = 0.8b
0.5a + 0.8b = 0
Solving
0.5a + 0.8b = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-0.8b' to each side of the equation.
0.5a + 0.8b + -0.8b = 0 + -0.8b
Combine like terms: 0.8b + -0.8b = 0.0
0.5a + 0.0 = 0 + -0.8b
0.5a = 0 + -0.8b
Remove the zero:
0.5a = -0.8b
Divide each side by '0.5'.
a = -1.6b
Which of the following situations results in a sum of 1 1/2 ? Select all that apply .
1. I painted 5/8 of one room and 7/8 of another .
2. I gained 6 1/2 pounds and my wife lost 8 pounds .
3. I had 4 1/4 bottles of juice and drank 1 3/4 of them .
4. I cut 3 1/3 inches from my grass. The grass grew 1 5/6 inches over the next week .
5.I used up 1/4 of a pound of coffee and bought 1 1/4 of a Pound of coffee from the store .
6. I used 3/4 of a pound of ground beef to make burgers and purchased 2 1/4 of a pound of ground beef .
Answers ASAP!!!!
Answer:
A, E, And D
Step-by-step explanation:
i did the quiz :)
Graph the line y=-1/4x+6
These points are linear. Find the slope.
Answer:
Slope = 3/2
Step-by-step explanation:
The slope of an equation is rise/run, or y/x.
Since the graph indicates that y rises by 3 and x rises by 2, the slope would be 3/2
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be calculating the slope using the two points (2, 3) and (4, 6).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{6-3}{4-2}[/tex]
= [tex]\frac{3}{2}[/tex]
A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while travelling 96 km in a lake. Find the speed of boat while it is travelling in the lake, if the current of the river is 3 km/hour.
Answer:
18 miles / hour
There is 10 inches of water in a bucket. The water is leaking out of the bucket at a rate of 1 inch per hour. How many hours will it take for the bucket
to fully empty?
Type your answer...
the absolute value of 15.3 is the opposite of 15.3?
Answer:
No. The absolute value of 15.3 is 15.3, not the opposite.
Step-by-step explanation:
Absolute value makes any number its positive form. For example -2 in absolute form is 2. So 15.3 in absolute form is still positive 15.3.
Given m||n, find the value of x;
Answer:
i think its 24 because its the alternate exterior so it should be the same.
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
KJananwnwwnnwnwnwnwnw
A triangular flag has 2 sides with lengths 2 x and 1 side with length x.
A flag is the shape of an isosceles triangle, with two equal sides and a base. Sara has enough fabric to make a flag with a perimeter of 46.8 cm. She knows the flag needs a base that is half the distance of one of the sides.
What is the base of the largest triangular flag Sara can make?
cm.
Step-by-step explanation:
Perimeter = x + 2x + 2x = 5x
Since 5x <= 46.8cm, x <= 9.36cm.
The largest base is 9.36cm.
Answer:
9.36 is correct
Step-by-step explanation:
what expression is equivalent to (5x^2+3x+4)- (2x^2+1)-(7x+3)
Answer:3x^2+(-)4x
Step-by-step explanation:
monkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonke
Answer:
monke
Step-by-step explanation:
delicious
Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
negative reciprocals.
They are not perpendicular because their slopes
are equal.
They are not perpendicular because their slopes
are not negative reciprocals.
Answer:
They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
What is the product of 12 and 5 decreased by 17
Answer:
43
Step-by-step explanation:
Answer: 43
Step-by-step explanation:
12x5-17 would be the equation
60-17 multiplication due to PEMDAS
43 subtraction
The graph shows a proportional relationship.
Which equation matches the graph?
A. y = 1/4x
B. y = 4x
C. y = 12x
D. y = x
Answer:
C
Step-by-step explanation:
The equation matches the graph is y= 4x.
the correct option is B.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have line graph from which we can consider two points as (1, 4) and (3, 12).
So, the slope of line
m = (12 - 4)/ (3-1)
m= 8/ 2
m= 4
Now, using slope intercept form
y= mx+b
y= 4x + b
Now, put x= 1 and y=4 in above equation
4 = 4 + b
b= 0
So, the Equation of line is y= 4x.
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Write the statement as an equation Anumber decreased by six is five more than twice the number.
let the numbers be x
x-6-5=2x
Answer:
x - 6 = 2x + 5
Step-by-step explanation:
Let's break down the statement.
A number decreased by six means a number/variable subtracted by six. So, we have x - 6.
Five more than twice a number means five plus two times a number/variable. So, we have 2x + 5.
The 'is' in the middle of the statement signifies that they are equal to each other.
The equation would be x - 6 = 2x + 5.
Hope that helps.
Value of 5.3x10 4.2x10 scientific notation
If the point (x, y) is in Quadrant IV, which of the following must be true?
Answer:
Any coordinate point with (positive x, negative y)