While making a perfect square for the given quadratic equation [tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex] the value of c is 9/4
It is given that the quadratic equation [tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex] while forming the perfect square.
It is required to find the value of c.
What is a quadratic equation?It is defined as the equation of polynomial of degree two. The standard form of the quadratic equation is as follows:
[tex]\rm ax^2+bx+c=0[/tex] where [tex]\rm a\neq 0[/tex]
We have a quadratic equation:
[tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex]
We know that we can make any quadratic equation into a perfect square by the perfect square trinomial method as follow:
[tex]\rm ax^2+bx+c=0\\\rm ax^2+bx=-c\\\rm ax^2+bx+(\frac{b}{2a})^2 =-c+(\frac{b}{2a})^2\\[/tex]
So, the value of 'c' would be:
[tex]\rm c=(\frac{b}{2a})^2\\[/tex] here b=3 and a=1 by comparing the equation to the standard equation.
[tex]c=(\frac{3}{2\times1} )^2\\c=(\frac{3}{2} )^2\\c=\frac{9}{4}[/tex]
Thus, while making a perfect square for the given equation the value of c is 9/4
Know more about the quadratic equation here:
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Answer:
9/4
Step-by-step explanation:
correct on edge
What is the result of x + 2x - 6 = 21?
Answer:
9
Step-by-step explanation:
x + 2x - 6 = 21
3x - 6 = 21 /+6
3x = 27 /:3
x = 9
Answer:
x = 9
Step-by-step explanation:
Hope that helps!
Describe the translation of figure ABCD. Use the drop-down menus to explain your answer.
AlternativeText
Figure ABCD is translated
unit(s) right and
unit(s) up.
Answer:
Is Figure A'B'C'D' a translation of Figure ABCD? Explain. Yes; it is translated 2 units left and 2 units up.
Step-by-step explanation:
Don't scroll!! 40 points for whoever helps me!! T-T
A 54-foot tall office building casts a shadow that is 48 feet long. If Mindy is 5’6” tall and standing nearby, find the length of her shadow.
Answer: 200ft
half
Step-by-step explanation for the question i don't know: I don't have the true answer but would it be half...? nvm lol
Answer:
[tex]\huge\boxed{\frac{44}{9} \ \text{feet}}[/tex]
Step-by-step explanation:
If the sun hits two objects at the same time of day, their shadow lengths will be proportionate to their original object with same constant of proportionality.
Therefore, we can set up a proportion fraction to find Mindy's shadow length. Let's assume we have the fraction as [tex]\frac{\text{original}}{\text{shadow}}[/tex].
[tex]\frac{54}{48}=\frac{5.5}{x}[/tex]
We use 5.5 because 5'6" is the same thing as 5.5 feet - 6 inches is half a foot.
We can solve for x by cross multiplying.
[tex]48 \cdot 5.5=264[/tex]
[tex]264 \div 54 = \frac{264}{54}[/tex]
We can simplify this fraction by dividing the numerator/denominator by 6.
[tex]264 \div 6 = 44\\54\div6=9[/tex]
[tex]\frac{44}{9}[/tex]
So Mindy's shadow is [tex]\frac{44}{9}[/tex] feet long.
Hope this helped!
What is 3 to the sixth power times 3 there is a picture please help worth 12 pts.!!!!!
Answer:
2187 ( 3 to the 7th)
Step-by-step explanation:
3 to the 6th= 729
729 x 3 = 2187
x²-x is divisible by 2
Answer:
3
Step-by-step explanation:
2²-2÷2
4-2÷2
=3
hope this helps
how do you explain division in an easy way?
For exercises 23-27 use this illustration of a drink dispenser gauge on the front of the dispenser shows how much of the liquid remains in the gauge that dispenser holds 120 cups a. About what fraction of the cup is filled with liquid b. About how many cups of liqiud are in the dispencer c. About what fraction of the dispencer is empty d. About how many more cups of liquid does it take to fill the cup
Answer:
a) 2/3
b) 80 cups
c) 1/3
d) 40 cups
Step-by-step explanation:
Fraction of a full dispenser = 1
a. About what fraction of the cup is filled with liquid
= 1 - 1/3
= 2/3
b. About how many cups of liqiud are in the dispenser
We have 120 cups.of liquid that the dispenser contains
Hence,
= 2/3 × 120
= 2 × 40
= 80 cups
c. About what fraction of the dispenser is empty
= 1 - Fraction of liquid currently in the dispenser
= 1 - 2/3
= 1/3
d. About how many more cups of liquid does it take to fill the cup
= 1/3 × 120
= 40 cups
It will take 40 cups to fill the dispenser
what is it in simplist form 4/15+1/9
4/15 + 1/9 = 12/45 + 5/45 = 17/45
Kevin, the pharmaceutical salesman, receives
$510 per month base pay plus 6% commission.
In 2 months, after touring a metropolitan area,
He had sold $260,000 in pharmaceuticals.
How much did he make in the two-month period?
Answer:
16,620
Step-by-step explanation:
so we have 510(2 months)+(260,000x0.06%) = 16,620
please mark as brianlest.
In parallelogram EFGH, what is the relationship between angle e and angle f?
e° = f°
e° + f° = 180°
e° = -f°
e° - f° = 180°
Answer:
=> e° + f° = 180°
Step-by-step explanation:
we know. that this is a parallelogram .
e° + f° = 180° { because they are adjacent angle and the sum of adjacent angles in a parallelogram is 180°}
Answer:the answer is e° + f° = 180°
Step-by-step explanation:
I got it right
Please help me solve Question no C anyone?
Answer:
Step-by-step explanation:
Decrease #40.00 by 5%
Answer:
Step-by-step explanation:
its 38
After reducing the given number 40.00 by 5%, the reduced number is, 38
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
The number, 40.00
After reducing it by 5% = ?
5 = (x/40)×100
x = 2
5% of 40 is 2,
So subtracting it from 40
After decreasing it by 5%
The number = 40-2
= 38
Hence, the number is 38
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What is the slope of this line
Answer:
if I'm right 8,1 okkkkkk
Answer:
use y=mx + or - b to solve!
Step-by-step explanation:
Way to go!
With that you should get (8,1)
Fluency:
Solve the equation
x + 24= 36 x=?
Answer:
x=12
Step-by-step explanation:
36-24=12
(30PTS and PLEASE HELP!!) What is the function rule that describes the pattern in the table?
X: -2, -1, 0, 2, 1
Y: -6, -5, -4, -3, -2
A. x = y - 4
B. y = x + 4
C. y = x - 4
D. x = y + 4
9514 1404 393
Answer:
C. y = x - 4
Step-by-step explanation:
We notice that values of x are consistently 4 more than the corresponding values of y. One way this can be written is ...
x = y + 4 . . . (matches choice D)
However, we usually consider y to be the dependent variable. Rearranging this to "y = " form, we have ...
y = x - 4 . . . matches choice C
The measure of the angles of a triangle are shown in the figure below . Solve for x
Answer:
x = 49°
Step-by-step explanation:
Hello! The sum of all angles in a triangle is 180°
64 + 67 = 131
180 - 131 will give you x
180 - 131 = 49° = x
If you need further explanation, let me know!
- profparis
What are the x- intercept and the y-intercept of the graph of 6x + 15y = -30?
Answer:
x int: -5
y int: -2
Step-by-step explanation:
Plug in 0 for x to find y intercept. 6(0) + 15y = -30 then you would get 15y = -30. Divide by 15 on both sides. y = -2
Plug in 0 for y to find x intercept 6x + 15(0) = -30 then you would get 6x = -30. Divide 6 on both sides. x = -5
PLEASE HELP ME ima dumb and really bad at math :(((( !!
Answer:
-27,0
Step-by-step explanation:
I think, not entirely sure tho.
Two fifth of a certain number is 30 what is the number?
- - - - - - - - - - - - - - - - - - - - - - - -
Beginning with an "If-then" statement ⇣
If 2/5 = 30 then 1/5 = 15
Now we have 1/5, let's make it 1 by multiplying x5.
15 x 5 = 75
- - - - - - - - - - - - - - - - - - - - - - - -
Good luck! :)
~pinetree
Jordan has $30.00 to spend. What combination of watermelon, pineapple, and mango can Jordan buy for $30.00? Draw a picture and write a number sentence that shows two different ways he could spend his money if he .00. Cut out the manipulatives on the last page, or draw your own pictures on a separate sheet of paper to help you solve the problem.
Answer:
he could get like 30 things for a $$$$$$$$$
Step-by-step explanation:
10 watermelon = $10
10 mango = $10
10 pineapple = $10
Triangle XYZ has vertices X(8, −2.3), Y(6.5, 5), and Z(6, 3). When translated, X′ has coordinates (3.8, −0.3). Enter a rule to describe this transformation. Then find the coordinates of Y′ and Z′. Drag and drop each number into the correct box to complete the statements. The rule is (x, y) arrowright parenleftzex − , y + parenrightze. The coordinates are Y′parenleftze, parenrightze and Z′parenleftze, parenrightze.
Answer:
The coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex] are [tex]Y'(x,y) = (2.3, 7)[/tex] and [tex]Z'(x,y) = (1.8, 5)[/tex], respectively.
Step-by-step explanation:
A translation is a geometrical operation consisting in moving a point a given distance. We proceed to describe the operation:
[tex]X(x,y) +U(x,y) = X'(x,y)[/tex] (Eq. 1)
Where:
[tex]X(x, y)[/tex] - Initial point on the cartesian plane, dimensionless.
[tex]X'(x, y)[/tex] - Translated point on the cartesian plane, dimensionless.
[tex]U(x, y)[/tex] - Translation component, dimensionless.
Vectorially speaking, we find that translation component is:
[tex]U(x, y) = X'(x,y) -X(x,y)[/tex]
If we know that [tex]X(x,y) = (8, -2.3)[/tex] and [tex]X'(x,y) = (3.8, -0.3)[/tex], the translation component is:
[tex]U(x,y) = (3.8,-0.3)-(8,-2.3)[/tex]
[tex]U(x,y) = (3.8-8, -0.3+2.3)[/tex]
[tex]U(x,y) = (-4.2, 2)[/tex]
Now we determine the coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex]:
([tex]Y(x,y) = (6.5, 5)[/tex], [tex]Z(x,y) = (6,3)[/tex])
[tex]Y'(x,y) = Y(x,y) + U(x,y)[/tex] (Eq. 2)
[tex]Y'(x,y)=(6.5, 5) + (-4.2, 2)[/tex]
[tex]Y'(x,y) = (2.3, 7)[/tex]
[tex]Z'(x,y) = Z(x,y) + U(x,y)[/tex] (Eq. 3)
[tex]Z'(x,y) = (6,3)+(-4.2,2)[/tex]
[tex]Z'(x,y) = (1.8, 5)[/tex]
The coordinates of [tex]Y'(x,y)[/tex] and [tex]Z'(x,y)[/tex] are [tex]Y'(x,y) = (2.3, 7)[/tex] and [tex]Z'(x,y) = (1.8, 5)[/tex], respectively.
How many pieces of 3 1/2 in. Wood can be cut from a 63 in. Piece of wood?
Answer:
18
Step-by-step explanation:
So, it's a 63 in piece of wood, being cut into 3 1/2 in pieces, (or 3.5)
So do 63 / 3.5 = 18
18 pieces of 3 1/2 in pieces of wood
Write out the steps to find the solutions for the following quadratic: (x-2)^2 = 25
(Please help me out with this one!)
Answer:
x=7
Step-by-step explanation:
Starting with (x-2)² = 25
First, square root both sides to get rid of the square on the left. You'll get:
x-2 = 5
Add 2 to both sides to get x alone. You'll get:
x=7
Check your answer by filling in 7 for x:
(7-2)² = 25
(5)² = 25
25 = 25
2 Mrs. Scott purchased pizzas for her homeroom
students for winning the door decorating contest.
She purchased 3 pizzas and spent a total of $29.85.
How much did each pizza cost?
Answer:
9.95 per pizza
Step-by-step explanation:
i googled it :)
Answer:
9.95 per pizza
Step-by-step explanation:
just divid it
Which inequality is equivalent to −y<7?
A). Y < 7
B). Y > 7
C). Y > -7
D). Y < -7
Answer:
C) Y > -7
-Y < 7 given
0 < 7 + Y add Y to both sides
-7 < Y subtract 7 from both sides
Write an equation of the line in slope-intercept form.
slope = 3, y-intercept = -4
y= -x + 1 and y= 2/3x - 4 What is the solution to the system of equations?
Answer:
x=3 /
steps: (For x)
Turn the equation into --> -x+1 = 2/3x-4
Next is the multiply the equation by 3 to make isolating x easier so it becomes --> -3x+3=2x-12
Now arrange the terms to where variables are on a side and constants are on a side
it should look like --> -3×-2x=-12-3
Now combine like terms --> -5x=-15
finally just divide by -5 on both sides
x=3
For y:
substitute X for either of the equations
y=2/3 x 3-4
y=-2
The solution is (3,-2)
help please! could someone also show how they got the answer?
Answer:
420
Step-by-step explanation:
1. Find the area of the square:
5 x 5 = 25
2. Find the area of the triangle:
1/2 x base x height
1/2 x 5 x 4 = 10
3. Add the two areas:
25 + 10 = 35
4. Multiply 35 by 12:
35 x 12 = 420
The measure of c is ???
A car salesman earned $22 an hour and a commission of 3.3% on sales. Find his total earnings in a week when he worked 38 hours and had 65,800 in sales
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation: