Answer:
[tex]c^2 = 9dp[/tex]
Step-by-step explanation:
Given
[tex]dx^2 + cx + p = 0[/tex]
Let the roots be [tex]\alpha[/tex] and [tex]\beta[/tex]
So:
[tex]\alpha = 2\beta[/tex]
Required
Determine the relationship between d, c and p
[tex]dx^2 + cx + p = 0[/tex]
Divide through by d
[tex]\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0[/tex]
[tex]x^2 + \frac{c}{d}x + \frac{p}{d} = 0[/tex]
A quadratic equation has the form:
[tex]x^2 - (\alpha + \beta)x + \alpha \beta = 0[/tex]
So:
[tex]x^2 - (2\beta+ \beta)x + \beta*\beta = 0[/tex]
[tex]x^2 - (3\beta)x + \beta^2 = 0[/tex]
So, we have:
[tex]\frac{c}{d} = -3\beta[/tex] -- (1)
and
[tex]\frac{p}{d} = \beta^2[/tex] -- (2)
Make [tex]\beta[/tex] the subject in (1)
[tex]\frac{c}{d} = -3\beta[/tex]
[tex]\beta = -\frac{c}{3d}[/tex]
Substitute [tex]\beta = -\frac{c}{3d}[/tex] in (2)
[tex]\frac{p}{d} = (-\frac{c}{3d})^2[/tex]
[tex]\frac{p}{d} = \frac{c^2}{9d^2}[/tex]
Multiply both sides by d
[tex]d * \frac{p}{d} = \frac{c^2}{9d^2}*d[/tex]
[tex]p = \frac{c^2}{9d}[/tex]
Cross Multiply
[tex]9dp = c^2[/tex]
or
[tex]c^2 = 9dp[/tex]
Hence, the relationship between d, c and p is: [tex]c^2 = 9dp[/tex]
Which of the following are terms in this expression? Select all that apply.
1 + 10n + m
5m
4n
10n
7
Answer:
10n is the only term
Step-by-step explanation:
because other numbers are not in the equation
Derrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders. Which inequality can be used to find the possible values for s? s−45>100
s−45<100 s+45≤100 s+45≥100
Answer:
s+45≥100
Step-by-step explanation:
"A minimum of" means either the same amount or more. So, the total amount he sells (s + 45) needs to be greater than or equal to 100.
Which of the following products is negative? 4 A -31-7) B-3.7567 4 © 6.5. 4.25 D -5.5(-0.25)
Answer:
the answer is D and just keep practicing
GEOMETRY The sum of the measures of the angles of a trapezoid is 360 degrees. Find the missing measure
Answer:
70
Step-by-step explanation:
Add them all first
100+110+80=290
Then subtract
360-290
what is 3/4b>15 solution
The solution set of the given inequality is {b| b > 20}.
How to solve the inequality?Here we have the inequality (3/4)b > 15 and we want to solve it. To do so, we just need to isolate the variable b.
And to do it, we can work with this like we would do with any equation, we can just multipy both sides by (4/3) so we get:
(4/3)*(3/4)*b > 15*(4/3)
b > 20
Then the solution set can be written as {b| b > 20}
That is the set of all values larger than 20.
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A restaurant critic reviewed restaurants in Oxford and Fairview. In Oxford, the critic gave 18 negative reviews and 33 positive reviews. In Fairview, 5 of the reviews were negative and 11 were positive. In which city did the restaurant critic give a lower ratio of negative reviews to positive reviews?
Answer:
Fairview is lower.
Step-by-step explanation:
IXL
The required, city Fairview has a lower ratio of negative to positive reviews.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
here,
A restaurant critic reviewed restaurants in Oxford and Fairview.
In Oxford, the critic gave 18 negative reviews and 33 positive reviews.
ratio = 18 / 33 = 0.54
In Fairview, 5 of the reviews were negative and 11 were positive reviews.
Ratio = 5 / 11 = 0.45
Thus, the required, the city of Fairview has a lower ratio of negative to positive reviews.
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7 times m help helpp
pls help me i need to write this for an exam
Describe how you determine the sign of the sum,difference,product,and quotient of two integer numbers
Answer:
i would ask someone else sorry
Step-by-step explanation:
A phone company offers two monthly plans. Plan A costs $8 plus an additional $0.09 for each minute of calls. plan B cost $16 plus an additional $0.07 for each minute of calls.
a. For what amount of calling do the two plans cost the same? minutes
b. What is the cost when the two plans cost the same? $
Answer: 72
Plan A = 30 +0.15x
Plan B = 16 +0.20x
30+0.15x = 16+0.20x
subtract 16 from each side
14 +0.15x = 0.20x
subtract 0.15x from each side
14=0.05x
x = 14/0.05 = 280 minutes
280*0.15 = 42 +30 = $72
280 * 0.20 = 56 +16 = 72
280 minutes and cost $72 each
Step-by-step explanation:
Find the slope ......
The slope for this problem is -4/3.
Step-by-step explanation:
To find the slope, we can look at it as Rise/Run. The rise is how many units up (+) a point is or how many units down (-) a point is from the starting point. The rise is how many units to the left or right a point is from the starting point.
Now that we understand Rise/Run, we can find the slope. If we go from the highest point, or the point farthest to the left in the picture shown, we can see that we need to go four units down to get to the same level as the next point, so we would be moving -4 units away from the point. We can also see the second point is 3 units to left.
With this information, we can now figure out that the slope is -4/3.
Don't hesitate to ask any questions.
Answer:
m =rise/ran=y2-y1/x2-x1
m=slope
(x1, y1)=coordinates of first point in the line
(x2, y2)=coordinates of second point in the line
Step-by-step explanation:
find points.
then use formula & solve.
Which of the division expressions below has a remainder? Select all that apply.
A) 234 : 4
B) 1,350 = 9
C) 794 : 6
D) 812 : 8
E) 12,416 : 4
Answer: 8
Step-by-step explanation:
Answer:
A, C, D
Step-by-step explanation:
¿El 48 es multiplo de 2? _________ ¿por que?
ayuda es para hoy
Answer:
si 48 es múltiplo de 2 ya que al multiplicar 2. 24 da 48
Determine whether the graph represents a function. Explain.
Answer:
it does not represent a function
Step-by-step explanation:
it is not liner
Answer:yes
Step-by-step explanation:
each x value has one y value
b.
X = 4y + 3
2x - 4y = -10
Answer:
[tex]x = - 13 \: \: and \: \: y = - 4[/tex]
Step-by-step explanation:
[tex]x = 4y + 3......(1) \\ 2x - 4y = - 10.....(2) \\ \\ \\ x - 4y = 3......(1) \\ 2x - 4y = - 10...(2) \\ - x = 13 \\ x = - 13 \\ from(1) \\ x - 4y = 3 \\ - 13 - 4y = 3 \\ - 4y = 16 \\ y = - 4 \\ [/tex]
Lisa's weekly pay increases from $525 to $546
Calculate her percentage pay increase.
The percentage pay increase of Lisa's weekly will be 4%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Lisa's weekly pay increased from $525 to $546. Then the percentage pay increase will be given as,
P = [(546 - 525) / 525] x 100
Simplify the expression, then we have
P = [(546 - 525) / 525] x 100
P = (21 / 525) x 100
P = 0.04 x 100
P = 4%
The percentage pay increase of Lisa's weekly will be 4%.
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- 11 2/3 x (-4 1/5)=?
There of the ABCD are given. fine the coordinates of point D. A(3, 6) B(6,3) D(x, y)
Answer:
A. (3,2) . I recommend using desmos to find the coordinates
9514 1404 393
Answer:
A. (3, 2)
Step-by-step explanation:
The midpoints of the diagonals are the same point, so you have ...
X = (A +C)/2 = (B +D)/2
A +C = B +D . . . . . . . multiply by 2
A +C -B = D . . . . . . . subtract B
The coordinates of D are ...
D = (3, 6) +(6, 3) -(6, 7) = (3+6-6, 6+3-7)
D = (3, 2)
9320 is what percent of 15821?
Answer:
9320 is 58.9090449% of 15,821
Step-by-step explanation:
10 5/12 - 7 7/12 plss
your answer is: C 125/12
Answer:
The answer is 2 5/6
Step-by-step explanation:
10 5/12= 125/12
7 7/12= 91/12
125-91 is 34
34/12 = 2 10/12
simplify it
2 5/6
Laura says that you should
always divide the bigger number
by the smaller number. Do you
agree with her or disagree with her?
why?
Answer:
agree
Step-by-step explanation: you should always divide the bigger number over the smaller number. but if you don't you'd still get the same answer
The slope of a line is -1/5, and the y-intercept is 5. What is the equation of the line written in general form?
x - 5y - 5 = 0
x - 5y - 25 = 0
x + 5y - 25 = 0
Answer:
x + 5y - 25 = 0
Step-by-step explanation:
Equation of line in slope intercept form is given as:
[tex]y = mx + b \\ \\ plug \: m = - \frac{1}{5} \: \: and \: \: b = 5 \\ \\ y = - \frac{1}{5} x + 5 \\ \\ 5y = - x + 25 \\ \\ x + 5y - 25 = 0[/tex]
Answer:
x + 5y - 25 = 0
Describe the lines in the figure below identify the figure
Answer:
The lines are congruent, the figure is a parallelogram.
Answer:
The figure shown is a parallelogram.
The lines on the sides are parallel
And the line on the top and the line on the bottom are parallel
Step-by-step explanation:
If you earn $10 per hour babysitting, and you work 5 hours per week, how much money will you earn in 4 weeks?
Answer:
$200
Step-by-step explanation:
1 week: $50
1 week ($50) x 4 = $200
Answer: You will earn $200 in the span of 4 weeks.
Step-by-step explanation:
• First, multiply the pay rate ($10 per hour) by the number of hours (5), yielding $50 a week.
• Multiply the total pay in the span of 1 week by the number of weeks (4 in this case), resulting in $200 in the span of 4 weeks.
Expand and simplify
(x – 3)(2x - 2)
Answer:
2x^2 - 8x + 6
Step-by-step explanation:
2x*x+(-3x*2x)+(x*(-2))+6=
2x^2-8x+6
What is the equation of the additive relationship represented by this table?
Enter your answer by filling in the box using an integer.
x y
9 5
12 8
Answer:
-1
Step-by-step explanation: hope this helps
Help, please, please, please!!!!!!!
Answer:
X+2y=14
==X+2y-14=0
Step-by-step explanation:
Y=3x-14
==x=14/3
(6,4)is the anwer you can use desmos and it will give you the aswer
A bicyclist rode 24.75 miles in 2.25 hours. What was the bicyclist's average speed, in
miles per hour?
Answer:
11
Step-by-step explanation:
24.75 / 2.25 = 11
What is a reflection of a geometric shape
Answer:
A reflection of a geometric shape is the mirror image of the shape.
Hope this helps, thank you !!
Layla was out at a restaurant for dinner when the bill came. Her dinner came to $9. After adding in a tip, Before tax, she paid $10.80. Find the percent tip.
Answer: 12%
Step-by-step explanation:
Reflection over the line y = -x of the point (1,3)
Answer:
(-3,-1)
Step-by-step explanation:
To reflect them you gotta switch their places and change their signs from positive to negative.
so (x,y) -> (-y,-x)