The difference between the roots of the quadratic equation x^2-14x+q=0 is 6. Find q.
Answer:
The value of q is 40
Step-by-step explanation:
In the quadratic equation ax² - bx + c = 0, where
a = 1
b is the sum of its two roots
c is the product of its two roots
Assume that the roots of the quadratic equations are x and y
∵ The quadratic equation is x² - 14x + q = 0
∴ a = 1 , b = 14 and c = q
∵ b is the sum of its two roots
∵ Its roots are x and y
∴ x + y = 14 ⇒ (1)
∵ The difference between the roots is 6
∴ x - y = 6 ⇒ (2)
Now we have a system of equation to solve it
Add equations (1) and (2)
∴ 2x = 20
- Divide both sides by 2
∴ x = 10
Substitute the value of x in equation (1) or (2) to find y
∵ 10 + y = 14
- Subtract 10 from both sides
∴ y = 4
∵ c is the product of the two roots
∴ c = 10 × 4 = 40
∵ c = q
∴ q = 40
The value of q is 40
Help me I’m struggling
I am not sure how to do the "Two different approaches" but I can tell you the answer.
(750-182.9) divided by 5.35 = Number of pizzas left to sell = 106
106 = answer
Hope this helped! If it did, please give brainliest! It would help a lot :D
A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.
True or False
A. The difference in height between the pelican and the heron is -33 feet.
Answer:
False
Step-by-step explanation:
This is because there both above sea level and 50-17=33 not -33
A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist has remaining, y, after creating x hats.
A coordinate plane showing Balloon Hat Creations. The x-axis shows Number of Balloon Hats and the y-axis shows Balloons Remaining. The straight line starts at (0. 500) and continues down and to the right through points, (50, 250) and ends at (100, 0).
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.
Answer:
(B)negative slope
(C)constant slope
(E)decreasing function
Step-by-step explanation:
just took the test :)
Answer:
B,C,E
Step-by-step explanation:
Convert 639 into quinary system
Step-by-step explanation:
To convert decimal number 639 to quinary, follow these steps:
Divide 639 by 5 keeping notice of the quotient and the remainder.Continue dividing the quotient by 5 until you get a quotient of zero.Then just write out the remainders in the reverse order to get quinary equivalent of decimal number 639.Using the above steps, here is the work involved in the solution for converting 639 to quinary number:639 / 5 = 127 with remainder 4127 / 5 = 25 with remainder 225 / 5 = 5 with remainder 05 / 5 = 1 with remainder 01 / 5 = 0 with remainder 1Then just write down the remainders in the reverse order to get the answer, The decimal number 639 converted to quinary is therefore equal to :
10024
A dollar bill is 4.4 x 10^-3 inches thick. How thick are 4000 dollar bills?
Answer:
17.6 inches thick
Step-by-step explanation:
when multiplying by 4000 each zero increases the power by one
Answer:
4000 dollar bills 17.6 inches thick
Step-by-step explanation:
4.4 x 10^-3= 0.0044 inches
0.0044 x 4,000 = 17.6 inches thick
i hope this helps you! :)
have a great day :D
find the area will mark brain list
Answer:
I guess the dude in the comments helped you out first but when that answer gets deleted this will be here
Step-by-step explanation:
plz give big brain crown
i need this done today whoever gets it correct gets brainliest!! PLZZZ HELPPP MEEE
Answer:
B is twice the size of A, so the ratio would be 2:1.
Step-by-step explanation:
Ahab wants to buy a garden statue that is 10% off. The original price
is $24.02.
What is amount of discount (nearest hundredth)?
Answer quick pls :,)
Answer:
$21.62
Step-by-step explanation:
Answer:
14.02
Step-by-step explanation:
first subtract 10 from 24 u got the answer easy
This figure is made up of two rectangular prisms.
What is the volume of the figure?
10 ft 3ft 6ft 12ft 19ft
What would x equal( rounded to the nearest tenth)
a dozen exercise books cause $840.what is the cost of four of the same exercise book
280
200
300
260
Step-by-step explanation:
☯ [tex] \underline{ \underline{ \large{ \tt{C \: O \: R\: R \: E \: C \: T \: I \: O \: N}}} }: [/tex]
Dozen of exercise books costs $ 840. What is the cost of four of the same exercise book ?✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V\:E \: N}}} }: [/tex]
Cost of dozen of exercise books [ 12 exercise books ] = $ 840✧ [tex] \underline{ \underline{ \large{ \tt{T \: O \: F \: I \: N \: D}}}} : [/tex]
Cost of four of the same exercise books✎ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I \: O \: N}}}} : [/tex]
Firstly , Find the cost of 1 exercise book[tex] \text{Cost \: of \: 1 \: exercise \: book }= \tt{ \frac{840}{12} = \$ \: 70 }[/tex]
Find the cost of 4 exercise books[tex] \text{Cost \: of \: 4 \: exercise \: books} = \tt{ \$70 \times 4} = \boxed{ \tt{ \$280}}[/tex]
[tex] \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \tt{ \$ \: 280}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night !ツ
Let me know if have any questions regarding my answer! ♪
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
One interior angle of a triangle is 60°. The other angle measures are x° and yº. Which of the following could be the values of
x and y? Select all that apply. X = 60, y = 60
X = 100, y = 20
X = 40, y = 80. x=50, y = 90
X = 45, y = 45
Answer:
x=60, y= 60
x=100, y= 20
x=40, y=80
Step-by-step explanation:
Triangles add up to 180 degrees. The ones above added to 60 equal 180.
60+60+60=180
100+20+60=180
40+80+60=180
Hope this helps! :)
Please answer!!! I’ll make brainliest
Answer:
10.3
Step-by-step explanation:
The question is asking to find the length of the hypotenuse of the triangle. This requires us to use the Pythagorean theorem. The legs measure 9 and 5, so we use these to solve for c.
[tex]9^{2} + 5^{2} =c^{2} \\81 + 25 = c^{2} \\106 = c^{2} \\[/tex]
We find the square root of both sides to find the value of c.
10.295 ≈ c
Rounded to the nearest tenth, c ≈ 10.3. The answer is 10.3
I need help!!!!!!!!!!!!!!!!
Step-by-step explanation:
1.2(3cm)×2(6cm)
6cm × 12cm
=72cm²
2. 2(5cm)×2(3cm)
10cm×6cm
60cm²
3.2(6cm)×2(3cm)
12cm × 6cm
72cm²
72cm²+60cm²+72cm²
=204cm²
plsss help i’ll give brainliest if you give a correct answer
Answer: x = 7
Explanation:
Subtract 8 from both sides to isolate x.
x + 8 = 15
x + 8 -8 = 15 - 8
x = 15 - 8
x = 7
Answer:
X=7
Step-by-step explanation:
have a good day /night
find the product of (3x+8)^2
Answer:
The product is 9x^2+48x+64
Step-by-step explanation:
Factor completely 49x2 − 9.
(7x + 3)(7x − 3)
(7x + 3)(x − 3)
(7x − 3)(7x − 3)
(7x − 3)(x − 3)
Answer:
number 1
Step-by-step explanation:
faster way to it to try to multiple the first to the 2nd one .
(7x+3)(7x-3)
( 7x .7x - 7x.3 ) + ( 3 .7x - 3.3)
49x^2 -21x + 21x - 9
it take you back to the original equation
Answer:
A is correct
Step-by-step explanation:
how do I do this question please help
need help with trig. find the value of variable to the nearest tenth
Answer:
x = 10.43
Step-by-step explanation:
use tan:
⇒ tan = [tex]\frac{opposite}{adjacent}[/tex]
⇒ tan 41 = [tex]\frac{12}{x}[/tex]
tan of 41 is 0.869
⇒ 0.869 = [tex]\frac{12}{x}[/tex]
multiply each side by 12
⇒ 0.869 x 12 =[tex]\frac{12}{x}[/tex] x 12
x = 10.43
Answer:x = 10.43
Step-by-step explanation:give credit to the other person
If the speed of sound is 1230 km/h, calculate the speed of sound in metres per second.
Write down your answer correct to the nearest metre.
Answer:
342 m/s
Step-by-step explanation:
1230x 1000 = 1230000
1230000 / 60 = 20500
20500 / 60 = 341.666 = 342
Answer: 3.4 * 10^(5)
Step-by-step explanation:
Plrase quick hurry !!!
SOMEONE ANSWER FASTT!!
*create an equation for this situation. Use the equation to solve the problem. (Algebra)
Some Girl Guides are raising money for their jamboree. Their goal is to raise $1000, They already have $232 from the bake sales. To raise the remainder, they are planning a walk-a-thon. if each person walking raises $24, how many walkers will the Girl Guides need to reach their goal?
leroy is calculating the probability of rolling a regualr 6-sided die and flipping a coun. He wants to know the probability if rolling a 4, then landing on heads twice Find P(4 and H and H).
Answer:
To roll the 4 is 1/6 and landing heads twice is 1/4 and 1/6 x 1/4 and the probability of him doing that would be 0.04166666666% chance
Step-by-step explanation:
Describe two different ways to find the total area of the park.
Answer:
1. Combine the like terms from all 3 sections then subsite for X.
2. You can subsitue X in and solve the areas for each section, then adding up the 3 areas.
Step-by-step explanation:
The two ways to find the total area of the park are:
Add the Areas of Each Section
Use Geometric Shapes
Both methods should give us the same total area of 3x² + 175x + 1200 ft².
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Method 1:
Add the Areas of Each Section
We can find the total area of the park by adding the areas of each section. Therefore, the total area is:
Total Area = Game field + Picnic field + Recreation area
Total Area = (x² + 95x + 450) + (x² + 45x + 450) + (x² + 35x + 300)
Total Area = 3x² + 175x + 1200 ft²
Method 2:
Use Geometric Shapes
Another way to find the total area of the park is to use geometric shapes that represent each section.
We can see that the Game field and Picnic field have the same area of
x² + 95x + 450 ft², which we can represent as a rectangle.
The Recreation area has an area of x² + 35x + 300 ft², which we can represent as a triangle.
Therefore, the total area of the park is the sum of the areas of the rectangle and triangle.
Total Area = Area of Rectangle + Area of Triangle
Total Area = (x + 15)(x + 30) + (1/2)x(x + 35)
Total Area = 3x^2 + 175x + 1200 ft^2
Thus,
Both methods should give us the same total area of 3x² + 175x + 1200 ft².
Learn more about expressions here:
https://brainly.com/question/3118662
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I need help with the first question pls
Answer:
67.5 feet
Step-by-step explanation:
If 1 inch = 9 feet, and the model is 7.5 inches,
you just need to do 7.5 • 9 = 67.5 feet.
OR
7 • 9 = 63 and 1/2 (or .5) • 9 = 4.5
63 + 4.5 = 67.5
*I'm pretty sure it says 1 inch = 9 feet and I'm also basing this off the fact that your work for question 2 is showing the same ratio of 1 inch = 9 feet
WILL GIVE BRAINLIEST AND 5 STAR PLS HELP
Answer:
The answer is D
I need the answers for questions 1-6
Help me? Giving brain
Answer:
40%
Step-by-step explanation:
10/25 = 0.4
0.4 into a percentage is 40%
Answer:
40%
Step-by-step explanation:
25/10 = 2/5 = .4 or 40%
The Davis family is going to reseed the grass in the backyard. Their yard is irregularly shaped with a cement patio and rectangular garden as shown below.
Given that the family will not need grass seed for the patio or the garden areas, what is the total area of the land will they be reseeding?
Answer:Answer:
1,482 square feet
Step-by-step explanation: Find total area - 37 x 46 = 1,702
Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden
Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft