Answer:
Other root of equation, [tex]\frac{8}{3}[/tex]
Value of ([tex]b[/tex]), [tex]-17[/tex]
Step-by-step explanation:
The given quadratic equation is in standard form. Standard form is the basic format of representing a quadratic equation, a quadratic equation in standard form would use the following format,
[tex]y=ax^2+bx+c[/tex]
To solve this problem, one could use Vieta's theorems. Vieta's theorems state the following, let ([tex]x_1[/tex]) and ([tex]x_2[/tex]) represent the roots of the equation,
[tex](x_1)+(x_2)=-\frac{b}{a}[/tex]
[tex](x_1)(x_2)=\frac{c}{a}[/tex]
Substitute the given values into the equation,
[tex]3+(x_2)=-\frac{b}{3}[/tex]
[tex](3)(x_2)=\frac{24}{3}[/tex]
Simplify,
[tex](3)+(x_2)=-\frac{b}{3}[/tex]
[tex](3)(x_2)=8[/tex]
Inverse operations,
[tex](3)+(x_2)=-\frac{b}{3}[/tex]
[tex]x_2=\frac{8}{3}[/tex]
Substitute in the value of ([tex]x_2[/tex]),
[tex](3)+(\frac{8}{3})=-\frac{b}{3}[/tex]
Simplify, convert to improper fractions and combine like terms,
[tex]\frac{9}{3}+\frac{8}{3}=-\frac{b}{3}[/tex]
[tex]\frac{17}{3}=-\frac{b}{3}[/tex]
Multiply both sides of the equation by ([tex]3[/tex]) to remove the denominator,
[tex]17=-b[/tex]
PLEASE I need help!!!!
Answer:
a. 40 ft²
b. 21 ft²
c. 61 ft²
Step-by-step explanation:
Rectangle area formula: l * w
Triangle area formula: 1/2(bh)
10 * 4
40 ft² for the rectangle
1/2(7 * 6)
1/2(42)
21 ft² for the triangle
40 + 21
61 ft² in total (both the rectangle & the triangle)
Which two expressions are
equivalent?
A. (7.x) - 12 and (x-7) - 12
B. (x + 4) = 10 and x + (4 = 10)
C. 30. (x - 4) and 30 · (4 - x)
D. 18 - (8 + x) and (8 + x - 18)
HELP!!!
Answer:
B
Step-by-step explanation:
I don't have an explanation but i know its right!!!
what is 3 2/4 as a whole number
Answer:
4Step-by-step explanation:
3 2/4 = 3.5If rounded up,
3.5 ≈ 4 as a whole numberJulius is at point A He moves 3 units to the left and 2 units down from his
location and picks up a baill What are the coordinates of the points from where
he picked up the ball?
Answer:
(8, 10)
Step-by-step explanation:
He is at (11, 12). He moves three to the left, so 11 - 3 = 8. He then moves two down. 12 - 2 = 10. Therefore, he is at point (8, 10).
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Answer:
$2 is the answer ok no problem
the dimensions of a rectangle are given in terms of X as shown below the perimeter of the rectangle is 7 3/5 units. what is the value of x
Answer:
it is 8.65
Step-by-step explanation:
it just is but if it is wrong sorry been a while since i done this
Answer:
x=1.5
Step-by-step explanation:
what expression is equivalent to -3(6x+7)+4(7x+2)
Answer:
10x-13
Step-by-step explanation:
First Distribute:
-18x-21+28x+8
Then combine like terms:
10x-13
Which expression is equivalent to 0.06h +h+0.85h?
Answer:
1.91h
Step-by-step explanation:
0.06h+h+0.85h
1.91h
Answer:
The first one asdfghjkfruyctdf
Step-by-step explanation:
Which is not an example of intersecting lines?
No Web Sites!
A . Graph Paper
B. A piece of copy paper
C. a woven basket
D. A street with a four way stop at corner.
Answer:
B. A piece of copy paper.
Find the x-intercept and y-intercept
from the following linear equation:
-2x + 4y = -16
Answer:
x-intercept: (8, 0)
y-intercept: (0, -4)
Step-by-step explanation:
Calculate the Ek of a running back that has a mass of 80 kg and is running at a velocity of 8 m/s.
Answer:
2560 J
Step-by-step explanation:
mv^2/2
80(8)^2/2
2560 J
Carmen leaned a 13-foot ladder against a wall. If the base of the ladder is 4 feet from
the bottom of the wall, approximately how far up the wall does the ladder reach?
Answer:
13+4=17
Step-by-step explanation:
The required ladder reaches approximately 12.37 feet up the wall.
What is the Pythagorean theorem?The Pythagorean theorem is a fundamental theorem in geometry that describes the relationship between the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In algebraic terms, the Pythagorean theorem can be written as:
a² + b² = c²
where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.
Here,
We can use the Pythagorean theorem to solve this problem. Let's denote the distance from the bottom of the wall to where the ladder reaches the wall as h. Then we have,
h² + 4² = 13²
h² + 16 = 169
h² = 153
h ≈ 12.37
Therefore, the ladder reaches approximately 12.37 feet up the wall.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 14 units. What is BC, the height of the pyramid? 7 units 7StartRoot 2 EndRoot units 14 units 14StartRoot 2 EndRoot units
The length of line height BC according to the given parameter is; 14√2.
What is the length of the line BC?It follows from the task content that the base edge length of the pyramid is 14 units.
On this note, it follows that length of the segment BC is given by Pythagoras theorem as;
BC² = 14² + 14²
BC = 14√2.
Read more on Pythagoras theorem;
https://brainly.com/question/654982
#SPJ2
Answer:
D. 14StartRoot 2 EndRoot units
Step-by-step explanation:
Edge
The table shows information about the type and number of sandwiches ordered by 80 customers. If 120 customers order a sandwich, how many would you expect to order a club?
Answer:
54
Step-by-step explanation:
80 Customers divide that by 2 =40
36÷2= 18
So if 120 Customers were to order then you would just add 18 to 36 and that would make it 54.
Basically just find how many clubs are bought in 40 customers then multiple it by 3
PLEASE HELP!!!!
Robert is baking desserts for a picnic. He needs to make at least 20 servings of dessert for the
event. For every batch of brownies he bakes, he will get 8 servings, and every pie will
yield 14 servings.
Answer:
x*8 + y*14 ≥ 20
Step-by-step explanation:
We know that:
A batch of brownies makes 8 servings.
A pie makes 14 servings.
He wants to make, at least, 20 servings.
Then if he makes x batches of brownies, he will get x times 8 servings.
If he makes y pies, he will get y times 14 servings.
Adding that, he will get a total of:
x*8 + y*14 servings
And because he wants to make at least 20 servings (he can make 20 or more)
The inequality will be:
x*8 + y*14 ≥ 20
Where the "≥" symbol means that the expression at the left is greater than or equal to the expression of the right
6. If f(x) = -2r2 + x-5, what is f(3)?
Answer:
Step-by-step explanation:
can someone help me with this
Answer:
13
Step-by-step explanation:
To solve the problem, you have to do A squared + B squared = C squared. So for your A and B it doesn't matter what order you put them in. We will do 12 sqaured + 5 squared = C squared. 12 squared is 144 and 5 squared is 25. By adding 144 and 25 together, it gives us 169. When we take the square root of 169, we get 13. 13 is the length of the hypotenuse.
Which equation shows y = (x − 4) 2 − 3 written in standard form?
Answer:
2x-y=11 is the standard form
Step-by-step explanation:
Find x, the missing side length in the right trienagle.
12
X
20
Answer
Answer:
x=16
Step-by-step explanation:
20^2-12^2=256
sqrt256=16
PLEASE HELP AND HURRY!
The front of the home is being painted, not including the door the door measures 9ft by 2ft how many square feet will be needed
IGNORE THE WRITING
Answer:
ANSWER BELOW
Step-by-step explanation:
If the door is 9 x 2 ft (18 sq ft):
12 x 18 = 216 sq ft. (Front face including the door)
216 sq ft - 18 sq ft = 198 (Front face not including the roof or door)
For the roof, the formula is h b/2:
So if the height is 4 and the base is 18, the area of the roof is 36.
To find the total area, you must add the area of the front face and the roof (without the door).
198 + 36 = 234 sq ft
Have a wonderful day my friend!
Answer:
i only answered so you could give the other person brainliest.
Step-by-step explanation:
Yea.
You and your friend decide to go to Red Robin to eat. You are both part of the rewards club and receive coupons in the mail. You have a coupon a coupon for 10% off the total bill. Your friend has a coupon for $5 off the total bill. Which coupon should you use to save the most money if the total bill was $29.90? *
A. the $5 off coupon
B. the 10% off coupon
C. either one
D. cannot be determined
Answer:
A. the $5 off coupon
Step-by-step explanation:
10% off would only be 2.99 off the bill making it 26.91 but the $5 would take off more
The coupon I would use to save the most amount of money on the total bill is my friend's coupon worth $5.
Which coupon should I use?Coupons reduce the price of an item. An item becomes cheaper after a coupon has been used. In order to determine the better coupon, calculate the price after each coupon has been used.
Coupon 1 : 10% x 29.9 = $3
Coupon 2 : 29.90 - $5 = $24.90
To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308
HERE for help me one more
Answer:
Im pretty sure its D.
Step-by-step explanation:
I think it would be option D. Is it considered the subsoil layer
A. 34
B. 55
C. 65
D. 145
Ravi is running against two other candidates for student council president. All of the 750 students in Ravi's school will vote for student council president. How can Ravi generate a representative sample that will help him determine whether he will win the election?
(7th grade 8-1)
Answer:
50 students from each grade
Step-by-step explanation:
If we get the similar amount of people from each and every grade so this would represent the percentage occur from each grade this determine the number of people who vote per grade and represent that how much would the vote for student comes
Also 50 is easily divisible by 750
Therefore the above represent the answer
Identify CD. Please help ASAP
Answer: CD=7
Step-by-step explanation: By the definition of congruence, AB=CD.
Substitute the given expressions for AB and CD.
x+5=2x+3
Subtract x from both sides.
5=x+3
Subtract 3 from both sides.
2=x
Substitute x=2 back into the expression for CD and simplify.
CD=2(2)+3=7
Therefore, CD=7.
I hope this helps.
ariana
What is the product (3x10^9) x (2x10^17) in scientific notation
Answer:
6·10^26
Step-by-step explanation:
Multiply together the coefficients 3 and 2, obtaining 6. We must also multiply together the powers of 10; we do this by ADDING the exponents 9 and 17, to get the final answer
6·10^26
Answer:
6•10^26 is the answer.
A quarter horse often excels at running races of 1/4 mile or less .how many feet is that
Answer:
1320ft
Step-by-step explanation:
1 mile is equal to 5280 feet, divide 5280/4
this will result in a quarter mile, being 1320ft. So for the question "1/4 mile or less" the Answer is the horse excels in 1320ft mile races
PLEASEEEE HELPPPPP ME !! :)
Answer:
ok ok, i think it's the last one
Step-by-step explanation:
a box in the shape of a triangular prism is shown below. what is the surface area of the box.
a. 94in
b.96in
c.98in
d.100in
Answer:
I' m not sure if I'm right but i think the answer is
surface area
A≈85.29
given y²+5y-6= (y+p) (y+q), find the values of p and q.
Answer:
(y+6)(y-1)
Step-by-step explanation:
literally factorising.
y^2 x -6 = -6y^2
u need two numbers that multiply to make -6 and add them together to make +5 which is +6 and -1.
Answer:
p = 6, q = - 1 , or p = - 1, q = 6
Step-by-step explanation:
Factorise the quadratic expression on the left side
y² + 5y - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)
The factors are + 6 and - 1 , since
6 × - 1 = - 6 and 6 - 1 = + 5 , then
y² + 5y - 6
= (y + 6)(y - 1) = (y - 1)(y + 6)
Compare to (y + p)(y + q) , then
p = 6, q = - 1 or p = - 1, q = 6