Answers
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Explanation:
You could use the AC method to factor this, but the quadratic formula is the most efficient route in my opinion. This will avoid any guess-and-check.
Compare the original equation to the form [tex]a\text{x}^2 + b\text{x} + c = 0[/tex]
We have a = 9, b = 6, and c = -8
Those values lead to...
[tex]\text{x} = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{x} = \frac{-6\pm\sqrt{(6)^2-4(9)(-8)}}{2(9)}\\\\\text{x} = \frac{-6\pm\sqrt{324}}{18}\\\\\text{x} = \frac{-6\pm18}{18}\\\\\text{x} = \frac{-6+18}{18} \ \text{ or } \ \text{x} = \frac{-6-18}{18}\\\\\text{x} = \frac{12}{18} \ \text{ or } \ \text{x} = \frac{-24}{18}\\\\\boldsymbol{\text{x} = \frac{2}{3} \ \text{ or } \ \text{x} = -\frac{4}{3}}\\\\[/tex]
Side notes:
2/3 = 0.667 approximately-4/3 = 1.333 approximatelySince your teacher did not give rounding instructions, I'll assume s/he wants the fraction form of each x value (rather than the decimal form). Be sure to follow all instructions given, and ask for clarification if need.To confirm the solutions, replace every copy of x with either 2/3 or -4/3 (pick one value only). Simplifying the left hand side should lead to 0. I'll let you check each answer.Related Questions
Given that ABCD is a parallelogram. Find the following
Answers
Answer:
m=8
m<A=83
m<D=97
Step-by-step explanation:
Angles that are opposite of each other in a parallelogram are equal. Knowing this, we can first conclude that angle A and angle C are equal. We can set up the following equation:
[tex]9m+11=8m+19[/tex]
Subtract both sides by 11
[tex]9m+11-11=8m+19-11\\9m=8m+8[/tex]
Subtract both sides by 8m
[tex]9m-8m=8m+8-8m\\m=8[/tex]
To calculate angle A, plug the value of m into its expression.
[tex]<A=9m+11\\<A=9(8)+11\\<A=72+11\\<A=83[/tex]
In a parallelogram, angles that share a side are supplementary, meaning they add up to 180 degrees. Therefore, angle A and angle D are supplementary. Knowing this, we can set up the following equation:
[tex]180=83+D[/tex]
Subtract both sides by 83
[tex]180-83=83+D-83\\97=D[/tex]
I hope this helps!
There are 4 identical wooden blocks that are 20 inches long, 2 inches wide, and 1 inch thick. If you glue them together, what is the difference of the largest and smallest outer surface area you can get?
Answers
Answer:
Step-by-step explanation:
5 inches wide, and 2 inches thick. if you glue them together(stacked) what is ... If you glue the largest area faces together you will get the smallest overall ... The total surface area of one of the blocks is 2 times 250 square inches plus 2 times ... 720 times 3 is 2160 minus 4 times 250 is 2160 minus 1000 is 1160.
2. it's not B
Write a rule for the linear function shown in the graph.
A. y = -5/2x - 1
B. y = 3x – 1
C. y = 2/5x + 1
D. y = 5/3x + 1
Answers
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( 0 , 1 )
Equation Form:
x = 0 , y = 1
Step-by-step explanation:
Graph.
y = − 5/ 2 x − 1
y = 3 x − 1
y = 2/ 5 x + 1
y = 5/ 3 x + 1
CAN YALL HELP!!!!!!!!!!!!! 8TH GRADE
Answers
Answer:
C
The others are irrational numbers. C can be a rational number.
A toy store had 789 games.
It sold 53 of these games.
How many games are at the store now?
I games
?
Answers
Answer:
736 games are at the store now
Step-by-step explanation:
789-53=736
Answer:
736
Step-by-step explanation:
789-53=736
Answer the photo below thanks
Answers
Answer:
You're right, the answer is C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I am not sure if it is B or C, but I can say that it is not A since the figure in A is rotated. Figure in B kinda looks like a reflection then C because if the figures were translated then the corner should be at one side. Sorry if that kinda confused you, but I added a picture of what I am trying to say for the figure in option B. I guess it is C.
Hope this helps, thank you !!
Neeeeeeeeed your help
Answers
Answer:
9/15=3/5
so 3/5 is equivalent fraction of the 9/15
The candy store has a stock of candy. They have 15 bags of tootsie rolls, 10 boxes of nerds, 12 bags of gummy
bears, 5 bags of M&M's and 22 bags of skittles. Find the ratio of nerds to skittles. Be sure to simplify.
Answers
Answer:
ratio of nerds to Skittles
= 10:22
= 5:11
y=8x+b
8 x 2+76=92
What is the solution to the system of equations?
Answers
Answer:
31. 3-(4+7)/8 33. 2/(3+x)-x*y^2. 35. 3.1x^ 3-4x^(-2)-60/(x^2-1) 37. (2/3)/5. 39. ... 31. a. x(2 + 3x) b. x = 0, −2/3 33. a. ... No; the associated system of equations still.
If you are making broccoli cheese soup the ratio of cheese to broccoli to broth is 5:6:10 if there is 100 parts broth how many of each ingredient should you use
Answers
Answer: See explanation
Step-by-step explanation:
Since there are 100 parts broth, the number to use for each ingredients will be:
Cheese = 5 × 100/10 = 5 × 10 = 50
Broccoli = 6 × 100/10 = 6 × 10 = 60
Broth = 100
What is the radius and diameter of the following circle?
Answers
Answer:
radius=7.5, diameter=13
Step-by-step explanation:
diameter is the length across a circle through the middle, and it is given in the picture. radius is half of the diameter
The diagram at right shows a regular
hexagon
What is the area of the shaded region?
Round your answer to the nearest tenth.
I
20
20
Apothem Length: 10,3
Answers
Answer:
Nice
Step-by-step explanation:
the first week of June there were 404 customers at an ice cream parlor. Eight weeks later, the number of customers was 175% of this amount. How many customers were there eight weeks later?
Answers
Answer: 707
Step-by-step explanation: 404*175% or 404*1.75= 707
Answer:
707
Step-by-step explanation:
404 x 1.75 = 707
If x= 1/3 is one of the solutions of an equation then what is the factor that gave us this solution
Answers
Answer:
3x - 1 = 0
Step-by-step explanation:
If x = 1/3
multiply both sides by 3
3 * x = 1/3 * 3
3x = 1
Subtract 1 from both sides ;
3x - 1 = 1 - 1
3x - 1 = 0 ( the factor which gives the solution)
3x - 1 = 0
3x = 1
Doavide both sides by 3
3x / 3 = 1/3
x = 1/ 3
HEY GUYS PLS HELP (kinda easy tho)
Answers
Answer:
74
Step-by-step explanation:
13 5-peso coins
9 1 peso coins
13 X 5 = 65
9 X 1 = 9
65+9 = 74
NEED HELP ASAPPPPPP PLZZZZZ
Right one paragraph on
What is factoring by using GCF?
Answers
Answer:
GCF is the largest factor that all terms have in common.
Which is the simplified form of the expression below? 6w + 23 + 3w A. 3w+23 B. 6w+3w C. 6w+23 D. 9w+23
Answers
Answer:
D, 9w + 23
Step-by-step explanation:
Add like terms.
what is the area of this triangle ?
Answers
Answer:
not a triangle, but ok
19.35
Step-by-step explanation:
you can cut off the triangle at the dotted line. put it on the other side, and you have a rectangle. 4.5x4.3=19.35
the "5cm" is a red herring. and accurate red herring, but a red herring nonetheless.
9. Teresa was taking her two children to the zoo. She purchased 1 adult ticket for herself and 2 children's
tickets for a total of $18.20. A family of 5 was also visiting the zoo. -The family purchased 2 adult tickets and
3 children's tickets for a total of $30.90. How much money did an adult ticket cost?
Answers
Answer:
plz mark as brainliest
Step-by-step explanation:
$7.9
Please help!
If these two shapes are similar, what is the measure of missing length h?
Answers
Answer:
5
Step-by-step explanation:
Select the two points that the line would go through. Practice on a piece of paper in front of you.
(1,-3)
(4,1)
(6,3)
(2,-2)
Answers
Answer:
(1,-3), (2,-2)Step-by-step explanation:
The graph passes through (3, -1) and (0, -4)
The slope is:
(-4 - (-1))/-3 = -3/-3 = 1The y-intercept is given: -4
The line is:
y = x - 4See the graph
The points plotted as well and those on the line are:
(1,-3)(2,-2)A pair of shoes are on sale, they are marked 40% off. The discount is equal to 20 dollars, what is the original price of the shoes
Answers
Answer:
$44
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRAINLIEST, EXPLAIN YOUR ANSWER PLEASE
Answers
Answer: -20v^3 - 30x^2 +20
Step-by-step explanation:
simply multiply each term inside of the parentheses by -5.
Answer:
20v³ + 20 - 30x²
Step-by-step explanation:
multiply -5 by all three terms inside parentheses
(-5)(-4v³) + (-5)(-4) + (-5)(6x²)
20v³ + 20 - 30x²
Can someone pls help me with this ?
Answers
Answer:
1,3,4,5
Step-by-step explanation:
I cant see 8
Pls help me with this math problem
Answers
Answer:
12 ima shoot u
Step-by-step explanation:
How do I do this??? Sorry for my sloppy hand writing I’m in a rush...and can someone pls tell me if I’m doing this right???
Answers
There are a couple of ways to do this. I’ve put one in the picture. Let me know if you have more questions.
x/5 = 2,2 help??????
Answers
Answer: 22
Step-by-step explanation:
11. If AB = BC and BC = CD, which property shows AB = CD?
Answers
Answer:
i belive its the transitive property
sry if im incorrect
A local little league has a total of 60 players, of whom 40% are left-handed. How many left - handed players are there?
Answers
Answer:
24 players
Step-by-step explanation:
Answer:
24. 60 X 4/10 is 24
Step-by-step explanation:
finding value of x. PQR
P- 2x°
3
3
3
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Equilateral Triangles.
Since, we know that, all the sides of a triangle are equal, hence it is a Equilateral triangle.
Equilateral triangle has one all angles equal to 60°.
so, major angle P = 60°
hence, 2x=60°
===> x = 30°