Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
mark me as brilinist please
Answer:
.4
Step-by-step explanation:
2.80/7=.4
7 x 0.4 = 2.8
A scientific calculator has 42 buttons. There are twice as many grey buttons as orange buttons. There are two more white buttons than grey buttons. There twice as many black buttons as white buttons. WRITE AN EQUATION TO CALCULATE HOW MANY BUTTONS OF EACH COLOUR THERE ARE. LET X REPRESENT THE NUMBER OF ORANGE BUTTONS.
Answer:
x + 2x + 2x + 2 + 4x + 4 = 42
Step-by-step explanation:
Let us assume the number of orange buttons be x
So, the grey buttons be 2x
The white buttons would be 2x + 2
And the black buttons be 2(2x + 2) i.e. 4x + 4
Also the total is 42 buttons
So, the equation is
x + 2x + 2x + 2 + 4x + 4 = 42
plsss help ASAP!!!
BRAINLIEST
1.) What is the average rate of change between x=2 and x=5?
2) What is the average rate of change between x=3 and x=6?
3) What is the average rate of change between x=2 and x=4?
Answer:
Rate of change = 150%
Rate of change = 100%
Rate of change = 100%
Step-by-step explanation:
Find:
Rate of change
x=2 and x=5
x=3 and x=6
x=2 and x=4
Rate of change = [(5-2)/2]100
Rate of change = 150%
Rate of change = [(6-3)/3]100
Rate of change = 100%
Rate of change = [(4-2)/2]100
Rate of change = 100%
Answer:
2 4 8 next : increases
Step-by-step explanation:
HELP HELP DUE in 11 ahahhajs
Answer:
1st one: 270 ft ^2
2nd: 30 square yards
Step-by-step explanation:
The first one you have to find the area. 15×18= 270
The second one you take the previous answer and divide by 9= 30 square yard. (Might be wrong?)
Find the measure of the indicated angle to the nearest degree?
Please hurry
Answer:
45 degrees
Step-by-step explanation:
Using the pythagorean theorem, the 3rd side=19. So the triangle is isosceles and therefore the 2 angles we don't know the measure of are congruent. One angle measures 90 degrees. So the last 2 angles must be 90 together, since we know a triangle equals 180 degrees. Therefore the angle we are trying to find is 45 degrees.
choose the correct classification of 2x+10^2-x^3
a) third degree trinomial
b) fourth degree trinomial
c) sixTh degree polynomial
d) first degree binomial
can some one plss help me??
Answer:
a) third degree trinomial
Step-by-step explanation:
The degree of a polynomial is the same as the degree of the term of the polynomial with the highest degree. The degree of a term is the sum of all the exponents of the variables of the term. Remember that a variable such as x, or y, or z has degree 1.
Now we look at the degree of each term:
2x: degree 1 (since x is the same as x^1)
10x^2: degree 2
-x^3: degree 3
The term with highest degree is the last term which has degree 3, so the degree of the polynomial is 3.
The polynomial has 3 terms, so it is a trinomial.
Answer: a) third degree trinomial
PLS HELP. CIRCUMFERENCE QUESTION! WILL GIVE BRAINLIEST
Answer:
L = 24,873.6 miles
Step-by-step explanation:
Length of the Circumference
Given a circle of radius r, the length of the circumference, or line surrounding the shape is:
The Earth has a diameter of 7,917.5 miles. The radius is half the diameter:
r=7,917.5/2=3,958.75 miles
Assuming a plane flies around the equator at ground level, the distance it would travel is:
L = 24,873.6 miles
Find the value of the trigonometric ratio Sin C
Answer:
20/29
Step-by-step explanation:
Sin is Opposite/Hypotenuse. The opposite leg is 20, and the hypotenuse is 29.
if x-y=9,x²+y²=27,then xy=?
Answer:
xy = - 27
Step-by-step explanation:
Note that
(x - y)² = x² - 2xy + y² ← substitute given values, that is
9² = 27 - 2xy
81 = 27 - 2xy ( subtract 27 from both sides )
54 = - 2xy (divide both sides by - 2 )
- 27 = xy
List all the integers that satisfy
2< x < 6
Answer:
3,4,5
Step-by-step explanation:
Integers means whole number
< and > means that the integers can't be the same as the number before.
Hope that helps!!
PLZ HELP ASAP ASAP!!!!
==============================================================
Explanation:
The value of k determines the slope, or rate of change, of how fast the balloon is climbing per second.
For example, if k = 5, then that means the balloon is going upward at 5 feet per second (equivalent to roughly 3.41 mph)
If k = 5, then y = kt becomes y = 5t. Note how we have the following
t = 0 leads to y = 0t = 1 leads to y = 5t = 2 leads to y = 10t = 3 leads to y = 15and so on. Each time t goes up by 1, d goes up by 5. This is one way to see how the speed is 5/1 = 5 ft per second.
Answer this correctly and ill give brainliest
Answer: C
Step-by-step explanation:
How to solve 6x + y= -5, -6x + 12y=96 using elimination and does it have no solution or many solutions?
Answer:
x = -2
Step-by-step explanation:
Arrange 6x + y= -5, -6x + 12y=96 vertically:
6x + y= -5
-6x + 12y=96 Now combine like terms:
--------------------
13y = 91
Solving for y by dividing both sides by 13: y = 7
Find x by substituting 7 for y in the second equation: -6x + 12(7) = 96
Then -6x = -84 + 96, or:
-6x = 12, and so x = -2
Select the correct answer.
What is the variable being tested in an experiment?.
A.
response variable
B.
placebo
C.
explanatory variable
D.
control variable
PLEASE HELP ILL MARK YOU RHE BRAINLYEST
Answer:
A
This other person is correct about the answer the dependent variable is the variable that is being measured or tested in an experiment and response variable is a another way of saying that.
Answer:response variable
Step-by-step explanation:
plato
PLEASE HELP>YOU CAN LITERALLY SAVE MY LIFE
What is the total bill you would leave for a $22 haircut and a 15% tip?
and
What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip?
Answer:
Step-by-step explanation:
$25.30
and
$68.04
Answer:
25.3 and 77.5 i think
Step-by-step explanation:
hiring sports hall costs £30 booking fee and then £10 per hour. Chris hires and pays £120. How many hours did chris hire the hall for?
Answer:
3 hours
Step-by-step explanation:
$30 + $10 = $40
* Just for a hour and the fee*
$128 ÷ $40 = 3
Answer:
he paid 8 hours
Step-by-step explanation:
kasi ibawas mo ang 30£ sa booking tapos i add mo yung 80£ sa
hours sa hall kasa naging 8 hours
Help ASAP due today
Part A
Describe how you can decompose the shape into triangles
Part B
What would be the area of each triangle
Part C
Using your answers above determine the area of the table surface
Can someone help me with this
Answer:
c
Step-by-step explanation:If you never know an answer just pick c:)daily life advice
Someone please help me ASAP because I am really stuck thank uuuuu!!!!!
Answer:
2 3/10
Step by step explanation:
express (3x+1)(2x-5) as a trinomial
6 x 2 − 13 x − 5 hope this helped,
Answer: (3x+1)(2x−5)
6
�
2
−
15
�
+
2
�
−
5
6x
2
−15x+2x−5
Distribute (FOIL)
6
�
2
−
13
�
−
5
6x
2
−13x−5
Step-by-step explanation:
WOULD SOMEONE TELL ME PLEASE !!
Answer:
A and C
Step-by-step explanation:
alternate-exterior angles need to have one angle above the first line and the other angle below the second line and the angles have to be on different sides of the transversal
Reflect the point ( 7, 1) on the line y=x.
Answer: (1, 7)
Step-by-step explanation:
When you reflect over the line y = x, the x and y switch places so it goes from (x, y) to (y, x)
(7, 1) to (1, 7)
In your own words, what is a radical expression?
Answer:
In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher. When the radical symbol is used to denote any root other than a square root, there will be a superscript number in the 'V'-shaped part of the symbol. For example, 3√(8) means to find the cube root of 8. If there is no superscript number, the radical expression is calling for the square root.
The term underneath the radical symbol is called the radicand.
I hope it's helpful!
*GUYS PLEASE HELP ME ILL GIVE BRAINLIEST*
what you need to do is write an equation for each graph *ILL REALLY APRECIATE YOUR HELP*
Answer:
Download the app photomath and right your solution
First, you need to know what "m" and "b" represents.
"m" represents slope, and "b" represents the y intercept.
For the equation you can combine the information to get y = mx + b
To find "m" indentify points, and see how many you have to go up/down then left/right.
To find "b" since the graphis given see where the line crosses the y axis. (0, b)
1. m = -1, b = 3
y = -1x + 3
2. m = 1, b = -3
y = 1x -3
3. m = 3/1 or 3, b = 1
y = 3x + 1
4. m = -3/1 or -3, b = -3
y = -3x -3
The volume of a box is 192 cubic inches.
The height is 4 inches. The width is 2
inches more than the length. Find the
missing dimensions.
Answer:
base=24
Step-by-step explanation:
2*4=8
192/8=24
8x=2 what is the value ofx
Answer:
x=0.25
Step-by-step explanation:
8x=2
4x=1
4x÷4=1÷4
x=0.25
Simplify. 6(23x–5)−7x−8
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26
What is the experimental probability that Jenny will pull out a pink tile?
Answer:
Step-by-step explanation:
The experimental probability of choosing pink is
18/50
9/25
Answer:
The answer would be 18/50
Step-by-step explanation:
First part
Prob(Pink) = 18/50
Negative 11/14 times negative (1/17)
Step-by-step explanation:
[tex] - \frac{11}{14} \times - \frac{1}{17} \\ = \frac{11}{14 \times 17} \\ = \frac{11}{238} [/tex]
Hope it will help :)
Answer:
The answer is 11/238
Hope it helps
Pls help me with the question in the pic
Answer:
9/16
Step-by-step explanation: