Given:
The equation is:
[tex](2x+1)(x-2)=0[/tex]
To find:
The values of a, b and b from the standard form.
Solution:
The standard form of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex] ....(i)
We have,
[tex](2x+1)(x-2)=0[/tex]
In can be rewritten as
[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]
[tex]2x^2-4x+x-2=0[/tex]
[tex]2x^2-3x-2=0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2,b=-3,c=-2[/tex]
Therefore, the correct option is C.
For a beverage, Lisa mixes cups of lemonade to cups of iced tea in a ratio of 2:5. Which of the following best describes the amount of lemonade to iced tea?
For every 2 cups of lemonade, there are 3 cups of iced tea.
For every 2 cups of lemonade, there are 5 cups of iced tea.
For every 3 cups of lemonade, there are 2 cups of iced tea.
For every 5 cups of lemonade, there are 2 cups of iced tea.
Answer:
Answer 2 would be true.
Step-by-step explanation:
Because our ratio is 2:5 (or 2 to 5 for easier understanding) we know that every 2 cups we use of lemonade, we pair with 5 cups of tea.
Answer:
The answer is B
Step-by-step explanation:
For every 2 cups of lemonade, there are 5 cups of iced tea.
The sophomore class needs a combined total of 216 medium and large t-shirts for field day. The number of medium t-shirts needed is three times the number of large t-shirts needed. Based on this information, would it be reasonable for the sophomore class to order 72 large t-shirts and 144 medium t-shirts? A. No, because the number of medium t-shirts is not 3 times the number of large t-shirts B. No, because the number of large t-shirts is not 3 times the number of medium t-shirts C. Yes, because the total number of t-shirts is 216 D. Yes, because the number of large t-shirts is of the total number of t-shirts
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Finding slope given two points on the line
Find the slope of the line passing through the points (-4, 6) and (3, -8).
Answer:
The slope is -2
Step-by-step explanation:
Hi there!
We are given the points (-4, 6) and (3, -8)
We want to find the slope (m) of the line that passes through these points
We can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to calculate the slope, where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.
[tex]x_1=-4\\y_1=6\\x_2=3\\y_2=-8[/tex]
Now substitute into the formula
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-8-6}{3--4}[/tex]
Simplify:
m=[tex]\frac{-8-6}{3+4}[/tex]
m=[tex]\frac{-14}{7}[/tex]
Divide
m = -2
The slope of the line is -2
Hope this helps!
See more on calculating slope from 2 points here: https://brainly.com/question/26738734
Mio calculated the volume in this way : V = 12 • 5
Explain what the 12 and 5 represent in the figure.
please help me i don’t know te anser
A=b h................
Answer:
A = 20
Step-by-step explanation:
A = bh
b = 4
h = 5
4 × 5 = 20
angle A and angle B are complementary angles. If m angle A = (6x – 8)° and m
angle B = (5x + 21)°, then find the measure of angle B.
Answer: B = 56 degrees
Step-by-step explanation: Complementary angles add up 90 degrees. So we will set both of the equations equal to 90 degrees and then solve from there.
6x+8+5x+21=90
1. Simplify 5x + 6x and 21 - 8
11x+13=90
2. Subtract 13 from both sides.
11x=90-13
3. Simplify 90-13 to 77.
11x=77
4. Divide both sides by 11.
x = 77/11
5. Simplify 77/11 to 7
x=7
Now we have to take the value of x and substitute it back into B = (5x+21)
1. Substitute
B = (5(7)+21)
B = 35 +21
B = 56
HOPE THIS HELPS :)
Solve for x. round your answer to the nearest tenth
Trigonometry
Answer:
[tex]\displaystyle x \approx 16.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 6
Step 2: Solve for x
Substitute in variables [tangent]: [tex]\displaystyle tan70^\circ = \frac{x}{6}[/tex][Multiplication Property of Equality] Isolate x: [tex]\displaystyle 6tan70^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 6tan70^\circ[/tex]Evaluate: [tex]\displaystyle x = 16.4849[/tex]Round: [tex]\displaystyle x \approx 16.5[/tex]Multiply. Write your answer as a fraction in simplest form.
−1(45)=
asap
Answer:
-9/20
put 45 over 100, then divide them both by 5.
Please help me do this
Answer:
∠ U = 60°
Step-by-step explanation:
The tangent- tangent angle U is half the difference of its intercepted arcs
minor arc VT = 120° , then
major arc VT = 360° - 120° = 240°
Then
∠ U = [tex]\frac{1}{2}[/tex] (240 - 120)° = [tex]\frac{1}{2}[/tex] × 120° = 60°
someone please help me
Answer:
A. 20ft
Step-by-step explanation:
Answer:
d. 98.5
Step-by-step explanation:
Triangles:
5 x 4 = 20/2 = 10
Circle:
5² x 3.14 = 78.5
Add both of them 98.5
Jen collects stamps. The first month she added 25 stamps. Six months later, she doubled in number to a total of 98. How many stamps did she have to start her collection?
Answer:
49
Step-by-step explanation:
What is the value of x?
Answer:
x = 64
Step-by-step explanation:
2x = 128
x = 64
Answer:
hi
Step-by-step explanation:
i think so
128⁰+2x⁰=180⁰
2x⁰=180⁰-128⁰
2x⁰=52⁰
x=52/2
x=26⁰
hope it helps
have a nice day
Please answer this and my recent questions if you can
Answer:
x is 15
Step-by-step explanation:
b is 75 hope this helps you
Can anyone help me on this question???
Answer:
Step-by-step explanation:
PLZ HELP NEED BY TODAY!!
Step-by-step explanation:
Given 5x + 8 = 118 (vertically opposite angles)
[tex]5x + 8 = 118 \\ 5x = 118 - 8 \\ 5x = 110 \\ x = 110 \div 5 \\ = 22[/tex]
find the missing side lenght of the triangle below
Answer:
12
Step-by-step explanation:
5^2 + x^2 = 13^2
x = 12
Answer:
12
Step-by-step explanation:
Use Pythagorean theorem
[tex]a^2 +b^2 =c^2[/tex]
c= always hypotenuse/ longest side/ side across from right angle = 13
a= 5
[tex]5^2+b^2=13^2[/tex]
[tex]25+b^2=169[/tex]
Subtract 25 from 169
[tex]b^2= 144[/tex]
Square root both sides
b= 12
--------
it's also a special triangle known as a 5, 12, 13 triangle
............................
Answer:
Thaey are proportional
Step-by-step explanation:
help help help help help
A=√18-√8+√50
Write A in the form m√2 where m is an integer
Answer:
6√2
Step-by-step explanation:
A=3√2-2√2+5√2
A=6√2
Answer:
6√2
Step-by-step explanation:
A=√18-√8+√50 = √9√2 - √4√2 + √2√25, or A = (√2)(3 - 2 + 5) = 6√2
Which of these is an example of due process?
a search without good reason
a prejudiced jury
a cruel punishment
a fair trial
Answer:
A fair trial.
Answer:
Step-by-step explanation: a search without good reason
Which is a number that can be written as a fraction in the form ?
Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number.
Hope this helps!
1.-28 -20 help me plsss
If you mea. 1 . -28 - 20 then the answer is going to be
[tex]1. - 48[/tex]
but if you mean -28 -20 the the answer is going to be
[tex] - 48[/tex]
Ana spends 0.45 of her homework time reading. What is 0.45 as a percent? Explain.
Answer:
45%
Step-by-step explanation:
What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.
Answer:
8 is the height
Step-by-step explanation:
please mark this answer as brainlest
if a x b = a/b - 1, then 7 x 28
Answer:
Do you have answer choices. guess
Step-by-step explanation:
Find x. PQR = MNR ...............
Answer:
x = 55
Step-by-step explanation:
<QRP = <NRM because of vertical angles
To find <NRM:
x + 35 + 90 = 180
x + 125 = 180
x = 55
<NRM = 55
<QRP or x = 55
Divide.
389.5÷104
plz i need help
Answer:
The answer is 3.74519230769
Reese is selling lemonade at the parade. He gets to keep 50% of the money he collects. A large lemonade is
$5.00 and a small lemonade is $2.00.
The expression represents 50%
of the money he collects
.0.50(5l + 2s)
Use the Distributive Property to expand the expression.
Answer:
.5(5I)+.5(2s)
Step-by-step explanation:
find the unit price to the nearest tenth of one cent. 12-ounce can of cola for 60 cents
Answer:
1 ounce is 0.05
Step-by-step explanation:
HELLO!! I NEED HELP! Please show full Solutions. I will mark brainliest for the best answer. Thank you and god bless.
The cost of renting a car is represented by C=8.5h+25.5, where C is the cost in dollars and h is the number of hours rented.
If Peter rents a car and pays a cost of $85, how many hours did he rent it for?