Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
-2x² = 4-3 (x + 1)
-2x² = 4-3x-3
-2x² = -3x -7
0 = 2x² -3x -7
We know that the degree of the equation is the highest power of x variable in the given equation.
In the equation 0 = 2x² -3x -7 the highest power of x variable in the given equation is 2.
Thus, the degree of the equation is 2.
Also in the equation 0 = 2x² -3x -7, the unknown variable is 'x'.
Let us determine the value 'x'
2x² -3x -7 = 0
Add 7 to both sides
[tex]2x^2-3x-7+7=0+7[/tex]
[tex]2x^2-3x=7[/tex]
Divide both sides by 2
[tex]\frac{2x^2-3x}{2}=\frac{7}{2}[/tex]
[tex]x^2-\frac{3x}{2}=\frac{7}{2}[/tex]
Add (-3/4)² to both sides
[tex]x^2-\frac{3x}{2}+\left(-\frac{3}{4}\right)^2=\frac{7}{2}+\left(-\frac{3}{4}\right)^2[/tex]
[tex]x^2-\frac{3x}{2}+\left(-\frac{3}{4}\right)^2=\frac{65}{16}[/tex]
[tex]\left(x-\frac{3}{4}\right)^2=\frac{65}{16}[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solving
[tex]x-\frac{3}{4}=\sqrt{\frac{65}{16}}[/tex]
[tex]x-\frac{3}{4}=\frac{\sqrt{65}}{\sqrt{16}}[/tex]
[tex]x-\frac{3}{4}=\frac{\sqrt{65}}{4}[/tex]
Add 3/4 to both sides
[tex]x-\frac{3}{4}+\frac{3}{4}=\frac{\sqrt{65}}{4}+\frac{3}{4}[/tex]
[tex]x=\frac{\sqrt{65}+3}{4}[/tex]
similarly solving
[tex]x-\frac{3}{4}=-\sqrt{\frac{65}{16}}[/tex]
[tex]x=\frac{-\sqrt{65}+3}{4}[/tex]
So the solution of the equation will have the values of x such as:
[tex]x=\frac{\sqrt{65}+3}{4},\:x=\frac{-\sqrt{65}+3}{4}[/tex]
Mr. Tieu spent $23 on apples, bananas, and oranges. He bought 10 more apples than oranges, and 6 fewer bananas than apples. How many of each kind of fruit did he purchase if one apple costs 70 cents, one apples costs 50 cents, and an orange costs 80 cents each?
Answer:
apples: 17
oranges: 11
bananas: 7
Step-by-step explanation:
hope this helps!
What is the parent function for f(x) = (x+7)^2?
Answer:
I think The parent function is the simplest form of the type of function given g(x)=x^2
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEE PLZ SHOW YOUR WORK SO I CAN GIVE YOU BRAINLIEST
Solve the inequality below.
Answer:
x<6 is the answerrrrr
Step-by-step explanation:
hope it helps give me brainliest
Write 0.369 as a percent.
If a car travels 400 km in 2 hours, how fast is it going? pleasee i need the answer asap
Answer:
124m/s
Step-by-step explanation:
Give three examples of ratios that are equivalent to 2:3
Answer:
12:18
8:12
4:6
are the correct answers
Answer:
4:6, 8:12, 6:9
Step-by-step explanation:
please i need help on this
Answer:
ur black lol
Step-by-step explanation:
being black is racist
What’s the slope of the line for each of these! Hurry I at testing!
Which expression is equivalent to the following?
(5×10−3)+(6×10−3)2.2×104
A.5 × 10-7
B.5 × 10-1
C.5 × 10-10
D.5 × 107
Answer:
1.32 * 10^2
Step-by-step explanation:
Given the expression;
(5×10−3)+(6×10−3)2.2×10^4
First we need to do the multiplication first;
= (5×10−3)+(13.2×10−3+4)
= (5×10−3)+(13.2×10^1)
= 0.005 + 132
= 132.005
= 1.32 * 10^2
Hence the equivalent expression is 1.32.0 * 10^2
can someone please help my ASAP
Domain: (-∞, ∞)
Range: (-∞,1]
Answer:
Domain = All Real Numbers
Range = y≤1
Step-by-step explanation:
Since parabolas are continuous, the domain is all real numbers. The range, or y value, is all real numbers less than or equal to 1 (y≤1), since 1 is the vertex.
Hope this helps :)
what is the percent change in the price of a gallon of gas, to the nearest whole percent?
Answer:
started out as 3,499 now its 3.079
Can I please get some help on question 8
I will give you brainliest
Answer:
A) 2.8 m
Step-by-step explanation:
The formula for the volume of a right rectangular prism is:
Volume = Length × breadth × height
We can just put in the values that we know to find the height.
110.1 = 7.8 × 5.1 × height
height = 110.1 ÷ 7.8 ÷ 5.1
height ≈ 2.8 (rounded to nearest tenth)
Thus, the answer is Option A.
Answer:
A) 2.8 m
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Volume of a Rectangular Prism: V = lwhStep-by-step explanation:
Step 1: Define
l = 7.8 m
w = 5.1 m
V = 110.1 m³
Step 2: Solve for h
Substitute [VRP]: 110.1 m³ = (7.8 m)(5.1 m)hMultiply: 110.1 m³ = (39.78 m²)hIsolate h: 2.76772 m = hRewrite: h = 2.76772 mRound: h ≈ 2.8 mWrite 81+72 as a proudect using gcf as one of the factors
Step-by-step explanation:
Since 81 = 9² and 72 = 9 * 8,
81 + 72 = 9(9 + 8) = 9 * 17.
An expression is defined as a set of numbers, variables, and mathematical operations. The expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression 81+72 as a product using GCF as one of the factors can be written as,
81+72
= 9(9+8)
Hence, the expression 81+72 as a product using GCF as one of the factors can be written as 9(9+8).
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ2
Given f(x) = 5x - 4, find the value of x if f(x) = 31
A. 7
B. 27/5
C. 151
D. -7
Identify the part of the algebraic expression that is a coefficient.
5b - k + 30
Answer:
5b is the coefficent.
A coefficent is an integer multiplied by a variable. 5 is being multiplied by b.
5(b)
at what point do the graphs of 9x - 2y = 30 and x + 2y = 10 intersect
Answer:
(4,3)
Step-by-step explanation:
What is the value of x in the equation 2.5 minus 0.25 x = negative 3
Answer:
-22
Step-by-step explanation:
Evaluate the expression when b= 113
Can someone please help me on this question
I will give brainliest
Answer:
A) 3 in
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Surface Area of a Sphere: SA = 4πr²Diameter: d = 2rStep-by-step explanation:
Step 1: Define
SA = 23 in²
Step 2: Find r
Substitute [SAS]: 23 in² = 4πr²Isolate r term: 23 in²/(4π) = r²Isolate r: √[23 in²/(4π)] = rRewrite: r = √[23 in²/(4π)]Evaluate: r = 1.35288 inStep 3: Find d
Substitute [D]: d = 2(1.35288 in)Multiply: d = 2.70576 inRound: d ≈ 3 inconvert to radical form (3) 2/3
Answer:
The radical form of 3 2/3 is
[tex] \sqrt[3]{3 {}^{2} } [/tex]
Lena and 3 of her friends bought just enough food to go on a 12- day camping trip. Pete and Jane surprised them by showing up at the start of the trip and asking to join, but they brought no food. By what percent would the time for the trip shorten for the trip if everyone ate their normal portions?
The number of people increased by 2.
This means as a ratio it is now 6/4 as many as originally planned.
6/4 can be reduced to 3/2.
The time and the number of people are inversely proportional, so the food would last 2/3 ( inverse is flipping the original ratio over) the original length of time.
This means the length of time the food lasts is reduced by 1/3, which is 33.3%
What does g=? Please helppp
how dose 3^x=10 and x^3=10 differ
Why do you need to use a different method in the two previous problems?
0.018 ÷ 0.02 pls help
Find the slope the line passes through (-1,7) and (5,-12)
Answer:
11/2
Step-by-step explanation:
Answer:
-19/6=-3.17
Step-by-step explanation:
hopefully this helps :)
Wer +266. A bag contains $3$ balls labeled $2, 4$ and $8$. A ball is to be picked, the value on the label is to be recorded and then the ball is to be returned to the bag. This will be done three times and then the values will be added together. What is the sum of all of the possible distinct sums?
Answer:
The sum of all the possible distinct sum is 128
Step-by-step explanation:
The number of balls in the bag = 3
The ball labels, (the numbers written on the balls) = 2, 4, and 8
The number of balls selected with replacement = 1
Therefore, we have have, the number of ways of selecting 1 ball from 3 = 3 ways
The distinct combination of the selected balls are;
2, 2, 2 with sum 2 + 2 + 2 = 6
2, 2, 4 with sum 2 + 2 + 4 = 8
2, 2, 8 with sum 2 + 2 + 8 = 12
2, 4, 4 with sum 2 + 4 + 4 = 10
2, 4, 8 with sum 2 + 4 + 8 = 14
2, 8, 8 with sum 2 + 8 + 8 = 18
4, 4, 4 with sum 4 + 4 + 4 = 12
4, 4, 8 with sum 4 + 4 + 8 = 16
8, 8, 4 with sum 8 + 8 + 4 = 20
8, 8. 8 with sum 8 + 8 + 8 = 24
The distinct sums are therefore;
6, 8, 12, 10, 14, 18, 16, 20, 24
The sum of the distinct sum is 6 + 8 + 12 + 10 + 14 + 18 + 16 + 20 + 24 = 128.
Answer: 128
Step-by-step explanation:
Any sum formed by a combination of the numbers 2, 4, 8 and must be divisible by 2. The smallest possible value of such a sum is equal to 3*2=6 , and the largest possible value of such a sum is equal to 3*8=24 . After testing, we find that
6 = 2+2+2, 8=4+2+2, 10=4+4+2
12 = 4+4+4, 14 = 8+4+2, 16 = 8+4+4
18 = 8+8+2, 20 = 8+8+4, 24 = 8+8+8
However, we cannot find a combination that will add to be 22: if two of the numbers are not 8, then the maximum possible sum is 4+4+8 = 16. Thus, two of the numbers picked must be 8, but then the third ball must have the number 6, which is not possible. Thus, the answer is the sum of the even numbers from 6 to 24 excluding 22, which is 128 .
ASAP
The primary system of measurement used by most countries in the world; the moden metric system of measurement;
abbreviated Sl are known as the _______
Answer:
International System of Units
Step-by-step explanation:
Answer:
international system of units
Step-by-step explanation:
If you have $22 right now and $40 in the bank what % is the part you have from you total %62.
Answer:
35% on you
Step-by-step explanation:
22/62
Answer:
35.48% or 35.5% rounded
Step-by-step explanation:
So, let me just list the givens:
- You have $22 right now
- You have $40 in the bank
- You have a total of $62.
This is what we need to find:
- What percent is 22 of 62?
In order to get the what percent 22 is of 62, we need to divide 22 by 62.
[tex]\frac{22}{62} = .3548[/tex]
To change this to a percent we would move the decimal 2 times to the right so it will look like this:
.3548 --> 35.48%
Therefore, 20 is 35.48% of the total
I hope this is what you were asking for, if not let me know.
- Kay :)
What is the equation of the line written in general form?
-3 x - y + 2 = 0
3 x + y - 2 = 0
3 x - y - 2 = 0
Answer:
I think its the second one :)
Answer:
B. 3 x + y - 2 = 0
Step-by-step explanation:
Hope this helped have an amazing day!
PLEASE HELPPP
Select from the drop-down menus to correctly complete each statement.
To find the absolute value of a number,
Choose: change the sign of the number OR find the number distance from the number zero on a number line.
The absolute value of a number is always
Choose: positive zero OR negitive
Answer:
Positive
Step-by-step explanation:
absolute value is how far away from 0 a number is, regardless of direction.
Answer:To find the absolute value of a number,
find the distance from the number to zero on a number line
. The absolute value of a number is always positive or zero
Step-by-step explanation:
funky mo
nkey