Answer:
see explanation
Step-by-step explanation:
Using the method of completing the square.
Given
f(x) = x² + 4x - 6
add/subtract ( half the coefficient of the x- term )² to x² + 4x
f(x) = x² + 2(2)x 6 + 4 - 4 - 6
= (x + 2)² - 10
with m = 2 and n = - 10
To solve the equation let f(x) = 0 , that is
(x + 2)² - 10 = 0 ( add 10 to both sides )
(x + 2)² = 10 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{10}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{10}[/tex]
The positive solution is
x = - 2+ [tex]\sqrt{10}[/tex] ≈ 1.16 ( to 2 dec. places )
company a operates stores under multiple banners in 34 states in the us a. how many states do not have a store operated by company a? b. what fraction of states do not have a store operated by company a?
Answers: 16 states and [tex]\frac{16}{50}[/tex]
Explanation:
Question A involves finding the number of states that do not have a store operated by company A. This can be easily found by subtracting the number of states where the company operates stores, which is 34 states, from the total of states, which is 50.
50 - 34 = 16
This means 16 states do not have a store operated by this company
Question B involves writing a fraction to represent the number of states that do not have a store operated by the company. A fraction includes a numerator (top number) that represents the parts selected (number of states without a store: 16), and a denominator, which is the total of parts (total of states: 50). Thus, the fraction is [tex]\frac{16}{50}[/tex]. Moreover, this can be simplified as [tex]\frac{8}{25}[/tex] by dividing both numbers by the seame number (2).
What vector points from the origin to the point (3, -2, 3)?
PLEASE PLEASE HELP
Answer:
The vector [tex]\vec v = (3,-2,3)[/tex] points from the origin to the point (3,-2,-3).
Step-by-step explanation:
Geometrically speaking, a vector is the change between a final point and a initial point. Since vector are located in space, the origin is represented by point (0, 0, 0) That is:
[tex]\vec v = (3,-2,3)-(0,0,0)[/tex]
[tex]\vec v = (3-0,-2-0,3-0)[/tex]
[tex]\vec v = (3,-2,3)[/tex]
The vector [tex]\vec v = (3,-2,3)[/tex] points from the origin to the point (3,-2,-3).
To solve the problem we must know about Vector points.
PointA point is a position in space. It is represented by a dot.
VectorA vector is something that has both magnitude and direction but no fixed position in space. it is represented by an arrow pointing in a particular direction.
Vector pointsWhen we draw vectors, we attach them to specific points, but we should remember that the vector has no fixed position. These points are known as vector points.
The vector will point toward the point (3, -2, 3) in space.
Given to usvector points = (3, -2, 3)Origin, (0, 0, 0)SolutionAs we know a vector has no fixed position in space, but it points towards its final condition starting from the initial condition. Therefore, its tail is towards the initial condition while its arrowhead is towards the final condition. Thus,
Vector calculationFinal condition - Initial Condition
= (3, -2, 3) - (0, 0, 0)
= (3-0, -2-0, 3-0)
= (3, -2, 3)
Hence, the vector will point toward the point (3, -2, 3) in space.
Learn more about Vector Points:
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Situation 1: Two students, Theo and Lance, each have some chocolates. They know that
they have the same number of chocolates. Theo has four full bags of chocolates and five
loose chocolates. Lance has two full bags of chocolates and twenty-nine loose
chocolates.
Determine the number of chocolates in a bag. Determine the number of chocolates each
child has.
They each have two chocolates so those numbers of chocolates are the same.
Not counting the tubs, Arthur has one bag of chocolates and 25 loose chocolates; Oliver has two bags and 7 loose. If they both have the same total number of chocolates, then the difference in the number of loose chocolates they have (25-7=18) must be the number of chocolates in a bag.
There is no information given, in the problem as you show it, that allows us to determine the number of chocolates in a tub.
Answers: chocolates in a bag: 18. chocolates in a tub: unknown.
can you help me find this ans
Answer:
Step-by-step explanation:
50 = 19 + 8 + x
50 - 27 = x
x = 23
Number of students = 50
Apples = 19
Bananas = 8
Other fruits = 23
Percentage of students who chose apples =
19/50 × 100 =
38%
Percentage of students who chose bananas =
8/50 × 100 =
16%
Students that didn't chose apples =
50 - 8 = 42
42/50 × 100 =
84%
Students that didn't chose apples or bananas = 23
23/50 × 100 =
46%
Sean set a lure while playing Pokemon Go. He caught 12 Pokemon in 30 minutes. On
average, how many Pokemon did he catch each minute?
HELPPPPPP
Answer:
0.4 pokemons per min
Step-by-step explanation:
12/30=0.4
Answer:
i thought u played pokemon go
Step-by-step explanation:
A box has dimensions of 17 inches long, 1.3 feet wide, and 8 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h. Please show how you got the answer. 2121.6 cubic inches (in3) 176.8 cubic inches (in3) 14.7 cubic inches (in3) 1.2 cubic inches (in3)
Answer:
176.8
Step-by-step explanation:
If you multiply all three numbers you get 176.8
ΔABC ~ ΔDEF. What is the length DF?
ΔABC ~ ΔDEF
that means the ratio of DF to AC = the ratio of DE to AB
[tex]x:3.5 \\6:4[/tex]
cross multiply
[tex]4x=6(3.5)\\4x=21\\x=\frac{21}{4}\\ x= 5.25[/tex]
so DF = 5.25 cm
please help me i’m struggling over her
Answer:
Step-by-step explanation:
Its the last graph.
The blue graph is the function y = |x|.
The red one is the graph of y = 5|x|.
This is a vertical stretch of factor 5.
Rashad works at an appliance store. He earns 10
percent of the total amount he sells. The table shows
the amount of sales he made in one day.
Answer: what is the total amount of Rashad's sales? 1,380
How much does Rashad earn from his sales? 138
Edg.
Step-by-step explanation:
Answer:
1,380 , 138
Step-by-step explanation:
Edge 2021
How many combinations are possible on a 4 number computer cable lock. each space can be any number 0-9 . The only exception is that all four numbers cannot be the same. How many combinations are possible ?
Answer:
5040
Step-by-step explanation:
Given
Digits: 0 - 9
Required
Number of combinations of 4 digits where no repetition is allowed
First, we need to count the number of digits
[tex]Number = 10[/tex]
Then, we perform the following analysis.
The first space can contain any of the 10 digits;
The second space can contain any of the remaining 9 digits;
The third space can contain any of the remaining 8 digits;
The fourth space can contain any of the 7 digits;
Hence; the umber of combination is
[tex]Number = 10 * 9 * 8 * 7[/tex]
[tex]Number = 5040[/tex]
Hence, there are 5040 possible combinations
A 3-gallon bottle of bleach costs $14.88. What is the price per quart?
Answer:
1.24
Step-by-step explanation:
there are 4 quarts to a gallon. you have 3 gallons. so you have 12 quarts. 14.88 divided by 12 is 1.24! hope this helps! :)
need asap! solve for x
Answer:
It's 15
Step-by-step explanation:
(5x+12) (6x+3)=180
5x+6x+12+3=180
11x+15=180
11x=180-15
11x=165
x=165/11
x=15
hope this helps :)
What is the probability of rolling a 6 sided die and it lands on a 5 or 6
Answer:
1/3 or 33.3%
Step-by-step explanation:
You can roll a 1 2 3 4 5 or 6
If you want a 5 or 6 there is a 2 in 6 chance which is the same as 1 in 3.
1/3 = .333333 which can be expressed at 33.3%
Find the values for k so that the intersection of x = 2k and 3x + 2y = 12 lies in the first quadrant. PLEASSSSEEEE
Answer:
0< k < 2
Step-by-step explanation:
x = 2k
3x + 2y = 12
Substitute the first equation into the second equation
3(2k) +2y = 12
6k+2y = 12
Subtract 6k from each side
2y = 12 -6k
Divide by 2
y = 6 - 3k
For this to be in the first quadrant y > 0
6 - 3k > 0
6 > 3k
Divide by 3
2 > k
The lower limit is when it reaches the axis or when k=0
0 <k <2
Checking for x
x = 2k
If 0<k <2 then it will be in the first quadrant
Answer:
k = any value between 0 and 2
Step-by-step explanation:
We can start by considering the graph of 3x + 2y = 12. If you convert this line into point - slope form it will have a negative slope, and hence will extend infinitely in the negative direction. Therefore if we calculate the x - intercept, k will be bound by 0 to the x - intercept if their intersection lies in the first quadrant.
3x + 2y = 12,
3x + 2(0) = 12,
3x = 12,
x = 4 - this is the x - intercept
As x = 4 is the x - intercept, k can be any value between 0 and 4, and will lie in the first quadrant. But remember that we have the equation " x = 2k. " k will only be between 0 and 4 is the equation is " x = k. "
- Therefore k will instead be any positive value between 0 and 2.
-3 squared + (-4 + 7) (2)
Steps:
Add
−9 and 6.
Answer:
−3
Hope this helps (●'◡'●)
Write 7.96 as a mixed number in simplest form
Answer:
199/25
Step-by-step explanation:
Answer:
7 24/25
Step-by-step explanation:
The whole number, 7, does not change. The decimal becomes 96/100 which simplifies to 24/25 when you divide by 4.
Hope this helps :-)
A radio station is having a T-shirt design contest. The first prize is four times the second prize. The second price is four times the third prize. The third price is $50. How much is the first prize?
Does anybody understand this?
Algebraic Proofs CC
Fill in the Reason for #1
Statements
1. 5(x + 3) = 2x + 3
Reasons
A reflection will _________ change the size of a figure. * A Always B Sometimes C Never
Answer:
never
Step-by-step explanation:
Reflections do not change the size or shape, just the location of the figure
Read each sentence. Then, use the drop-down menus to identify the types of figurative language used. I must be popular because my phone is blowing up. Her smile lit up my day. The dog continued to bark, speaking with authority. He wept like a faucet.
Answer:
I must be popular because my phone is blowing up.
✔ hyperbole
Her smile lit up my day.
✔ metaphor
The dog continued to bark, speaking with authority.
✔ personification
He wept like a faucet.
✔ simile
Step-by-step explanation:
Answer:
I must be popular because my phone is blowing up. hyperbole
Her smile lit up my day. metaphor
The dog continued to bark, speaking with authority. personification
He wept like a faucet. simile
Step-by-step explanation:
Can someone answer these questions please I been stuck on this all day
Answer: Carpet required: 35 square yards. Cost: $700.
Wallpaper required 185 square feet, 4.2 double rolls needed, but you must buy full rolls. So 5 rolls will cost $125.
Step-by-step explanation:
Multiply the dimensions of the floor to get total square footage. Divide by 9 to convert to square yards.
314.5 ÷ 9 = 34.944. Round to 35 square yards. Multiply by $20 to get the cost of the carpet.
Multiply the dimensions of the wall to get total square footage.
Divide by 44 to get the number of rolls needed. Partial rolls not allowed. So it's 5 rolls times the $25 per "double roll." $125 is the cost.
Is this answer correct?
Answer:
No, correct answer is D
Step-by-step explanation:
x² = 81/144
the squared sign crosses over and becomes root
x = √81/144
x = 9/12
x = 3/4
D
The boiling point of water is 212°F. The boiling point of helium is –452°F. How would you compare the temperatures using an inequality?
Answer:
-452°F < 212°F
Step-by-step explanation:
How many places after the decimal point does the equivalent decimal have if: a. the denominator of the fraction is 10 b. the denominator of the fraction is 100? Look at your answers to problem 4. Explain the reasoning you used to find the answers.
Answer:I think A is the answer sorry if I’m wrong
Step-by-step explanation:
The equivalent decimal have 1 places right after the decimal point, if
the denominator of the fraction is 10.
And, The equivalent decimal have 2 places right after the decimal point, if
the denominator of the fraction is 100.
Here,
We have to determine places after the decimal point does the equivalent decimal have,
The denominator of the fraction is 10 and the denominator of the fraction is 100.
What is Decimal representation?
A decimal number is a number where the integer part is separated from the fractional part with the help of a decimal point.
Now,
Let the number 2 in numerator,
Denominator = 10
Then, Fraction = 2/10 = 0.2
Hence, The equivalent decimal have 1 places right after the decimal point.
Let the number 3 in numerator,
Denominator = 100
Then, Fraction = 3/100 = 0.03
Hence, The equivalent decimal have 2 places right after the decimal point.
So, The equivalent decimal have 1 places right after the decimal point, if
the denominator of the fraction is 10.
And, The equivalent decimal have 2 places right after the decimal point, if
the denominator of the fraction is 100.
Learn more about the Decimal representation visit:
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In the space below, identify the rate of change using the statement: The rate of change is
for each
2
Pizzas Ordered
2
3
4
Total Cost
$19.98
$29.97
$39.96
Answer:57465
Step-by-step explanation:
The radius of the circle has a length of units.
Answer: 10 units
Step-by-step explanation:
Answer: 10
Step-by-step explanation:
Edg 2021
Factor the expressions.
Step by step please.
x^(2)+34x+120
Answer:
(x+4)(x+30)
Step-by-step explanation:
when the equation is x^2+bx+c=0
-b is the sum of the zeroes and c the product
so -34=-30-4 is the sum of the zeroes
120=30*4 is the product
so x^2+34x+120=x^2+30x+4x+120=x(x+30)+4(x+30)=(x+4)(x+30)
Answer:
(x+4)(x+30)
Step-by-step explanation:
sorry i am late...
why
[tex] \frac{1}{ \sqrt{3 } - 1} \times \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1} = \frac{1 + \sqrt{3} }{2} [/tex]
why not 1+✓3 ?
Answer:
Hey there!
When multiplying fractions, we multiply the numerator by the numerator, and denominator by denominator.
1 x [tex]\sqrt{3}+1[/tex] = [tex]\sqrt{3}+1[/tex]
[tex]\sqrt{3} -1 (\sqrt{3} +1)[/tex] = 2
Thus, the answer is ([tex]\sqrt{3}+1[/tex])/2
Let me know if this helps :)
What is the answer ?
third picture shows cube root of 64=4
Click on the graphic to find the correct line of reflection.
Answer:
that one is already correct