2x^(2)+12x+8
using completing square
Answer:
[tex] {2x}^{2} + 12x + 8 \\ = {x}^{2} + 6x + 4 \\ = {x}^{2} + 6x + {( \frac{6}{2}) }^{2} + 4 - {( \frac{6}{2} )}^{2} \\ = ( {x}^{2} + 6x + {3}^{2} ) + ( - 5) \\ = {(x + 3)}^{2} - 5[/tex]
i need help with this plseeee
Step-by-step explanation:
where is the question? i can help you
If JKLM is a rectangle, JL=2x+5, and MK=7x+40, find MK
Answer: 5
Step-by-step explanation:
JK = MK
2x + 5 = 7x - 40
2x - 7x = -40 -5
-5x= -45
x = 9
Replacing x with 9 in MK
7(9) - 40
45 - 40
5
Is w = 7 a solution to this equation?
28 = 4w
Answer:
yes
Step-by-step explanation:
4w=28
4(7)=28
28=28
2789\36 help me psss i have to take this test lie be so fl i like right nowww pls haelp me
Answer:
77.472222 etc
Step-by-step explanation:
PLEASE, I NEED HELP WITH THIS QUESTION!!!!
given three consecutive odd integers, their sum is two times the third number plus 11. what are the three numbers
Answer:
7 , 5 , 9
Step-by-step explanation:
(Find the value of): 2m x 2-m
How many times larger than 2 x 10-3 is 8 x 10?
Answer:
2 × 10 - 3 = 17
8 × 10 = 80
80 - 17
= 63
pls help me on this question
1) false
2) false
3) true
4) true
5) true
Answer:
1 false,2 false,3 true,4 true,5 true
help pls!!!
graph the following inequalities on the number line provided.
step 1: plot the endpoint on the number line. Hint: Remember to think about the endpoint as an open or a closed cricle.
step 2: shade line to match the direction of the inequality.
A x>-2 (the numberlines for all starts from -8 to +8, just tell me where to plot them)
B x<-2
C x<= -1
D x>=0
Answer:
A: open circle above -2 arrow going to the right until +8
B: Open circle above -2 arrow going to the left until -8
C: Closed circle above -1 arrow going to the left until -8
D: Closed circle above 0 arrow going to the right until +8
Step-by-step explanation:
PLS HELPPPP Given: 4
34. You deposit $2,000 in an account that earns simple interest at a rate of 3% per year. How much interest will you
have earned after 3 years?
Answer:
Principal=$2000
Rate=3%
Time=3 years
Interest=P*T*R/100
=$2000*3*3/100
=$18000/100
=$180
Step-by-step explanation:
Judiyah is the proud new owner of a chair making business. She makes custom wood chairs. She sells her custom chairs for
$150. The cost of rent and the expensive saws and equipment she bought add up to about $50 a chair. The wood she uses is
standard wood and the materials to make one chair cost about $30. She pays one worker to help her move the chairs into people's
home. Everytime she sells a chair, she pays this worker
$10 for the hour of work to transport the homemade chair.
What is judiyah’s profit ?
Answer:
$60
Step-by-step explanation:
Profit = revenue - total cost
cost is total expenses incurred in running the business
total cost = cost of rent and the expensive saws and equipment + cost of wood + amount paid to worker
50 + 30 + 10 = 90
revenue is the amount earned from selling the chairs. it is equal to 150
Profit = 150 - 90 = 60
Julian went shopping for a new pair of sneakers. Sales tax where he lives is 5.75%. If the price of the pair of sneakers is pp dollars and cents, which expression represents the total price plus tax?
The expression that represents the total price plus tax that Julian paid during shopping is 1.0575pp
How to write the expression of the total price Julian paid
The question is a percentage problem, percentage deals with a fraction hundred and used as follows
5.75%
= 5.75 percent
= 5.75 / 100
= 0.0575
The factor 0.0575 of the price (pp dollars and cents) gives the total price paid
when the price paid is pp dollars and cents
= 0.0575 * pp + pp
= 1.0575pp
The total price paid is 1.0575pp
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Can you help me with this
Write a proportion to find how many points x a student needs to score a on a test worth 50 points
to get a test score of 40%.
Please Help
A student needs to receive 20 out of a possible 50 points on the test in order to receive a passing grade of 40%.
what is proportion ?The term "proportionate" refers to relationships that always have the same ratio. For instance, the average number of apples per tree influences how many trees there are in an orchard and how many fruits there are in a harvest of apples. A linear relationship between two numbers or variables is referred to in mathematics as being proportionate. In the same way as the first quantity doubles, so does the other. The other decreases as well when one of the variables is reduced to 1/100th of its previous value. When two quantities are proportional, it means that when one rises, the other rises as well and that the ratio between the two quantities is constant at all values. As an example, consider a circle's diameter and circumference.
given
test score to 50 points
test score of 40 %
= 50/100 * 40
= 20
A student needs to receive 20 out of a possible 50 points on the test in order to receive a passing grade of 40%.
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5. The population of Haleyville, Alabama was 4,403 in 2010. Haleyville has been experiencing a population decline of 0.6% per year since 2000. What will be the projected population of Haleyville in 2020?
The projected population of Haleyville in 2020 is 4139.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Population in 2010 = 4403
The decline in population per year = 0.06%
Now,
The population in 2020.
There are 10 years between 2010 and 2020.
The function used to find the population after x years.
= 4403 x [tex]0.994^x[/tex]
Now,
x = 10
= 4403 x [tex]0.994^{10}[/tex]
= 4403 x 0.94
= 4139
Thus,
The population in 2020 is 4139.
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For a given recipe, 9 cups of flour are mixed with 18 cups of sugar. How many cups of sugar should be used if 15 cups of flour are used?
Answer:
7.5 cups of sugar
Step-by-step explanation:
You should use proportions to find the answer.
9/18 = 15/x
Cross multiply:
9*15 = 135
135/18 = 7.5
Because half of 18 is 9, you just need to find half of 15, which is 7.5.
A standard deck of 52 cards contains four suits: clubs, spades, hearts, and diamonds. Each deck contains an equal number of cards in each suit. Rochelle chooses a card from the deck, records the suit, and replaces the card. Her results are shown in the table. Cards Suit Observed Frequency Clubs 29 Spades 13 Hearts 15 Diamonds 23 How does the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart
The theoretical likelihood of selecting a heart is 1/16 times higher than the actual likelihood.
In the given question, we have to find the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart.
We are aware that a deck's total number of cards= 52
Total number of hearts = 13
Then the theoretical probability of getting a heart = Number of cards have hearts/Total cards
Then the theoretical probability of getting a heart = 13/52
Then the theoretical probability of getting a heart = 1/4
Then the theoretical probability of getting a heart = 0.25
Cards chosen by Rochelle : Clubs 29, Spades 13, Hearts 15, Diamonds 23
Total cards = 80
The experimental likelihood of experiencing a heart attack = Number of cards have hearts/Total cards
The experimental likelihood of experiencing a heart attack = 15/80
The experimental likelihood of experiencing a heart attack = 3/16
The experimental likelihood of experiencing a heart attack = 0.185
Since, 0.25 > 0.1875 so, Theoretical probability > Experimental probability
and,
Theoretical probability = 0.25-0.1875
Theoretical probability = 0.0625
Theoretical probability = 625/10000
Theoretical probability = 1/16
Hence, the theoretical likelihood of selecting a heart is 1/16 times higher than the actual likelihood.
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Tierra is making steps for a doll house. She has cut a piece of wood that measures 1. 5 centimeters wide and 30 centimeters long. Each step will measure 15 millimeters by 4 millimeters. She will make 21 steps for her doll house. Which are the dimensions of the wood that remains after Tierra finishes making the 21 steps?
The dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm
In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape.
A square has sides of equal dimensions.
A rectangle has length and width as its dimensions that define the area of a rectangle.
Also, dimension is used widely to term the figure as one-dimensional, two-dimensional or three-dimensional.
Wood = 1.5 cm by 30 cm
Each cut = .15 mm by 4 mm
Steps = 21
The remaining dimension is calculated as:
Remaining = 1.5 cm - 21 * .15 mm by 30 cm - 21 * 4 mm
Express mm as cm
Remaining = 1.5 cm - 21 * .015 cm by 30 cm - 21 * 0.4 cm
Evaluate the difference
Remaining = 1.185 cm by 21.6 cm
Hence, the dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm
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Find the lengths of the diagonals of rectangle WXYZ.
WY = 14x + 10
XZ = 11x + 22
The length of each diagonal is
units.
The length of each diagonal is √(196x^2 + 816x + 324) units.
What is the formula for diagonal length?The diagonal of a rectangle can be estimated using the hypotenuse formula, such as using the Pythagorean theorem calculator.
WX^2 = WY^2 + XZ^2
Given that WY = 14x + 10 and XZ = 11x + 22, we can substitute those values in the equation:
WX^2 = (14x + 10)^2 + (11x + 22)^2
WX^2 = 196x^2 + 816x + 324
WX = √(196x^2 + 816x + 324)
The same goes for the other diagonal, WZ.
WZ = √(196x^2 + 816x + 324)
So, the length of each diagonal is √(196x^2 + 816x + 324) units.
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HELP its due today Please help!!!!!!!!!!!
In the following set of side lengths of a right angle triangle, which number would represent the length of the hypotenuse?? 3 cm, 4 cm, 5 cm
Answer:
5cm
Step-by-step explanation:
The hypotenuse is the longest side of the triangle
whats the domain and range?
Answer:
Dom = R - {-4}
Range = R - {0}
Step-by-step explanation:
How many terms are there in the expression 2p3 3p2 4p 7 *?
Answer: 4
Explanation:
In Algebra a term is either a single number or variable, or numbers and variables multiplied together.
Terms are separated by + or − signs, or sometimes by divide.
TOLL ROAD Mr. Espinoza randomly chooses one of five toll booths when
entering a toll road when driving to work. What is the probability he will
select the middle toll booth on Monday and Tuesday?
Answer: Assuming that the selection of the toll booth is a random and independent event, the probability that Mr. Espinoza chooses the middle toll booth on Monday is 1/5 (or 20%), since there are five total toll booths and the middle booth is one of those options. Similarly, the probability that he chooses the middle booth on Tuesday is also 1/5 (or 20%).
To find the probability that he chooses the middle booth on Monday and Tuesday, we can multiply the probabilities of each event.
Probability of selecting middle booth on Monday AND selecting middle booth on Tuesday = (1/5) * (1/5) = 1/25 = 0.04 or 4%
So, Mr. Espinoza will select the middle toll booth on Monday and Tuesday with a probability of 4%. This means that the chance that both events will happen is low and quite rare, but not impossible.
Step-by-step explanation:
A circle has a circumference of 8. It has an arc of length 32/5.
What is the central angle of the arc, in degrees?
Answer:
288°
Step-by-step explanation:
[tex]l = \frac{ \theta}{360 \degree} \times c \\ \\ where \\ l = length \: of \: the \: arc \\ \theta \: = measure \: of \: the \: central \: angle \\ c = circumference \: of \: the \: circle \\ \\ \implies \: \frac{32}{5} = \frac{ \theta}{360 \degree} \times 8 \\ \\ 40 \theta = 32 \times 360 \degree \\ \\ \theta = \frac{ 32 \times 360 \degree}{40} \\ \\ \theta =32 \times 9 \degree\\ \\ \theta =288 \degree [/tex]
AB is a straight line. Work out the size of angle k
Answer:
35°
Step-by-step explanation:
180 degrees is the total sum of the angles in a triangle.
180° - 130° = 50°
180° - 85° = 95°
50° + 95° = 145°
180° - 145° = 35°
In deer, the gene $N$ is for normal coloring and the gene $a$ is for no coloring, or albino. Any gene combination with an $N$ results in normal coloring. The Punnett square shows the possible gene combinations of an offspring and the resulting colors from parents that both have the gene combination $Na$.
a. What percent of the possible gene combinations result in albino coloring?
$\%$
b. Show how you could use a polynomial to model the possible gene combinations of the offspring.
The gene combinations could be modeled by the polynomial
Using Punnett square we know that 25%of the possible gene combinations result in albino coloring.
What is Punnett square?The genotypes of a specific cross or breeding experiment are predicted using the Punnett square, a square diagram.
It bears Reginald C. Punnett's name, who developed the method in 1905.
Biologists use the figure to calculate the likelihood that a child will have a specific genotype.
So, there is only one gene combination that could result in albinism.
4 different gene pairings are possible.
The proportion of gene combinations that might result in albinism.
Coloring is, therefore:
Percentage = 1/4 * 100 = 25%
Therefore, using Punnett square we know that 25%of the possible gene combinations result in albino coloring.
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Correct question:
Genetics In deer, the gene N is for normal coloring and the gene a is for albino. Any gene combination with an N results in normal coloring. The Punnett square shows the possible gene combinations of an offspring and the resulting colors when both parents have the gene combination Na.
What percent of the possible gene combinations result in albino coloring?
If star a is closer to us than star b, then star a's stellar parallax is __________.
O Larger than that of star B
O Larger than that of star A
O Smaller than that of star B
O Smaller than that of star A
If star A is closer to us than star B, then Star A's parallax angle is: Larger than that of Star B.
Hence, option (A) is correct choice.
The parallax of a star at a distance of 10 parsecs would be 0.1′′ since parallax is inversely proportional to distance. The parallax of Proxima Centauri, a star in the triple system of Alpha Centauri, is 0.76813′′, indicating that it is 4.24 light-years away from Earth at a distance of 1/0.76813, or 1.302 parsecs.
The apparent shift in an object's location caused by a change in the observer position is known as parallax. This apparent shift is measured (in arc seconds) is reversed to provide the distance from the background stars (in parsecs).
The definition of an object's absolute magnitude is the apparent magnitude the object would have if it were observed at a distance of precisely 10 parsecs (32.6 light-years), without light extinction.
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