Answer:
E. x = 3
Step-by-step explanation:
The equation can be factored by considering the factors of the product of the first and last coefficients. Those factors must have a sum equal to the middle coefficient.
(2)(-3) = -6 = (-6)(1) = (-3)(2) = ... other factors with positive sums
The sums of the factor pairs shown are -5 and -1. We're interested in the factor pair {-6, 1}. Replacing the middle term coefficient with the sum of these, we can write the equation in a way that lets us factor pairs of terms.
2x² -6x +x -3 = 0 . . . . . . . . replace -5x with -6x+1x
2x(x -3) +1(x -3) = 0 . . . . . . factor pairs of terms
(2x +1)(x -3) = 0 . . . . . . . . . complete the factoring
Solutions are the values of x that make these factors zero:
2x +1 = 0 ⇒ x = -1/2
x -3 = 0 ⇒ x = 3
_____
Additional comment
A number of methods are used to find the factors of a quadratic with a leading coefficient other than 1. When the coefficients are small integers, this is one of the more straightforward methods: actually listing and examining the pairs of factors of "ac." If "ac" has a large number of divisors, other methods may be more practical.
Answer:
x = 3 AND x = -1/2
Step-by-step explanation:
its right
5. Solve for x in the parallelogram below.
Answer:
11
Step-by-step explanation:
42 is also the degree for x so 42+42=84
there are 360 total degrees in a parallelogram
360-84=276
276 is divided by 2 as y and w are the same degrees
138 + 5 to find x and that is 143
143/13 is 11
8. an airplane is approaching seattle international airport. the pilot begins a 13
degree angle of descent starting from a height of 500 feet. how far from the airport
is the plane? round to the nearest tenth. (2 points)
work:
10° angle of descent
airport
the plane is away from the airport.
Answer:
x=2164.50
Step-by-step explanation:
tan13=500/x
x=500/tan13
x=500/0.231
x=2164.50
I think this is correct but im not to sure
A pole that is 3.2 meters tall casts a shadow that is 1.18 meters long. At the same time, a nearby tower casts a shadow that is 42.25 meters long. How tall is the tower? Round answer to the nearest tenth.
Answer:
114.6 meters tall
Step-by-step explanation:
If you draw out the poles and shadows, you can connect the end of the shadow to the top of the pole. This creates two traingles that are proportional. This allows you to set up the proportion:
3.2 m / 1.18 m = x / 42.25 m
You can then cross multiple and get:
1.18x = (3.2)(42.25)
1.18x = 135.2
You can then divide and solve for x.
x = 114.6 m
X is a variable for the height of the taller pole, so you can simply add units and thats the height.
If the walls of a square room require 480 ft^2 of paint and the floor to ceiling height is 10
ft, what are the dimensions of the room?
Answer:
48 by 10 because
[tex]480\div 10 = 48[/tex]
therefore the wall dimensions are 48 by 10
Write (8 x 10) + (6 x 1) +(2 x 0.1) + (7 x 0.001) with words.
Answer:
Eight times ten plus six times one plus two times one-tenth plus seven times one-thousandth.
Step-by-step explanation:
(8 x 10) = eight times ten
(6 x 1) = six times one
(2 x 0.1) = two times one-tenth
(7 x 0.001) = seven times one-thousandth
I am not always the best with the equations to words stuff, so please comment if I am wrong!
Find the missing side lengths. ( BC and DE)
Answer:
BC= 24, DE= 15
Step-by-step explanation:
You can use the Pythagroean theorem which is a^2+b^2=c^2.
So AC is the hypotenuse, so a^2+10^2=26^2=a^2+100=676. Subtract 100, a^2=576. Then take the square root of 576 which is 24.
EC is the hypothenuse for triangle EDC, so a^2+36^2=39^2, a^2+1296=1521. Then subtract to 1296 to get 225. Then take the square root which is 15.
help me!
[tex]\sqrt{84} +\sqrt{84} =?[/tex]
Answer:
18.4
Step-by-step explanation:
Well the square root of 84 isn't an exact answer.
But when rounded it equals to approximately 9.16 or rounded even more 9.2 at most.
So 9.2 + 9.2 = 18.4.
So the answer is ≈ 18.4
Have a good day or night wherever you are. May GOD Bless You!!
Answer:
=> 18.3303028 or 18.4
Step-by-step explanation:
=> √84 +√84 {√84 = 9.16515139 or 9.2}
=> 18.3303028 or 18.4
what is the circumference of a circle with radius 1 ?
Answer: 6.28
Step-by-step explanation: Using the formula 2×pie×radius
Circumference=2×3.14×1
=6.28
Answer:
Step-by-step explanation:
C = circumference
r = radius
d = diameter
C = 2[tex]\pi[/tex]r or C = [tex]\pi[/tex]d
I will be using the second formula since it is what I prefer but please note that when using the first the only thing being multiplied by two is the radius, not pi.
d = 2r
d = 2 * 1
d = 2
C = 2[tex]\pi[/tex]
i dont understanddd??/
Answer:
208 m^2
Step-by-step explanation:
Add the area of all of the rectangles and/or squares
4x6*2 + 4x8 *2 + 6x8 * 2
total = 208 m^2
A piece of gold has a mass of 14.12 grams and a volume of 4 cubic centimeters. What is the density of the gold?
Answer:
3.53 g/cm^3.
Step-by-step explanation:
Density = mass/volume
= 14.12/ 4
= 3.53 g/cm^3.
Which of the following services will be provided by a full-service broker but not by a discount broker? i. research of potential investment opportunities ii. purchase and sale of stock at your request iii. recommendation of investments a. i and iii b. ii only c. iii only d. i, ii, and iii
The services will be provided by a full-service broker but not by a discount broker will be the research of potential investment opportunities, purchase, and sale of stock at your request.
What is a broker?A broker is a person or company who works as a go-between for an investor and a securities exchange. Securities exchanges only accept orders from people or businesses that are members of the exchange.
The services of a full-service broker include;
1. Look into investment alternatives that may be advantageous.
2. Can trade in stock at a client's request.
The services will be provided by a full-service broker but not by a discount broker will be the research of potential investment opportunities, purchase, and sale of stock at your request.
Hence option a ( i and iii ) are correct.
To learn more about brokers refer to the link;
https://brainly.com/question/14094023
Answer:
A
Step-by-step explanation:
100% on edge
help help help please thanks
Answer:
1/15 gal / mile if your numbers are correct
Step-by-step explanation:
1/5 / 15/4 = 1/5 * 4 / 15 = 4/60 = 1/15
What is the factored form of 8x2 12x? 4(4x2 8x) 4x(2x 3) 8x(x 4) 8x(x2 4)
A rock was thrown from a cliff. Its path can be modelled by the relation h=-0.5d^2 + d + 12, where h is the height of the rock above the ground and d is the horizontal distance, both in metres. a) How high is the cliff? b) Write the relation in intercept form. c) Determine the zeros of the relation. d) At what horizontal distance did the
rock hit the ground? e) Graph the relation.
a) h = 12 ft, b) h = - 0.5 · (d - 6) · (d + 4), c) d₁ = 6, d₂ = -4, d) 6 ft, e) Please see the image attached below for further details.
How to analyze a second order polynomial related to the trajectory of the rock under parabolical motion
An object is under a parabolical motion, when it has a horizontal motion at constant velocity and a vertical motion uniformly accelerated by gravity and effects from air viscosity are neglected. In this case, the trajectory is described by second order polynomial (quadratic function).
a) The height of the cliff is found by evaluating the function at d = 0:
h = - 0.5 · 0² + 0 + 12
h = 12 ft
The initial height of the cliff is 12 feet. [tex]\blacksquare[/tex]
b) The intercept form of the quadratic function is found by algebraic procedures:
h = - 0.5 · d² + d + 12
h = - 0.5 · (d² - 2 · d - 24)
h = - 0.5 · (d - 6) · (d + 4)
The relation in intercept form is h = - 0.5 · (d - 6) · (d + 4). [tex]\blacksquare[/tex]
c) The zeros of the relation are d₁ = 6 and d₂ = -4. [tex]\blacksquare[/tex]
d) The rock hit the ground at a horizontal distance of 6 feet. [tex]\blacksquare[/tex]
e) The relation is graphed below. [tex]\blacksquare[/tex]
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how do you do 6-4 6-5 math in 8th grade
Answer:
Image result for how do you do 6-4 6-5 math in 8th grade
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Step-by-step explanation:
Identify the unit rate in the graph.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's find the unit rate (r) ~
[tex]\qquad \tt \dashrightarrow \:r = \dfrac{y 2 - y1}{x2 - x1} [/tex]
[tex]\qquad \tt \dashrightarrow \:r = \dfrac{50 - 0}{1 - 0} [/tex]
[tex]\qquad \tt \dashrightarrow \:r = {50 }{} \: mph[/tex]
Take two points
(1,50)(2,100)Slope:-
m=y_2-y_1/x_2-x_1m=100-50/2-1m=50A size 8 kid’s shoe measures 9 2/3 inches. If 5 size 8 shoes are lined end to end, then how many inches will they cover?
Answer:
48 1/3
Step-by-step explanation:
Answer:29/3 x 10 = 290 / 3 = 96 2/3 inches
Step-by-step explanation:
please help im stuck on this
Answer:
7m
Step-by-step explanation:
The length is 3.5 cm
Since teh scale is 1 cm = 2m
3.5 cm = 2(3.5) m
3.5 cm = 7 m
Therefore our answer is 7m
Answer:
7m
Step-by-step explanation:
i multiplied both sides by 2
because
1cm = 2m so 2 divided by 1 is 2
2.5 times 2 is 5m
3.5 times 2 is 7m
actual area is
5 times 7 which is =
35m^2
You inherit $5000 from your long lost Uncle Harold. The bad news is that the money must sit in a bank account for the next ten years until you can use it. The account earns 7. 2% interest, compounded annually. This means that you will need to multiply the amount of money by 1. 072 to determine how much money remains at the end of the next year
Answer:
5360
Step-by-step explanation:
5000*1.072=5360
Can someone help with this?
8(2y+y)
hope it helps!!!
what is 44237 divdied by 31 asap
Answer:
1427
Step-by-step explanation:
In circle G with m \angle FGH= 42m∠FGH=42 and FG=6FG=6 units find area of sector FGH. Round to the nearest hundredth.
The area of the sector with a radius of 6units and an angle of 4 degrees rounded to the nearest hundredth is 13.19 square units
How to find the area of a sector?The sector is a part of a circle with an angle subtended at the centre. The formula for calculating the area of a sector is expressed as:
A = r²Ф/2
where:
r is the radius
Ф is the subtended angle
Given the following
r = 6 units
Ф = 42degres
SubstituteArea of the sector = 6²/2 * 42/180 π
Area of the sector = 13.188units
Hence the area of the sector rounded to the nearest hundredth is 13.19 square units
Learn more on area of sector here: https://brainly.com/question/22972014
To avoid a storm, airline
pilots flew the path shown
at the right from Houston to
Cleveland. How many
miles farther did they travel
than if they had gone directly?
Graph is in the picture.
Answer:
add them to get the answer then times 2 to it
Step-by-step explanation:
2,037 + 366 = 2,403
Answer---2,403
NEED HELP QUIK!!! 20PTS
For his phone service, Ryan pays a monthly fee of $10, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $92.74. What are the possible numbers of minutes he has used his phone in a month? Use m for the number of minutes, and solve your inequality for m.
Answer:
$92.74 = 0.06m + $10
m = 1545.67 (or 1546 if rounded to the nearest whole minute)
Step-by-step explanation:
m represents the number of minutes, which we have been told are charged at $0.06 per minute.
$10 is the constant because he is charged this every month.
Set up the equation with these numbers:
92.74 = 0.06m + 10
Now solve the equation
Subtract 10 from both sides to get m by itself:
92.74 - 10 = 0.06m + 10 - 10
82.74 = 0.06m
Divide each side by 0.06 to get m as a whole number
92.74/0.06 = 1545.67
0.06m/0.06 = m
Therefore
m = 1545.67 (or 1546 if rounded to the nearest whole minute)
Indira drew 3 animals: an eagle, a snake, and a shark. She drew each animal twice, once with green eyes and once with red eyes. Ten students chose their favorite drawing. Three of them chose the shark with red eyes.
How many possible outcomes are there in the sample space of her experiment? Based on the results, what is the experimental probability that a shark with red eyes is not picked, written as a percent?
(PLEASE HELP!!)
Since each of the 10 students has 3 choices, there are [tex]3^{10}[/tex] possible outcomes in the sample space of her experiment.
Using the probability concept, it is found that there is a 70% experimental probability that a shark with red eyes is not picked.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these numbers of outcomes are taken from previous trials.
In this problem, out of 10 students, 3 choose the shark with red eyes, hence 7 did not choose them, thus:
p = 7/10 = 0.7 = 70%.
Hence, there is a 70% experimental probability that a shark with red eyes is not picked.
For the total number of outcomes, there are 10 students, each with 3 choices, hence there are there are [tex]3 \times 3 \times 3 \cdots \times 3 = 3^{10}[/tex] possible outcomes in the sample space of her experiment.
More can be learned about probabilities at https://brainly.com/question/14398287
-. Write the integers -5, 4, 0, -8 in order from least to greatest.
A. 0, 4, -5, -8.
C.-8, -5, 0,4
B.-5, -8,0,4
D. 4,0, -5, -8
Answer:
This is the answer
C. -8, -5, 0,4
Maggie sells homemade cookies. on a dozen cookies she spend 0.50 on flour, 0.70 on sugar, 0.40 on eggs,and 0.40 on packaging if she sells a dozen cookies for six dollars how much profitting does she make
Using the profit concept, it is found that she makes a profit of $4 selling a dozen cookies for six dollars.
What is a profit?
The profit is given by the subtraction of the revenue by the total costs.
In this problem:
For the dozen cookies, she earned a revenue of 6 dollars.In all, the total cost of the 12 cookies was of 0.5 + 0.7 + 0.4 + 0.4 = 2 dollars.6 - 2 = 4, hence she makes a profit of $4.
More can be learned about the profit concept at https://brainly.com/question/4001746
How many milligrams are equal to 17. 9 grams?
A. 0. 0179 mg
B. 179 mg
C. 17,900 mg
DX. 179,000 mg
Answer:
17,900 mg
Step-by-step explanation:
I took the k12 test today
Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6) Rewrite terms that are subtracted as addition of the opposite. g2 + (–4g4) + 5g + 9 + (–3g3) + 3g2 + (–6) Group like terms. Combine like terms. Write the resulting polynomial in standard form. Complete the steps to find the sum. What is the sum? –7g4 + 4g3 – 3g2 + 5g – 3 –4g4 – 3g3 + 4g2 + 5g + 3 –4g4 + 4g2 + 14g – 6 –3g4 + 14g – 6
Answer:
(b) –4g^4 – 3g^3 + 4g^2 + 5g + 3
Step-by-step explanation:
The simplification process is described and partially carried out. We are to finish by combining like terms and writing the result in standard form.
__
Combine Like Termsg^2 + (–4g^4) + 5g + 9 + (–3g^3) + 3g^2 + (–6) . . . . given
The like terms are the g^2 terms and the constants.
= (1 +3)g^2 + (–4g^4) +5g +(9 +(–6)) +(–3g^3)
= 4g^2 +(–4g^4) +5g +3 +(–3g^3)
__
Write in Standard FormIn this form, the terms are written in order of decreasing degree.
= –4g^4 –3g^3 +4g^2 +5g +3
Answer:
(b) -4g^4 - 3g^3 + 4g^2 + 5g + 3
Step-by-step explanation:
Ed22
The product of three and a squared number is twice the sum of the number and four.
A. 3x2 = 2(x+4)
B. (3x)2 = 2(x+4)
C. (3x)2 = 2x +4
D. 3x2 = 2x+4
Answer:
It B option.
Step-by-step explanation:
I hope it's the right answer.