9514 1404 393
Answer:
x = -0.5 ±√14.25
Step-by-step explanation:
Subtract 1/4 and combine terms.
[tex]\dfrac{1}{x-1}-\dfrac{1}{x+2}-\dfrac{1}{4}=0\\\\\dfrac{4(x+2)-4(x-1)-(x-1)(x+2)}{4(x-1)(x+2)}=0\\\\\dfrac{-x^2-x+14}{4(x-1)(x+2)}=0\\\\x^2 +x -14=0\qquad\text{no factors cancel, numerator must be zero}\\\\(x+0.5)^2-14.25=0\qquad\text{complete the square}\\\\x=-0.5\pm\sqrt{14.25}\qquad\text{add 14.25, square root, subtract 0.5}\\\\x\approx\{-4.2749, 3.2749\}[/tex]
Convert 3 pints into quarts.
Answer:
3 pints equals 1.5 liquid quarts
Step-by-step explanation:
You can use an online calculator or divide by 2!
Step-by-step explanation:
rrrerrrfjsjgzyxixpd7a
How do you get infinitely many solution?
Answer: I’m
Step-by-step explanation: I’d not knkw
Can someone help me and show your work thanks
Answer:
D) $8.20
Step-by-step explanation:
82 x 0.1 = 8.2
Answer: $8.20
Step-by-step explanation:
Take 82 and multiply it by 0.10
You can use this equation
82(n)
n will equal 0.10
82(0.10)
$8.20
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
13 ft
Step-by-step explanation:
65/5
Answer:
13
Step-by-step explanation:
65÷5=13
what is 9 825 rounded to the nearest 5, 10,100 and 1000?
Answer:
9.825 rounded to nearest 5-9.82500
10-9.8
100-9.83
1,000-9.825
Step-by-step explanation:
You can also look up a rounding calculator if you need more help :)
Can you plz help me with number one
Answer: C. 2
Step-by-step explanation:
1/4+9/14+5/7 in a simplify answer, or as a mixed number if possible.
Answer:
45/28
Step-by-step explanation:
Answer: 45/28 or 1 17/28
Step-by-step explanation: First find a common denominator for your fractions so you can express them in a similar way so;
1/4= 7/28
9/14= 18/28
5/7=20/28
(7+18+20)/28= 45/28
acrobats and clowns converged on the center ring in the ratio of 3 to 5.if a total of 72 acrobats and clowns performed in the center ring,how nanny were clowns?
Answer:
Step-by-step explanation:
29.7
Two numbers have prime factors of 2, 3, 5, and 11 that they share. What is the greatest common factor of the two numbers?
Answer:
5
Step-by-step explanation:
5x-2y=-20 and 5x-8y=-50 what is the ordered pair
Answer:
Solution Set: (-2,5)
Step-by-step explanation:
Covert 2/3 years to months
Answer:
7.9 or if you need to round it,it will be 8
Step-by-step explanation:
dont have a explanation nut i hopes this help.
Suppose you can factor x^2 + bx + c as (x + p)(x + q). If c > 0, what could be possible values of p and q?
a. p = 5, q = -8
b. p = -2, q = 6
c. p = -4, q = -7
d. p = -13, q = 1
p could be 5 and q could be 8 this is just my guess but i think its right
p = - 4, q = -7, or in other words with the given choices above, option C. I hope this helps : ) I was working on this assignment earlier; this was a tough question, but I figured it out. If this is the same assignment I am thinking of, it should be alright. :D
Are the sets equivalent?
2) A = {17, 19, 21, 23, 25)
16.
B = {18, 20, 22, 24, 26}
Answer:
Step-by-step explanation:
number of elements in set A=5
number of elements in set B=5
so they are equivalent.
Due immediately!!!!! Please help!!!
Answer:
d. all real numbers
Step-by-step explanation:
the y will always be all real numbers
Show your work for this one
Step-by-step explanation:
multipy the two sides by 2
n+4= -16
move the constant to the right change its sign
n= -16 - 4
calculate the difference
N= - 20
Answer:
[tex]n=-20[/tex]
Step-by-step explanation:
1) Subtract 2 from both sides.
[tex]\frac{n}{2} =-8-2[/tex]
2) Simplify −8−2 to −10.
[tex]\frac{n}{2} =-10[/tex]
3) Multiply both sides by 2.
[tex]n=-10*2[/tex]
4) Simplify 10 * 2 to 20.
[tex]n=-20[/tex]
Therefor, the answer is n = - 20.
Boards R' Us buys new skateboards for $79.85 and markups them up 25%.
Answer:
80.1
Step-by-step explanation:
25% = 1/4 (in fractions)
1/4 = 0.25
79.85+.25 = 80.1 or 80.10 [Eighty Dollars and Ten Cents.]
Answer:
99.82
Step-by-step explanation:
79.85*.25= 19.97.
79.95+19.97= 99.82.
Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are:
Monthly Natural Gas Consumption (cubic feet), Thickness of Insulation (inches), Outdoor Temperature (ºF),
y x1 x2
30.3 6.0 32.0
25.2 12 40
30.5 8 49
On the basis of the sample results, the regression equation is:
yˆ y^ = 57.25 − 1.07x1 − 0.64x2
According to the regression equation, the predicted Monthly Natural Gas Consumption (ŷ) can be estimated by subtracting 1.07 times the Thickness of Insulation (x1) and 0.64 times the Outdoor Temperature (x2) from 57.25.
The regression equation provided is:
ŷ = 57.25 - 1.07x1 - 0.64x2
Where:
ŷ represents the predicted value of Monthly Natural Gas Consumption (cubic feet)
x1 represents the Thickness of Insulation (inches)
x2 represents the Outdoor Temperature (ºF)
Based on the regression equation, the coefficients indicate the relationship between the independent variables (Thickness of Insulation and Outdoor Temperature) and the dependent variable (Monthly Natural Gas Consumption).
The coefficient for x1 (Thickness of Insulation) is -1.07. This means that, holding the Outdoor Temperature constant, for every 1-inch increase in the Thickness of Insulation, the predicted Monthly Natural Gas Consumption is expected to decrease by 1.07 cubic feet.
The coefficient for x2 (Outdoor Temperature) is -0.64. This means that, holding the Thickness of Insulation constant, for every 1-degree Fahrenheit increase in the Outdoor Temperature, the predicted Monthly Natural Gas Consumption is expected to decrease by 0.64 cubic feet.
The constant term in the equation is 57.25. This represents the predicted Monthly Natural Gas Consumption when both the Thickness of Insulation and Outdoor Temperature are zero.
for such more question on regression equation
https://brainly.com/question/22077082
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PLEASE SOMEONE HELP ME
Answer:
X=22
Step-by-step explanation:
90-68=22
Read each of the statements that describe possible decompositions of the polygon in the image into two triangles that can represent the area of the polygon For each statement, determine if "Yes, it is a possible decomposition" or "No, Is it not a possible decomposition and explain your reasoning.
Statement A: the area of triangle GHL plus of triangle HIJ
Statement B: the area of triangle GHK plus the area triangle HIK
Statement C: the area of triangle GHK plus the area of triangle ILK
Statement D: the area of triangle GHK plus the area of triangle ILK
The statements to determine the area of the polygon by division into triangles are evaluated as follows;
Statement A: the area of triangle GHL plus of triangle HIJ --NoStatement B: the area of triangle GHK plus the area triangle HIK --YesStatement C: the area of triangle GHK plus the area of triangle ILK. --NoStatement D: the area of triangle GHK plus the area of triangle ILK. --NoPolygons and TrianglesFrom the given description;
The polygon given can only be divided into two triangles if divided into triangles; GHK and HIK.
Hence, it follows that the area of triangle GHK plus the area triangle HIK is equivalent to the area of the given polygon.
Read more on Area of polygons;
https://brainly.com/question/17589084
Which of the following numbers is a perfect square?
1 489
2 485
3 490
4 484
Answer:
3490 is the perfect square
Answer:
490 is the correct answer
Step-by-step explanation:
Which congruency statement is correct based on the diagram?
O ¤PQN = ¤TSR
Ο ¤PQN = ¤STR
O ¤NQP = ¤STR
O ¤NQP = ¤RST
Answer:
pqn = str
it is option B
hope it helps
A farmers field has the dimensions 2 and 3/4 by 1 and 1/3. He needs to find the area of the field
Answer:
3 2/3 units²
Step-by-step explanation:
Since the field is rectangular in nature;
Area of the field = Length * Width
Given
Length = 2 3/4
Width = 1 1/3
Area of the field = 2 3/4 * 1 1/3
Area of the field = 11/4 * 4/3
Area of the field = 4/4 * 11/3
Area of the field = 1 * 11/3
Area of the field = 11/3
Area of the field = 3 2/3
Hence the area of the field is 3 2/3 units²
Which quadratic relation has a y-intercept of 8?
O y = 0.5(x + 2)(x + 4)
O y = 0.5 (x - 2)(+ 8)
O y = 0.5(x2 -2x - 16)
O y = 0.5 (x2 -2x + 16)
Answer:
y = 0.5 (x^2 -2x + 16) has a y-intercept of 8.
Step-by-step explanation:
The x-coordinate of every y-intercept is zero. To determine which of the four quadratics given here has a y-intercept of 8, we need only substitute 0 for x in each; if the result is 8, we've found the desired quadratic.
O y = 0.5(x + 2)(x + 4) becomes y = 0.5(2)(4) = 4 (reject this answer)
O y = 0.5 (x - 2)(x + 8) becomes y = 0.5(-2)(8) = -8 (reject)
O y = 0.5(x2 -2x - 16) becomes y = 0.5(-16) = -8 (reject)
O y = 0.5 (x2 -2x + 16) becomes y = 0.5(16) = 8 This is correct; that '8' represents the y-intercept (0, 8).
1 point
At a cost of $200, your club bought 175 frisbees to sell at the pep rally. You plan on selling them for $5 each. Which of the following represents the profit function, P.
after selling a certain number of frisbees, f.
Answer:
p(f)=5f-200
Step-by-step explanation:
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2.
Thomas drove 45 miles in 1 hour. At this rate, how many miles will he drive in 4 hours?
Answer:
180
Explanation:
45*4=180
Answer:
I agree with the other answer- 45 x 4= 180 miles
If if Spencer spent a total of $704.00 in the month of July, which is the best estimate for the amount of money he spent on clothing?
Answer:
[tex]Clothing = \$190.0[/tex]
Step-by-step explanation:
Given [Missing details]
Spencer's expenses
[tex]Clothing = 27\%[/tex]
[tex]Gasoline = 11\%[/tex]
[tex]Food = 44\%[/tex]
[tex]Entertainment = 18\%[/tex]
[tex]Total= \$704.00[/tex]
Required:
An estimate for the amount spent on clothing
To do this, simply multiply the clothing percentage by the total amount.
[tex]Clothing = 27\% * \$704.00[/tex]
[tex]Clothing = 0.27 * \$704.00[/tex]
[tex]Clothing = \$190.08[/tex]
Approximate
[tex]Clothing = \$190.0[/tex]
corresponding sides of similar triangles are 4cm and 3metres .What is the enlargement factor 'k'?
Answer:
[tex]k = 75[/tex]
Step-by-step explanation:
Given
Corresponding sides: 4cm and 3m
Required
Determine the enlargement factor
This is calculated as:
[tex]k = \frac{New}{Old}[/tex]
So:
[tex]k = \frac{3m}{4cm}[/tex]
Convert to cm
[tex]k = \frac{3*100cm}{4cm}[/tex]
[tex]k = \frac{300cm}{4cm}[/tex]
[tex]k = \frac{300}{4}[/tex]
[tex]k = 75[/tex]
what is the circumcentwr?
A (7.5,4.5)
B(4,2)
C(0,0)
Answer:
B
Step-by-step explanation:
Kyle and his three friends are all saving money to go on a trip. They each have $20 saved. How much money
will they each need to save in order to have at least $400 in all to go on a trip?
Answer:
each of them need to save 24013813120321312331313131 cents
Step-by-step explanation:
B:
The usual monthly expenses of midas family is 3500.00 for their electric and and with bill, 10,
000 for house and 5,000.00 for their food. The rest of their income will be their savings How much
will be their savings if the couple both earn 10,000.00each
Answer:
$1,500
Step-by-step explanation:
Income - Expenses = Savings
Income = 2 × 10,000 = $20,000
Expenses = 3,500 + 10,000 + 5,000 = $18,500
$20,000 - $18,500 = $1,500 left for Savings