Answer:
Below
Step-by-step explanation:
Arrange the given equation into y = mx + b form of a line
'b' is the y-axis intercept
2x-5y+7 = 0
5y = 2x+7
y = 2/5 x + 7/5
Answer:
(0, 7/5)
Step-by-step explanation:
How is the graph of the parent function, y=xx transformed to produce the graph of y= 1-2x?
the answer is D
It is horizontally compressed by a factor of 2 and reflected over the y-axis
PLEASE HELP!!! CONVERT TO STANDARD FORM (y=ax^2+bx+c
f(x)=2(x-3)^2+7
Answer:
y = 2x^2 - 12x + 25Step-by-step explanation:
Given function
f(x)=2(x-3)^2+7Converting to standard form
y = 2(x - 3)^2 + 7y = 2(x^2 - 6x + 9) + 7y = 2x^2 - 12x + 18 + 7y = 2x^2 - 12x + 25Maggie's brother is 5 years younger than twice her age. The sum of their ages is 22.
How old is Maggie?
Answer:
9 years old
Step-by-step explanation:
Let maggie's age be m,
and let maggie's brother's age be b
b = 2m - 5,
m + b = 22
Substitute "2m - 5" for b in the second equation (substitution)
m + (2m - 5) = 22 -> Remove parenthesis
m + 2m - 5 = 22 -> Combine like terms
3m = 22 + 5 = 27 -> Divide either side by 3
m = 27/3 = 9
Solution: Maggie is 9 years old
Select all of the following that are potential roots of
p(x)=x²-9x²
- 4x + 12?
00
00
+2
NI ###
+4
+9
O +3
+6
+12
The potential roots of the function p(x) = x² - 9x² - 4x + 12 are x = 1, -1.5, and 12.
What is the degree of a polynomial?Degree of a polynomial is the highest power of the variable in that polynomial. For example, in a cubic polynomial, the variable [\(\bold{x}\)] has the highest power of 3.
Given is the following function with degree of 2 as -
We will plot the graph and find the roots of this function. The number of x - intercepts [coordinates where the graph cuts the x axis] will give us the roots or zeroes of the polynomials. Refer to the graph attached, it shows that the graph intercepts the x - axis at three different coordinates which are → x = 1, x = -1.5, and x = 12. Hence, these three values of [x] are the potential roots of the function p(x) = x² - 9x² - 4x + 12.
Therefore, the potential roots of the function p(x) = x² - 9x² - 4x + 12 are x = 1, -1.5, and 12.
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The potential roots of the given polynomial equation are +4 and -3. These roots are found by factoring the equation, setting each factor equal to zero and solving for x.
Explanation:To find the potential roots of the polynomial equation p(x) = x² - 9x - 12, we can set the equation to zero and solve for x: 0 = x² - 9x - 12.
Next, we look for the factors of 12 which when multiplied would give you -12 and when subtracted would give you 9. There we have -4 and +3. Therefore the factors of the equation are (x - 4)(x + 3) = 0.
So, Final answer:
The potential roots of the given polynomial equation are +4 and -3. These roots are found by factoring the equation, setting each factor equal to zero and solving for x.
Explanation:To find the potential roots of the polynomial equation p(x) = x² - 9x - 12, we can set the equation to zero and solve for x:
0 = x² - 9x - 12.
Next, we look for the factors of 12 which when multiplied would give you -12 and when subtracted would give you 9. There we have -4 and +3. Therefore the factors of the equation are (x - 4)(x + 3) = 0.
So, potential roots of the equation are x = 4 and x = -3 if we set each factor equal to zero and solve for x. This means that from the given options, the potential roots to the equation would be +4 and -3 (though -3 is not mentioned). of the equation are x = 4 and x = -3 if we set each factor equal to zero and solve for x. This means that from the given options, the potential roots to the equation would be +4 and -3 (though -3 is not mentioned).
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Write an equation in slope-intercept form of the line that passes through (-5, 5) and (5, - 5).
An equation is
Answer:
y=-5x+5
Step-by-step explanation:
Use the discriminant to describe the roots of each equation. Then select the best description. 2x2 + 7x + 6 = 0
- double root
- real and rational roots
- real and irrational roots
- non-real roots
The best description for the roots is double root. Option A
What is the discriminant?We know that the discriminant is the value that can be able to tell us the nature of the roots that we have in the equation. The roots of the equation would tell us more about how the equation can be approached.
Now we have the equation; 2x^2 + 7x + 6 = 0
a = 2, b = 7, c = 6
Using the formula;
√b^2 - 4ac
√(7)^2 - (4 * 2 * 6)
√49 - 48
√1
= 1
The roots of the equation must be a double root as shown.
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Select the correct answer.
E
B
2
7
B
C
0
b D
Polygon ABCDE is reflected to produce polygon ABCDE. What is the equation for the line of reflection?
ОА У-0
OB. X=0
OC x=2
OD. y=1
Answer:
B. x = 0
Step-by-step explanation:
we notice that a point and it’s image have the same y-coordinate and opposite x-coordinates
Example :
A(-2 , 2) is a point and A(2 , 2) it’s image by the reflection
\(y_{A}=2=y_{A^{\prime }}\)
\(x_{A}=-2=-x_{A^{\prime }}\)
Then the reflection is across the y-axis
Or The equation of the y-axis is x = 0
Select the correct answer. Simplify the following expression.
The simplified exponential expression for this problem is given as follows:
D. 1/49.
How to simplify the exponential expression?The exponential expression for this problem is defined as follows:
\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)
When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.
Hence the exponent is given as follows:
-5/6 - 7/6 = -12/6 = -2.
The negative exponent is moved to the denominator, hence:
1/7² = 1/49.
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plz help can you go page123 sovle I CANT SOLVE
Answer:
WHAT DO U MEAN PG 123
Step-by-step explanation:
like seriously there is like thousands of pages
PLS HURRY!!
Pi is 3.14. What is the Golden Ratio?
Answer:
Step-by-step explanation:
Also known as the Golden Section, Golden Mean, Divine Proportion, or the Greek letter Phi, the Golden Ratio is a special number that approximately equals 1.618. ... The Fibonacci sequence is the sum of the two numbers before it. It goes: 0, 1,1, 2, 3, 5, 8, 13, 21, and so on, to infinity.
Answer:
1 + square root of 5 divided by 2
The dimensions of a cylinder are shown in the diagram
Round to the nearest whole number , what is the total surface area of the cylinder in cubic centimeters
Answer:
S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3
The probabilities that stock A will rise in price is 0.47 and that stock B will rise in price is 0.53. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.57. a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.) b. Are events A and B mutually exclusive? Yes because P(A | B) = P(A). Yes because P(A ∩ B) = 0. No because P(A | B) ≠ P(A). No because P(A ∩ B) ≠ 0. c. Are events A and B independent? Yes because P(A | B) = P(A). Yes because P(A ∩ B) = 0. No because P(A | B) ≠ P(A). No because P(A ∩ B) ≠ 0.
Step-by-step explanation:
P(A) = 0.47
P(B) = 0.53
P(A|B) = 0.57
a. Probability that at least one stock will rise is equal to P(A u B)
= P(A) + p(B) - P(A n B)
= (O.47+0.53)-(0.53*0.57)
= 1-0.3021
= 0.6979
b. Events A and B are not mutually exclusive. This is because P(AnB)≠0
P(AnB) = p(B).P(A|B)
= 0.53x0.57
= 0.3021 and this value is not equal to 0
c. No, events A and B are not independent. This is because P(A|B) ≠ P(A)
Since we have
p(A) as 0.47
P(A|B) as 0.53
Tom makes $ in 281.10 days. How much does he make in 5 days?
Tom earns $100 in 5 days if he makes $5622 in 281.10 day, in the given arithmetic problem.
What is arithmetic?A branch of mathematics that deals with the properties of numbers is known as arithmetic, which uses the four operations. A branch of mathematics that deals with the properties of numbers is known as arithmetic, which uses the four operations.
The four operations are addition, subtraction, multiplication, and division. The guidelines for each procedure are very specific.
One of the fundamental principles of addition and subtraction is that while addition increases a number's overall value, subtraction decreases it.
Given that he earn $5622 in 281.10 day
In 1 day he earns = 5622/281.10
= $20
So in 5 days he earns = 5 × $20
= $100
Thus, Tom earn $100 in 5 days if he makes $5622 in 281.10 day, in the given arithmetic problem.
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Full question:
Tom makes $5622 in 281.10 days. How much does he make in 5 days?
Which sources are reliable? Check all that apply. a National Oceanic and Atmospheric Administration article discussing Pacific bluetin tuna population numbers a high school student's blog discussing sources of biofuel an advertisement for a protein drink in Exercise magazine a study describing clinical trials of a new medication in the Journal or Medemal Chemistry an entry about the mating habits of snow leopards that can be edited by the general public
answer:a National Oceanic and Atmospheric Administration article discussing Pacific bluefin tuna population numbers
a study describing clinical trials of a new medication in the Journal of Medicinal Chemistry
Step-by-step explanation:
i did it
The solution is: A.an article discussing mineral resources written by the United States Geological Survey, sources are reliable.
The correct answer will be options-A and C.
What is research?Research is a process of systematic inquiry that entails collection of data; documentation of critical information; and analysis and interpretation of that data/information, in accordance with suitable methodologies set by specific professional fields and academic disciplines.
Explanation:
The research on any question starts with a "review of literature study" which helps gain the knowledge related to the aspect of the hypothesis one is studying.
The sources reviewed by the researcher must follow certain criteria to be cited like:
1. The research should be done by any governmental organisation, research institutes and affiliated universities.
2. The research paper should posses results checked and verified by the peer fellows like by the peer-review of journals.
3. The research should not be edited any general magazines, advertisements and any other unauthorized organizations.
Thus, option-A and C are the correct answer.
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complete question;
Which sources are reliable? Check all that apply.
A.an article discussing mineral resources written by the United States Geological Survey
B.a blog discussing sources of alternate energy written by a high school student
an advertisement for guided hikes and tours in Camping magazine
C.a study describing clinical trials of a new medication in the Journal of Medicinal Chemistry
D.an entry about common uses of metals in an encyclopedia that can be edited by the general public
PLEASE SOMEONE HELP ME!!!!!! I'LL MARK FIRST HELPFUL ANSWER BRAINLY!!!!!!!
Find the value of the following expression:
(28 ⋅ 3−5 ⋅ 60)−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228 (5 points)
Write your answer in simplified form. Show all of your steps
Answer:
Negative 222
Step-by-step explanation:
Put these numbers in order from least to greatest.
-60/64, -3, 65/80, 6/32
simplify the expression (b+3)+(2b-2)
Answer:
if you meant (b+3)+(2^b-2), the answer is b+1+2^b
Step-by-step explanation:
but if you meant (b+3)+(2b-2), the aanswer is 3b+1
Answer:
3b+1
Step-by-step explanation:
(b+3)+(2b-2)
b+3+2b-2
3-2
b+1+2b
b+2b
3b+1
f(x) = x². What is g(x)?
g(x) is the inverse of f(x)
\(f(x) = {x}^{2} \)
\(g(x) = \sqrt{x} \)
I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
What is a possible value of X?Optionsa. 2b. 4c. 14d. 17
The sides of a triangle rule state that the sum of any two sides of a triangle has to be greater than the third side.
Chet using each option to determine which one is a possible value for x:
a. 5, 8, x=2
\(\begin{gathered} 5+8>2 \\ 13>2 \end{gathered}\)\(\begin{gathered} 8+2>5 \\ 10>5 \end{gathered}\)\(\begin{gathered} 2+5>8 \\ 7>8 \end{gathered}\)The third sum does not apply to the triangle side rule, the sum of both sides is less than the length of the third one. x=2 is not a possible side length for this triangle.
b. 5, 8, x=4
\(\begin{gathered} 5+8>4 \\ 13>4 \end{gathered}\)\(\begin{gathered} 8+4>5 \\ 12>5 \end{gathered}\)\(\begin{gathered} 4+5>8 \\ 9>8 \end{gathered}\)The sum of any two sides of the triangle is greater than the third one for every possible combination.
x=4 is a possible side length for this triangle.
c. 5, 8, x=14
\(\begin{gathered} 5+8>14 \\ 13>14 \end{gathered}\)The sum of the side lengths is not greater than the length of the third side. This side length is not valid.
d. 5, 8, x=17
\(\begin{gathered} 5+8>17 \\ 13>17 \end{gathered}\)The sum of the side lengths is not greater than the length of the third side. This side length is not valid.
A typical high-income household in 1980 earned $140,397. A similar household in 2009
earned $168,727. What was the relative increase in income for these households from
1980 to 2009? Round to the nearest one percent.
Answer:
20.2 %
Step-by-step explanation:
A typical high-income household in 1980 earned $140,397.
A similar household in 2009 earned $168,727.
We need to find the relative increase in income for these households from 1980 to 2009.
It can be calculated as follows :
\(\%=\dfrac{168727-140397}{140397}\times 100\\\\=20.17\%\\\\=20.2\%\)
So, the required percent is 20.2%.
Compound Inequalities
Solve for x.
−9x+5<17 AND 13x+25<−1
Answer:
\(x>-\frac{4}{3}\) AND \(x<-2\)
Step-by-step explanation:
-9x + 5 < 17 AND 13x + 25 < -1
13x + 25 < -1
Subtract 25 from both sides;
13x < -26
Divide both sides by 13;
x < -2
-9x + 5 < 17
Subtract 5 from both sides;
-9x < 12
Divide both sides by -9
x > \(-\frac{12}{9}=-\frac{4}{3}\)
I NEED HELP PLEASE
Which shows the list of numbers in order from least to greatest?
(-3), (3/2), (-2), (3.5), -1
THANKS
Answer:
-3, -2, -1, 3/2 ,3.5
Step-by-step explanation:
if this helps please feel free to give brainliest rate 5 and say thanks, good luck
Answer:
A
Step-by-step explanation:
To prepare for a wedding, Aiden bught 60 candles. He paid $0.37 for each candle. His sister bought 170 candles at a sale where she paid $0.05 less for each candle than Aiden did. How much did Aiden spend on candles, how much did his sister spend on candles, and who spent more on candles (how much more when you answer this question).
Answer:
Aiden spent $22.20. His sister spent $54.40. His sister spent $32.20 more than Aiden.
Step-by-step explanation:
If
I
- 9 = 12, what is the value of k?
O A. 1
O B. 7
O C. 9
O D. 63
which angles are equivalent to 65 degreese
Step-by-step explanation:
angles are equivalent to 65 degrees :
<2, <4 & < 8
Median of 3,6,9,7,4,6,7,0,7
The median, mean, range and mode will be 6, 5.4, 9 and 7.
What is median?
The median is the middle number in the data set when the data set is written from least to greatest.
The median is the number in the middle when arranged in an ascending order. The numbers will be:
0, 3, 4, 6, 6, 7, 7, 7, 9.
The median is 6.
The range is the difference between the highest and lowest number which is: = 9 - 0 = 9
The mode is the number that appears most which is 7.
The mean will be the average which will be:
= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.
= 49/9
= 5.4
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39. From the top of a vertical cliff 50 meters high, the angles of depression of an object that is levelled with
the base of the cliff is 30°. How far is the object from the base of the cliff?
A. 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
41. From the top of the building of a food chain, the angle of depression from where Miguel stands is
45°. If the building is 12 meters high, how far is he from it?
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
42. A plane, at an altitude of 3,000 feet, observes the airport at an angle of 27°. What is the
horizontal distance between the plane and the airport to the nearest foot?
A. 3,000 feet
B. 4,000 feet
C. 5,000 feet
D. 6,000 feet
43. An escalator has an angle of elevation of 10° and a vertical rise of 6 m. Find the length of the
escalator.
C. 34.55 m
D. 36 m
A. 6,09 m
B. 34,03 m
Answer: cos4
Step-by-step explanation: 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
Adam went to Target and bought items for $45.05, $9.29, and $0.89. How much did these three
items cost together?