Consider the functions: f(x) = x2 + 4x – 1 and g(x) = 2x + 5. See graphs alongside. a) Identify each curve b) Find the coordinates of points A, B,..., c) Confirm your calculations by using technology
Answers
Step-by-step explanation:
try the option shown in the attachment.
Finally,
[tex]A(-2-\sqrt{3};0);[/tex]
[tex]B(-1-\sqrt{7};3-2\sqrt{7});[/tex]
[tex]C(-2+\sqrt{3};0);[/tex]
[tex]D(-1+\sqrt{7};3+2\sqrt{7});[/tex]
[tex]E(0;5);[/tex]
[tex]F(-\frac{5}{2};0);[/tex]
[tex]G(-2;-5).[/tex]
in order to calculate the points E & F it is needed to solve the equations y=2*0+5 and 2x+5=0;
in order to calculate the vertex G it is needed to find x-coordinate:
x=(-4)/(2*1)=-2 and to substitute x=-2 into y=x²+4x-1 (y=-5).
Related Questions
Which statement about rational numbers is not correct? *
A All rational numbers are also integers.
B Zero is a rational number.
C All integers also rational numbers
D All rational numbers can be written in the form a/b
Answers
Solve –9. 4 Greater-than-or-equal-to 1. 7x 4. 2. X Less-than-or-equal-to –8 x Less-than-or-equal-to 8 x Greater-than-or-equal-to –8 x Greater-than-or-equal-to 8.
Answers
The solution for the given [tex]-9.4\geq 1.7x+4.2[/tex] will be [tex]x\leq -8[/tex]
What will be the solution for the given inequality?Given that
[tex]-9.4\geq 1.7x+4.2[/tex]
[tex]-9.4-4.2\geq 1.7x[/tex]
[tex]-13.6\geq 1.7x[/tex]
Divide both sides by 1.7 we get
[tex]\dfrac{-13.6}{1.7} \geq \dfrac{1.7x }{1.7}[/tex]
[tex]x\leq -8[/tex]
Thus the solution for the given [tex]-9.4\geq 1.7x+4.2[/tex] will be [tex]x\leq -8[/tex]
To know more about inequalities follow
https://brainly.com/question/24372553
Help someone pls I’m begging u
Answers
Answer:
[tex]\tt SA=3541.92\: cm^2[/tex]
Step-by-step explanation:
[tex]\tt SA=2\times 3.14\times 12(35+12)[/tex]
[tex]\tt 2\times \:12\times \:47\times \:3.14[/tex]
[tex]\tt 3541.92[/tex]
~
Select all of the pieces of information that would tell you x and y have a proportional relationship. Let y represent the distance between a rock and a turtle's current position in meters and x represent the number of minutes the turtle has been moving. y=3x After 4 minutes, the turtle has walked 12 feet away from the rock. The turtle walks for a bit, then stops for a minute before walking again. The turtle walks away from the rock at a constant rate.
Answers
Answer:
y=3x
The turtle walks away from the rock at a constant rate.
Step-by-step explanation:
A proportional relationship is one in which the two variables vary directly with each other and can be represented by the equation:
y = kx, where k is the constant of proportionality.
Also, a proportional relationship has a constant rate which is the ratio of the two variables.
A) The equation y = 3x is a proportional relationship because it is in the form y = kx, k =3
B) After 4 minutes, the turtle has walked 12 feet away from the rock.
We cant say that this is a proportional relationship because it may or may not be proportional.
C) The turtle walks for a bit, then stops for a minute before walking again.
It is not proportional
D) The turtle walks away from the rock at a constant rate
This is a proportional relationship because it has a constant rate
Explain whether the points (−3,8), (−2,3), (−1,−2), (0,−7), (1,−12), and (2,−17) represent the set of all the solutions for the equation y=−5x−7.
A.Yes, because all solutions in the set of solutions for y=−5x−7 need to have integer values for both x and y.
B.Yes, because all of the points that are listed are on the line y=−5x−7.
C.No, because the x-intercept is not provided in the list of points.
D.No, because the set of all solutions of y=−5x−7 is represented by the line of the equation
Answers
Answer:
D
Step-by-step explanation:
We simply put each of the points to test
For a point to be correct, if we substitute the x-coordinate value, we should get the value of the y-coordinate
So let’s proceed
(-3,8)
8 = -5(-3) - 7
8 = 15 -7
8 = 8
(-2,3)
3 = -5(-2) - 7
3 = 10 -7
3 = 3
(-1,-2)
-2 = -5(-1) - 7
-2 = 5-7
-2 = -2
(0,-7)
y = -5x -7
y = -5(0) - 7
y = 0-7 = -7
(1,-12)
y = -5(1) -7
-12 = -5 -7
-12 = -12
(2,-17)
-17 = -5(2) -7
-17 = -10-7
-17 = -17
We can see that all the listed points are on the given line
Although all these points lie on the line, we cannot say they represent the set of all solutions
The set of all solutions can simply be represented by the line of the equation
HELP ME PLS!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
PR =8
Step-by-step explanation:
if you look on the diagram the distance between QS and RS are the same so they equal the exact same. Sorry I don’t know how to do the other one
40% of a number is 80
Find 55% of this number.
Answers
Answer:
The number is 200.
55% of 200 is 110.
[tex]You[/tex] [tex]are[/tex] [tex]probably\\[/tex] [tex]wondering[/tex] [tex]how[/tex] [tex]I[/tex] [tex]got[/tex] [tex]200?[/tex]
I used the formula. In this case...
[tex]\frac{value}{total} * 0.01[/tex]
This is actually the formula for finding the percentage, in case you ever need to use it during a tough situation [tex]:)[/tex]
The angle below is the image formed when a figure containing ZABC is dilated by a
scale factor of 1/2. What is the measure of ZABC?
Answers
Answer:
48°
Step-by-step explanation:
Dilating a figure makes the side lengths proportional but does not change the measure of the angles.
Jose and Florence picked apples at the local apple farm. Jose picked four more bushels
than Florence. Together they picked 30 bushels. How many did Florence pick?
Answers
Answer:The answer would be 17
Step-by-step explanation:
30-17=13 J(13) F(13+4=17) 13+17=30
Can someone please answer this? My grades are being permanently put in, In 11 hours! I am horrible when it comes to math, I really need to turn this one assignment in before my math grade gets put in!
Answers
Answer:
try QUIZZLET IT ALWAYS HAVE THE ANSWERS YOUR LOOKING FOR IF THERE NOT ON BRAINLYYY
Step-by-step explanation:
Answer:
$4.00
Step-by-step explanation:
that's the correct answer
James correctly estimated this difference by rounding each number to the nearest whole.
38.85−2.32
What did James get for his estimate?
Answers
Answer:
37
Step-by-step explanation:
This is because u solve the equation first.
After solving the equation the first decimal on the right.If the number is 5 and more than five u go to the position of the one and add plus one to the ones place and change the decimals to 0, if the number is less than five change the decimals to zero and leave the numbers after the decimal point
Walter is making curry for dinner. The recipe says that the curry should cook for 1 hour and 25 minutes. He has been cooking the curry for 59 minutes. According to the recipe, how much longer does Walter need to cook the curry? Write the answer in minutes. minutes
Answers
Answer:
26 minutes.
Step-by-step explanation:
1 hour = 60 minutes. 60 minutes + 25 miuntes= 85 minutes of total cook time. 85 - 59 = 26. We do this because he has already cooked for 59 minutes, and the total time is 85 minutes.
please helllppp i don’t understanddd
Answers
Answer:
B
Step-by-step explanation:
First off, let's make a table for y = sin(x)
(x , y): (0 , 0) (π/2 , 1) (π , 0) (3π/2 , -1) (2π , 0)
Now, making our table for y = 4sin(x) is simple. We just have to multiply all the y-values from the previous table by 4.
(x , y): (0 , 0) (π/2 , 4) (π , 0) (3π/2 , -4) (2π , 0)
Plotting these coordinates, we get the graph depicted in letter B.
Umberto is a one year old, and his mother is sensitive and responsive to his needs. He is distressed when his mother leaves him, and he is happy to see her when she returns. What kind of attachment is this?.
Answers
The type of attachment between Umberto and his mother is called secure attachment.
The theory of attachmentThe theory of attachment in developmental psychology is the theory that every human being is born with the need to form emotional bond with their caregiver.
The four main theory of attachment are:
secure, anxious, avoidant, and fearful-avoidant.The secure attachment theory is characterized by;
confidentsafeappropriate boundariescomfortableresponsive.Because Umberto's mum is sensitive to his needs and he is only comfortable when she is around him makes this a secure type of attachment.
Learn more about attachment theory here:
https://brainly.com/question/14080211
Answer: secure
Step-by-step explanation:
please help.
-
Find out the table by finding the y values of each x value given the function f(x)=1/x
Answers
Answer:
-1=-1, -1/3=-3, -1/9=-9, 0=undefined, 1/9=9, 1/3=3
Step-by-step explanation:
I hope this helps
Answer:
Step-by-step explanation:
[tex]f(-1)=\dfrac{1}{-1}= -1\\\\\\f(\dfrac{-1}{3})=\dfrac{1}{\dfrac{-1}{3}}=1*\dfrac{3}{-1}\\f(\dfrac{-1}{3})=-3\\[/tex]
[tex]f(\dfrac{-1}{9})=1*\dfrac{9}{-1}=-9\\\\[/tex]
[tex]f(\dfrac{1}{9})=1*\dfrac{9}{1}=9\\\\f(\dfrac{1}{3})=1*\dfrac{3}{1}=3[/tex]
One of the legs of a right triangle measures 2 cm and its hypotenuse measures 20 cm. Find the measure of the other leg.
Answers
Answer: 6sqrt(11)
Step-by-step explanation:
HELP AnD SHOW UR WORK please, A recipe calls for 5.25 grams of chocolate. If you have 102.375 grams of chocolate, how many batches,of the recipe can you make?
102.375 ÷ 5.25 = b
which number is correct
19
19.5
20
20.5
Answers
[tex][Hello,BrainlyUser][/tex]
Answer:
19.5
Step-by-step explanation:
Given that;
Recipe calls for 5.25 grams of chocolate
Question Ask;
If you have 102.375 grams of chocolate, how many batches,of the recipe can you make?
Note;
102.375 ÷ 5.25 = b
102.375 ÷ 5.25 = Solution
Solve;
[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:100[/tex]
[tex]\frac{10237.5}{525}[/tex]
[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]
[tex]\begin{matrix}525\overline{|\smallspace10237.5}\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]Divide\;1023\;by\;525\;to\;get\;1[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace1\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 525\overline{|\smallspace10237.5}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace5\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace4\emptyspace9\emptyspace8\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]Divide\;4987\;by\;525\;to\;get\;9[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace19\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 525\overline{|\smallspace10237.5}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace5\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace4\emptyspace9\emptyspace8\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\:\:\:\:\:\:\:\:\:\underline{\emptyspace47\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace6\emptyspace2\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]Divide\;2625\;by\;525\;to\;get\;5[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace19.5\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 525\overline{|\smallspace10237.5}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace5\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace4\emptyspace9\emptyspace8\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\:\:\:\:\:\:\:\:\:\underline{\emptyspace47\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace6\emptyspace2\emptyspace5\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\:\:\:\:\:\:\:\:\:\underline{\emptyspace26\emptyspace2\emptyspace5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\:\:\:\:\:\:\:\:\:\emptyspace\emptyspace\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{102.375}{5.25}\:\mathrm{is}\:19.5[/tex]
[CloudBreeze]
308025 square root division method
Answers
What is the oxidation number for n in the compound nh3? (recall that h usually has an oxidation number of 1.) –3 –1 0 3
Answers
The oxidation number of the nitrogen in the ammonia is negative 3. Then the correct option is A.
What is an oxidation number?The number of allocated elements in a chemical combination is termed an oxidation number. The oxidation number is generally the count of the number of electrons that a molecule or atom shares, loses, or gains during bond formation.
The compound is NH₃ is given.
The chemical equation can be written as
NH₃ = N³⁻ + 3 H⁺
Thus, the oxidation number of the nitrogen in the ammonia is negative 3. Then the correct option is A.
More about the oxidation number link is given below.
https://brainly.com/question/10079361
Answer:
A
Step-by-step explanation:
Sum of fractions 3/5 + 3/5
Answers
Answer:6/5 or 1 1/5
Step-by-step explanation:
4p + 5 + p = 2p + 5 + 3p
P= -2
All real numbers
P = 2
P= 5
Answers
Answer:
P = All real numbers
Step-by-step explanation:
Step 1: Write equation
4p + 5 + p = 2p + 5 + 3p
Step 2: Solve for p
Combine like terms: 5p + 5 = 5p + 5Subtract 5 on both sides: 5p = 5pDivide both sides by 5: p = pHere we see that any value p would render the equation true. Therefore, we have an infinite amount of solutions.
For questions 2-5, the number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 and a standard deviation of 2.1. 2.What is the z-score value ofa randomly selected bag of Skittles that has35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303. What is the probability that a randomly selected bag of Skittles has at least 37Skittles? a) .152 b) .247 c) .253 d).747e).7534. What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125. What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd
Answers
Answer:
a. -1.60377
b. 0.25451
c. 0.344
d. Option b) 78th
Step-by-step explanation:
The number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 and a standard deviation of 2.12.
a)What is the z-score value of a randomly selected bag of Skittles that has 35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303.
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
z = 35 - 38.4/2.12
= -1.60377
Option b) -1.62 is correct
b) What is the probability that a randomly selected bag of Skittles has at least 37 Skittles? a) .152 b) .247 c) .253 d).747e).7534. .
z = (x-μ)/σ
Mean of 38.4 and a standard deviation of 2.12.
z = (37 - 38.4)/2.12
= -0.66038
P-value from Z-Table:
P(x<37) = 0.25451
The probability that a randomly selected bag of Skittles has at least 37 Skittles is 0.25451
Option c) .253 is.correct
c) What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125.
z = (x-μ)/σ
Mean of 38.4 and a standard deviation of 2.12.
For 39 Skittles
z = (39 - 38.4)/2.12
= 0.28302
Probability value from Z-Table:
P(x = 39) = 0.61142
For 42 Skittles
z = (42 - 38.4)/2.12
= 1.69811
Probability value from Z-Table:
P(x = 42) = 0.95526
The probability that a randomly selected bag of Skittles has between 39 and 42 Skittles is:
P(x = 42) - P(x = 39
0.95526 - 0.61142
0.34384
= 0.344
Option c is.correct
d) What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd
z = (x-μ)/σ
Mean of 38.4 and a standard deviation of 2.12.
z = (40 - 38.4)/2.12
= 0.75472
P-value from Z-Table:
P(x = 40) = 0.77479
Converting to percentage = 0.77479× 100
= 77. 479%
≈ 77.5
Percentile rank = 78th
Which value of a would make the inequality statement true? 9.53 < startroot a endroot < 9.54 85 88 91 94
Answers
The value of a lies between 90.8209 and 91.0116 is 91. Then the correct option is C.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
The inequality is given as
9.53 < √a < 9.54
On squaring both sides, we have
9.54² > a > 9.53²
91.0116 > a > 90.8209
Thus, the value of a lies between 90.8209 and 91.0116 is 91. Then the correct option is C.
More about the inequality link is given below.
https://brainly.com/question/19491153
Answer:
the answer is C
Step-by-step explanation:
i got it right.
Which of the following expressions is equal to 48 select all that apply
Answers
Answer:
The first one
Step-by-step explanation:
A baker uses 84 cups of flour for 36 batches of cookies. How many cups of flour are needed for 1 batch of the cookies?.
Answers
Answer:
23/10
Step-by-step explanation:
To find the unit rate divide 84 by 36
84 ÷ 36 = 2.3
To convert 2.3 to a faction
2.3 = 2.0 + 0.3
0.3 = 3/10
3/10 + 2 = 2 3/10
2 3/10 = 23/10
A car burns 40% of the oil in its engine. The car contains 6000ml of oil How much oil does the car burn
Answers
Answer:
2400
multiply 40% and 6000
Step-by-step explanation:
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Who ever is reading this:
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U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer:
2400 ml
Step-by-step explanation:
So you find 40% of 6000 ml
[tex]\frac{40 * 6000}{100 * 1}[/tex]
So 6000 times 40 is 240000
Then 100 times 1 is 100 leaving us with:
[tex]\frac{240000}{100}[/tex]
240000 divided by 100 is 2400 ml
So the car burns 2400 ml of oil.
HOPE THIS HELPED
Question 4 of 25
How is a scientific theory different from a hypothesis?
A. A theory is an explanation of a single phenomenon; a hypothesis is a question that can be tested.
B. A theory is a well-tested explanation; a hypothesis is a possible answer that needs to be tested.
C. A theory and a hypothesis are both educated guesses, but a hypothesis is not proven.
D. A theory explains a scientific law; a hypothesis explains a theory.
Answers
What is the initial value of the exponential function represented by the table?
A.1/8
B.1/4
C.1/2
D.1
Answers
Answer:
1/2
Step-by-step explanation:
The initial value of the function is found when x=0
When x = 0 y= 1/2
The initial value of the function is 1/2
Tracy says the quadratics below
factors to (x + 6)(x – 6). Is she
correct? Explain in words or show
work to prove your answer.
x2 – 12x + 36
Answers
Answer:
no!
One way is to work backwards and check the factored form (x+6)(x-6) using the FOIL method.
Multiply the first terms, then outside terms, then inside terms, then last terms. Simplify and you will find the extended version of (x+6)(x-6) to be x^2-36, NOT the expression x^2-12x+36.
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?
Answers
Answer:
There is a 38% chance at least 1 was blue
Step-by-step explanation:
there are 8 marbles total 3 being blue. 3/8= .375 = 38%
The probability of getting at least 1 blue marble in the given situation is 0.375, i.e., 37.5%.
Probability is the ratio of favorable outcomes to the total number of outcomes.
It is given that there are 3 blue and 5 red marbles in the bag.
Therefore, the total number of marbles in the bag is 8.
Let's take two scenarios, one when one blue marble and one red marble are drawn and the second one when both marbles drawn are blue.
Let B and R be the events of drawing a blue marble and red marble, respectively.
Case 1:
The probability of getting one blue and one red marble is calculated as follows:
[tex]P(B =1, R=1) = \dfrac{3}{8}\times\dfrac{5}{7}[/tex]
[tex]= \dfrac{15}{56}[/tex]
Note that the replacement is prohibited.
Case 2:
The probability of getting two blue marbles is calculated as follows:
[tex]P(B =2) = \dfrac{3}{8}\times\dfrac{2}{7}[/tex]
[tex]= \dfrac{6}{56}[/tex]
The probability of getting at least 1 blue marble is given as follows:
[tex]P(B\ge1) = P(B =1, R=1) + P(B =2)[/tex]
[tex]= \dfrac{15}{56}+ \dfrac{6}{56}\\= \dfrac{21}{56}\\=\dfrac{3}{8}\\= 0.375[/tex]
Therefore, the probability of getting at least a blue marble is 0.375.
Learn more about Probability here:
https://brainly.com/question/32117953
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