Step-by-step explanation:
Since x² + kx + (k + 3) is tangent to the x-axis, the quadratic function has a repeated root.
The discriminant is zero, so b² - 4ac = 0.
=> k² - 4(1)(k + 3) = 0
=> k² - 4k - 12 = 0
=> (k - 6)(k + 2) = 0
Hence k = 6 or k = -2.
The value of k is -2 and 6.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x² + kx + (k + 3) is tangent to the x-axis.
This means,
The equation has roots.
Now,
The determinant of the equation is equal to zero.
D = b² - 4ac
x² + kx + (k + 3) is in the form of ax² + bx + c.
a = 1
b = k
c = k + 3
Now,
D = 0
k² - 4(k + 3) = 0
k² - 4k - 12 = 0
k² - (6 - 2)k - 12 = 0
k² - 6k + 2k - 12 = 0
k(k - 6) + 2(k - 6) = 0
(k + 2) (k - 6) = 0
k + 2 = 0
k = -2
k - 6 = 0
k = 6
Thus,
k = -2 and 6.
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As part of her role on the planning committee for the high school prom, Keisha hired
a DJ. The DJ charges $150 per hour for performing plus a $100 flat fee for setup and
takedown. The committee budgeted $1000 for a DJ for the prom. Which of the
following represents the number of performing hours, x, for which the DJ could be
hired to stay within the committee budget.
A) x is less than or equal to 6
B) x is greater than or equal to 6
C)x is less than or equal to 7
D) x is greater than or equal to 7
x ≤ 6
which is A
or if not then it's B for
x ≥ 6
The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.3694.5.
Video Games (Minutes) Time with Family (Minutes)
40 80
55 75
70 69
85 64
A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.
B) Is it reasonable to use this line of best fit to make the above prediction?
1) The estimate, a predicted time of 81.54 minutes, is reliable but unreasonable.
2) The estimate, a predicted time of 81.54 minutes, is unreliable but reasonable.
3) The estimate, a predicted time of 81.54 minutes, is both unreliable and unreasonable.
4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.
Complete question :
The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.36x + 94.5.
Video Games (Minutes) Time with Family (Minutes)
40 80
55 75
70 69
85 64
A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.
B) Is it reasonable to use this line of best fit to make the above prediction?
Answer:
81. 54
4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.
Step-by-step explanation:
Given that :
The equation of best fit is defined as :
ý = -0.36x + 94.5.
A.) Predicted number of minutes spent with family (y) for someone who spends 36 minutes playing games (x) will be :
x = 36
From the model :
ý = -0.36(36) + 94.5
y = - 12.96 + 94.5
y = 81.54
Hence.nunber of minutes spent with family = 81.54 minutes.
B.) The correlation Coefficient for the model is - 0.9993, which indicates a very strong negative relationship between both variables. Hence, using this fact, we can conclude that the prediction is reliable. From the data also, spending 36 minutes playing games means such individual will have more time than someone who plays games for 40 minutes, hence, the prediction is also reasonable.
Anna wrote a pattern starting at 0 and following the rule "add 2." Niko wrote a pattern starting at 0 and following the rule "add 4." Which shows the two patterns?
0, 2, 4, 6, 8,... Niko: 0, 4, 8, 12, 16,...
0, 2, 4, 6, 8,... Niko: 4, 8, 12, 16, 20,...
0, 2, 4, 6, 8,... Niko: 0, 4, 6, 8, 10,...
2, 4, 6, 8, 10,... Niko: 4, 8, 12, 16, 20,...
Answer:
The first one is the right answer
Step-by-step explanation:
Hope this helps have a good day
Answer:
the first one is right
Step-by-step explanation:
PLZ answer the QUESTION IF U KNOW THE ANSWER
what two properties were using this equivalent expression
Find the value of x.
Group of answer choices
77
34
69
146
Answer:
x = 69Step-by-step explanation:
∠K = 180 - 146 = 34
34 + x + 77 = 180
x = 180 - 77 - 34
x = 69
Please help don’t pass this question please help me out !
Answer: I think it is (D)
Step-by-step explanation: Its hard to explain but I hope this helps anyways!
Answer:
I think its D to so I would go with that
A university has 55% student girls and 45% boys. A student is chosen at random to take a test. The test for boys has 25 questions and the one for girls has 30 questions. Let X be the random variable, which represents the number of questions to which the selected student answered correctly. Describe the distribution table for X, and calculate the mean and dispersion.
A bakery needs to make 7 batches of muffins before opening in 4 hours. Each batch of muffins takes 2/3 hour to bake.
Which of these graphs represents a function?
A)
A
B)
B
C)
С
D)
D
how do you find a slope
Answer:
rise/run
Step-by-step explanation:
rise meaning the y value, run meaning the x value
Plz Help me find the linear equation!!!!!!!!
Answer:
you need to show or tell us the problem for us to be able to help you
Step-by-step explanation:
:/
Answer:
um
Step-by-step explanation:
can u show us the question bc we can't help if there's no question
solve for X enter your answer in the Box
Answer:
x = 10
Step-by-step explanation:
Since the angles are equal I believe you can just set the ratios equal, cross multiply and solve
Move point F to various positions so the measure of ZA is approximately 15°, 30°, 45°, 60°, and 75°, and record the ratios of the sides of A5C anu
ADE
Answer:
Step-by-step explanation:Correct answer
Factorise 3x to the power of 2 + xy
Answer:
x • (3x + y)
Step-by-step explanation:
Answer:
Step-by-step explanation:
3x to the power of to +xy= x (3x+y)
Question 4 (Essay Worth 10 points) (07.02) Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function xx) = (1.04)X-1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.
Answer:
is it g(x) = 350(1.04)x − 1
or is it this- > g(x) = 350[(1.04)x − 1]
Step-by-step explanation:
well 350 is the initial quantity and we can write the expression like this- g(x)=350(1+0.4)x−1 so here g(x) is the amount received after x years 350 is the original amount 0.4 corresponds to rate of increment
Find the value of x in the diagram below. Classify
Answer:
x = 31.3
Step-by-step explanation:
100° and (3x + 6)° are vertical angles. Vertical angles are congruent.
To find the value of x, set both equal to each other.
3x + 6 = 100
3x = 100 - 6 (subtraction property of equality)
3x = 94
x = 94/3 (division property of equality)
x = 31.3 (nearest tenth)
need answer thanks!!!!!!!
Step-by-step explanation:
Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.
i will give brainliest to whoever answers thiss!!
Answer:
y=3
Step-by-step explanation:
-5y=-11-4
-5y=-15
y=-15/-5
y=3
Hope this helps u...
Answer:
y=3
Step-by-step explanation:
A worker at a snack stand opened a new box of cups. On the first day, the worker used 30 cups from the box. On the second day, the worker used 15% of the remaining cups in the box. A total of 90 cups were used on the second day. What was the original number of cups in the box before any cups were used?
Answer:
630 cups
Step-by-step explanation:
Percentages
This problem is most easily solved backward, i.e., from the final data up to the beginning.
There was a new box of cups and the worker at a snack stand opened it. He first used 30 cups from the box and the second day he uses 15% of the remaining cups in the box, and we are told that represents 90 cups.
If 15% (0.15) equals 90 cups, then the number of cups before the second day was 90/0.15 = 600 cups.
On the first day, we used 30 cups, thus the original number of cups in the box was 600+30=630 cups
Which expression is equivalent to 1/3(9x + 12) + 4x + 6?
A: 7x + 18
B7x + 10
C:13x x +6
D:13x + 18
The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 1/3(9x + 12) + 4x + 6
Simplify the expression, then we have
⇒ 1/3(9x + 12) + 4x + 6
⇒ 3x + 4 + 4x + 6
⇒ 7x + 10
The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.
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Is - .6251327657 a rational number?
Answer:
No
Step-by-step explanation:
I dont think rational numbers can be negative. Also the values are not repeating.
if the nth term of a sequence is n^2 -3, find the first 3 terms and the 10th term.
Answer: -2, 1, 6,...97
Step-by-step explanation:
1st term: 1^2 - 3 = -2
1^2 = 1
1-3=-2
2nd term: 2^2-3 = 1
2^2 = 4
4-3=1
3rd term: 3^2-3 = 6
3^2 = 9
9 -3 = 6
10th term: 10^2-3 = 97
10^2 = 100
100-3=97
x + 5y = 8
3x = 24 - 157
Answer:
1) x+5y=8 (that’s a basically simplified already)
2) -44 1/3
Step-by-step explanation:
1) Since its in it’s most simplified form, leave it like that.
2) Solve it, combine like terms, and then just divide 3 on both sides to isolate variable
Why do we say that the sun is the driving force for (it causes) the weather?
The sun evenly heats up the Earth causing winds.
The sun affects land and water the same way.
The sun supplies the energy (radiation) that drives the water cycle.
The sun evenly heats up the Earth causing water currents.
Answer: The sun supplies the energy (radiation) that drives the water cycle.
Step-by-step explanation:
Option A is wrong because the Sun does not evenly heat up the Earth. The Earth is spherical so the sun heats up some areas more than others.
Option B is wrong as well because the sun does not affect the land and the water the same way.
Option C is correct because radiation from the sun is what causes evaporation in the water cycle.
Option D is wrong because as shown in the first option, the sun does not evenly heat up the Earth.
]
Snow day problem, please answer worth 10 points
The vertices of a rectangle are A(2, 0), B(5, 0), C(5, −2), and D(2, −2). Reflect the rectangle in the y-axis, and then rotate the rectangle 180° about the origin. What are the coordinates of the image?
Answer:
A′(-2, 0), B′(-5, 0), C′(-5, 2), and D′(-2, 2)
Step-by-step explanation:
I did FLVS (Online School stuffs)
Aden started with 6 cups of water. Throughout the day he drank the following amounts: 1 1/3 cups, 1 1/2 cups, 1 2/3 cups, and 3/4 cup. How many cups of water are left?
A. 2/3
B. 3/4
C. 1 1/3
D. 1/4
Answer:
B. 3/4 cup of water
Step-by-step explanation:
1 1/3 + 1 1/2 + 1 2/3 + 3/4 = 5 1/4
6 - 5 1/4 = 3/4
Answer: B or 3/4
Step-by-step explanation:
ok first add all the amounts he drank together
1 1/3 + 1 1/2 + 1 2/3 + 3/4
because the denominators are all different, you have to change them to a common denominator, which is 12. i've also changed them to improper fractions.
1 1/3 = 4/3 = 16/12 1 1/2 = 3/2= 18/12 1 2/3 = 5/3= 20/12 3/4 = 9/12
now add them all together
16/12 + 18/12 + 20/12 + 9/12 = 63/12
now convert the original 6 cups to an improper fraction with the denominator of 12
6 = 72/12
now subtract 63/12 (the amount he drank) from 72/12 (the amount he started with)
72/12 - 63/12 = 9/12
9/12 is able to be simplified to 3/4
so the correct answer is B, or 3/4
Maria earns $2,000 a month, plus 3% commission on everything she sells. 2
Her sales totaled x dollars this month. Which amount represents the
amount of money Maria earns this month?
Answer:
2,000 + 0.03x
Step-by-step explanation:
Find the perimeter and the area of the polygon with the given vertices.
N (0,2), P (5,2), Q (5,5), R (0,5).
Answer:
the perimeter is "16" and the area is "15"
ANSWER ASAP AS MANY AS YOU CAN ITS FOR FINALS
Name the relationship complementary,
linear pair, vertical, zen, strate interior corresponding, or alternate conio 1) 2) 3) 4)
can you understand ........