Answer:
Option C
Step-by-step explanation:
To find the nature of the roots we use the Discriminant formula which is:
[tex]D=b^2-4ac[/tex]
and given the equation and compare with the standard quadratic equation
[tex]x^2-9x=20\\x^2-9x-20=0\\ax^2+bx+c=0[/tex]
Here our a is 1 , b is -9 and c is -20 so we plug a, b, c into the Discriminant formula
[tex]D=b^2-4ac\\D=(-9)^2-4(1)(-20)\\D=81+80\\D=161[/tex]
Since D > 0 (greater than zero) our roots are real and unequal for the rational and irrational part we got know the the Discriminant's square root value if it is in decimals the nature of the roots are irrational if the Discriminant's value is a whole number then it is rational and so 161 has a square roots in points which is
[tex]D=\sqrt{161} \\D=12.6885[/tex]
So our answer is real , irrational and unequal which is Option C
NUMBER 6 ONLY. Please help. Only if you are SURE
Answer:
I think it should be zero
Solve this 40 pointsssss
Answer:
2
Step-by-step explanation:
Answer:
6 because the pattern on the 3 rows is remove 1 on each of the starting and end point of the pattern, therefore, 6 for the 4th row, 4 for the 5th row 2 for the last row
Graph the equation by plotting three points. If all three are correct, the line will appear. 2y = 5x + 11
Answer: (-1,3) (-2, 0.5) (0,5.5)
Step-by-step explanation:
Sarah read 64 1/2 pages of her book in 6 hours. What is the average number of pages that Sarah reads per hour?
Answer:
We conclude that the average number of pages that Sarah reads per hour will be: 10.75 page per hour
Step-by-step explanation:
Given
Number of pages Sarah read [tex]=64\frac{1}{2}=\frac{129}{2} = 64.5[/tex]Number of hours Sarah spent = 6 hoursThe average number of pages per hour can be calculated by simply dividing the total number of pages i.e. 64.5 pages by the number of hours spent on reading i.e. 6 hours.
Thus,
Average number of pages per hour = 64.5 pages / 6 hours
= 10.75 page per hour
Therefore, we conclude that the average number of pages that Sarah reads per hour will be: 10.75 page per hour
a(7x + 3) = b + 14x?
Answer:
Step-by-step explanation:
So first add 7 +3 adn get 10, then add 14, and then you will get 24
24 is your answer.
In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?
5 + 3p ≥ 30
5 + 3p ≤ 30
5p + 3 ≥ 30
5p + 3 ≤ 30
Answer:
A) 5+3p ≥ 30
Step-by-step explanation:
The 5+3p has to be greater than 30 to move on to the next round. The student scored 5 points in the first round and since the other 3 rounds he scored the same amount of points, your equation would be 5+3p ≥ 30 :)
If you were to solve this, you would subtract 5 from both sides to find that 3p≥ 25. Divide 25 by 3 to find out that Steward needed to score at least 9 points in each of rounds 2,3, and 4, so a possible solution could be that he earned 5 points in round 1, 9 in round 2, 9 in round 3, and 9 in round 4 for a total of 32, which is enough to qualify for the final round :)
Isabella baked 10 cookies with 2 scoops of flour. How many scoops of flour does Isabella need in order to bake 45 cookies? Assume the relationship is directly proportional
Answer:
9 scoops
Step-by-step explanation:
If 10 cookies took 2 scoops of flour, then 4 scoops would make 20 cookies, 6 scoops would make 30, 8 scoops would make 40. If you need 5 cookies, then split 2 scoops in half, which would be one scoop. 8 scoops(which is 40 cookies)+ 1 scoop(5 cookies) = 9 scoops (45 cookies)
Assume the birth of a boy or a girl is equally likely. The probability that a single child is born a girl is One-half. What is the probability that the next child born to the same familiy will also be a girl?
a.
One-half
b.
One-fourth
c.
StartFraction 1 Over 8 EndFraction
d.
StartFraction 1 Over 12 EndFraction
Answer:
B
Step-by-step explanation:
EDG2021
Describe a real-world example on how coordinate geometry is/can be used in the real-world. Then, create a sample question based on your example for the rest of your classmates to solve.
Answer:
Step-by-step explanation:
I think jhonnu
The Precision Writing Instruments Company makes two pen designs - the Cordova design and the Savannah design. These data apply, regardless of which of two pen designs is being implemented. Materials cost per pen is $6. Labor cost per pen is $5. Production overhead is
$1,000,000. Advertising and promotion is $1,000,000. Marketing research has estimated the following demand functions for the next year of sales for the two pen designs where Q represents demand in thousands and P represents price. For the Cordova design, Q = 150 - 2.5P. For the Savannah design, Q = 175 - 2.1P. A penetration strategy is proposed for the Savannah design and a price of $25 is selected. What will be the profit or loss for the first year?
9514 1404 393
Answer:
loss of $285,000
Step-by-step explanation:
The demand for the Savannah design is estimated to be ...
Q = 175 -2.1P = 175 -2.1(25) = 122.5 . . . . thousand pens
Then the contribution margin from sales will be ...
122,500($25 -$6 -$5) = $1,715,000
Against a total of $2,000,000 in production and advertising costs, the net will be a loss of ...
$2,000,000 -1,715,000 = $285,000
The first-year loss will be $285,000.
For a sample size of 55 and a population parameter of 0.2, what is the standard error of the sampling distribution? Round your answer to three
decimal places.
A. 0.028
B. 0.054
C. 0.035
D. 0.043
The standard error of the sampling distribution is given as follows:
B. 0.054.
How to obtain the standard error of the sampling distribution?By the Central Limit Theorem, for a proportion p in a sample of size n, the standard error of the sampling distribution of sample proportions is given as follows:
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The parameter values for this problem are given as follows:
p = 0.2, n = 55.
Hence the standard error is given as follows:
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]s = \sqrt{\frac{0.2(0.8)}{55}}[/tex]
s = 0.054.
Meaning that the correct option is given by option B.
More can be learned about the Central Limit Theorem at https://brainly.com/question/25800303
#SPJ1
(5x+3) - (2x-6) i need help ? ToT
Answer:
3x + 9
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(5x + 3) - (2x - 6)
Step 2: Simplify
Distribute negative: 5x + 3 - 2x + 6Combine like terms (x): 3x + 3 + 6Combine like terms (Z): 3x + 9A bag contains 100 marbles. Some are blue, and the rest are white. There are 24 blue
marbles for every 1 white marble. How many blue marbles are in the bag?
Explain your reasoning.
Answer:
there would be 96 blue marbles and 4 white ones
Step-by-step explanation:
theres 100 marbles. every 24 marbles is 1 white marble. 24+1=25 25×4=100 24×4=96 1×4=4
Answer:
96 blue
Step-by-step explanation:
There are 24 blue for every 1 white so
24+1 = 25 blue marbles
25x4 = 100 or the total amount
100(total)-4 (white)
= 96 blue marbles
14 compact cars at 56% of cars sold that day
Answer:
4
Step-by-step explanation:
You increase your walking speed from 1 m/s to 3 m/s in a period of 1 s.
What is your acceleration?
Answer:
2 m/s
Step-by-step explanation:
Answer:
2m/s²
Step-by-step explanation:
acceleration= v-u/t
=3-1/1
=2m/s²
Amplitude: 6 Period: 44
Phase shift:
Step-by-step explanation:
provide more details, please
What is the length of x?
Answer:
The length of 'x' is 4
Step-by-step explanation:
We can use the pythagorean theorem to solve this.
The pythagorean theorem is:
[tex]a ^{2} + b^{2} = {c}^{2} [/tex]
[tex]a ^{2} + b^{2} = c^{2} \\ {3}^{2} + {b}^{2} = 5^{2} \\ 9 + {b}^{2} = 25 \\ \frac{ - 9 \: \: \: \: \: \: \: \: = - 9}{b ^{2} = \sqrt{16} } \\ b = 4[/tex]
Therefore x = 4
Please help this is for a grade I don’t know the answer will give brainlest
Answer:
The answer is d
Step-by-step explanation:
Answer: d
Step-by-step explanation:
Rewrite
8
as
2
3
.
x
3
−
2
3
=
0
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a
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(
a
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(
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b
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Simplify.
Tap for more steps...
(
x
−
2
)
(
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x
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4
)
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If any individual factor on the left side of the equation is equal to
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0
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−
2
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Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
+
i
√
3
,
−
1
−
i
√
3
The final solution is all the values that make
(
x
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2
)
(
x
2
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2
x
+
4
)
=
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true.
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=
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,
−
1
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√
3
,
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1
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3Rewrite
8
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2
3
.
x
3
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2
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Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
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where
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x
and
b
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x
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0
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Tap for more steps...
(
x
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(
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4
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=
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−
1
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√
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,
−
1
−
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3
The final solution is all the values that make
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x
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)
(
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2
x
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simplify 4(x + 2y)-(3x-8y)
Answer: x + 16y
Step-by-step explanation:
multiply 4 to x+ 2y
4x + 8y - 3x + 8y (open the bracket)
x + 16y
Answer:
x+16y
Step-by-step explanation:
4(x+2y)-(3x-8y)
we open the brackets and the sign of the second bracket changes
4x+8y-3x+8y
we group x's and y's
x+16y
What is the slope of the following equation? y =- 1/2×+1
Answer:
-1/2
Step-by-step explanation:
Answer: -1/2
Reason: In the equation of y = mx + b. The m is the slope, and the b is the y intercept, so that is how I figured out the Slope of the equation. I hope this helps, and Happy Holidays! :)
Find a · b.
a = 5i + 4j − k, b = −4i + 9k
Answer
a · b= the square root of b(5i + 4j - k) divided by b
HELP HELP HELP .............
Answer:
Sorry i don't know what's the actual answer, but you can use Desmos app for graphing, hope that helps
Answer:
there you go if you want mark brainlest if not its okay with me
Step-by-step explanation:
The angle of elevation from me to the top of a hill is 51 degrees. The angle of elevation from me to the top of a tree is 57 degrees. The tree stands 20 ft off the hill. How high is the top of the tree from the base of the hill?
Answer:
Approximately [tex]101\; \rm ft[/tex] (assuming that the height of the base of the hill is the same as that of the observer.)
Step-by-step explanation:
Refer to the diagram attached.
Let [tex]\rm O[/tex] denote the observer.Let [tex]\rm A[/tex] denote the top of the tree.Let [tex]\rm R[/tex] denote the base of the tree.Let [tex]\rm B[/tex] denote the point where line [tex]\rm AR[/tex] (a vertical line) and the horizontal line going through [tex]\rm O[/tex] meets. [tex]\angle \rm B\hat{A}R = 90^\circ[/tex].Angles:
Angle of elevation of the base of the tree as it appears to the observer: [tex]\angle \rm B\hat{O}R = 51^\circ[/tex].Angle of elevation of the top of the tree as it appears to the observer: [tex]\angle \rm B\hat{O}A = 57^\circ[/tex].
Let the length of segment [tex]\rm BR[/tex] (vertical distance between the base of the tree and the base of the hill) be [tex]x\; \rm ft[/tex].
The question is asking for the length of segment [tex]\rm AB[/tex]. Notice that the length of this segment is [tex]\mathrm{AB} = (x + 20)\; \rm ft[/tex].
The length of segment [tex]\rm OB[/tex] could be represented in two ways:
In right triangle [tex]\rm \triangle OBR[/tex] as the side adjacent to [tex]\angle \rm B\hat{O}R = 51^\circ[/tex].In right triangle [tex]\rm \triangle OBA[/tex] as the side adjacent to [tex]\angle \rm B\hat{O}A = 57^\circ[/tex].For example, in right triangle [tex]\rm \triangle OBR[/tex], the length of the side opposite to [tex]\angle \rm B\hat{O}R = 51^\circ[/tex] is segment [tex]\rm BR[/tex]. The length of that segment is [tex]x\; \rm ft[/tex].
[tex]\begin{aligned}\tan{\left(\angle\mathrm{B\hat{O}R}\right)} = \frac{\,\rm {BR}\,}{\,\rm {OB}\,} \; \genfrac{}{}{0em}{}{\leftarrow \text{opposite}}{\leftarrow \text{adjacent}}\end{aligned}[/tex].
Rearrange to find an expression for the length of [tex]\rm OB[/tex] (in [tex]\rm ft[/tex]) in terms of [tex]x[/tex]:
[tex]\begin{aligned}\mathrm{OB} &= \frac{\mathrm{BR}}{\tan{\left(\angle\mathrm{B\hat{O}R}\right)}} \\ &= \frac{x}{\tan\left(51^\circ\right)}\approx 0.810\, x\end{aligned}[/tex].
Similarly, in right triangle [tex]\rm \triangle OBA[/tex]:
[tex]\begin{aligned}\mathrm{OB} &= \frac{\mathrm{AB}}{\tan{\left(\angle\mathrm{B\hat{O}A}\right)}} \\ &= \frac{x + 20}{\tan\left(57^\circ\right)}\approx 0.649\, (x + 20)\end{aligned}[/tex].
Equate the right-hand side of these two equations:
[tex]0.810\, x \approx 0.649\, (x + 20)[/tex].
Solve for [tex]x[/tex]:
[tex]x \approx 81\; \rm ft[/tex].
Hence, the height of the top of this tree relative to the base of the hill would be [tex](x + 20)\; {\rm ft}\approx 101\; \rm ft[/tex].
HELP ME PLZ
A figure is shown in the image. What is the measure of the
highlighted angle?
А. 30
В. 60
С. 120
D. 65
Answer:
c is the correct answer i my guest
Question
You flip a coin 10 times and get heads 6 times. Based on this experiment, what is the probability of flipping a coin and
getting heads?
Select the correct answer below:
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Find the unit prices to the nearest tenth of one cent 12 oz for $2.10
Answer:
Concept: Unit Price & Algebraic Representation
You have 12 oz You have a total price of 2.10 Hence you divide 2.10/12 Your result to the nearest tenth is 0.2 Rate positively and give brainlistAxis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, -0.75); f(x) = x2 - x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = -x2 + x
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + 2x + 1
Answer:
Option A: Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Step-by-step explanation:
1) The axis of symmetry of quadratic graph is the vertical line that divides the graph curve into two congruent halves. In this case, it is: x = -0.5
2) Vertex is the point at which the graph curve changes direction or simply coordinates of the crest or trough of the curve.
The graph given has a trough with the coordinates: x = -0.5, y = 0.75. This is (-0.5, 0.75)
3) The roots of a quadratic equation are the points where the curve crosses the x-axis. In this case, it doesn't cross and so we have imaginary roots.
Now, formula for line of symmetry is; x = -b/2a
Thus; -b/2a = -0.5 or -b/2a = -1/2
Thus, b = 1 and a = 1
Our first and second terms will now be;
x² + x
Looking at the options, the only one with x² + x as it's first 2 terms is option A.
Thus, the complete equation will be x² + x + 1
Joseph loves the Tennessee Titans, so his mother decides to buy
him a Titans cake for his birthday. If the cake cost $ 35.00
before taxes and $ 37.10 after taxes, please and answer
the following questions:
$ 35
1. How much will Joseph's mom pay in taxes?
2. By setting up a percent proportion, determine the percent tax rate.
(The "of" is the price of the cake before taxes and the "is" is the amount of taxes.)
is
of
100
Answer:
Step-by-step explanation:
question one: his mom will pay $2.1 in taxes
thats all i can answer
PLEASE HELP IF UR GOOD AT MATH!!!
Please answer this correctly fast!! What type of triangle is this?
Options:
- SSS
- SAS
- ASA
- AAS
- HL
- Not Possible
Answer:
Not possible
Step-by-step explanation:
These triangles are not congruent