-92
Step-by-step explanation:
If a quadratic equation has the following form:
[tex]ax^2 + bx + c =0, \;\;\;a \neq 0[/tex]
then its discriminant D is defined as
[tex]D = b^2 - 4ac[/tex]
In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is
[tex]D = (-2)^2 - 4(4)(6) = -92[/tex]
Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:
[tex]D > 0,\;\;[/tex] there will be 2 real roots
[tex]D = 0,\;\;[/tex] there will be 1 real root
[tex]D < 0,\;\;[/tex] there will be 2 imaginary roots
Hence our given quadratic equation will not have any real roots but only imaginary ones.
A parachutist's speed during a free fall reaches 60 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 15 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
A) The speed of the parachute in feet per second is; 198 ft/s
B) At the given speed, the number of feet the parachute will fall during 15 seconds of freefall is; 2970 ft
We are given;
Speed of parachute during freefall = 60 m/s
A) We are told that 1 m = 3.3 ft
Thus, 60 m/s in ft/s = 60 × 3.3/1 = 198 ft/s
B) Speed is now 198 ft/s
Time is 15 seconds
Formula for distance is;
Distance = speed × time
Distance = 198 × 15
Distance = 2970 ft
Read more about distance, speed and time at; https://brainly.com/question/3267354
Monique mother is 23 years older than Monique. The product of their ages is 518. How old are Monique and her mother?
Answer:
14 and 37
Step-by-step explanation:
[tex]x-y =23\\xy=518[/tex]
x= mother's age
y= Monique's Age
[tex]y=\frac{518}{x}[/tex]
[tex]x=23+y[/tex]
[tex](23+y)y=518[/tex]
[tex]23y+y^{2} =518[/tex]
[tex]y^{2} +23y-518=0[/tex]
[tex](y-14)(y+37)=0[/tex]
[tex]y=14[/tex] monica is 14 years old
The mother: [tex]x-y=23\\x-14=23\\x=23+14 = 37[/tex]
Hope this helps
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=−16x^2+160x+150
Answer:
Answer below
Step-by-step explanation:
Time can not be negative from any perspective. Hence, the correct answer is 10.16 seconds.
The equation of the path of a rocket is given that is y= x^2 + 153x + 98
We need to determine the time that the rocket will hit the ground.
Now, if the rocket hits the ground after the launching then the overall displacement at the time of hitting the ground will be zero.
Therefore, the value of y is 0.
Thus, -16x^2 +153x + 98 = 0
Now, the formula for finding the roots of the quadratic equation
ax^2 +bx +c = 0 is given as:
[tex]x^{1} =\frac{-b+\sqrt{b^2 -4ac} }{2a}[/tex]
[tex]x^2 = \frac{-b -\sqrt{b^2 -4ac} }{2a}[/tex]
Comparing the expression with the standard form of the equation.
a = -16b = 153 and c = 98
By applying the formula there are two values are come that is,
x^1 = -0.602555
x^2 = 10.1651
Time can not be negative from any perspective.
Hence, the correct answer is 10.16 seconds.
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(Hope this helps can I pls have brainlist (crown)☺️)
valor de la incognita 9x+4 =5x+12?
Answer:
9x+4=5x+12
9x-5x=12-4
4x=8
x=2
Hey there!
Solve for x :
Answer :x = 2 ✅
Explanation:9x + 4 = 5x + 12
>> Substract 4 from both sides :
9x + 4 - 4 = 5x + 12 - 4
9x = 5x + 8
>> Substract 5x from both sides :
9x - 5x = 5x - 5x + 8
4x = 8
>> Divide both sides by 4 :
4x / 4 = 8 / 4
x = 2
Therefore, your answer is x = 2.
Learn more about equation :
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33. Jeremy works at a bank and earns $800 for a 40-hour week. His sister, Beth works at a school and only earns $700 for a 30-hour week. Who makes more per hour?
A. Jeremy makes $10 more per hour
B. Beth makes $10 less per hour
C. Beth makes at least $3 more per hour
D. Jeremy makes at least $5 more per hour
Answer:
Step-by-step explanation:
Jeremy
Pay = 800
Time = 40 hours
Per hour pay= 800/40 = 20 dollars per hour.
Beth
Pay = 700
Time = 30 hours
Per hour Pay= 700 / 30 = 23.33
The answer is C. She gets 23.33 which is 3.33 more than her brother makes.
A therapist wants to study the effects of yoga and meditation on stress relief. She has 60 volunteers who experience varying levels of stress. Half of the participants will be assigned to practice yoga for one month and the other half will practice meditation. Before the experiment begins, all of the participants will be asked to rate their stress levels on a scale from 0 to 10, with 0 representing "no stress” and 10 representing "highest level of stress.” At the end of one month, the participants will be asked to rate their stress level again. The differences in stress levels will be compared. Which of the following describes a completely randomized design for this experiment?
Answer:
The answer is C
Step-by-step explanation:
I got a 100% on edge
Answer:
The answer is "Yes, but the effects of the first treatment may affect the results of the second treatment."
Step-by-step explanation:
got it right on edge
(1/4)^3 evaluate simplify
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
This is an Exponent. It is when a number is being multiplied as many times as the Exponent on top.
[tex]\left(\frac{1}{4}\right)^3[/tex] The ³ is the exponent,
[tex]\frac{1}{4} \times\frac{1}{4} \times\frac{1}{4}[/tex] is the expansion, and
Multiply on top: 1 × 1 × 1 = 1
Multiply the bottom: 4 × 4 = 16. 16 × 4 = 64
Hence, [tex]\frac{1}{64}[/tex] is the product or simplified form.
Another way:
[tex]\underline{\mathrm{Exponent\:rule\:}}\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
[tex]\left(\frac{1}{4}\right)^3[/tex]
[tex]=\frac{1^3}{4^3}[/tex]
[tex]1^3=1[/tex]
[tex]=\frac{1}{4^3}[/tex]
[tex]4^3=64[/tex]
[tex]=\frac{1}{64}[/tex]
An office administrator earns $16 an hour, and she works 48 hours a week.
What is her weekly wage?
Answer:
768
Step-by-step explanation:
16x48= 768
Answer:
768
Step-by-step explanation:
you multiply 16 times 48 to find the weekly wage
there are 4 girls who play ping pong after school each girl played exactly three games of ping Pong with each of the other girls how many games of ping Pong with plate altogether
There are total 12 games of ping pong with play altogether by girls.
What is mean by Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Total number of girls who play ping pong game after school = 4
And, Each girl play 3 games of ping Pong with each of the other girls.
Now,
Since, Total number of girls = 4
And, Each girl play 3 games of ping Pong with each of the other girls after school.
Hence, Total number of games of ping pong game with play altogether by girls is;
= 4 x 3
= 12
Therefore,
There are total 12 games of ping pong game with play altogether by girls.
Learn more about the multiplication visit:
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A machinist must cut 17 strips of metal that are each 2 ft 6 2/8 in long. What is the total length of metal needed in inches? Write as a proper or mixed fraction.
Answer:
Step-by-step explanation:
2/8 inch = ¼ inch
1 ft = 12 inch
17(2(12) + 6¼) = 514¼ inches
provided a shear with zero kerf is used.
Find the equation of a line passing through (-2/3, 5) that is parallel to 4x-2y=6. Express your answer in point-slope form.
Using the information given, it is found that the linear function is given by:
[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]
A linear equation, in point-slope formula, is modeled by:
[tex]y - y_1 = m(x - x_1)[/tex]
In which:
m is the slope.The point is [tex](x_1, y_1)[/tex].If two lines are parallel, they have the same slope.Parallel to 4x - 2y = 6, which, in standard form is:
[tex]2y = 4x - 6[/tex]
[tex]y = \frac{4}{2}x - \frac{6}{2}[/tex]
[tex]y = 2x - 3[/tex]
Hence, the slope is [tex]m = 3[/tex].
Point [tex]\left(-\frac{2}{3}, 5\right)[/tex], hence, the equation of the line is:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]
To learn more about linear functions in point-slope form, you can take a look at https://brainly.com/question/13967935
Does any know how to do paragraph proofs?
Answer:
A good paragraph should contain at least the following four elements: Transition, Topic sentence, specific Evidence and analysis, and a Brief wrap-up sentence (also known as a warrant) –TTEB!
Step-by-step explanation:
Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 60 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 15.9 and a standard deviation of 1.8. What is the 99% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? <μ<
Enter your answers accurately to one decimal place.
Sample mean : \overline{x}=10.6x=10.6
Standard deviation : s=1.7s=1.7
Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05
Critical value : z_{\alpha/2}=1.96
Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)
Allison was comparing the price of salmon at two stores. At SuperGrocery B, 0.5 pounds of salmon costs $2.77. The table below represents the total cost, in dollars and cents, yy, that it costs for xx pounds of salmon at SuperGrocery A.
Answer:
15.48
Step-by-step explanation:
When we divide 6.45 by 10, we get 0.645 so, we know that is the rate per 0.1 pound. We multiply 6.45 by 2 to get 12.9 and add 0.645 four times since it is 2.4 pounds and get 15.48.
Answer:15.48
Step-by-step explanation:
15.48
Pls help I’ll brainlest ASAP
Answer:
Slope: -1/4x
y-int: 2
Step-by-step explanation:
Find an equation for the line below
Answer:
y = 1/2x +7/2
Step-by-step explanation:
The two marked points are 2 units apart vertically, and 4 units apart horizontally. The slope of it is ...
m = rise/run = 2/4 = 1/2
The value of the y-intercept can be found from
b = y -mx . . . . . . where (x, y) is a point on the line
Using the point (-1, 3), we find the y-intercept to be ...
b = 3 -(1/2)(-1) = 3 1/2 = 7/2
Then the slope-intercept equation is ...
y = mx +b
y = 1/2x +7/2
can someone gimme the answer please
Answer:
g(x) = 1/4 f(x)
Step-by-step explanation:
(x,y) -> (x , 1/4 y) .. vertical compression
A function is shown below.
f (x) = 83 - 11
What value of x makes f (20) = 21?
Enter your answer in the grid below.
please help!
Answer:
the answer is 4
Step-by-step explanation:
if y=21 the we substitute in the main equation
21=8x-11
8x=32
x=4
please help ill mark brainliestO
Answer:
Yes triangles ACB and FGC are similar using AA.
(Please don't hate if it's wrong)
help pls mwah <3 i also give brainliest
Answer:
i think it is 0.7 correct me if i am wrong i am in the 6th grade
Step-by-step explanation:
Answer:
y=3/4x
Step-by-step explanation:
From the origin (0,0) count the rise to the next point (3) and then the run (4) leaving you with 3/4 as your slope.
Hope that helps
Santa visits 57 houses in 40 seconds. At that rate how many houses can he visit in 160 seconds.
Uh numbers the answer is numbers
Answer:
x = 228
Step-by-step explanation:
Set up a proportion
57 houses / 40 seconds = x houses / 160 seconds
Cross multiply
9120 = 40x
Divide both sides by 40 to isolate x
x = 228
I hope this helped and please mark me as brainliest!
12. Write a
multiplication number sentence that
matches the shading on the grid.
Remember,
each small square
is 1 hundredth.
I am giving away brainest
Answer:
the answer would be 5×1k=b
How to test a function graphically
Answer:
Step-by-step explanation:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
that is known as the vertical line test
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does no represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
Step-by-step explanation:
I need help please I can’t fail this
Answer:
200
Step-by-step explanation:
200 - 35% = 130
130 + 70 = 200
Help help math please please
Answer:
8
Step-by-step explanation:
What is the missing number that makes the ratios equivalent?
12:9
_:18
Answer:
24
Step-by-step explanation:
what numbers can multiply to get -55 but also add to get -6
Answer: 1, 5, 11, 55
Please look at picture for question.
Answer:
I believe the blue dot is on -10
Step-by-step explanation:
Counting from zero by 2's
0, -2, -4, -6, -8, -10,...
Hope this helps! :)
An artist paints a mural containing different-sized triangles. The area of each triangle is
given by the function A(x) = 1/2x(x – 3), where x represents the base length of the
triangle, in inches.
What is the area of a triangle with a base length of 16 inches, represented by A(16), in
square inches?
Answer:
104
Step-by-step explanation:
A(16)=1/2(16)(16-3)
A=8(13)
Area is 104 inches squared
Please answer this, thank you so much
Answer:
second one
Step-by-step explanation:
Notice that there's a y intercept of 2 and an x intercept of -4
This means that the line has a positive slope of 1/2, which leaves us with
y<(1/2)x+2