Answer:
x = 10
Step-by-step explanation:
1/2 x - 2 = 3
1/2 x = 3 + 2
1/2 x = 5
x = 5 / (1/2)
x = 10
Consider the functions:
f(x) = x2
g(x) = (x + 1)2 – 2
h(x) = (x + 3)2 + 4
Which statement describes the relationship between the minimums of the functions?
a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x).
b The minimum of g(x) is in the fourth quadrant. The minimum of h(x) is in the first quadrant.
c The minimum of g(x) is farther right and down than the minimum of f(x) and h(x).
d The minimum of g(x) is in the second quadrant. The minimum of h(x) is in the first quadrant.
Answer:
a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x)
Step-by-step explanation:
To know the relation between the minima of the functions you calculate the minima by using the derivative:
[tex]f'(x)=2x\\\\g'(x)=2(x+1)\\\\h'(x)=2(x+3)[/tex]
to find the values of x you equal the derivative of the function to zero:
[tex]f'(x)=0;\ x=0;\\\\g'(x)=0; \ x=-1;\\\\h'(x)=0;\ x=-3;[/tex]
by evaluating this values of x you obtain the coordinates of the minima:
[tex]f(0)=0\\\\g(-1)=-2\\\\h(-3)=4[/tex]
hence, the coordinates will be:
f -> (0,0)
g -> (-1,-2)
h -> (-3,4)
hence, the relation is:
a The minimum of h(x) is farther left and up than the minimum of f(x) and g(x).
1. Rocco purchases a car for $14,950. There is a sales tax of 6.5%.
How much is the final price with tax?
Use the formula amount = cost x tax rate to find the amount of the
sales tax.
Add the cost of the car to the amount of the sales tax to find the final
price.
Answer:
The final price with tax is 15,921.75, and the total tax added was 971.75
Step-by-step explanation:
To find the final cost, you multiply the cost of the product by the tax rate plus one.
For this problem, you multiply 14,950 by (0.065 + 1) to get the answer
Answer:
$15,921.75
Step-by-step explanation:
1. Multiply the cost of the car by the sales tax rate.
14950*.65= 971.75
2. Then add this amout to the original cost of the car.
14950 + 971.75= $15,921.15
How would you multiply a binomial by a trinomial?
Step-by-step explanation:
Multiply one of them by each of the terms in the other, then distribute. Finally, combine like terms.
(ax + b) (cx² + dx + e)
ax (cx² + dx + e) + b (cx² + dx + e)
acx³ + adx² + aex + bcx² + bdx + be
acx³ + (ad+bc) x² + (ae+bd)x + be
The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9
feet by 3 feet, but have different diagonal lengths. Which door will fit in the rectangular opening?
Door 1
Door 2
diagonal: 10 feet
Door 3
diagonal 3 V10 feet
Door 4
diagonal: 6
feet
diagonal: 12 feet
Door 1
Door 2
Door 3
Door
Answer:
Door 3 diagonal 3√10 feet
Step-by-step explanation:
The diagonal of a rectangle is the hypotenuse of a right triangle whose legs are the side lengths of the rectangle. That is, the diagonal of a 9 ft by 3 ft rectangle will have length ...
d = √(9² +3²) = √90 = 3√10
Any "9 ft by 3 ft" figure that has a diagonal different from this is not a rectangle. To fit the rectangular opening, we want a rectangular door—one with a diagonal of 3√10 feet.
Answer:
Door 2
Step-by-step explanation:
Explain how to determine if the two expressions are equivalent using x = 6 and x = 2.
2x + 4 – 1 3 + x + x
Answer:
Well, if you substitute 2 and 6 on the first expression, the answer you get when x=2 is half of what you get when x=6
But for the second expression, the answers are not equivalent
Answer:
If both expressions have the same value after substituting and simplifying for x = 6 and x = 2, then they are equivalent. The value of both expressions is 15 when x = 6. The value of both expressions is 7 when x = 2. So, the expressions are equivalent
Step-by-step explanation:
for the people who has ads
Manipulate the triangle so angle A measures
approximately 92°
Manipulate the triangle so angle B measures
approximately 51°
Notice the straight line p.
What must the measurement of angle C be for p to
remain a straight line?
Angle C should measure approximately
Answer:
37 Degrees
Step-by-step explanation:
Manipulate the triangle so angle A measures approximately 92°.
Manipulate the triangle so angle B measures approximately 51°.
Notice the straight line p.
What must the measurement of angle C be for p to remain a straight line?
Angle C should measure approximately 37 Degrees
There is angle C should measure approximately 37° for line p to remain a straight line.
What are the vertical angles?When two lines intersect at a location, vertical angles are generated. They are always equal to each other.
As we know that a straight line, the sum of the angles is equal to 180°.
So, when angle A measures approximately 92° and angle B measures approximately 51°,
Then, the measurement of angle C must be 180° - 92° - 51° = 37° in order to keep line p a straight line.
Thus, angle C should measure approximately 37° for line p to remain a straight line.
Learn more about the Angles here:
brainly.com/question/2125016
#SPJ6
Which polynomial expression represents the area of the outermost square tile, shown below?
A. X^2+6x+6
B. X^2+9x+6
C. X^2+6x+9
D. X^2-6x+9
Answer:
x² - 6x + 9
Step-by-step explanation:
(x - 3)² = x² - 6x + 9
Haley bought a 3-pound bag of cat food. She feeds her cat 6 ounces of cat food each day.
Will the bag of cat food be enough to feed her cat for 7 days? Use the drop-down menus to explain
Yes; Haley will need _______
ounces of cat food for 7 days. Since 3 pounds is equivalent to______
ounces, and 48 ounces is greater than ______ounces ,she____have enough food .
48 ounces is greater than
Choose.
Yes; Haley will need __42__ ounces of cat food for 7 days. Since 3 pounds is equivalent to__48__ ounces, and 48 ounces is greater than __42__ ounces ,she __will__ have enough food.
What is the degree of the polynomial below?
5+1 – 34 + 3х9 - 2х
a) 3
b) 9
c) 5
d) 4
Write the equation of the circle.
A circle with a diameter having endpoints at (0, 1) and (6,-4)
Answer:
(x - 3)² + (y + 1.5)² = 15.25
Step-by-step explanation:
Centre: midpoint of the diameter
(h,k) = (0+6)/2, (1-4)/2
= (3, -3/2)
Radius = ½(diameter)
Diameter = sqrt(6² + (-4-1)²)
sqrt(61)
Radius = sqrt(61)/2
Equation:
(x - h)² + (y - k)² = r²
(x - 3)² + (y + 1.5)² = 15.25
On a coordinate plane, which BEST describes where the point (−2, 0) lies?
A) in Quadrant I
B) in Quadrant II
C) on the x-axis
D) on the y-axis
The answer is most likely:
B) Quad. 2
Mary hired a moving company. The company charged $400 for its services, and Mary wants to give the movers a 16% tip.
How much does Mary pay the movers total including the tip?
Explain how you found your answer.
Answer:
$464
Step-by-step explanation:
Including 16% trip, she pays
100+16 = 116% of the cost
116/100 × 400
= 464
Answer:
Mary pay the movers $464.
400 x 0.16 = 64
400 + 64 = 464
please i need to get good grades
Answer:
47°
Step-by-step explanation:
angles x and 133 are supplementary, so they add up to 180°
subtract 133 from 180 to get 47
What single transformation was applied to quadrilateral A to get to quadrilateral B
Answer:
The answer is rotation.
What is the equation of the line that is perpendicular to the
given line and has an x-intercept of 6?
y=-3/4x+8
y=-3/4x+6
y=4/3x-8
y=4/3x-6
Answer:
i think it is th 3rd one
Step-by-step explanation:
Answer:
the answer is c)y=4/3x-6
Step-by-step explanation:
yayayayyayaya
2. The weather forecasts predicts a 25% chance of snow
tomorrow. What is the probability that it does not snow?
Answer:
75%
Step-by-step explanation:
Janine has a ribbon that is ⅚ foot long. She wants a piece ⅔ this size. How big will it be?
Answer:
1.25 ft long
Step-by-step explanation:
Answer:
6.66 in
Step-by-step explanation:
2/3 of 10 inches is
6.66
To estimate the mean score μ of those who took the Medical College Admission Test on your campus, you will obtain the scores of an SRS of students. From published information you know that the scores are approximately Normal with standard deviation about 6.3 . You want your sample mean ¯ x to estimate μ with an error of no more than 1.3 point in either direction.
(a) What standard deviation must ¯ x have so that 99.7 % of all samples give an ¯ x within 1.3 point of μ ? Use the 68 – 95 – 99.7 rule. (Enter your answer rounded to four decimal places.)
(b) How large an SRS do you need in order to reduce the standard deviation of
¯
x
to the value you found? (Enter your answer rounded to the nearest whole number.)
Answer:
a. 0.4333
b. 255
Step-by-step explanation:
The maximum Error E is 1.3
approximately normal test scores,
Standard Deviation, SD is 6.5
a).
Level of confidence = 99.7%
critical value of z for a two tailed test and 0.3% level of significance is 3
since the sample mean is within 0.5 of the true population mean
hence, the standard dev of mean is given by
[tex]Z_{\alpha}[\frac{\sigma}{\sqrt{n}} ]=E[/tex]
where E = 1.3
[tex]Z_{\alpha}=[/tex] 1.3
[tex]\frac{\sigma}{\sqrt{n}} =\frac{E}{Z_{\alpha}} \\\\\frac{\sigma}{\sqrt{n}} =\frac{1.3}{3}[/tex]
hence the Std of the mean is 0.4333 (to 4 d.p.)
b).
The sample size is computed as follows
making n the subject of formular of the above equation
[tex]\sqrt{n} =\frac{3\sigma}{1.3}} \\\\\sqrt{n} =\frac{3\times 6.5}{1.3}} \\\\n=(\frac{3\times 6.5}{1.3}})^2[/tex]
hence,
n = 255
Which solid has one rectangular base and four lateral faces in the shape of triangles
Answer:
a square i believe so I'm not sure
Answer: ist B, rectangular pyramid
Step-by-step explanation:
I what the other guy said and it was wrong.
If abdikadir can write 1275 words in 3 pages how many words can he write in 5 pages?
Answer:
He can write 2125 words
Step-by-step explanation:
We can use a ratio to solve
1275 words x word
------------------- = ------------
3 pages 5 pages
Using cross products
1275* 5 = 3x
Divide each side by 3
1275*5/3 = 3x/3
2125 =x
He can write 2125 words
Answer:
2,125 words
Step-by-step explanation:
1275/3 = 425 words per page
425 * 5 = 2,125 words
What is the function of the labeled structures?
Answer:A: last option
B: second option
C: third option
D: first option
Step-by-step explanation:
Nerve cells ( neurones )
The nervous system is made up of nerve cells called neurons. Most body cells are round but neurones are not. They are stretched out into long thin fibres that can be over a meter long. Nerve impulses travel along nerve fibre in only one direction. It's function is to carry nerve impulses.
Hope this helps you !!!!!
Real answer: A. Dendrites :Receive
messages
B. Axon : Conduct.
messages
C. Synaptic knob : they sent message to another neurones
Hope this helps you !!!!!
What are the wavelengths for X-rays with frequency 3 × 1018? 1 × 10–10 m 3 × 10–10 m 3 × 1026 m 9 × 1026 m
Answer:
[tex]Wavelength=\lambda=1\times 10^{-10}[/tex] mStep-by-step explanation:
Given that the wavelengths for X-rays with frequency [tex]3\times 10^{18}[/tex]
To find the wavelengths for the given X-rays:The distance between two peaks in a wave is called the wavelength.
The value of wavelength is equal to the wave velocity divided by the frequency.
That is written by
[tex]Wavelength=\lambda =\frac{v}{f}[/tex]
[tex]Wavelength =\frac{3\times 10^8}{3\times 10^{18}}[/tex]
[tex]=\frac{10^8}{10^{18}}[/tex]
[tex]=\frac{1}{10^{18}.10^{-8}}[/tex] (by using the property [tex]a^m=\frac{1}{a^{-m}}[/tex])
[tex]=\frac{1}{10^{18-8}}[/tex] (by using the property [tex]a^m.a^n=a^{m+n}[/tex])
[tex]=\frac{1}{10^{10}}[/tex]
[tex]=1\times 10^{-10}[/tex] m (by using the property [tex]\frac{1}{a^{m}}=a^{-m}[/tex])
∴ [tex]Wavelength=\lambda=1\times 10^{-10}[/tex] mAnswer:
a. 1 × 10^–10 m
Step-by-step explanation:
A bag contains 2 snickers bars, 8 twix bars, and 5 crunch bars. A candy bar is chosen, the replaced, then another is chosen. What is the probability of choosing a twix bar and then a crunch bar? (Please answer with a fraction and not a percentage)
2 + 8 + 5 = 15 total candy bars.
8 twix, so picking a twix would be 8/15
5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3
Probability of both: 8/15 x 1/3 = 8/45
The graph of r = -3 + 5cos(theta) is symmetric about the __________.
a.
y-axis only
c.
Origin only
b.
x-axis only
d.
No symmetry
Please select the best answer from the choices provided
A
B
C
D
Answer: B
Step-by-step explanation:
X axis only
The graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only
What is Symmetry?In mathematics, symmetry has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling.
What is Graph?A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense related.
Here,
The graph of r = -3 + 5cosθ is symmetric about the x axis only
Also when we plot the graph we can say that it is symmetric about x axis only.
Hence, the graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only
Learn more about Symmetry and Graph here
https://brainly.com/question/16180199
#SPJ2
Which of the following describes what happens when you change the a value in the equation shown below?
Answer:
Step-by-step explanation:
Changing the "a" value changes x-intercepts because when you distribute the "a" value to the binomials or the factored pairs to the right then the suitable x value which makes the quadratic equation also changes.
I don’t understand? Somebody please help
Answer:
X = -1/3, 1/3
Step-by-step explanation:
6x^2 - x = 1
(subtract 1 from both sides)
6x^2 - x - 1 = 0
(factor)
(6x - 3) (6x + 2)
(simplify)
(2x - 1) (3x + 1)
(Solve for x in each parentheses)
2x-1= 0 and 3x+1=0
X= -1/2 X= -1/3
Answer:
x=-1/2,-1/3
Step-by-step explanation:
6x²-x = 1 <- Rewrite
-1 -1 <- Subtract 1 from both sides
6x²-x-1 = 0
x²-x-6 = 0 <- Slide the x²'s coefficient over to the variable with no coefficient through multiplication
(x-3)(x+2)=0 <- Factor
(x-3/6)(x+2/6)=0 <- Divide the 6 back out and simplify
(x-1/2)(x+1/3)=0 <- Simplify
(2x-1)(3x+1)=0 <Bring the denominator in front of the x
2x+1 = 0 and 3x+1 = 0 <- Seperate the two and solve
-1 -1 -1 -1
2x = -1 and 3x = -1
x = -1/2 and x = -1/3
so
x=-1/2,-1/3
–2x + y = 3 2x – y = 4 Using elimination to solve this system results in the equation .
Answer:
1 = x and -2 = y
I am fairly happy with this answer
Answer:
0=7 just did it
Step-by-step explanation:
The cost of producing x bags of dog food is given by C(x) = 800 + 400 + 10x - x where 0 SX 55000. Find the marginal-cost function.
The marginal-cost function is c'(x)=
(Use integers or fractions for any numbers in the expression.)
Answer:
The marginal-cost function is;
c'(x)= (20x-1)/(2√(400 + 10x² - x))
Completed question;
The cost of producing x bags of dog food is given by C(x) = 800 + √(400 + 10x² - x) where 0≤x≤55000. Find the marginal-cost function.
The marginal-cost function is c'(x)=
(Use integers or fractions for any numbers in the expression.)
Step-by-step explanation:
The marginal-cost function is c'(x)= = dC(x)/dx
Where;
C(x) = 800 + √(400 + 10x² - x)
c'(x) = d(800 + √(400 + 10x² - x) )/dx
Using function of function rule of differentiation or chain rule;
c'(x) = (20x-1)×(1/2√(400 + 10x² - x))
c'(x) = (20x-1)/(2√(400 + 10x² - x))
The marginal-cost function is;
c'(x)= (20x-1)/(2√(400 + 10x² - x))
Final answer:
The marginal-cost function c'(x) is 9.
Explanation:
Marginal-cost function:
Given cost function: C(x) = 800 + 400 + 10x - x
Find derivative of C(x): C'(x) = 10 - 1 = 9
Therefore, the marginal-cost function is c'(x) = 9
Which expressions are equivalent to One-third + 8 d + StartFraction 5 Over 7 EndFraction? Check all that apply.
1 + 3 + 8 d + 5 + 7
8 d + one-third + StartFraction 5 Over 7 EndFraction
StartFraction 1 Over 7 EndFraction + 8 d + StartFraction 5 Over 3 EndFraction
One-third + StartFraction 5 Over 7 EndFraction + 8 d
3 + 8 d + 7
8 d + one-third + StartFraction 7 Over 5 EndFraction
StartFraction 5 Over 7 EndFraction + one-third + 8 d
Answer:
B, D, G
Step-by-step explanation:
I just took the test on edg.
Answer:
he is correct on edge
Step-by-step explanation:
Can someone make an equation for this pleasee
a)this is an arithmetic series
equation: 10+(n-1)d=360
note: 6hrs=60x6=360minuites
(b) 10+(n-1)d=360
n= no of days
d=common difference=2minutes
10+(n-1)2=360
(n-1)2=360-10
n-1=350/2
n-1=175
n=175+1
n=176