Answer:
The number that goes in place of the question mark is 2.
Step-by-step explanation:
Let's solve it!
3x² + 12x - 24 = 0
First we can factor 3 out of each term:
x² + 4x - 8 = 0
Now we'll add 12 to both sides to complete the square:
x² + 4x + 4 = 12
And finish it off:
(x + 2)² = 12
So the answer to the question is 2
Bonus:
We can also now solve this for x:
(x + 2)² = 12
x = √12 - 2
x = 2√3 - 2
x ≈ 2 × ±1.732 - 2
x ≈ 1.464, -5.464
12. In a parking lot, there is an equal number of white red, blue, green and
yellow cars. How many cars could possibly be in the parking lot?
O 53
O 54
O 55
O 56
Answer:
56
Step-by-step explanation:
the number of colour variations of cars is 4.
therefore the possible number of cars should be divisible by 4.
of the given answers only 56 is divisible by 4.
You need a 85% alcohol solution. On hand, you have a 60 mL of a 30% alcohol mixture. How much pure
alcohol will you need to add to obtain the desired solution?
You will need
mL of pure alcohol
to obtain
mL of the desired 85% solution.
These tables show equivalent ratios. The value missing in each table is replaced with X. Choose ALL tables in which 12 replaces X.
(please answer)
POINT:15
Answer:
a
Step-by-step explanation:
Answer:a and b
Step-by-step explanation:
WILL MARK BRAINLEST
Jim earns $41.25 in 5 hours. Susan earns$30.00 in 4 hours. Pierre’s hourly rate is lessthan Jim’s, but more than Susan’s. What is hishourly rate?
A.$6.50
B.$7.35
C.$7.75
D.$8.25
Answer:
C
Step-by-step explanation:
i it has to be less than gems in more than susans, Jim is making 8.25 per hour, and Susan is making 7.50 per hour.
so the only possible answer would be 7.75
hope this helps!!!
Answer:
C.
Step-by-step explanation:
Jim earns $8.25 every hour
Susan earns $7.5 every hour
So Pierre's hourly rate has to be more than $7.5 but less than $8.25, so therefore Pierre's hourly rate is $7.75 because it is less than $8.25 but more than $7.5
Which is the graph of the sequence defined by the function f(x + 1) = Three-fifthsf(x) when the first term in the sequence is 375?
On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).
On a coordinate plane, 4 points are plotted. The points are (0, 375), (1, 225), (2, 135), (3, 81).
On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 75), (3, 15), (4, 3).
On a coordinate plane, 4 points are plotted. The points are (0, 375), (1, 75), (2, 15), (3, 3).
Answer: On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).
Step-by-step explanation:
We have the relation:
f(x + 1) = (3/5)*f(x)
such that the first term is 375
Then:
f(1) = 375.
Using the above relation, we have that:
f(1 + 1) = f(2) = (3/5)*f(1) = (3/5)*375 = 225
Then we have the pair (2, 225)
The next term is:
f(2 + 1) = f(3) = (3/5)*f(2) = (3/5)*225 = 135
Then we have the pair (3, 135)
the next term is:
f(3 + 1) = f(4) = (3/5)*f(3) = (3/5)*135 = 81
Then we have the pair (3, 81)
Then the correct option is the first one; On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).
Answer:
First graph
Did it on egd :)
For the function f(x)=ax^3+bx^2-5x+9, determine the values of a and b so that f(-1)=12 and f'(-1)=3
If
f(x) = ax ³ + bx ² - 5x + 9
then
f '(x) = 3ax ² + 2bx - 5
Given that f (-1) = 12 and f '(-1) = 3, we get the system of equations
-a + b + 5 + 9 = 12
3a - 2b - 5 = 3
or
-a + b = -2
3a - 2b = 8
Multiply through the first equation by 2 and add it to the second one to eliminate b and solve for a :
2(-a + b) + (3a - 2b) = 2(-2) + 8
-2a + 2b + 3a - 2b = -4 + 8
a = 4
Substitute this into the first equation above to solve for b :
-4 + b = -2
b = 2
Answer is a = 4, b = 2.
First derivative of an equation:
The derivative formula is one of the basic concepts used in calculus and the process of finding a derivative is known as differentiation. The derivative formula is defined for a variable 'x' having an exponent 'n'. The exponent 'n' can be an integer or a rational fraction. Hence, the formula to calculate the derivative is:
[tex]\frac{d}{dx} x^{n} = n x^{n-1}[/tex]
(Given)
[tex]f(x) = ax^{3} + bx^{2} - 5x + 9[/tex]
And f'(x) we get , [tex]f'(x) = 3ax^{2} + 2bx-5[/tex]
Now, also given f(-1) = 12
=> [tex]f(-1) =a (-1)^{3} + b(-1)^{2} - 5 (-1) + 9[/tex]
=> 12 = -a + b +5 + 9
=> a = b + 2 ------( 1 )
Also given, f'(-1) = 3.
i.e., [tex]3 = 3a(-1)^{2} + 2b(-1) - 5[/tex]
3 = 3a -2b -5
From eq - (1) we can replace a.
3 = 3(b + 2) - 2b - 5
3 = 3b + 6 - 2b - 5
b = 2.
a = 4.
Learn more about derivative of equation here:
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This is kinda easy ig helpppp tho
Help fast it's worth 20 points if u answer
Answer: the answer is c
Step-by-step explanation:
Identify the polynomial.
x3y3
trinomial
monomial
binomial
where does the 2 go if the 3 goes with the 6 and the 8
Answer:
My geomatry teacher doesn't even know
Step-by-step explanation:
Line segment ON is perpendicular to line segment ML, and PN = 10.
Circle O is shown. Line segments M O, N O, and L O are radii. Lines are drawn to connects points M and N and points N and L to form chords. A line is drawn from point M to point L and intersects line O N at point P. The length of O M is 25 and the length of P N is 10. Angle O P L is a right angle.
What is the area of triangle MOL?
200 square units
250 square units
300 square units
500 square units
i think its c 300
Answer:
C. 300 square units
Step-by-step explanation:
Answer:
it´s c edg 2021
Step-by-step explanation:
write the equation below in words
z=(8-3)+10
Answer:
Z equals open parentheses eight minus three close parentheses plus ten
Step-by-step explanation:
Where is 2/4 on the number line with a number line of on 3 ticks?
Show that n(n – 1)(n + 1) + 6n ≡ n3 + 5n
3. If one side of the equation 23+43 = 66 is multiplied by 3, what needs to be done to the other side of the equation to keep the sides equal?
Answer: multiply the other side by 3 also
Step-by-step explanation:
What happens to one side must also happen to the other side. This is the only way to keep equations equal when changing constants and variables
Solve and graph the inequality 16x < -64
Answer:
x < -4
Step-by-step explanation:
-64/16 = -4
What is sinK?
A. 12/13
B.13/12
C.5/13
D.5/12
Answer:
A. 12/13
Step-by-step explanation:
Remember SOH, CAH, TOA.
In this situation, the function is sine so sine= opposite/hypotenuse.
The side opposite of K is 12.
The hypotenuse is the longest side so it will be 13.
Therefore, sineK= 12/13(a)
Answer:
12/13
Step-by-step explanation:
A national consumer agency selected independent random samples of 45 owners of newer cars (less than five years old) and 40 owners of older cars (more than five years old) to estimate the difference in mean dollar cost of yearly routine maintenance, such as oil changes, tire rotations, filters, and wiper blades. The agency found the mean dollar cost per year for newer cars was $195 with a standard deviation of $46. For older cars, the mean was $286 with a standard deviation of $58.
Required:
What represents the 95 percent confidence interval to estimate the difference (newer minus older) in the mean dollar cost of routine maintenance between newer and older cars?
Answer:
The 95 percent confidence interval to estimate the difference (newer minus older) in the mean dollar cost of routine maintenance between newer and older cars is (-$113.44, -$68.56)
Step-by-step explanation:
Subtraction of normal variables:
When we subtract the normal distributions, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
45 owners of newer cars (less than five years old). The agency found the mean dollar cost per year for newer cars was $195 with a standard deviation of $46
This means that:
[tex]\mu_N = 195[/tex]
[tex]s_N = \frac{46}{\sqrt{45}} = 6.8573[/tex]
40 owners of older cars (more than five years old). For older cars, the mean was $286 with a standard deviation of $58.
This means that:
[tex]\mu_O = 286[/tex]
[tex]s_O = \frac{58}{\sqrt{40}} = 9.17[/tex]
Subtaction:
Sample mean:
[tex]\mu = \mu_N - \mu_O = 195 - 286 = -91[/tex]
Standard error:
[tex]s = \sqrt{s_N^2 + s_O^2} = \sqrt{6.8573^2+9.17^2} = 11.45[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = zs[/tex]
In which s is the standard error.
So
[tex]M = zs = 1.96*11.45 = 22.44[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is -91 - 22.44 = -$113.44
The upper end of the interval is the sample mean added to M. So it is -91 + 22.44 = -$68.56
The 95 percent confidence interval to estimate the difference (newer minus older) in the mean dollar cost of routine maintenance between newer and older cars is (-$113.44, -$68.56)
Priya has completed 9 exam questions this is 60% of the questions on the exam. Write an equation representing this situation. Explain the meaning of any variables you use
Answer:
9=0.6q where q is the number of questions on the exam.
Step-by-step explanation:
help guyss willmark as brainiest
Answer:y+2=7/3(x-2)
Step-by-step explanation:
You plug the x, y and the slope on the point-slope formula, which is y-y1=m(x-x1)
Y1 is -2, x1 is 2 and slope(m) is 7/3
Answer: y+2=7/3(x-2)
Step-by-step explanation: I used a coordinate plane
Plz mark me brainliest
find the axis symmetry and vertex. f(x)=-1/2x2-x find the domain and range.
Answer:
the easiest way to get these numbers is to graph the function, i use desmos.
Step-by-step explanation:
the axis of symmetry is -1
the vertex is -1, 0.5
the domain is all real numbers
the range is all real numbers that are <= 0.5
Find the volume of the composite figure. First, find the volume of the triangular prism. Triangular prism Volume = [?] ft 8 ft Rectangular prism Volume = [ ] ft 10 ft Total Volume of Composite Figure = [ ] ft 14 ft 10 ft
Answer:
1440ft^3
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
i already did it
Calculate the area of a dart which hits the dartboard with a force of 10 N and pressure of 2000 N/cm^2
Answer:
pressure=force/area
2000. ×area =10
area. =10/2000
area =0.005cm²
Find the slope of the line
Answer:
the answer is 0
Step-by-step explanation:
How many hundreths are equivalent to three-quaters
Answer:
7.5 hundredths (7 hundredths and 5 tenths) equals 3/4
Step-by-step explanation:
Answer:750 hundreths
Step-by-step explanation: I not sure
12
13
Rob paid $50.15 for two pairs of jeans, which include a 15% discount.
What was the price of one pair of jeans before the discount was added?
Answer:
$29.50
Step-by-step explanation:
The price that Rob paid includes a 15% discount. This means that Rob paid 85% of the original price.
100% - 15% = 85%
Divide the price Rob paid by the percentage the price is of the total.
85% = 0.85
50.15/0.85 = 59
Now, divide the total price by 2 so that you can find the price of one pair of jeans.
59/2 = 29.50
The price of one pair of jeans is $29.50
How much would you need to deposit in an account now in order to have $2000 in the account in 15
years? Assume the account earns 2% interest compounded monthly.
4000 mcmcnxmamnxmxmnxnxns
Can you help me please here is the image
Answer: D all of the above
Step-by-step explanation:
A. you can see that the majoritie of the area is dessort becuase of the long expance of lack of vegitation and water
B. Because there is no other water sourses the cities would have to be along water
C. Along the nile river is vegitation
D. Must be D.
Which of the following represents a function? HELP
Help with this lesson. thank you for those who take the time to help me out.
Answer:
58 mi^2.
Step-by-step explanation:
We can split this up into 2 rectangles and 1 triangle.
Height of the triangle = 4 + 2 + (12-11)
= 7.
Total area
= 2*12 + 2*10 + 1/2 * 4 * height of the triangle
= 24 + 20 + 1/2 * 4 * 7
= 44 + 14
= 58 mi^2.