Answer:
19+23
Step-by-step explanation:
Write the equation for the line that goes through (3.18) and has a slope of 2.
Answer:
y=2x+12 or 18=2(3)+12
12=b
hope this helps =3
sorry if im wrong
Find the value of A, B and C, given that 2z^2 + z + C = A (z+1)^2 + B (z+1) + 4 for all values of z. Please show the step by step process. :)
2z² + z + C = A (z + 1)² + B (z + 1) + 4
Expand the right side completely and collect terms with the same power of z :
2z² + z + C = A (z² + 2z + 1) + B (z + 1) + 4
2z² + z + C = Az² + 2Az + A + Bz + B + 4
2z² + z + C = Az² + (2A + B)z + A + B + 4
Now match up terms on either side that have the same power of z. This gives
2 = A ................. (2nd power)
1 = 2A + B ......... (1st power)
C = A + B + 4 .... (0th power)
Solve for A, B, and C. The first equation gives A = 2 right away, so in the second equation we get
1 = 2*2 + B
B = -3
and in the third equation we get
C = 2 + (-3) + 4
C = 3
Can Anyone help me this is my last question for webwork?
9514 1404 393
Answer:
maximum: 12at x = 0Step-by-step explanation:
The x-term has even degree so is never negative. The x-term is subtracted from 12, so the maximum value of the function will be found where x=0. That value is 12 -0 = 12.
f(0) = 12 . . . . absolute maximum
Answer:
The function [tex]f(x)=12-6x^4[/tex] has an absolute maximum value of [tex]12[/tex] and this occurs at [tex]x $\ equals 0.[/tex]
Step-by-step explanation:
The maximum value of this function is at 12, because if you rewrite this function:
[tex]f(x)=-6x^4+12[/tex]The +12 is the k-value (the graph of this function is a parabola) of the vertex form of a quadratic. Just a reminder:
Vertex form of a parabola:
[tex]a(x-h)^2+k[/tex]You can see the 12 is the k-value. The k-value of the vertex form is the vertical shift of the parabola, meaning that this parabola is shifted 12 units upwards.
Since the parabola opens down (you can tell by the negative a-value [tex]-6[/tex]), there is a maximum value at the k-value, i.e. the vertical shift.
[tex]f(x)=-6x^4+12[/tex] has an absolute maximum value of [tex]12[/tex].
To find where the maximum value occurs at, the formula:
[tex]-\frac{b}{2a}[/tex]Tells us the x-value of the vertex of the parabola, whose y-value is the maximum value.
Using our rearranged equation, the a, b, and c-values are:
[tex]a=-6[/tex][tex]b=0[/tex][tex]c=12[/tex]Plug in the a and c values into the formula to find the x-value of the maximum point:
[tex]-\frac{b}{2a}[/tex][tex]-\frac{(0)}{2(-6)}=0[/tex]Therefore, the absolute maximum value of 12 occurs at x = 0.
whats the decimal of -3 13/20
Step-by-step explanation:
-3 13/20
-3 65/100
-3 0.65
= -3.65
What is the point slope form of (8,5) and (3,4)?
Answer:
(-2,-4) or (2,4) depending on which one you start on.
Step-by-step explanation:
if you start from the highest point it is (-2,-4)
And if you start from the lowest point (2,4)
15/16 pi radians in degrees
Answer:
960 degrees
Step-by-step explanation:
16pi/3 times 180/pi
16/3 times 180
16 times 60= 960
hope this helps!!
Answer:
168
Step-by-step explanation:
e2020
ABCD=FGHI. What is the measure of <1 and <2?
Answer:
Angle 1 = 95°, and Angle 2 = 60°
This is due to the definition of congruent polygons, where the corresponding angles, and sides are equivilent just as it is ordered.
Tami takes the MCAT because she plans to apply to Medical School, and Vu takes the LSAT because he plans to apply to Law School. Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points. Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. If Tami earns 524.2 points on the MCAT and Vu earns 171.1 points on the LSAT, who performed better on their respective test?
a. Tami
b. Vu
c. Both Tami and Vu performed equally well.
d. It's impossible to compare scores on two totally different tests, so this question cannot be answered.
Answer:
c. Both Tami and Vu performed equally well.
Step-by-step explanation:
To solve this question, we use z score
The formula for calculating a z-score is is z = (x-μ)/σ
where x is the raw score
μ is the population mean
σ is the population standard deviation.
a) For Tami , who took MCAT
We are told:
Scores on the MCAT follow a Normal distribution with a mean of 505.6 points and a standard deviation of 9.3 points.. If Tami earns 524.2 points on the MCAT.
x = 524.2 points
μ = 505.6 points
σ = 9.3 points
z = 524.2 - 505.6/9.3
= 2
The z score for Tami is 2
For Vu, who took LSAT
We were told:
Scores on the LSAT follow a Normal distribution with a mean of 150.7 points and a standard deviation of 10.2 points. Vu earns 171.1 points on the LSAT.
x = 171.1 points
μ = 150.7 points
σ = 10.2 points
z = 171.1 - 150.7/10.2
z = 2
The z score for Vu is also equal to 2
Therefore, we can say the bout Tami and Vu performed equally well.
Option c is the correct answer.
Who got the answer for 3,7 and 9
Answer:
i did
Step-by-step explanation:
-14+6b +7-2b=1+5b what is answer?~PLEASE SHOW WORK 45 POINTS
Answer:
b=-8
Step-by-step explanation:
Sorry I don't have time to show work right now and write it down but this is the answer.
Answer:
b=8
Step-by-step explanation:
1.1 Pull out like factors :
-8 - b = -1 • (b + 8)
Solving a Single Variable Equation
2.1 Solve : -b-8 = 0
Add 8 to both sides of the equation :
-b = 8
Multiply both sides of the equation by (-1) : b = -8
m_ZBC =2x+8, m_ABC=21x-5,
and m ABZ=139° Find m ABC.
to
z
B
Answer:
163°
Step-by-step explanation:
Assuming that BZ is a ray inside angle ABC:
2x+8+139=21x-5
8+139+5=21x-2x
152=19x
8=x
m<ABC=21x-5=
21(8)-5=
168-5=
163
A line has a y-intercept of 4 and a slope of 7. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=7x+4
Step-by-step explanation:
1. Un arquitecto construirá una casa de interés social en un área rectangular de 52 m². El
frente será el ancho de la casa y el largo será dos veces el ancho.
a.
Traza una figura geométrica que represente el terreno
b.
¿Cuál es la variable con la que representarías el ancho?
Answer:
Definamos:
A = Ancho
L = Largo.
Sabemos que el área es rectangular, y para un rectángulo de ancho A y largo L, el área es:
Área = A*L.
Y sabemos que L = 2*A.
a) Una imagen se encuentra abajo.
b) Como podemos escribir la variable L en términos de la variable A, podemos escribir:
Área = A*L = A*(2*A) = 2*A^2
Entonces la variable que usamos es el ancho.
Ahora podemos resolver el problema:
52m^2 = 2*A^2
52m^2/2 = 26m^2 = A^2
A = √(26m^2) = 5.1 m
Entonces el largo es:
L = 2*A = 2*5.1m = 10.2 m
Four students spent $12 on school lunch. At this rate, find the amount 10 students would spend on the same lunch.
Answer:
it's $30 I just know trust meO_o
Step-by-step explanation:
have an amazing day luv
Answer:
10 students would pay for lunch with $30.
Step-by-step explanation:
This is how I know $30 is the correct answer:
1. To figure out how much money it would cost for 1 student I would take the $12 the four students paid for lunch and divide it by 4 so we would know the exact cost for one students lunch (12/4=3 or $3)
2. Now we know $3 is the cost for 1 student. We can now multiply the $3 by 10 (students) so we can get the cost for 10 lunches (3(10)=30 or $30)
3. We got our final answer of $30=10 students lunches.
I hope this helps:)
Rewrite 11/40 as a decimal number
Answer:0.275
Step-by-step explanation:
pls help me what’s the answer
Answer:
D infinity
Step-by-step explanation:
As x approaches negative infinity, the graph is going up indefinitely, so y approaches infinity.
1) Paula buys 5 sandwiches. Each sandwich is the same price. She has a coupon for $2 off the entire purchase. She pays a total of $50.
• Which equation can be used to find the price, x, of one sandwich?
5(x + 2) = 50
5x + 2 = 50
5(x − 2) = 50
5x – 2 = 50
Answer:
5x - 2 = 50
Step-by-step explanation:
The coupon takes $2 OFF the entire purchase, so we eliminate answers A and B. If we take away $2 off the price of each sandwich, then that would be a $10 coupon, so we eliminate C. The only answer left is D, so D is the answer.
Answer:
5x - 2 = 50
I READY!!!
holpe it help
f(x) = -x? – 10x
Find f(-7)
Answer:
f(-7) = 21
Step-by-step explanation:
f(-7)= - (-7)^2 - 10 (-7) = 21
How do you do this question?
Answer:
Diverges
Step-by-step explanation:
3/(4ⁿ) = 3 (¼)ⁿ is a geometric series with r = ¼, which converges.
7/n is a harmonic series, which diverges.
The sum of a convergent series and a divergent series is divergent.
Evaluate this expression then round your answer to two decimal places: 7^4÷7^6=
will give brainliest ! 15 points please help <3
Answer:
1. C
2. G, H
3. A, H
4. x=-4.5
5. B, D, F, G
Step-by-step explanation:
pls Mark Brainliest
which expression is equivalent to -1/2(3- 2/5)
A. -3/2 - 1/5
B. -3/2 + 1/5
C. -3 1/2 - 1/5
D. -3 1/2 + 1/5
Answer: -3 1/2 - 1/5
help help thanks and PLEASE
Answer:
ion know if imma be right or wrong but im guessing that #1 is C & #4 is either 6 or 7
Step-by-step explanation:
Bc both of the top part of the trapezoids look equal to each other but i could be wrong hopefully this helps
use long division by dividing 78 and 3
Answer:
26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 3 on the left side and the dividend 78 on the right side like this:
3 ⟌ 7 8
Step 2:
The divisor (3) goes into the first digit of the dividend (7), 2 time(s). Therefore, put 2 on top:
2
3 ⟌ 7 8
Step 3:
Multiply the divisor by the result in the previous step (3 x 2 = 6) and write that answer below the dividend.
2
3 ⟌ 7 8
6
Step 4:
Subtract the result in the previous step from the first digit of the dividend (7 - 6 = 1) and write the answer below.
2
3 ⟌ 7 8
- 6
1
Step 5:
Move down the 2nd digit of the dividend (8) like this:
2
3 ⟌ 7 8
- 6
1 8
Step 6:
The divisor (3) goes into the bottom number (18), 6 time(s). Therefore, put 6 on top:
2 6
3 ⟌ 7 8
- 6
1 8
Step 7:
Multiply the divisor by the result in the previous step (3 x 6 = 18) and write that answer at the bottom:
2 6
3 ⟌ 7 8
- 6
1 8
1 8
Step 8:
Subtract the result in the previous step from the number written above it. (18 - 18 = 0) and write the answer at the bottom.
2 6
3 ⟌ 7 8
- 6
1 8
- 1 8
0
How long is the blue ribbon if the red ribbon is 12 inches
Answer:
can I have more info plz
Within six (6) weeks, four (4) colleagues in your department will make an important project. After the project, they were given Php100,000.00 as prize. Give the following amount of contribution each of their member exerted in making the project. How should the prize be divided to the members?
• Member A has made 25% of the total project.
• Member B has made 40% of the total project.
• Member C has made 25% of the total project.
• Member D has made 10% of the total project.
and why did you come up with your decision?
Answer:
The prize is p100,000.00, and we can define this as the 100%.
Now, we could say:
"Each member receives the same percentage of the price as the total percentage of the project that he/she did"
Then:
Member A did 25% of the total project.
Then he gets an amount X.
X = 25%
p100,000.00 = 100%
We can solve this system for X as:
X = (25%/100%)*p100,000.00 = p25,000.00
Now we can use the samme aproach for the other members:
Member B did 40% of the total project:
Then he gets an amount X.
X = 40%
p100,000.00 = 100%
X = (40%/100%)*p100,000.00 = p40,000.00
Member C did 25% of the total project.
Then he gets an amount X.
X = 25%
p100,000.00 = 100%
X = (25%/100%)*p100,000.00 = p25,000.00
Member D did 10% of the total project.
Then he gets an amount X.
X = 10%
p100,000.00 = 100%
X = (10%/100%)*p100,000.00 = p10,000.00
Now, we also could divide the price evenly between the four members:
p100,000.00/4 = p25,000.00
So they all get the same amount, but i think that the actual solution to this problem is the other one.
Makayla plotted two points, (0, 0) and (3, 33), on a coordinate grid. Noah says that she is graphing a proportional relationship. Is Noah correct? Explain.
Answer:
Noah is correct.
Step-by-step explanation:
Noah is correct, a proportional relationship can be formed by observing two conditions:
1) Knowing at least two distinct collinear points on coordinate grid.
2) Ratio between dependent and independent variables must be the same on each point.
3) Relationship must include origin.
Makayla used two points: (0, 0) and (3, 33). Therefore, she observed all conditions described above:
Condition 1: Makayla plotted (0,0) and (3,33). According to Geometry, two distinct point on coordinate grid are always collinear.
Condition 2: The proportionality ratio is:
[tex]k = \frac{33}{3}[/tex]
[tex]k = 11[/tex]
Condition 3: The relationship included origin: (0, 0).
Taylor can clean pools at a constant rate of 25 pools per hour. What is the ratio of pools to hours?
Answer:
25:1
Step-by-step explanation:
Pools:hours25:1I hope this helps!
Answer:
2:6
Step-by-step explanation:
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A race car can complete 8 laps in
1
3
hour. At this rate, how many hours will it take the race car to complete 1 lap?
Answer: It take 6.66 min to complete one lap.
A car company has three sales people, Anna, Mustapha and Joshua.
During March, Anna sold 21 cars, Mustapha sold 12 cars and Joshua sold 15 cars.
Write down and simplify the ratio of the number of cars they sold during March.
:
Anna : Mustapha : Joshua =
..........
Answer:
7:4:5
Step-by-step explanation:
21:12:15
7:4:5
Answer:
answer you have chosen in your answer booklet. ... Motor Vehicle's at 5% using the straight line method. Required: (a) ... Note 3: Selling and distribution expenses. K000.