Let f(x)=x^2+4x+3 for what values of x will satisfy the equation f(x)=8
How to solve this. A Japanese train can travel 321km in 3hours.At that rate, how could it travel in 5hours?
Answer:
535km
Step-by-step explanation:
train speed = 321/3 km per hour = 107kmh
in 5 hours, travel distance = speed x time = 107 x 5 = 535km
answer please i need one fast
Using negative numbers, what is 4+(-5) ?
Answer:
-1
Step-by-step explanation:
4+(-5) is basically 4-5 which is -1
simple interest = Pxrxt
Joe borrowed $900 from Sam for six months. How much will Sam earn if he charges joe a simple interest rate of 4 percent?
Answer:
$18.Hope it helps.....
A bottle was tossed 30 times and recorded whether it landed on its base or on its side. What is the experimental probability that the bottle landed on the base?
a) 3/10
b) 11/30
c) 9/2
d) 3/7
The experimental probability that the bottle landed on its base by the data recorded is; 3/10.
What is the experimental probability that the bottle landed on the base?It follows from the frequency recorded for the bottle landing on it's base and side that; base = 9 and side = 21.
The total possible outcome is 30.
On this note, the required probability is; 9/30 = 3/10.
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Answer to number 6 please
Answer:
Step-by-step explanation:
C
A computer generates 80 integers from 1 to 8 at random. The results are recorded in this table.
Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred 14 16 10 12 4 7 6 11
What is the experimental probability of the computer generating a 2 or a 5?
9%
15%
20%
25%
WILL GIVE BRAINLIST TO THE CORRECT ANSWER!
Answer:
25%
Step-by-step explanation:
NO LINKS!! PART 3. Please help me with these graphs
Answer:
[tex]\textsf{13)} \quad y=(x+5)^2+4[/tex]
[tex]\textsf{14)} \quad y=-\dfrac{1}{2}(x-2)^2-3[/tex]
Step-by-step explanation:
Vertex form of a parabola:
[tex]y=a(x-h)^2+k[/tex] where (h, k) is the vertex
Question 13From inspection of the graph, the vertex is (-5, 4)
[tex]\implies y=a(x+5)^2+4[/tex]
To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.
Using point (-4, 5):
[tex]\implies a(-4+5)^2+4=5[/tex]
[tex]\implies a(1)^2+4=5[/tex]
[tex]\implies a+4=5[/tex]
[tex]\implies a=1[/tex]
Therefore, the equation of the parabola in vertex form is:
[tex]y=(x+5)^2+4[/tex]
Question 14From inspection of the graph, the vertex is (2, -3)
[tex]\implies y=a(x-2)^2-3[/tex]
To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.
Using point (0, -5):
[tex]\implies a(0-2)^2-3=-5[/tex]
[tex]\implies a(-2)^2-3=-5[/tex]
[tex]\implies 4a-3=-5[/tex]
[tex]\implies 4a=-2[/tex]
[tex]\implies a=-\dfrac{1}{2}[/tex]
Therefore, the equation of the parabola in vertex form is:
[tex]\implies y=-\dfrac{1}{2}(x-2)^2-3[/tex]
#1
Vertex at (-5,4)Equation
y=a(x+5)²+4As there is no y inetercept present and the function is same as general quadratic equation y=x^2 just change in coordinates a=1
Final equation
y=(x+5)²+4#2
Vertex (2,-3)y=a(x-2)²-3
Use (4,-5)
-4=a(4-2)²-3-1=a(2)²4a=-1a=-1/4Equation
y=-1/4(x-2)²-3there are 5 green,7blue and 3 red pens. if one ball pen is chosen at random, then what is the probability of getting a red pen??
Answer:
1/5
Step-by-step explanation:
there are 15 pens totally, there are 3 red pens.
probability-> 3/15=1/5
Tell me which colors the answer is! QUICK You"LL GET A CHANCE TO GET POINTS!
Answer: I think it’s $15.71
Step-by-step explanation:
Answer:
red I think
Step-by-step explanation:
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.52 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 1.23 and 3.81?
Answer:
Using the Empirical Rule, we find that .997 (99.7%) of students have grade point averages that are between 1.23 and 3.81.
Step-by-step explanation:
Calculate the z-scores corresponding to a GPA of 1.23 and 3.81.
[tex]\displaystyle z=\frac{1.23-2.52}{.43} = \frac{-1.29}{.43}= -3[/tex] [tex]\displaystyle z=\frac{3.81-2.52}{.43}= \frac{1.29}{.43} =3[/tex]We want to find the area between the z-scores of -3 and 3.
The Empirical Rule tells us that 99.7% of the data lies within three standard deviations under the normal curve.
Therefore, the area between -3 < z < 3 is about .997, or around 99.7%.
Please show your work! I'll give you brainliest as well lol, thanks!
To know the area of a regular hexagon:
⇒ must know the formula:
[tex]Area = \frac{3\sqrt{3} }{2} s^2[/tex]
s: length of the sideConsider the information given:
Length of side ⇒ 5 cmLet's solve:
[tex]Area=\frac{3\sqrt{3} }{2} (5)^2=64.95cm^2[/tex]
Answer: 65.0 cm²
Hope that helps!
Answer:
64.1 cm²
Step-by-step explanation:
Central Angle = 360 °
∴ ∠AOB = 360 ° / 12
⇒ Tan 30° = AB/ 4 · 3
⇒ AB = 4.3 tan 30°
∴ (ΔAOB) = 1/2 × AB × OB
= 1/2 × 4.3 tan 30° × 4.3
= 5.34 cm
∴ Area of regular hexagon = 12 (a⊃(ΔAOB))
= 12 (5.34 cm²)
= 64.1 cm²
What are the zeros of the quadratic function f(x) = 6x- + 12x-7?
Answer:
Number 1
Step-by-step explanation:
Vertex is (−1,−13)
[tex]~~~~~6x^2 +12x -7 =0\\\\\implies x^2 +2x - \dfrac 76=0\\\\\implies x^2+2x = \dfrac76\\\\\implies x^2 +2x +1 = \dfrac 76 +1\\\\\implies (x+1)^2 = \dfrac{13}6\\\\\implies x+1 = \pm \sqrt{ \dfrac{13}6}\\\\\implies x = -1 \pm\sqrt{\dfrac{13} 6}\\\\\text{Hence,}~ x = -1 +\sqrt{\dfrac{13} 6}~~ \text{and}~~ x = -1-\sqrt{\dfrac{13} 6}[/tex]
How many matchs played in a 5 team round robin
[tex]\huge[\sum_{k=0}^{4}(k)][/tex] [tex] = 0+1+2+3+4=\boxed{10} [/tex]
=[tex]\huge(\binom {5}{2}) [/tex] [tex] =(5!)/(3! \times 2!) = (5\times 4)/(2)= \boxed{10}[/tex]
Since there are 5 teams..
The number of matches played in a 5 team round Robin is 10.
How does round robin tournament work for 5 teams?A round-robin tournament is a sports competition where each player or team competes against every other player or team; each contestant faces off against the other contestant in turn. A round-robin tournament differs from an elimination tournament in that participants are eliminated after a set number of losses.
From 5 teams we choose 2 to form combinations (need combinations of 2 different teams to play a match).
Here, 5C2 = 5!/2!(5-2)!
= 5×4×3×2!/2!×3!
= 10
Hence, the number of matches played in a 5 team round Robin is 10.
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A number a is a root of P(x) if and only if the remainder, when dividing the
polynomial by x + a, equals zero.
O A. True
O B. False
Answers is false
Answer: False
Reason: It should be x-a instead of x+a
2. Determine the cost to cover the top of the fire pit with a piece of sheet metal that costs $25 per square foot. (6 points)
3. Determine the cost to lay down pebbel in the seating area one bag of pebbels covers 5 ft² and costs $8.99
A 2-column table with 6 rows. The first column is labeled x with entries negative 1, 0, 1, 2, 3, 4. The second column is labeled f of x with entries negative 9, negative 8, negative 7, 0, 19, 56.
What is the x-intercept of the continuous function shown in the table?
(0, –8)
(0, 2)
(–8, 0)
(2, 0)
Answer: i think option c
Step-by-step explanation:
my last question pls don’t lie
Answer:
3.6 in
Step-by-step explanation:
1/2 ft= 6in
1/5 ft= 2.4 in
so 6-2.4= 3.6 in
Hope this helps :)
a researcher for an airline interviews all of the passengers on five random
Random sampling is the selection of clusters first from the community. Then the correct option is C.
What is random sampling?Random sampling is the method of selecting the subset from the set to make a statical inference.
A researcher for an airline interviewed all of the passengers on five randomly selected flights.
Cluster sampling is a strategy in which the research splits the overall population into distinct clusters (groups).
Then random sampling is the selection of clusters first from the community.
More about the sample method link is given below.
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PLEASE HELP
For the right triangle below, find the measure of the angle.
Figure is not to scale.
use tan since you are given the opposite and adjacent sides
tan θ = [tex]\frac{opp}{adj}\\\\[/tex]
tan θ = [tex]\frac{2}{12}[/tex]
use the inverse of tan to find the angle
θ = [tex]tan^{-1}(\frac{2}{12})[/tex]
θ = 9.462322208...
θ = 9.46°
Use substitution to solve the system.
3x + 5y = 23
x = 3y - 11
Answer:
(1,4)
Step-by-step explanation:
Since x is already "alone", you can plug 3y-11 into the x-value for the first equation to get 3(3y-11)+5y=23. Now distribute 3 to the numbers in the parentheses. In the end, the solution to this is (1,4).
Answer:
x=1, y=4
Step-by-step explanation:
Substitute x = 3y - 11
3(3y - 11) + 5y = 23 |
Simplify
|14y – 33= 23 |
Isolate y for 14y-33=23
y=4
For x =3y - 11
Substitute y = 4
X=3• 4- 11
Simplify
X=1,
Help solve this problem please?
Answer: z=29 x=119 y=61
Step-by-step explanation:
A ray is 180 degrees and you can go from there. Hope this helps!
Pls kindly help, it's urgent
2. Rewrite the expression below using the Associative Property of Multiplication: (ab)c
A. (ba)c
B. c(ab)
C. abc
D. a(bc)
E. All of the above
If x = 3 (y + w) minus 1 what is the value of w in terms of x and y?
Answer:
Step-by-step explanation:
Discussion
The object of this is make w by itself on one side of the equation.
Equation
x = 3 (y + w) - 1 Add 1 to both sides of the equation.
x + 1 = 3(y + w) - 1 + 1 Combine
x + 1 = 3(y + w) Remove the Brackets
x + 1 = 3y + 3w Notice y and w are affected by the 3. Subtract 3y
x + 1 - 3y = 3y-3y + 3w Combine
x + 1 = 3w Divide both sides by 3
(x +1)/3 = 3w/3
(x + 1)/3 = w
Answer: (x + 1)/3 = w
You are asked to find the space occupied by the shape below. Will you calculate its area or volume? A cube shape. area volume
Answer:
volume
Step-by-step explanation:
the amount of space enclosed by an object or shape, how much 3-dimensional space
P(S) = 3/5
P(T) = 1/3
If S and T are mutually exclusive events, find P(S or T).
Answer:
14/15
Step-by-step explanation:
P(S or T) = P(S) + P(T) = 3/5 + 1/3
= 9/15 + 5/15 = 14/15
PLEASE QUICK ANSWER!! EXPLAIN WORK!!! FOR BRAINIEST!
Answer:
x= y−2/3
Step-by-step explanation:
1 Subtract 2 from both sides.
y-2=3x
2 Divide both sides by 3.
y−2/3 =x
3 Switch sides.
x= y−2/3
While holding her puppy, Tammy steps on a scale. The scale reads 127 pounds. Alone, Tammy weighs 112 pounds. Write and solve an addition equation to find the weight of Tammy's puppy. Use the variable P.