What is the yintercept of the function, represented by the table of values below?
A. 9
B. 3
C. 6
D. 12
Answer:
A. 9
Step-by-step explanation:
First find the slope (m) using two given pairs of values form the table, say (1, 6) and (2, 3):
Slope (m) = change in y/change in x
Slope (m) = (3 - 6)/(2 - 1) = -3/1
Slope (m) = -3
Next, substitute (1, 6) = (x, y) and m = -3 into y = mx + b and solve for y-intercept (b).
Thus:
6 = -3(1) + b
6 = -3 + b
Add 3 to both sides
6 + 3 = -3 + b + 3
9 = b
b = 9
y-intercept = 9
ASAP!!!!!! SHOW WORK!!!! Thank you
Answer:
y = -6Step-by-step explanation:
If the three points are collinear, the slopes of RS and ST are same:
m(RS) = (4 - 8)/(1 + 1) = -4/2 = -2m(ST) = (y - 4)/(6 - 1) = (y - 4)/5Since the sloes are equal we have the following equation:
(y - 4)/5 = -2y - 4 = -10y = -10 + 4y = -6Slopes must be equal
slope of RS
m=4-8/1+1m=-4/2m=-2Now
Slope of ST=-2
y-4/6-1=-2y-4/5=-2y-4=-10y=-10+4y=-6Which of the following numbers is rational? Assume that the decimal patterns continue.
9514 1404 393
Answer:
(c) √49
(d) 2.544544...(3-digit repeat)
Step-by-step explanation:
Square roots of perfect squares are rational, as are repeating decimals.
The entire graph of the function g is shown in the figure below.
Write the domain and range of g as intervals or unions of intervals.
Step-by-step explanation:
here's the answer to your question
Describe how to transform the graph of f(x) = x2 to obtain the graph of the related function g(x).
Then draw the graph of g(x).
1. g(x) = f(x + 1)
2. g(x) = f(x) - 2
Please help i also need to graph
9514 1404 393
Answer:
left 1 unitdown 2 unitsStep-by-step explanation:
The transformation g(x) = f(x -h) +k is a translation of f(x) to the right by h units and up k units.
1. h = -1, so the graph of g(x) is the graph of f(x) shifted left 1 unit. (blue)
__
2. k = -2, so the graph of g(x) is the graph of f(x) shifted down 2 units. (green)
Convert 333 to base three.
Answer:
110100
Step-by-step explanation:
X^2 + bx + 49 is a perfect squad trinomial what is one possible value of b?
a perfect square trinomial, (x + y)² = x² + 2xy + y²
so, if we have the x of the bx, what is left is the b
the expression would have to be (x + 7)², since we have the 49 and the x²
so, what's left: x² + 14x + 49,
b = 14
hope it helps :)
Find x please step by step explanation need it
Answer:
37.3
Step-by-step explanation:
19tan(63) = x = 37.289... = 37.3
Plz help me find sides M and N round to the nearest tenth
Answer:
44
Step-by-step explanation:
gradpoint
A jar of gumballs contains 4 reds, 2 greens, and 6 blues. What is the probability of getting two blues in a row without replacement?
Select one:
a. 3/4
b. 1/2
c. 5/22
d. 5/11
Answer:
C
Step-by-step explanation:
Hypergeometric distribution
[tex]\frac{{6\choose2}}{{12\choose2}}=\frac{15}{66}= \frac{5}{22}[/tex]
4. As part of your retirement planning, you purchase an annuity that pays 4 % annual
interest compounded quarterly
a. If you make quarterly payments of $900 how much will you have saved in 5
years?
b. Instead, if you make quarterly payments of $450, how much will you have saved
in 10 years?
9514 1404 393
Answer:
a. $19817.10
b. $21998.87
Step-by-step explanation:
The formula for the future value of an annuity with payments "A" and interest at rate r compounded quarterly for t years is ...
FV = A((1 +r/4)^(4t) -1)/(r/4)
The attachment shows this evaluated for ...
a. A = 900, r = 0.04, t = 5. FV = $19817.10
b. A = 450, r - 0.04, t = 10. FV = 21,998.87
The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error
Answer:
(a) Hence the maximum error in the calculated area of the disk is 32.67[tex]cm^{2}[/tex].
(b) Hence the relative error is 1.54%.
Step-by-step explanation:
Here the given are,
The Radius of the circle r = 26cm.
The maximum error in measurement dr = 0.2 cm.
Answer:
(a) [tex]A =(4245.28\pm32.66) cm^2[/tex]
(b) [tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]
Step-by-step explanation:
radius, r = 26 cm
error = 0.2 cm
(a) The area of the disc is given by
[tex]A = \pi r^2\\\\dA = 2\pi r dr\\\\dA = 2 \times 3.14\times 26\times 0.2= 32.66[/tex]
Now
A = 3.14 x r x r = 3.14 x 26 x 26 = 4245.28 cm^2
So, the area with error is given by
[tex]A =(4245.28\pm32.66) cm^2[/tex]
(b) The relative error is
[tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]
What is the value of the digit in the hundred thousands place?
11,391,243
A. 100,000
B. 300,000
C. 90,000
D. 10,000,000
Answer:
B, 300,00
3-1st
4-10th
2-100th
1- 1000th
9-10,000th
3-100,000th
Answer:
B. 300,000
Step-by-step explanation:
what is the area of a triangle of base 10m and height of 8m
Answer:
40m
Step-by-step explanation:
to find the area of a triangle you must do bh/2
So you do 10 times 8 which is 80.
Then you do 80 divided by 2 which is 40.
I hope this helps!
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 45 months and a standard deviation of 3 months. Using the Empirical Rule rule, what is the approximate percentage of cars that remain in service between 36 and 39 months
Answer:
The approximate percentage of cars that remain in service between 36 and 39 months is of 2.35%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 45 months, standard deviation of 3 months.
What is the approximate percentage of cars that remain in service between 36 and 39 months?
36 = 45 - 3(3)
39 = 45 - 2(3)
So within 2 and 3 standard deviations below the mean.
99.7 - 95 = 4.7% of the measures are between 2 and 3 standard deviations of the mean, however, this is two-tailed, considering both above and below the mean.
In this case, both 36 and 39 are below the mean, and due to the symmetry of the normal distribution, this percentage is divided by half, so 4.7/2 = 2.35.
The approximate percentage of cars that remain in service between 36 and 39 months is of 2.35%.
What are the x-intercepts of this quadratic function?
g(x) = -2(x - 4)(x + 1)
Answer:
4 and -1
Step-by-step explanation:
A quadratic function is given to us and we need to find the x Intercepts of the given function . The function is ,
[tex]\bf \implies g(x) = -2( x -4)(x+1)[/tex]
Step 1 : Equate the function with 0,
[tex]\bf \implies -2( x -4)(x+1) = 0 [/tex]
Step 2: Equating with 0 :-
Now equate each factors seperately with 0 , to get the x Intercepts.
Step 3: Finding the intercepts :-
[tex]\bf \implies x - 4 = 0 \\\\\implies\boxed{\bf\blue{ x = 4 }} [/tex]
Again ,
[tex]\bf \implies x + 1 = 0 \\\\\implies\boxed{ \blue{\bf x = -1}} [/tex]
Hence the x intercepts are 4 and -1 .
Answer:D (4,0) and (-1,0)
Step-by-step explanation:
44 and 45 are alternate interior
angles. Find the measure of 44.
t
115/65°
43/44
44 = [?]
t
45/46
47/48
274
Fnter
Answer:
115
Step-by-step explanation:
The opposite angles (115degree angle and angle 4) are equal.
Angle 3=65
Angle 4=115
Angle 5=115
Angle 6=65
Angle 7=65
Angle 8=115
Brainliest please~
Using the net below, find the surface area
of the rectangular prism.
5 cm
5 cm
2 cm
5 cm
5 cm
2 cm
2 cm
2 cm
Surface Area =
Answer:
Surface area = 90 cm²
Step-by-step explanation:
Given net of the rectangular prism shows the dimensions as,
Length = 5 cm
Width = 5 cm
Height = 2 cm
`Expression for the surface area of a rectangular prism = 2(lb + bh + hl)
Here, l = length
w = width
h = height
By substituting the values in the expression,
Surface area = 2(5×2 + 5×2 + 5×5)
= 2(10 + 10 + 25)
= 90 cm²
Answer:
Step-by-step explanation:
A kite is a quadrilateral with two pairs of adjacent, congruent sides. The vertex angles are those angles in between the pairs of congruent sides. Prove the diagonal connecting these vertex angles is perpendicular to the diagonal connecting the non-vertex angles. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.
Will give brainliest answer
Answer:
Step-by-step explanation:
Find the total surface area of this pentagon
Answer:
Step-by-step explanation:
2(lb+bh+hl) is the formula for surface area. So,
2(54+81+54) = 2(189) which is 378.
I think the surface area is 378 square inches, or 378 in^2
A student writes
2
pages of a report in
2
an hour. What is her unit
rate in pages per hour?
Answer:
1 page of a report per hour
Step-by-step explanation:
2/2= 1 page per hour
Lets find unit rate
[tex]\\ \sf\longmapsto \dfrac{2\dfrac{1}{2}}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{5}{2}\div 2[/tex]
[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]
[tex]\\ \sf\longmapsto 1.2pages/hour[/tex]
A store sells 5 different shirts, 6 different pants, 3 different shoes, and 9 different socks. You are making an outfit with one of each article of clothing. How many outfits can you make?
Answer:
you can make 3 outfits
Step-by-step explanation:
because,if you just have 3 shoes aotomaticly you just wear 3 shirt and 3 pants.
for the socks, one people wear 2 socks so there you have 3 outfits
Answer:
[tex]810[/tex]
Step-by-step explanation:
For each shirt, there are 6 different pairs of pants to pair with it. For each of these pairs of pants, there are 3 different shoes to pair and so on.
Therefore, there are [tex]5\cdot 6\cdot 3\cdot 9=\boxed{810}[/tex] combinations you can make.
A line has a slope of -5 and
passes through the point
(0, -7). What is its equation in
slope-intercept form?
Write your answer using integers,
proper fractions, and improper
fractions in simplest form.
Help please :c
What is the probability that a randomly selected student from your group is a 9th grader?
What is the probability that a randomly selected student from your group prefers comedy?
What is the probability that a randomly selected student does not prefer action?
What is the probability that a student prefers comedy, given that the student is in the 10th grade?
What is the probability that a student does not prefer action, given that the student is in 9th grade?
Answer:
1/4
3/8
5/8
2/5
Step-by-step explanation:
From the table :
1.)
P(9th grade) = (9th grade total / total) = 4 / 16 = 1/4
2.)
P(comedy) = (comedy total / total) = 6 / 16 = 3/8
3.)
P(not action) = 1 - P(action) = 1 - (action total / total) = (1 - 6/16) = 1 - 3/8 = 5/8
4.)
P(comefy | 10th grade) = P(comedy n 10th grade) / P(10th grade) = 2 / 5
Answer:
The answer is 12
Step-by-step explanation:
Do 8 plz find OS thanks
Answer:
OS = 10
Step-by-step explanation:
We can use a ratio to solve
QP PR
----- = ------
QO OS
14 7
----- = -------
14+6 OS
14 7
----- = -------
20 OS
Using cross products
14 * OS = 7*20
14 OS = 140
Divide by 14
OS = 140/14
OS = 10
14) The height, h metres, of a ball projected directly upwards from the ground can be modelled by h = 56t - 71, where t is the time in seconds after it leaves the ground. a) Find the height of the ball 3.5 seconds after it leaves the ground. b) At what time will the ball strike the ground again? c) When will the ball be 49 m above the ground? Briefly explain why there are two possible answers.
a family has two children. what is the probability that both are girls, given that at least one is a boy
Answer: The probability would be zero
Step-by-step explanation:
There are two children and one is a boy, so the probability of both being girls is a zero
In a class there are 400 students. 250 of them studying Mathematics, 150 of them studying English, 100 of them studying Biology, 100 of them studying both Mathematics and English, 60 of them studying both Mathematics and Biology, 40 of them studying both English and Biology, 30 of them studying all Mathematics, English and Biology. Find
a) The number of students who are studying only Mathematics.
b) The number of students who are studying only English.
c) The number of students who are studying only Biology.
d) The number of students who are studying none of Mathematics, English and Biology.
I hope this helps and sorry if it's wrong
The distance, y, in miles, traveled by a car in a certain amount of time, x, in hours, is shown in the graph below:
A graph titled Motion of Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 14, 28, 42, 56, 70, 84. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 3, 42. The second straight line joins 3,42 and 4,42 and the third straight line joins ordered pair 4,42 with the ordered pair 5,56.
Which of the following best describes the motion of the car shown?
It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours.
It travels for 3 hours, then stops for 1 hour, and finally travels again for 1 hour.
It travels for 3 hours, then stops for 4 hours, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 2 hours, and finally travels again for 1 hour.
Answer:
The last choice
Step-by-step explanation:
:)