Answer:
(f - g)(x) = -x³ -5x² + 4x + 14
Step-by-step explanation:
f(x) = 2x³ - 3x² + 5
g(x) = 3x³ + 2x² - 4x - 9 subtract
(f - g)(x) = (2-3)x³ + (-3-2)x² + (0 - -4)x + (5 - -9)
(f - g)(x) = (-1)x³ + (-5)x² + (0 + 4)x + (5+ 9)
(f - g)(x) = (-1)x³ + (-5)x² + (4)x + (14)
(f - g)(x) = -x³ -5x² + 4x + 14
how do i find parabola from a figure ( process )
Step-by-step explanation:
The graph of a quadratic equation in two variables (y = ax^2 + bx + c ) is called a parabola. The following graphs are two typical parabolas their x-intercepts are marked by red dots, their y-intercepts are marked by a pink dot, and the vertex of each parabola is marked by a green dot: (Given in attachment for diagram)
We say that the first parabola opens upwards (is a U shape) and the second parabola opens downwards (is an upside down U shape). In order to graph a parabola we need to find its intercepts, vertex, and which way it opens.
Given y = ax^2 + bx + c , we have to go through the following steps to find the points and shape of any parabola:
Label a, b, and c.
Decide the direction of the paraola:
If a > 0 (positive) then the parabola opens upward.
If a < 0 (negative) then the parabola opens downward.
Find the x-intercepts:
Notice that the x-intercepts of any graph are points on the x-axis and therefore have y-coordinate 0. We can find these points by plugging 0 in for y and solving the resulting quadratic equation (0 = ax^2 + bx + c). If the equation factors we can find the points easily, but we may have to use the quadratic formula in some cases. If the solutions are imaginary, that means that the parabola has no x-intercepts (is strictly above or below the x-axis and never crosses it). If the solutions are real, but irrational (radicals) then we need to approximate their values and plot them.
Find the y-intercept:
The y-intercept of any graph is a point on the y-axis and therefore has x-coordinate 0. We can use this fact to find the y-intercepts by simply plugging 0 for x in the original equation and simplifying. Notice that if we plug in 0 for x we get: y = a(0)2 + b(0) + c or y = c. So the y-intercept of any parabola is always at (0,c).
Find the vertex (h,k):
To find the x-coordinate for the vertex we use the following formula:
To find the y-coordinate for the vertex we plug in h in the original equation:
k = a(h)2 + b(h) + c
Plot the points and graph the parabola
-Please Mark As Brainliest
If two angles are complementary and one angle is 50º what is the measure of the other angle?
Answer: 40 degrees
Step-by-step explanation: Complementary angles always have a sum of 90 degrees. In order to find the other complementary angle take 90 and subtract 50 in order to get your missing value (value of the other angle).
PLS help asap bt 1230 pt help thank you will brainliest
Answer:
85
Step-by-step explanation:
So you train of though might lead you to soemthing like this: it must be 90 degrees, since that looks like a 90 degree triangle, and there are 180 degrees in a line. So 90 degrees and 90 degrees make up the 180.
That is exactly what I though.
But, its a bit different from that. We do not know for sure that its a 90 degree traingle. Depending on the angle of the traingle, the outcome of the mystery number is different.
So, to find the angle of the trainge, lets take our 155 degree line.
Now, this is just a simple line. We know the line is 180, and that the other number must add onto 155 to make 180:
180-155=missing angle
=
25. So we know that the smallest angle of the traingle is 25.
We also know that a traingle has a total of 180 degrees.
We can add the 60 degrees and our new 25 degrees, subtract if from 180, and we will get our last angle of the traingle we need to solve:
60+25
=
85
Now subtract it from 180:
180-85
=
95
So that last angle of the traingle is 95.
Now, we need to solve the missing angle of the line that will give us the answer.
Again, we know the line has to be 180, so lets subtract 95 from that:
180-95
=
85
So we know that the missing angle answer is 85!
I hope this isnt too confusing and helps! :)
Maddie has $50. she worked for five days and she now has $270. what integer represents the average increase in value PER DAY
What is the measure of ∠PCB?
75 degrees
18 degrees
33 degrees
144 degrees
Answer:
3rd Option, 33° = ∠PCB
Step-by-step explanation:
First find the measure of ∠CPB;
∠CPB = 180 - 105
∠CPB = 75
Now we can find the measure of ∠PCB;
180 - (Angle 1 + Angle 2)
180 - (75 + 72)
33 = ∠PCB
Hope this helps!
What is z if x = 25, u = 22, o= 6, and
n = 9?
A. -2.5
B. -1.5
C. 1.5
D. 2.5
Answer:
what's the equation????
Agree or Disagree? plz help no link plz
Answer:
Agree
Step-by-step explanation:
Some1 hurry need help!!
Answer:
A
Step-by-step explanation:
Because it's reflected across the x-axis, the x coordinate doesn't change. On the other hand, the y coordinate becomes its opposite. So we get:
(4, 2) -> (4, -2)
Which of the following is the correct point-slope equation for the line that
passes through the point (-3,-9) and is parallel to the line given by
y = 2.5x - 20?
A. Y-3 = 2.5(x-9)
B. y + 3 = 2.5(x + 9)
C. y + 9 = 2.5(x + 3)
O D. y-9 = 2.5(x-3)
Answer:
C. [tex] y + 9 = 2.5(x + 3) [/tex]
Step-by-step explanation:
Point-slope equation takes the form of [tex] y - b = m(x - a) [/tex].
Where,
a and b area coordinates of a point the line passes through. In this case, a = -3, and b = -9
m = slope, in this case, slope will be the same as the slope value of the line it is parallel too = 2.5.
Substitute a = -3, b = -9 and m = 2.5 into [tex] y - b = m(x - a) [/tex].
Thus:
[tex] y - (-9) = 2.5(x - (-3) [/tex]
[tex] y + 9 = 2.5(x + 3) [/tex]
can someone answer this i am in forth grade 7/8 x 3 =
Whats the Diameter? I really need help understanding this
Answer:
1.8 in.
Step-by-step explanation:
Hi there!
1) Determine the radius of the base
[tex]V=\frac{1}{3} \pi r^2h[/tex] where r is the radius of the base and h is the height of the cone
Plug in the known values (h=4.2, V=3.6)
[tex]3.6=\frac{1}{3} \pi r^2(4.2)[/tex]
Isolate r; divide both sides by 4.2
[tex]\frac{3.6}{4.2} =\frac{1}{3} \pi r^2\\\frac{6}{7} =\frac{1}{3} \pi r^2[/tex]
Multiply both sides by 3
[tex]\frac{6}{7}*3 =\pi r^2\\\frac{18}{7}=\pi r^2[/tex]
Divide both sides by π
[tex]\frac{18}{7\pi }=r^2[/tex]
Take the square root of both sides
[tex]\sqrt{\frac{18}{7\pi }} =r[/tex]
2) Determine the diameter
Now that we have the radius, to find the diameter, multiply r by 2:
[tex]d=\sqrt{\frac{18}{7\pi }}*2\\d=1.8[/tex]
Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.
I hope this helps!
Answer:
1.8 in
Step-by-step explanation:
we know the equation for the volume of a cone is pi*r^2 h/3=3.6
pi r^2 *4.2=10.8
solve for r
r is about 0.9 so diameter is 1.8 in
Can someone help me with this math problem
Answer:
$1,545
Step-by-step explanation:
3% of 1500 is 45
1500 + 45 = 1545
What is the decimal equivalent of 2/3?
Answer:
0.66
Step-by-step explanation:
Answer:
i think 0.6
Step-by-step explanation:
i thank hope it helps
How much shorter of a kiloliter is 498 Litre?
Answer:
hi
Step-by-step explanation:
Answer:498000
Step-by-step explanation:
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 36 small cars at 65 miles per hour and records the braking distance. The sample average braking distance is computed as 114 feet. Assume that the population standard deviation is 22 feet. Use Table 1. State the null and the alternative hypotheses for the test. H_0:mu = 120: H_A: mu notequalto 120 H_0:mu 2 greaterthanorequalto 120: H_A mu < 120 H_0: mu lessthanorequalto 120: H_A: mu > 120 Calculate the value of the test statistic and the p-value. {Negative values should be indicated by a minus sign. Round "Test statistic" to 2 decimal places 3nd "p-value" to 4 decimal places.} The p-value is: p-value < 0.01 0.01 lessthanorequalto p-value < 0.025 0.025 lessthanorequalto p-value < 0.05 0.05 lessthanorequalto p-value < 0/.10 p-value greaterthanorequalto 0.10 c. Use alpha = 0.01 to determine if the average breaking distance differs from 120 feet. Repeat the test with the critical value approach. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)
Answer:
H0: mu = 120 , Ha: : mu not equal to 120
The p-value is greater than or equal to 0.10
z= -1.636
Since the calculated value of z does not fall in the critical region H0 is not rejected.
Step-by-step explanation:
State the null and alternate hypothesis
H0: mu = 120
average braking distance for a small car traveling at 65 miles per hour equals 120 feet.
against the claim
Ha: : mu not equal to 120
average braking distance for a small car traveling at 65 miles per hour does not equal 120 feet.
The p-value equals 0.101764 which is greater than 0.01 and thus supports H0.
The p-value is greater than or equal to 0.10
The test statistic z is applied
Here
Sample Mean x~ = 114
Population mean μ =120
Sample size n= 36
Population SD =σ= 22
Z= u- μ/σ√n
Z= 114- 120/ 22/ √36
z= -1.636
This is a two tailed test and the critical region for two tailed test at alpha = 0.01 is z ∝/2= ± 2.58
Since the calculated value of z does not fall in the critical region H0 is not rejected.
You pay $2 to play a game in which you roll one fair die. If you roll a 5 on the first roll, you win $5. If you roll a 1 or a 2, you win $3. If not, you lose your money. Use this information to answer questions 1-2.
Find the expected value for this game? Round your answer to the hundredths place
Find the fair price for this game. Round your answer to the hundredths place
Answer:
The answer is 4
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZ
Answer:
4
:P
Step-by-step explanation:
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
Answer:
243 ft^3
Step-by-step explanation:
The volume of a triangular prism is the triangular base times the height.
To get the area of the triangle, multiply the base time height and divide by 2.
9*6/2=27
Now multiply by the height
27*9=243
Answer: 243 ft^3
Answer:
243ft^3
Step-by-step explanation:
The ratio of hot dogs to hamburgers on a barbeque table is 7:3. If there are 51 hamburgers on the table then how many hot dogs must be there?
Answer:
119 hotdogs
Step-by-step explanation:
Let 7x = no. of hotdogs
then 3x = no. of hamburgers
3x = 51
x = 17
7(17) = 119 hotdogs
HELP PLEASE! ASAP! Need full equation and I WILL GIVE BRAINLY!!
Answer:
y = (3/2)x - 4
Step-by-step explanation:
Use (y2-y1)/(x2-x1) to find slope, and then y-intercept is -4.
find f(3) for the polynomial function F(x)=x^3-9x^2+5x-2
Answer:
f(3) = -41
Step-by-step explanation:
f(x) = x³-9x²+5x-2
now,
f(3) = 3³-9×(3)²+5×3-2
= 27-9×9+5×3-2
= 27-81+15-2
= -41
The table shows the number of hours Marcus worked each week and his pay for the week. How much did Marcus earn per hour?
Answer:
$8.5 per hours
Step-by-step explanation:
102/12=8.5
119/14=8.5
136/16=8.5
153/18=8.5
Answer:
8.5
Step-by-step explanation:
102/12=8.5
119/14=8.5
136/16=8.5
153/18=8.5
Express in words 18.01
Answer:
Eighteen point zero one
Step-by-step explanation:
Eighteen point zero one
A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. He subdivided a portion of his land into 10 separate, but essentially equal, plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Below is a computer output for linear regression of amount of fertilizer versus yield for the 10 plots of land.
Predictor Coef SE Coef T P
Constant 10.100 0.7973 12.67 0.000
Fertizer 1.50 0.1879 6.12 0.000
S= 0.8404; R-Sq= 82.4% R-Sq(adj) = 80.28%
Required:
What is the equation of the least squares regression line from this sample?
Answer:
Y = 10.1 + 1.50x
Step-by-step explanation:
From the data contained in the computer output for linear regression
The coefficient of intercept = 10.1
coefficient of fertilizer = 1.50
Sample of an Equation of least squares regression line
y = a + bx
where : a = intercept , b = slope
hence the required equation will be
Y = 10.1 + 1.50x
y = yield , x = fertilizer
Find the sum of the measures of the INTERIOR angles in 36-gon polygon
Answer: 6120
Step-by-step explanation:
The equation for the interior angles of a polygon is (n-2)180. So using the equation, (36-2)180=(34)180=6120.
PLEASE HELP FAST !!!
An artist creates a cone shape sculpture for an Art exhibit if the sculpture is 7 feet tall and has a base with a circumference of 21.980 feet what is the volume of the sculpture?
Answer:
The volume of the sculpture is 111.439
Step-by-step explanation:
2.2 A large supermarket offers an internet shopping service to its customers. It recently conducted
a survey amongst its customers to find out if full time employed customers are more likely to use
the internet shopping facility than at home customers. The survey findings are summarized in the
following cross-tabulation table:
Employment status
Use internet shopping
Yes
No
Full-time
35
109
At-home
40
176
At the 5% significance level, is there sufficient statistical evidence to conclude that full-time
employed customers are more likely to use the internet shopping service than at-home
customers? (ie, is employment status and the use of internet shopping statistically dependent?)
What conclusion can be drawn
PLEASEEEEEEEEEEEEE HELPPPPPPPPPPPPPPP AM GOING TO FAIL
Answer:
2b + 10
Step-by-step explanation:
What is the area of the figure composed of a parallelogram, a square, and a rectangle?
Answer:
Let's cut the figure into:
Parallelogram, square, and rectangle.
Let's find the area of the parallelogram first:
10 x 3.5 = 35
Let's find the area of the square:
4 x 4 = 16
When given one length of a square you already know are sides and lengths are equal so therefore 1 given length of a square is all the lengths.
Let's find the area of a rectangle:
6 x 12.5 = 75
Now let's add all the areas up:
35 + 16 + 75 = 126 square inches is your answer.
Simplify 150-(0.4 x 150 + 15)
Answer:
−60x + 135
Step-by-step explanation:
Answer:
150 - (0.4×150+15)
= 150-75
= 75
WILL
GIVE
BRAINLIST
.
..
.
.
..
Answer:
1/6
Step-by-step explanation:
Given the following data;
A single fair die = 6
To find an outcome of A5;
Since the die was tossed just once, the outcome would be a fraction of the total number of outcomes.
P(A5) = number of times tossed/total number of outcomes
P(A5) = 1/6