Answer:
3
Step-by-step explanation:
i Substituted the value ofthe variable into the equation and simplified it.
two consecutive integers whose product is 17
Answer:
8 and 9
Step-by-step explanation:
8 comes after 9 and 8 + 9 = 17
(09.01 LC))
For f(x) = x2 and g(x)=(x-3)2, in which direction and by how many units should f(x) be
shifted to obtain g(x)? (5 points)
Answer:
3 units to the right
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift of a units to the left
• If a < 0 then a shift of a units to the right
Thus
g(x) = (x - 3)² is f(x) shifted to the right by 3 units
Mindi planted beans in 4/10 of her garden and peas in 5/10 of her garden. What fraction of the garden has beans or peas?
Simplify (write without the absolute value sign):
|x÷3|, if x=0
Answer:
0
Step-by-step explanation:
zero divided by anything that is integral is zero and 3 in a integer
0
Writing What is the diameter of a circle with a circumference of 11.277 ft? Use pencil and paper.
The diameter is
ft.
I hope this helps you
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Help plz!!!!! I need help
Answer: J and K
Step-by-step explanation:
[tex]\sqrt{20}[/tex] is about [tex]4.472135[/tex]
Answer:
J and K
Step-by-step explanation:
√20=4.47
4.47 is almost in between J and K in the number line.
Hence, it's J and K.
Find the LCM of 2, 10, and 6
Answer:
30
Step-by-step explanation:
Answer:
LCM(2,6,10)
Least Common Multiple is :
30
Calculate Least Common Multiple for :
2, 6 and 10
Factorize of the above numbers :
2 = 2
6 = 2 • 3
10 = 2 • 5
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
2 Number
6 Number
10 L.C.M
(max)
2 1 1 1 1
3 0 1 0 1
5 0 0 1 1
LCM = 2 • 3 • 5
Least Common Multiple is :
30
Find a numerical value of one trigonometric function of x for cscx = sinx tanx + cosx
Answer:
Step-by-step explanation:
we have
[tex]cscx = sinx tanx + cosx\\\\\frac{1}{sinx}=sinx.\frac{sinx}{cosx} +cosx\\\\\frac{1}{sinx}.sinx.cosx= sinx.\frac{sinx}{cosx}.sinx.cosx+cosx.sinx.cosx\\ cosx= (sinx)^{3} +sinx.(cosx)^{2} \\cosx= sinx[(sinx)^{2}+(cosx)^{2})\\ cosx=sinx.1\\cosx=sinx\\tanx=1\\x=\frac{\pi}{4} +k\pi,k-integer.[/tex]
Answer:
cot x=1
Step-by-step explanation:
got it right
If you need to show multiplication, do not use the letter w. Use the asterisk
(*) symbol instead, or simplify your answer.
Mr. Jones's algebra class has too many students in it. If the class were split
exactly in equal parts to form 3 new classes, each class would have no more
than 14 students in it
Answer:
42 students total, 14*3=42
Step-by-step explanation:
I'm not exactly sure what the question is, but I am assuming that it is , How many students were in the original class?
If you have 14 students in 3 classes, then you need to multiply each class by 14.
14 students × 3 classes = 42 students in the original class
Draw the shape described below and find its total surface area.
A cylinder 25 ft tall with a diameter of 12 f
Answer:
hope this helps :)
Step-by-step explanation:
8:07
Cylinder volume & surface area (video)
need asap! please help!
Answer:
x = 2
Step-by-step explanation:
7x + 5 = 19
Subtract 5 on both sides
7x = 14
Divide by 7 to isolate x
x = 2
Hope this helps!
Write the phrase as a unit rate.
$13.50 for 3.6 lb
Alb
Please help FAST
Answer:
$3.75/lb
Step-by-step explanation:
First, let's set up a proportion. The top number represents the cost, while the bottom number represents how many pounds. In order to get a unit rate, we need to figure out how much it costs for 1 pound.
[tex]\frac{13.5}{3.6} =\frac{x}{1}[/tex]
Now, cross multiply. To cross multiply, you would multiply 13.5 by 1 and 3.6 by x.
[tex]13.5 * 1 =13.5\\3.6*x=3.6x[/tex]
Set these two equal to each other.
[tex]13.5=3.6x[/tex]
Divide both sides by 3.6 to get x.
[tex]\frac{13.5}{3.6} =\frac{3.6x}{3.6}\\x=3.75[/tex]
For unit rates, you have to write your answer as per unit. To do that, put a slash next to your answer, and then your unit.
$3.75 / lb (unit)
In a group of 30 people, 10 drink milk but not tea 5 drink tea
but not milk and 13 drink neither tea nor milk. find how many people drink both tea and milk.
Answer:
2
Step-by-step explanation:
10 + 13 + 5 = 28 who drink either, or, or neither
30 - 28 = 2
Answer:
2 drink both tea and milk
Step-by-step explanation:
30 people - 13 drink neither = 17 - 10 drink milk but not tea = 7 - 5 drink tea but not milk = 2 drink both tea and milk.
Evaluate (if possible) the six trigonometri
trigonometric functions of the real number t. (If an answer is undefined, enter UNDEFINED.)
t= 4π/3
Answer:
undefined
Step-by-step explanation:
What is the measure of ∠4?
A survey will ask people if they want
more stop signs near a school. Which
group would be probably be biased
against this idea?
A students
B teachers
C driver
Answer:
I believe the answer is C. Driver.
Step-by-step explanation:
The driver is the person who has to pass by the school everyday. This means they would have to take out extra time because of the stop signs, so they would be against this.
Compute the amount of interest earned in the following simple interest problem.
A deposit of $295 at 7% for 270 days
Answer:
$253.33
Step-by-step explanation:
i did the test
Complete the equation of the line whose slope is -2 and y-intercept is (0,-8)
y=
Answer:
y = -2x - 8
Step-by-step explanation:
We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.
We already know that the slope is -2, so that means m = -2.
We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.
Thus, our equation is: y = -2x - 8.
~ an aesthetics lover
y=-2x-8 this should be right i had this same problem before :)
Consider the cartesian equation of a circle, y=-2+- sqrt 36-(x-1)^2 , verses the parametric equations of the same circle: x=1+6 cos t y=-2+6sin t
What are the advantages of the parametric equations
Answer:
Step-by-step explanation:
Parametric equations shows the relation between a group of quantities by expressing the coordinates of points of a curve and function as one or more independent variables.
From the question given; the advantages of parametric equations given
x = 1 + 6 cos t
y= -2 + 6 sin t
are :
1) For a given value of the independent variable the parametric equation is used exactly one point on the graph
2) the parametric equations have a finite domain
3) the parametric equation is easier to enter into a calculator for graphic
Answer:
That dude was wrong on one of them!
A, C, E
Will Mark Brainliest
Parabola: You must include the focus, vertex, lactus rectum, directrix, and the domain from the equation: y=-(x-0)^2 +15
Hyperbola: You must include the equations of the asymptotes and the domain from the equation: (2y^(2))/(b^(2))-(x^(2))/(a^(2))=7
Ellipse: You must include the foci, vertices, and eccentricity from the equation: 4x^(2)-1x+10y^(2)-50y-1=0
Answer:
Hi, i'm not trying to be rude but, you can search it up. there are many videos that explain it.
Step-by-step explanation:
i need help with thisss hurry!
Answer:
December
Step-by-step explanation:
87-38 = 49
Does choosing a blue marble represent the complement event of choosing a red marble? Explain.
Answer:
No, the probability of choosing a red marble is not the complement of choosing a blue marble.
P(red) + P(blue) = 3/5, not 1.
The number of blue and red marbles does not add to the total number of outcomes.
There are other marbles besides red ones and blue ones.
Step-by-step explanation:
i got it right.
Answer:
The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.
Which graph represents the function f(x) =1/3 |x|?
Step-by-step explanation:
f(x) = 1/3|x|
then
f(x) = 1/3x , if x ≥ 0
and
f(x) = -1/3x , if x ≤ 0
the slope of f(x) = 1/3x is 1/3
the slope of f(x) = -1/3x is -1/3
this two above conditions apply on to the fourth graph to the right.
Please Answer ASAP!
Subtracting a number is the same as adding its opposite. Use this understanding to complete each of the equations below.
Enter numbers to evaluate ‐13−23.
‐13−23= ‐13 + ___
= ___
Enter numbers to evaluate ‐13−(‐23).
‐13−(‐23)= ‐13 + ____
= _____
Step-by-step explanation:
-13 - 23 = -13 + (-23)
= -36
-13 - (-23) = -13 + 23
= 10
Answer:
Step-by-step explanation:
-13 - 23 = -13 + (-23)
= -36
-13 - (-23) = -13 + 23
=10
Data was collected for the number of births per 10,000 people in the United States of America for 20 consecutive years. Below is the data for those 20 consecutive years. Construct a p chart and answer the question below.
157 160 164 167 167 162 158 154 150 146 144 142 143 142 144 141 139 141 140 140
Select the correct lower control limit.
Answer:
Option A is correct.
Step-by-step explanation:
Unit 6: Statistical Process Control POSTTEST Answers (STANDARD NOT HONORS STATISTICS)
1. p bar = 0.0061
2. x bar = 6.992
3. UCL = 0.019
4. Process mean is not within statistical control. There are points above and below the control limits. There is an upward trend.
5. UCL = 58.90; LCL = 40.24
6. Process appears to be out of statistical control. There is a point that lies above the upper control limit.
7. Process mean is not within statistical control. One of the points lies above the upper control limit.
8. UCL = 0.133
9. Process is out of statistical control. There is a downward trend.
10. Process mean is not within statistical control. There are points above and below the control limits. There is a cyclical pattern.
PEARSON CONNEXUS STUDENTS: 100% correct if you put these answers.
Which is an equation for the parabola that has a vertex (6,-3) and passes through the point (2,-2)
Answer:
c
Step-by-step explanation:
Answer:
The Correct Answer is in fact C : x= -4y^2 -24y -30
Step-by-step explanation:
If you look at the image I attached you can see that C is the only one touching those point
Don't forget to like :)
What is the solution of the inequality shown
below?
y-1 > 0
Answer:
y>1
Step-by-step explanation:
y-1 > 0
Add 1 to each side
y-1 +1> 0+1
y>1
Uma camiseta nº 42 custa R$ 1.200,00 e uma camiseta do mesmo tipo nº46 custa R$ 1.800,00. Comprando-se 4 camisetas nº 42 e 6 camisetas nº 46, qual o preço médio de cada camiseta
Step-by-step explanation:
fffggy nu fjxjxjxjcjcjdj
please Answer:
lol
Step-by-step explanation:
1) A 30-ft. ladder leans against a wall so that the base of the ladder
is 10 ft. from the base of the wall. What angle does the ladder
make with the ground?
A) 70.5
B) 19.5
C) 18.4
D) 33.3
Answer:
A) 70.5
Step-by-step explanation:
cos x = adjacent side/ hypotenuse
cos x = 10/ 30
cos x = 0.3
cos 70 = 0.3420
cos 71 = 0.3256
x = 70.5
