Answer:
slope of -1/8
and it crosses:
(3,5)
.
Plug the above data into the "point-slope" form:
y - y1 = m(x - x1)
y - 5 = (-1/8)(x - 3)
y - 5 = (-1/8)x + 3/8
y = (-1/8)x + 3/8 + 5
y = (-1/8)x + 3/8 + 40/8
y = (-1/8)x + 43/8
Step-by-step explanation:
?
Which of the following describes the roots of the polynomial function f (x) = (x + 2) squared (x minus 4) (x + 1) cubed?
–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3
–2 with multiplicity 3, 4 with multiplicity 2, and –1 with multiplicity 4
2 with multiplicity 2, –4 with multiplicity 1, and 1 with multiplicity 3
2 with multiplicity 3, –4 with multiplicity 2, and 1 with multiplicity 4
Answer:
A
Step-by-step explanation:
[tex]f(x) = (x + 2)^2(x-4)(x + 1)^3[/tex]
x+2=0
x+2-2=0-2
x=-2.....(x+2) was squared...exponent of 2...multiplicity of 2
x-4=0
x-4+4=0+4
x=4....(x-4) has no visible exponent which means it is essentially to the power of 1...multiplicity of 1
x+1=0
x+1-1=0-1
x=-1....(x+1) was cubed...exponent was 3...multiplicity of 3
The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct.
What are the roots of an equation?The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.
For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.
As per the given function,
f(x) = (x + 2)²(x - 4)(x + 1)³
The roots are the points at which the value of the function is zero.
f(x) = 0
(x + 2)²(x - 4)(x + 1)³ = 0
(x + 2)² = 0
x = -2 (with a multiplicity of 2)
(x - 4) = 0
x = 4 (with a multiplicity of 1)
(x + 1)³ = 0
x = -1 (with a multiplicity of 3)
Hence "The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct".
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f(1) = 6 f(n) = f(n – 1) – 5 for integer values of n > 1
Find the circumference of a circle whose
area is 49pi sq units.
Answer: C=2πr
r Radius
This is for someone that i was suppost to give brainliest to lol
Answer:
ok does that mean me dont get brainliest
Step-by-step explanation:
Help me pleaseeeee:(((
Answer:
1.25
Step-by-step explanation:
if you paid 7.50 for 6 feet of rope we can figure out how much each foot of rope is by example 750 divided by 6 which equals 1.25 .
Answer:
$62.50
Step-by-step explanation:
Proportions:
$7.50 ⇔ 6ft
$R ⇔ 50ft
R = 7.5*50/6
R = $62.5
What is the maximum for: P = 3x + 2y
Answer:
The maximum value of the function P= 3x + 2y
There is an accompanying graph in this problem. In the graph, there are 4 points to consider. I'll just assign letters on each point.
Point O is found in x = 0 ; y = 0 or (0,0)
Point A is found in x = 8 ; y = 0 or (8,0)
Point B is found in x = 6 ; y = 5 or (6,5)
Point C is found in x = 0 ; y = 8 or (0,8)
We will substitute x and y in the equation by its values per point.
Point A = 3(8) + 2(0) = 24 + 0 = 24
Point B = 3(6) + 2(5) = 18 + 10 = 28
Point C = 3(0) + 2(8) = 0 + 16 = 16
what is principal in simple intrest
Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. How many students said they feel more focused after exercising? 380 570 760 930
Answer:
760
Step-by-step explanation:
Answer:
760
Step-by-step explanation:
Given g(x)=−x−4, find g(5)
Answer:
-9
Step-by-step explanation:
Plug it in
g(x)=-x-4
g(5) meaning that x=5
Thus,
-5-4=-9
Hope it find it helpful :)
Answer:
-1
Step-by-step explanation:
Given g(x) = -x + 4, find g(5)
g(x) = -x+4
g(5) = -(5) + 4 Plug input into x
-5 + 4 Negate
-1 Add
What is the answer for 2/5x5/8 ?
Can some please help me with this one it would be much appreciated
πAnswer:
Therefore, the area of a sector of a circle would be 13.5π square units.
Step-by-step explanation:
Given
[tex]r=9[/tex] miФ = 60°The area of a sector of a circle is:
A = π r² Ф/360
A = π (9)² 60/360
A = π 81 * 1/6
A = 13.5π square units
Therefore, the area of a sector of a circle would be 13.5π square units.
The square shown has sides of length 6z^7 decimeters. Find it’s area
Answer:
49z^10 dm^2
Step-by-step explanation:
complete the sequence:1,1,2,3,5,_,_,_
Answer:
8,13,21
Step-by-step explanation:
Basically,add the previous number to next number
Answer:8,13,21
Step-by-step explanation:
What is the slops of the line passing through (-1, 2) and (-3, -2)? PPPPLLLZZZ HELP!!!!
A. 2
B. -1/2
C. 1/2
D. -2
Answer:
A. 2
Step-by-step explanation:
Count the steps to get to the both points.
From (-3, -2) to (-1, 2), it gets up by 4 and move to the right by 2.
Rise ÷ Run = 4 ÷ 2 = 2
Answer:
I think it's D
Step-by-step explanation:
because it's same to another one so D only
use an identity to solve the equation on the interval [0,2pi) sin x cos x = -1/4 x=
Answer:
The solution of the given equation is x = 105 °∈ ( 0 , 2pi)Step-by-step explanation:
Step(i):-
Given equation is sin x cos x = -1/4
[tex]2(2sinxcosx) = -1[/tex]
we know that trigonometry formula
2 sin x cos x = sin 2x
2 ( sin 2 x) = -1
sin2x = -1/2
Step(ii):-
sin2x = [tex]\frac{-1}{2} = sin (\pi +\frac{\pi}{6}[/tex]
sin2x = sin 210 2x = 7π/6 2x = 210° x = 105 °The solution of the given equation is x = 105 °∈ ( 0 , 2pi)To find 7% of a total you can multiply the total by
(1) 7 (3)
(2) 0.7
(3) 7/10
(4) 0.07
If an object moves in a straight line with position function s = f(t), then the average velocity between t = a and t = b is
f(b) − f(a)/b − a
and the velocity at t = c is f '(c). Thus the Mean Value Theorem tells us that at some time t = c between a and b the instantaneous velocity f '(c) is equal to the average velocity. For instance, if a car traveled 150 km in 2 hours, then the speedometer must have read km/h at least once.
In general, the Mean Value Theorem can be interpreted as saying that there is a number at which the instantaneous rate of change is equal to the average rate of change over an interval.
Answer:
75 km/hr
Step-by-step explanation:
So, if a car travels 150 km in 2hours.
Then;
f(t=0) = 0
f(t = 2 hours) = 150 km
Therefore;
f'(c) (speedometer reading) = f(t=2)-f(t=0)/(2-0)
f'(c) (speedometer reading) = 150/2 km/hr
f'(c) (speedometer reading) = 75 km/hr
-4q= 52
HELP!!!!!!!!!!!!!!!!!!!!!
Algebra 1
hi
-4q= 52
q = 52/ -4
a = -13
Answer:
-13
Step-by-step explanation:
-4q=52
divide both side by -4
-4q/-4=52/-4
q=-13
PLEASE HELP. use the information provided to write the equation of each circle . i will give brainliest!
Answer: 16. C 17. A 18. A
19 You got this! There is only one answer with the correct radius squared!
Step-by-step explanation:
For the coordinates of the center, flip the signs in the parentheses.
For the "=output": in the equation, square the given radius.
Center: (-14.4) the signs in (x + 14)²+(y - 4)² are the opposites.
Radius given: 2 Square it to get the =4
The slope of the line is ?
Answer:
slope= 4,
Step-by-step explanation:
y = 4x-6
The 7th grade class took a survey on their faviorte ice cream. 58 people said they perfer vanilla, while 28 people said they pefer chocolate. Write a ratio comparing chocolate to vanilla.
The Jimenez family is bringing 12 packages of hamburger and hotdog buns to the neighborhood picnic. The hamburger buns cost $2.00 per package. The hot-dog buns cost $1.50 per package. They spent $20 for the buns. Create and solve a system of equations that can be used to find the number of packages of each type of bun purchased.
Answer:
The system of equations is x + y = 12 and 2x + 1.5y = 20
The number of packages of the hamburger is 4
The number of packages of the hotdog is 8
Step-by-step explanation:
Assume that they bringing x packages of hamburger y packages of hotdog
∵ x represents the number of packages of hamburger
∵ y represents the number of packages of hotdog
∵ Jimenez family is bringing 12 packages of hamburger and hotdog buns
∴ x + y = 12 ⇒ (1)
∵ The hamburger buns cost $2.00 per package
∵ The hot-dog buns cost $1.50 per package
∵ They spent $20 on the buns
∴ 2x + 1.5y = 20 ⇒ (2)
The system of equations is x + y = 12 and 2x + 1.5y = 20
Let us solve it to find x and y
→ Multiply equation (1) by -1.5 to make the coefficients of y equal in
values and different in signs to eliminate it
∵ -1.5(x) + -1.5(y) = -1.5(12)
∴ -1.5x - 1.5y = -18 ⇒ (3)
→ Add equations (2) and (3)
∵ (2x + -1.5) + (1.5y + -1.5y) = (20 + -18)
∴ 0.5x = 2
→ Divide both sides by 0.5 to find x
∴ x = 4
→ Substitute the value of x in equation (1) or (2) to find y
∵ 4 + y = 12
→ Subtract 4 from both sides
∴ 4 - 4 + y = 12 - 4
∴ y = 8
∴ The number of packages of the hamburger is 4
∴ The number of packages of the hotdog is 8
A food truck used 6 cartons of boxes for the dinners they sold yesterday. There are 24 boxes in a carton. Each dinner uses one box and costs $11. How many boxes did the food truck use yesterday? What was the total amount of money they made from selling dinners?
Answer:
$1584
Step-by-step explanation:
My first answer got deleted because it was incomplete or something.
Just multiply 6x24x11 and you'll get the answer.
What is the value of the expression 3/19 7/2
Answer:
It is 2/15
Step-by-step explanation:
[tex]\frac{3}{19\frac{7}{2} } =\frac{3}{\frac{45}{2} }\\=\frac{2}{15}[/tex]
Dont know if this helps but here you go :)
please help will give brainlyest again
Answer:
8
_
12 I think
that's it it you can cross multiple it will be 7/10
Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?
Answer:
2x + 2y ≤ 20
x + 3y ≤ 2
Step-by-step explanation:
this is the correct answer i got on my assignment-------
The system of inequalities can model Gabrielle’s situation is x + 2y ≤ 20
and 3x + 2y ≤ 21.
What are inequalities?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.
By setting variables as follows; batches of brownies = x and batches of cookies = y
Brownie:
Sugar = 1 cup
Eggs = 2
x + 2y ≤ 20
Cookie:
Sugar = 3 cups
Eggs = 2
3x + 2y ≤ 21
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Gabrielle is baking large batches of brownies and cookies to share with her friends and family. Among other ingredients, her brownie recipe calls for 1 cup of sugar and 2 eggs and her cookie recipe calls for 3 cups of sugar and 2 eggs. Gabrielle has 20 eggs and 21 cups of sugar, and she would like to know how many batches of brownies and cookies she can bake without getting more of these ingredients. Part A Question Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?
James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account. How much money was in the account after 2 1/2 years? Round your answer to the nearest cent.
Answer:
$654.06
Step-by-step explanation:
ジオメトリヘルプミープリーズは、速くて正しい場合に最も頭が良くなります
関係のドメインは？ 1）関係の出力（y）値2）関係の入力（x）値3）入力値をペアにするポイントのセット…
f（x）= 16 – x ^ 2、g（x）= 4 –xとします。 （fg）（x）とその定義域を見つけます。
助けてくださいお願いします
助けてください
Answer: the answer would be 79.06
Step-by-step explanation:
List the transformations of the function. *
5 points
f(x)= (1/2(- 1/4(x-3))+1
Answer:
Transformations of function f(x) = 1/2(-1/4(x-3)) + 1 :
vertical compressionhorizontal stretchreflection across y-axistranslates righttranslates upI feel it could be AAS since both angles could be alternate interior but it could also be SAS so could someone help please?
Answer: D) Side-Angle-Side (SAS)
Check out the diagram below. Note the color coding to see how the angles and sides correspond to the given information. We aren't given RT = RT, but we use the reflexive property in this case. The angles are between the sides so we use SAS.
We don't have enough information to determine anything about the other angles, so we cannot use AAS or ASA. Also, recall that SSA is not a valid congruence theorem. Luckily the angle is between the sides so we don't have to worry about SSA.
Given a cylinder with a volume of 502.4 in3and radius 4 in. Find the height of the cylinder.
Answer:
h = 9.99in
Step-by-step explanation:
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