Answer:q = - 9 and r = - 10
Step-by-step explanation:
since g(x) is divided by (x - 1) with remainder - 12, then (1) = 4(1)³ + q(1)² + r + 3 = - 12, that is 4 + q + r + 3 = - 12
q + r + 7 = - 12 ( subtract 7 from both sides )
q + r = - 19 → (1)
Since (x - 3) is a factor of g(x), then
g(3) = 4(3)³ + q(3)² + 3r + 3 = 0, that is
108 + 9q + 3r + 3 = 0
9q + 3r + 111 = 0 ( subtract 111 from both sides )
9q + 3r = - 111 → (2)
The 2 equations to be solved simultaneously are (1) and (2)
Multiply (1) by - 3
- 3q - 3r = 57 → (3)
Add (2) and (3) term by term to eliminate r
6q = - 54 ( divide both sides by 6 )
q = - 9
Substitute q = - 9 into (1)
- 9 + r = - 19 ( add 9 to both sides )
r = - 10
Hope the helps!!! ❤️
Solve the equation and check.
37x + 16 = 6(6x + 6)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
B. The solution is all real numbers.
OC. There is no solution.
Answer:
x = 20.
Step-by-step explanation:
37x + 16 = 6(6x + 6)
Distribute.
37x + 16 = 36x + 36
Subtract 36x from both sides.
x + 16 = 36
Subtract 16 from both sides.
x = 20.
The solution is 20.
Proof
37x + 16 = 6(6x + 6)
37(20) + 16 = 6(6(20) + 6)
740 + 16 = 6(120 + 6)
756 = 6(126)
756 = 756.
Write the equation of the line, in slope-intercept form, with the
following information:
slope: -2
y-intercept: (0, -3)
Geometry Unit 10 Review Pls Help its ASAP
Answer:
21. 10
22. 17.4
Step-by-step explanation:
apply the pathagorean theorem.
a^2 + b^2 = c^2
What is the dominan and range of the relation below? Answer using set notation.
Answer:
domain: -2 < x < 4
range: -3 < y < 1
If a triangle is rotated about the y-axis as shown below, what three-dimensional polyhedral would be formed?
An image of a right triangle centered at the origin is shown with an arrow showing motion about the y axis.
(1 point)
Triangular prism
Cone
Cylinder
Square pyramid
Answer:
Cone
Step-by-step explanation:
I took the test and got it right :)
The triangle is rotated about the y-axis then a cone will be formed.
It is given that the triangle is rotated about the y-axis as shown in the picture.
It is required to find what three-dimensional polyhedral would be formed.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have an image of a right triangle centered at the origin in the picture, if we rotate it about the y-axis we will get a cone because the side which is at the y-axis will be fixed and the base of the triangle will move about the y-axis which will make a circular shape similarly the other side(hypotenuse) will also rotate about the y-axis which will create an outer surface for the cone.
Thus, the triangle is rotated about the y-axis then a cone will be formed.
Learn more about the triangle here:
brainly.com/question/25813512
Pls, answer!!!!. Please answer the Geometry worksheet. 50 points, and brainliest
Answer:
you didnt put the picture out !!!!!!!!
%
Jaden goes to her dance class every
10 days and Scarlett goes to the same dance
class every 5 days. If they are together at the
class on Saturday, what is the next day they
will be together at the dance class?
Answer:
tuesday is answere .........
In a cookie jar containing 6 chocolate chip cookies, 8 wafer cookies and 10 double chocolate cookies, what is the
probability that a person who isn't looking when they get a cookie will get a chocolate chip cookie?
Group of answer choices
15%
20%
33%
25%
Answer:
25%Step-by-step explanation:
10+8+6= 24 (total)
6 (chocolate chip) /24
25%
Answer:
25%
Step-by-step explanation:
10+8+6=24
so that means it is 25%
Balloons are sold in bags of 30. There are 5 giant balloons in each bag. How many giant balloons will you get if you buy 120 balloons?
Answer:
20 giant balloons
Step-by-step explanation:
120 : 30 = 4 bags
4 . 5 = 20
A satellite flies 104500 miles in 13.75 hours. How many miles has it flown in
14.65 hours?
Helpppl
Answer:
111340
Step-by-step explanation:
divide 104500 by 13.75 then get 7600. 7600 is for every hour then multipy 7600 by 14.65 then u get 111340. I HOPE THIS HELPED
pls help me multiple choice!
Answer:
100. degrees was right for me so it could be for you
What is 0.00047 in standard form.
Step-by-step explanation:
0.00047. = 47÷10 000
=4.7×10/10^-5
= 4.7×10^-4
Find the missing height of the solid figure
9514 1404 393
Answer:
5 in
Step-by-step explanation:
The figure's angles are presumed to be right angles everywhere, so the left-side vertical dimension is equal to the right-side vertical dimension.
The right side is marked as 15 inches.
The left side has two vertical segments, one of which is 10 inches. Since the total left-side height must be the same as the right-side height, we have ...
10 in + ? = 15 in
? = 5 in . . . . . . subtract 10 in
The missing height is 5 inches.
Andrea claims that any two cross sections of a cylinder that lie on parallel planes are congruent.
Answer:
A)No; any two cross sections of a cylinder that lie on planes parallel to the bases of the cylinder are congruent.
Step-by-step explanation: I had to answer it in class and got it right
I forgot how to do this, can someone please help
Answer:
Solution given:
<R=<J=49°[ inscribed angle standing on a same Aaka equal in a circle]
<K=90°[inscribed is triangle on a semicircle is 90°]
now in triangle JKL
<J+<K+<L=180°[ sum of interior angles of a triangle is 180°]
49°+90°+<L=180°
<L=180°-49°-90°=41°
:.arcJK=41°
is your answer.
Answer:
Question:Find the measure of the arc or angle indicated.
Solution:In ∆LRK & ∆JKL,
∠KRL= ∠LJK = 49°
( inscribed angle standing on a same Aaka equal in a circle)Now , In ∆JKL,
∠JKL = 90°
(angle suspended to the center of the circle =90°)Now,
construction: A line segment OK joining the points O(center)& KSince, OK&OJ are the radii of the same circle,
Hence, OK = OJ
.°. ∠JKO = ∠OJK = 49°
Now,
In ∆ JOK,
∠JKO +∠OJK+ ∠JOK = 180°
Angle sum property of a∆∠JOK = 180°- (∠JKO +∠OJK)
∠JOK = 180°-(49°+49°)
∠JOK = 180°- 98°
∠JOK = 82°
Hence, 82° is your answer[tex] \\ \\ [/tex]
Hope it helps
-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀
A plumber charges $75 for the service call and $25 per hour (h) for repairs. Write an algebraic expression to represent the total bill for all plumbing services.
Answer:
75 + 25h
Step-by-step explanation:
Hope this helps
In parallelogram IFGH, mF = (x + 20° and mi
(4x – 10)
Find the value of x.
Answer:
x = 34
Step-by-step explanation:
4x - 10 + x + 20 = 180
5x + 10 = 180
5x = 170
x = 34
Answer:To find the value of x, we can use the property of opposite angles in a parallelogram. In a parallelogram, opposite angles are congruent.
Given that mF = x + 20° and mi = 4x - 10, we can set these two expressions equal to each other:
x + 20° = 4x - 10
Now, let's solve for x:
x - 4x = -10 - 20°
-3x = -30°
Divide both sides by -3:
x = -30° / -3
x = 10°
Therefore, the value of x is 10°.
Step-by-step explanation:
Select the correct answer. On the number line, which point is closest to 3.14? 3.1 3.2 tetett HHH A B С OA. A OB B OC. C OD. D
Calculate the total mass of 3 blocks of cheese each weighing 2.3 kg,4.75kg and 0.56kg respectively.
Answer:
7.61 Kg
Step-by-step explanation:
Total mass of all the cheese.
Someone plz help me giving brainliest
Answer:
from the left the right it should look like this;
4, 1, 2800, 7, 400
Given point P moving along a curve y = x²-1 and point Q moving along a line y = x-3. Find the coordinate of point Q and distance between P and Q that makes the distance between two points have minimum value. Show your work, thank you!
Answer:
Part A
The coordinates of point Q that makes the distance between the two points have minimum value is (9/8, -15/8)
Part B
The distance between P and Q at the closest point is approximately 1.287 units
Step-by-step explanation:
From the details given in the question, we have;
The curve along which point P is moving is, y = x² - 1
The (straight) line along which point Q is moving is, y = x - 3
The domain of the path of point P = All real numbers
The range of the path of point P = -1 < x ≤ ∞
The domain of the path of point Q = All real numbers
The range of the path of point Q = All real numbers
From the graph of the functions created with Microsoft Excel, we have that from point (0, 0) and moving to the positive x-axis, the slope of the path of P increases from 0 to ∞, while the slope of the path Q is constant and equal to 1
Given that the path of P is convex relative to the path of P, the two paths will be closest when they have equal slopes
Therefore at the closest point, for the path of point P, we have;
d(x² - 1)/dx = 1 (the slope of the path of point Q)
2·x = 1
∴ x = 1/2 on the path of point P at the closest point the path of point P to the path of point Q
∴ y = x² - 1 = (1/2)² - 1 = -3/4
y = -3/4
Given that two paths are parallel at the closest point, distance between the two paths is the perpendicular distance from the line y = x - 3 to the point (1/2, (-3/4)), which is given as follows;
∴ The slope of the line representing the perpendicular distance between the two paths = -1
Therefore, the equation of the line in point and slope form is given as follows;
y - (-3/4) = -1 × (x - 1/2)
y = -x + 1/2 - 3/4 = -x - 1/4
y = -x - 1/4
At the coordinates of point Q that makes the distance between the two points have minimum value, we have;
-x - 1/4 = x - 3
∴ 2·x = 3 - 3/4 = 2 1/4 = 9/4
x = 9/8
y = x - 3 = 9/8 - 3 = -15/8
Therefore, the coordinates of point Q that makes the distance between the two points have minimum value = (9/8, -15/8)
Part B
The formula for the length between two points is
[tex]l =\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
The distance, d, between P and Q at the closest point is given as follows;
d = √(((9/8) - (1/2))² + ((-15/8) - (-3/4))²) = √(53/32) ≈ 1.287
The distance between P and Q at the closest point, d ≈ 1.287
can someone awnser me for this
Answer:
1. k (or 1)
2. 12r-20
3. 10n-13
4. -14x
5. -11r
6. 4x+11
Step-by-step explanation:
hope this helps!
brainliest?<3
I need help what’s the answerrr
The answer is 47. Just keep adding 4.
If Anne needs to drink 3.9 liters of water how many bottles would she drink to reach 3.9 liters if the bottles are 10 fl oz (296mL)?
Answer:
she will have to give 2.8 liters
Step-by-step explanation:
given the following sequences : -17 -25 -33 -41... write an explicit formula and find the 28th term in this sequence
Answer:
a(n) = -8n -9
a(28) = -233
Step-by-step explanation:
a(n) = a(1) + (n - 1)d
n is the nth term, a(1) is the first term, d is the common difference.
*d = -25 - (-17) = -8
a(n) = -17 + (n - 1)(-8)
= -17 + (-8n + 8)
= -17 - 8n + 8
= -8n - 9
For the 28th term
a(28) = -8(28) - 9
= -224 - 9
= -233
John tossed a coin 50 times, and it lands on head 27 times and it lands on tails 23 times. What is the relative frequency of landing on heads?
A. 27%
B. 46%
C. 50%
D. 54%
Answer:
D. 54%
Step-by-step explanation:
Find the relative frequency of it landing on heads by dividing 27 by 50, then multiplying it by 100
27/50
= 0.54
0.54(100)
= 54
So, the relative frequency is 54%
The correct answer is D. 54%
the graph linear function f passes through the point (1,-9) and a slope.of -3. what is the zero of f?
Answer:
m = 5 , ( 1 , 1 ) − 3 , ( 1 , 3 ) 3 , (2 ,9 )
Step-by-step explanation:
When the function ƒ(x) = 4x−2 is evaluated for x = 3, the output is:
-4
-6
-16
-none
Answer:
None
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
f(x) = 4x - 2
x = 3
Step 2: Evaluate
Substitute in x [Function]: f(3) = 4(3) - 2Multiply: f(3) = 12 - 2Subtract: f(3) = 10A pizza place offers 10 topping choices for their pizzas. How many different two-topping pizzas can you order?
A. 2
B. 45
C. 90
D. 100
Answer:
B. 45
Just took the test!
PLEASE DON'T IGNORE (geometry)
Find X and arc KGH
Answer:
x = 21°
arc KGH = 228°
Step-by-step explanation:
The sum of the arcs = 360°
9x - 22° + 61° + 5x - 7° + 34° = 360°
combine like terms:
14x + 66° = 360°
subtract 66° from both sides of the equation:
14 x = 294°
x = 21°
arc KGH = 9(21°) - 22° + 61° = 228°