If g(x) = 2x2 + 6x + 5, use synthetic division to find g(-5).
Answers
=================================================
Explanation:
Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).
Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.
As a way to check the answer, we can say
g(x) = 2x^2 + 6x + 5
g(-5) = 2(-5)^2 + 6(-5) + 5
g(-5) = 25
So the answer is confirmed.
Related Questions
I have no idea how to find the values of x and y in that diagram. Can someone help?
Answers
Answer:
Multiple choice?
Step-by-step explanation:
If the domain of the function y =2x + a
is the set of all real numbers except x = 5, find the value of a.
Answers
Answer:
a=-10
Step-by-step explanation:
y=2x+a ,at x=5
y=2(5)+a
y=10+a
where y=0
10+a=0
a= -10
During the first week of a certain month, a computer store sells 11 computers. A sale begins on the second week of the week and during the second week the computer store sells 17 computers. What was the percent increase in sales from the first week of the month to the second week of the month ?
Answers
Answer:
The percentage increase in sales is 54.45%
Step-by-step explanation:
Here, we want to calculate the percentage increase
mathematically the increase in sales is 17-11 = 6
The percentage increase is ;
6/11 * 100% = 54.45%
An elevator travels 310 feet in 10 seconds. At that speed, how far can this elevator travel in 14 seconds?
Answers
Answer:
434
Step-by-step explanation:
To find the answer you divide 310 by 10 to get it's feet per second (f/s) which is 31, and then you multiply 31 by 14 to get the distance the elevator will travel in 14 seconds.
Mark brainliest pls :)
Answer:
434 feet
Step-by-step explanation:
310 divided by 10 = 31
31 times 14 = 434 feet
Factor 6x + 30 to identify equivalent expressions. Select all that are equivalent expressions.
2(3x + 15)
6(x + 30)
6(x+5)
3(2x + 10)
PLEASE HELP
Answers
Answer:
6(x+5)
Step-by-step explanation:
what is the quotient of -0.05 ÷ -5/16
Answers
Answer:
Step-by-step explanation:
-0.05 you will multiply with reversal of -5/16
-0.05 x (-16/5)= 0.01x16=0.16
Solve for u.
200 = 125 - u
Answers
Answer:
-75
Step-by-step explanation:
200 = 125-u
75 = -u
u = 75
Which expression is equivalent to
7 + (3 + 11)
———————
-5+ 8
(Picture included)
HELP ASAP!!
Answers
Answer:
7
Step-by-step explanation:
start by adding 3+ 11 in the parenthesis, that should give you 14. now you should have 7 + 14 over -5 + 8.
-5 + 8 = 3 (another way to look at this problem is, 8 -5)
7+14 = 21
you should now have 21 over 3
to simplify this divide 21 by 3, this should give you 7
Answer: 21 divided by 3
Step-by-step explanation:
If you solve the top and the bottom you get 21 for the top and 3 for the top and you can divide 21 by 3 and get 7. You can double check the math if you want, hope this helps!
At a regional soccer tournament, tickets for two adults and seven students cost $60. Tickets for three adults and eleven students cost $93. Determine the price of an adult ticket and the price of a student ticket.
The price of an adult ticket is $, and the price of a student ticket is $
Answers
Answer:
The price of an adult ticket is $9 and the price of a student ticket is $6
Step-by-step explanation:
Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:
2x + 7y = 60
3x + 11y = 93
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:
6x + 21y = 180
-6x - 22y = -186
Add them together:
-y = -6
y = 6
Then, plug in 6 as y into one of the equations to solve for x:
2x + 7y = 60
2x + 7(6) = 60
2x + 42 = 60
2x = 18
x = 9
So, the price of an adult ticket is $9 and the price of a student ticket is $6
At Samantha's Hats, there are 12 baseball caps and 4 other hats. What percentage of the hats are baseball caps?
Answers
PLEASE ANSWER I WILL GIVE BRAINLIEST
Answers
Answer:
24/32
Step-by-step explanation:
just multiply the bottom number until 32 the as much times you multiplie the denominator that how much times you multiplie the numerator
Answer:
6:8 = 24:32
Step-by-step explanation:
Enter your answer as as 'x=NUMBER'
-8 - 3x + 8 = 27
Answers
Answer:
x= -9
Step-by-step explanation:
-8-3x+8=27
-8+8=0
-3x=27
divide by -3 both sides
27÷-3= -9
x= -9
A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to see the top of the building. There is a radio antenna on the top of the building. The angle of elevation of the top of the radio antenna is 45°.
Answers
Answer:
30 angels
Step-by-step explanation:
Can someone please help me please this is turned in like in a couple of minutes !!!!!!!!!!!!!!!
Answers
Answer:
1) 3 teaspoons
2) 16 tablespoons
3) 4 tablespoons
4) 16 oz
5) 4/6 or 2/3
6)2 cups
7) 4 cups
8) 4 quarts; 16 cups
9) 8 fl oz
10) 1
Step-by-step explanation:
in desperate need of help , please help lol
Answers
Answer:
No, the figures are not similar.
Step-by-step explanation:
In order for the figures to be similar, in object B, the line labeled as 20 would need to be 10.
let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)
Answers
Answer:
(f - g)(x) = -x² + 3x + 5
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 3x + 5
g(x) = x²
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = 3x + 5 - x²Rewrite: (f - g)(x) = -x² + 3x + 5if cos θ - sin θ = √2 sin θ, then prove that cos θ + sin θ = √2 cos θ.
Answers
Step-by-step explanation:
cos θ - sin θ = √2 sin θ
cos θ + sin θ = √2 sin θ + 2sin θ
cos θ + sin θ = √2(sin θ + √2sin θ)
cos θ + sin θ = √2 cos θ. (Proven)
Help please
Which of the following reasons would justify Statement 4?
Answers
Which of the following is an equivalent expression for -18x − 6?
A.
-6(3x + 1)
B.
-3(6x − 2)
C.
-3(6x − 3)
D.
-6(3x − 1)
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
its d
Step-by-step explanation:
Calculate the sale price for each item.
8. A ring that is $75.50 and 30% off.____
9. A pair of shoes that are $40.99 and 25% off.________________________________
10. A tie that is $30.00 and is 40% off.__________________________________________
Answers
Answer:
8. $52.85 you'll save $22.65
9. $30.74 you'll save $10.25
10.$18.00 you'll save $12.00
Step-by-step explanation:
Answer:
8. $52.85 saved$19.65
9. $30.74 saved$10.25
10. $18.00 saved$12.00
help pls to get brainiest
Answers
Answer:
x= -3
Step-by-step explanation:
Answer:
3 (x+5) =6 (use the distributive property)
3x + 15 = 6 ( subtract 15 from both sides to isolate the x-term)
3x = -9 (divide both sides by 3 to get x alone)
x= -3 (the answer )
If 16 horses eat 5 stacks of hay in 35 days, how many horses can eat 4 stacks of hay in 8 days? Math question
Answers
Answer:
The number of horses that can eat 4 stacks of hay in 8 days = 56 horses
Step-by-step explanation:
The given parameters are;
The time it takes 16 horses to eat 5 stacks = 35 days
Therefore;
The time it takes 16 horses to eat 5/5 stacks (1 stack) = 35 days/5 = 7 days
The time it takes 16 horses to eat 1 stack of hay = 7 days
The time it takes 16 horses/16 to eat 1 stack of hay = 7 days × 16 = 112 days
Therefore;
The time it takes 1 horse to eat 1 stack of hay = 112 days
The time it takes 1 horse to eat 4 × 1 stack of hay = 112 days × 4 = 448 days
The time it takes 1 horse to eat 4 stacks of hay = 448 days
Therefore, given that (448 days)/(8 days/horse) = 56 horse, we have;
The number of horses that will eat 4 stacks of hay in 8 days = 56 horses.
What is 1/2 times 14x
Answers
Answer:
7x
Step-by-step explanation:
This quantity is the same as obtained when dividing 14x by 2: 7x
Simplify 2.1 + (-3.7m) + 1.9m - 1.4
Answers
Answer:
-1.8m + 0.7
Step-by-step explanation:
A jeweler uses 5.2 ounces of gold inside of a ring and 2.5 ounces to decorate it. If the jewelery has 42.35 ounces of gold, what is the greatest number of rings that can be made?
Answers
Answer:
5.5 rings
Step-by-step explanation:
Now I don't really know if this is right but to get the answer we need to know how much ounces of gold the jeweler need to make a ring and that would be 7.7 ounces of gold. Than divide 42.35 ounce by 7.7 ounces which would get you 5.5 ounces. Hopefully this helped :)
Answer:
5 rings
Step-by-step explanation:
Hope this helps
Please Help!
I've solved parts of the equation but I don't understand what to do next :(
Could someone please help me and give an explanation of what do do please!?
Thank you!
Answers
Step-by-step explanation:
please see it my step work solution
BRO CAN ONE PERSON HELP ME WITH THIS QUESTION THIS IS MY LAST QUESTION ON THIS GD TEST PLZ I'LL GIVE BRAINLIEST IF YOU ANSWER RIGHT AND HAVE AN EXPLAINATION.
Solve C=59(F−32) for F
Answers
Answer:
F = C/59 + 32
Step-by-step explanation:
Choose all of the transformations that are rigid motions.
Answers
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and rotation.
Rigid transformations are transformation that produces an image with the same size, shape and angle as the original object. Rigid transformations are translation, rotation and reflection.
Dilation is not a rigid transformation.
All the transformations attached are rigid transformations.
please help ill mark brainliest if correct
Answers
The answer is A) (3.1, 2.2)
Answer:
A
Step-by-step explanation:
Given the 2 equations
y = 2x - 4 → (1)
2x + 4y = 15 → (2)
Substitute y = 2x - 4 into (2)
2x + 4(2x - 4) = 15 ← distribute and simplify left side
2x + 8x - 16 = 15
10x - 16 = 15 ( add 16 to both sides )
10x = 31 ( divide both sides by 10 )
x = 3.1
Substitute x = 3.1 into (1) and evaluate for y
y = 2(3.1) - 4 = 6.2 - 4 = 2.2
solution is (3.1, 2.2 ) → A
What appears to be the range of the part of the function shown on the grid?
(A) g(x) = 2x
(B) g(x) = x - 3
(C) g(x) = x - 8
(D) g(x) = 2x - 8
Answers
Answer:
D) g(x) = 2x-8
Step-by-step explanation: