What is the missing number in the synthetic division problem below?
23 -22 4
6 8 20
3 4 ? 24
A. 2.
B. 8
a
C. 10
D. -6
Answers
Given:
A synthetic division problem.
To find:
The missing number it in the given synthetic division problem.
Solution:
The given synthetic division problem is:
[tex]3|\overline{3\quad -2\quad 2\quad 4}\\[/tex]
[tex]\quad 6\quad 8\quad 20\\[/tex]
[tex]\overline{3\quad 4\quad ?\quad 24}[/tex]
In synthetic division, we need to add first and second row to get the bottom row.
[tex]3+0=3[/tex]
[tex]-2+6=4[/tex]
[tex]4+20=24[/tex]
Similarly,
[tex]2+8=10[/tex]
Therefore, the missing value in the given synthetic problem is 10. Hence, the correct option is C.
Related Questions
Select the correct answer. (And pls no link)
Compare the two functions.
f(x)= 1/50(3)^x
g(x)=1/5x^2
Answers
Answer:
20 is right
Step-by-step explanation:
to easy I know maths
Answer:
When your comparing the two functions.
F(x)= 1/50(3)^x
G(x)=1/5x^2
When you compare it i think it would be C
PLEASE DONT QUOTE ME ON THIS
Step-by-step explanation:
ANSWER ASAP TEST IN ONLY 45 MINUTES
Simplify the expression. 5 + 5(x – 4) – 7x
a) 2x + 25
b) -2x - 25
c) -2x - 15
d) 2x + 15
Answers
Answer:
-2x-15
Step-by-step explanation:
Answer: C. -2x-15
Step-by-step explanation: 5 + 5(x – 4) – 7x
5(x-4)-7x+5
(5x-5×4)-7x+5
5x-20-7x+5
5x-7x-20+5
-2x-15
PLEASE HELP WILL GIVE BRAINLIST
Answers
Answer:
B
Step-by-step explanation:
∠ 3 and ∠ 8 are alternate angles and are congruent, then
6x + 3 = 4x + 29 ( subtract 4x from both sides )
2x + 3 = 29 ( subtract 3 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13 → B
plz help i beg uu. Will give branliest
Answers
Find the cosine of 300°. Round your answer to the nearest hundredth, if necessary.
-0.87
-0.5
0.5
0.87
Answers
Answer:
option C . 0.5
Step-by-step explanation:
[tex]cos 300 = cos(2\pi - 300 ) = cos( 360 - 300) = cos 60 = 0.5[/tex]
Using the formula :
[tex]cos\theta = cos (2\pi - \theta )[/tex]
C= 0.5
Step-by-step explanation:
Write the regression line equation for the following data.
X 43 21
25 42 57 59 33
Y 99 65 79 75 87 81
92
A) 0.53x - 3.58
B) 0.31x + 70.21
70.21 +0.31%
D) -3.58 +0.53x
Answers
Answer:
B) y = 0.31x + 70.21
Step-by-step explanation:
Put the data into 2 lists and use the LinReg feature on the TI-84 to get your regression equation.
What strategies do you use when measuring the volume of a rectangular prism? Share your thinking using 2-3 sentences.
Answers
you wanna know my strategy? I grab a hammer, smash the rectangular prism open, and drink its insides and see how much my stomach fills. EZ.
PLEASE HELP ME!!! ILL GIVE BRAINLIEST IF ITS RIGHT
Answers
Answer:
266.386
Step-by-step explanation:
im not shore if its right, i used a surface area calculator
Answer:
56ft
Step-by-step explanation:
Surface area is adding up all the sides multiplied by 2, so:
8 x 2 = 16ft
8 x 2 = 16ft
12 x 2 = 24ft
24ft + 16ft + 16ft = 56ft
The mean area µ of the several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion. The appropriate null and alternative hypotheses, H0 and Ha, for this test are
Answers
Answer:
The appropriate null hypothesis is [tex]H_0: \mu = 1250[/tex]
The appropriate alternate hypothesis is [tex]H_a: \mu < 1250[/tex]
Step-by-step explanation:
At the null hypothesis, we test if the mean area is the advertised area of 1250 square feet, that is:
[tex]H_0: \mu = 1250[/tex]
A tenant group thinks that the apartments are smaller than advertised.
Smaller, thus, at the alternate hypothesis, we test if the mean area is less than the advertised area of 1250 square feet, that is:
[tex]H_a: \mu < 1250[/tex]
ANSWER ASAP PLEASE!!! TY:)
Answers
Answer:
Volume of triangular prism is given by formula
Volume of triangular prism = (Area of the base) x 12 (height of the prism)
now plug the given values
216= (area of the base) x 12
216/12 = area of the base
18= area of the base
so, the answer is 18 square cm
what is the answer to my problem
Answers
There are 64 students in a class. 40 of them passed in Mathematics, 32 passed in Science and 15 passed in Mathematics as well as Science. How many students were unsucessful in both subjects ? (with process)
Answers
Answer:
7 students
Step-by-step explanation:
64 - (40+32-15) =
64 - (72-15)=
64-57 = 7
A 17-foot ladder is leaning against a building. The base of the ladder is 8 feet
from the base of the building. The side of the building and the ground form
a right angle as shown.
Enter the distance between the ground and the top of the ladder, x, in feet.
Answers
Answer:
Pythagorean theorem:
x^2 = 17^2 - 8^2
x^2 = 225
x = sqrt(225) = 15
The distance is 15 ft
Answer:
Solution given:
base=8ft
hypotenuse=17ft
perpendicular=?
By using Pythagoras law
hypotenuse ²=perpendicular ²+base²
17²=perpendicular ²+8²
perpendicular ²=17²-8²
perpendicular=[tex]\sqrt{225}=15[/tex]
the distance between the ground and the top of the ladder, x is 15ft.Solve for r. Round to the nearest tenth of a degree, if necessary. P 5 3.1 Q R
Answers
51.7
Explanation:
Help, please!! I don’t have much time
Answers
Answer:
B.
Step-by-step explanation:
Question 32 The numbers represented by variables a and c, on the number line, are integers. if c > b > a, under which of the following conditions could the expression b < -1 be true? when a = -4 and c = 0 B when a = - 1 and c = 3 OO C when a O and c 8 when a 1 and c = 2
Answers
The number line inequality will be true for the following condition given in this problem:
When a = 0 and c = -8.
How are real numbers represented on a number line?On a number line, real numbers increase from left to right, meaning that:
Large negative numbers come before small negative numbers, which come before small positive numbers, and finally, come the large positive numbers.
For this problem, the inequality is:
c > b > a.
Which means that:
c is to the left of b.b is to the left of a.We have that b < -1, hence:
c < -1 (can be -2, -3, -4, and so on...).a > -1 (can be 0, 1, 2, 3, and so on)...Then the conditions that make the statement b < -1 true are given as follows:
When a = 0 and c = -8.
More can be learned about number line inequalities at https://brainly.com/question/24372553
#SPJ1
if f(x)=35x+25
and g(x)=22x+18
find 5f(4)+2g(10)
Answers
Answer:
1301
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 35x + 25
g(x) = 22x + 18
f(4) is x = 4 for function f(x)
g(10) is x = 10 for function g(x)
Step 2: Find Function Values
f(4)
Substitute in x [Function f(x)]: f(4) = 35(4) + 25Multiply: f(4) = 140 + 25Add: 165g(10)
Substitute in x [Function g(x)]: g(10) = 22(10) + 18Multiply: g(10) = 220 + 18Add: g(10) = 238Step 3: Evaluate
Substitute in function values: 5(165) + 2(238)Multiply: 825 + 476Add: 1301formula of slope , if angle is give
Answers
Answer:
formula of slope if angle is given:
Tan (angle given)
Step-by-step explanation:
Given circle Q with a measure of SR= 120° and a radius of 9 feet, as shown below.
Determine the arc length of SR. Use mathematics to explain how you determined your answer
Has photo ❤️
Answers
Answer:
18.84feet
Step-by-step explanation:
Length of an arc = rtheta
radius r = 9feet
theta = SR= 120°
Convert theta to radians
theta = 120π/180
theta= 2π/3
Length of the arc = 9 * 2π/3
L = 18π/3
L = 6π
L = 6(3.14)
L = 18.84feet
Hence the length of the arc is 18.84feet
The following pie chart represent the number of valid votes by four students the total no of voters is 720. A) who has won and by how many votes B) who got the minimum c) how man votes are obtained
Plz hurry plz I need urgently
Answers
Answer:
I only know this much.....
A) Deepthi has won the election.
B) Rashmi got minimum number of votes.
What is the volume of the following rectangular prism?
8/3units
21/2units2
Volume =___ units3
Answers
Answer:
73.5
Step-by-step explanation:
Step 1: 21/2 divided by 2 = 21/4
Step 2: 21/4 times 21/4 times 8/3 =
Answer: 73.5
The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.
anong uri ito ng NGO/PO?
Answers
[tex]_____________________________________[/tex]
ANSWER:Ang uri ng NGO/PO ay isang magagalang na salita saating bansa at ito ay dapat gamitin sa mga nakakatanda saatin upang sa paggalang.Akala ko ako lang Pilipino dito
[tex]_____________________________________[/tex]
꧁____YunaKoharuChan____꧂Easy 6th Grade Math. Help me out for 100 points <3
Answers
Answer:
the answer is 33
Step-by-step explanation:
for every 2 Illustrations there are 3 texts meaning if there is 22 Illustrations there would be 33 texts
Answer:
33 text
Step-by-step explanation:
Text : illustrations
3 2
For every 3 text, there are 2 illustrations
We have 22 illustrations so we need to multiply by 11
Text : illustrations
3*11 2*11
33 22
We need 33 text
Determine the missing side length of the triangle please and thank you!
Answers
Answer:
90
Step-by-step explanation:
It is a right angle
Answer:
8.944
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} =c^{2} \\x^{2} +8^{2} =12^{2} \\x^{2} = 12^{2} -8^{2}\\x=8.944[/tex]
how many times larger is the 3 in 3,612 as in 1,347
Answers
Answer:
2700
Step-by-step explanation:
3 in 3612 is thousands
3in 1347 is hundreds
3000 - 300
= 2700
Returns on stock X are listed below: Period 1 2 3 4 5 6 7 Stock X 6% 5% -2% 10% 3% 8% -4% What is the mean of the data?
Answers
Answer:
The mean of the data is of 3.7143%.
Step-by-step explanation:
Mean of the data:
Sum of all returns divided by the number of returns.
Returns:
6% 5% -2% 10% 3% 8% -4%
7 returns.
Sum: 6 + 5 - 2 + 10 + 3 + 8 - 4 = 26%
Mean: 26%/7 = 3.7143%
The mean of the data is of 3.7143%.
If your Gross Pay for a week at work is $340, and you have to pay 23% in taxes, what is your Net Pay (what you take home)?
Answers
Answer:
$261.80 Net pay
Step-by-step explanation:
340 x 0.23 = $78.20 in taxes
$340 - $78.20 = $261.80 Net pay
Answer:
$261.8 Is how much you take home.
Step-by-step explanation:
(* is multiply)
In order to find the percentage of a value, you multiply the value by the percent. Think of 100% as a scale of 1 to 0.00, since 100% of something has all of it's value, so 50% would be 0.5
23% of 340 is 78.2 ( 340 * 0.23)
Subtract 340 by 78.2, and you get your net pay, 261.8
Another way to do this is subtract 100% by 23%.
so 1 - 0.23= 0.77, which is how much percent of that pay you get to keep
so 340 * 0.77 = 261.8
Adding and subtracting unlike fractions in word problems
Ben is making waffles for his friends. the recipe calls for 2/3 cup of bleached flour and 1/4 cup of wheat flour. what is the total amount of flour Ben needs to make the waffles?
what operation is needed to solve this problem?
A) -
B) +
C) ÷
D) ×
Answers
Explanation:
Since your lesson is test is mainly about “adding and subtracting unlike fractions in word problems” then why not choose B?
The question is asking for the TOTAL amount of flour, then the given ingredients are both flours. So you will need to add them.
A brainliest would be nice!
-SpaceMarsh
Matti built a greenhouse in his backyard as shown below. A triangular prism with a rectangular base. The prism has a base of 7 feet by 15 feet. The height is 7 feet. The side lengths are 7.8 feet. How much cubic space is in Matti's greenhouse? 191.1 ft 367.5 ft 382.2 ft 735.0 ft
Answers
Answer:
Capacity of Matti's green house = 367.5 cubic feet
Step-by-step explanation:
Given:
Base Width and Length = 7 feet by 15 feet
Height of prism = 7 feet
Find:
Capacity of Matti's green house
Computation:
Capacity of Matti's green house = Volume of rectangular base[triangular prism]
Volume of rectangular base[triangular prism] = Area of triangular base x Height
Capacity of Matti's green house = [(1/2)(7)(7)][15]
Capacity of Matti's green house = [(1/2)(49)][15]
Capacity of Matti's green house = [(24.5)][15]
Capacity of Matti's green house = 367.5 cubic feet
Answer:
367.5 Cubic ft3
Step-by-step explanation:
Just look at the other persons explanation
(Please give them brainliest)
(X+4) • (3x)
(Help answer this )
Answers
Answer:
3x^2 +12x
Step-by-step explanation:
(x+4) • (3x)
Distribute
3x*x + 3x*4
3x^2 +12x