Answer:
(x+1)(x-14)(x+3)
Step-by-step explanation:
The first step in factorising polynomials is to find the smallest factor first. The way to do this is with trial and error. Lets see if x+1 is a factor.
According to the factor theorem, (x-a) is a factor of P(x) if and only when P(a) = 0
In this case we will use f(x) = ((x)^3)-((10x)^2)-53x-42
f(-1) = 0
Therefore (x+1) is a factor of the polynomial.
Now we divide the polynomial with (x+1) via long division to get (x^2)-11x-42.
We now factorise (x^2)-11x-42 using whatever method you would like. I'm going to use the AC method, where we find a number that multiplies to AC and adds to B, In this case AC = -42, and B = -11.
Therefore (x^2)-11x-42 factosied is (x-14)(x+3)
Now merge (x+1) with (x-14)(x+3)
The final answer is (x+1)(x-14)(x+3)
If this has helped, please consider making this the Brainliest answer!
Answer:
(x+1)(x+3)(x-14)
Step-by-step explanation:
=> x³-10x²-53x-42
We'll break 10x² and -53x into parts
=> x³+x²-11x²-11x-42x-42
Taking common
=> x²(x+1)-11x(x+1)-42(x+1)
Taking x+1 as common will make it
=> (x+1)(x²-11x-42)
Using mid term break formula
=> (x+1)(x²-14x+3x-42)
=> (x+1)[x(x-14)+3(x-14)]
Taking (x-14) as common
=> (x+1)(x+3)(x-14)
This is the required factorized form.
Hope it helps :)
Angela is following this recipe to make biscuits.
Angela uses 1.8 l of syrup.
How much margarine is needed in kg?
Recipe: Makes 10 biscuits
150 g margarine
180 g sugar
225 ml syrup
225 g oats
40 g sultanas
Asapppp
Answer : The amount of margarine needed is 1 kg.
Step-by-step explanation :
First we have to convert volume of syrup from mL to L.
Conversion used:
1 L = 1000 mL
or, 1 mL = 0.001 L
So, 225 mL = 0.225 L
Now we have to calculate the amount of margarine needed.
As, 0.225 L of syrup needed 150 g of margarine
So, 1.8 L of syrup needed [tex]\frac{1.5L}{0.225L}\times 150 g=1000g[/tex] of margarine
Amount of margarine needed = 1000 g = 1 kg (1 kg = 1000 g)
Therefore, the amount of margarine needed is 1 kg.
The wheels of a car are of radius 40cm each, if the car is travelling at a speed of 66km/h, find the number of revolutions made by each wheel in 20 minutes
Answer: Each wheel makes 437.5 revolutions in 20 mins
Step-by-step explanation:
Circumference = 2πr
Given that the radius is 40 cm
Circumference = 2π(40) = 80π cm
Find the distance traveled in 20 mins
Speed = 66 km/h
1 hour = 66 km
Rewrite hour into min
60 min = 66 km
1 min = 66 ÷ 60 = 1.1 km
Rewrite km in cm
1.1 km = 1.1 x 10,000 cm = 110,000 cm
Find the number of revolutions in 20 mins:
1 revolution = 80π cm
Number of revolution = 110,000 ÷ 80π = 437.5
HELP ITS ABOUT TRIANGLESSSS. Image is attached Explanation neede plzzz
Answer:
D.
Step-by-step explanation:
So angle 2 = 180 - angle 1
Angle 1 = angle 3 + angle 4.
Angle 2 = 180 - angle 3 - angle 4
So, you can come to the conclusion that (angle 1 + angle 2) = 180°
and (angle 3 + angle 4 + angle 2) = 180°
12:13:14 = 48:x:56
What is x?
Answer:
x = 52
Step-by-step explanation:
You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52
plzzzzz help x_4x+4 = 0
Answer:
x = -1
Step-by-step explanation:
4x + 4 = 0
Subtract 4 on both sides.
4x = 0 - 4
4x = -4
Divide both sides by 4.
x = -4/4
x = -1
Answer:
So the value of x is -1
Step-by-step explanation:
4x+4=0
Subtracting 4 on both sides
4x+4-4=0-4
4x=-4
Dividing 4 on both sides
x=-4/4
x=-1
which of the following is the solution 4|x+3|≥8
Answer: x≥-1 or x≤-5
Step-by-step explanation:
First, divide both sides by 4 to get rid of the 4:
4|x+3|≥8
|x+3|≥2
Next, we know that for |a|≥b, a≥b or a≤-b. Therefore:
|x+3|≥2
x+3≥2 or x+3≤-2
x≥-1 x≤-5
A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will
need. The garden is in the shape of a rectangle with vertices at (3,9) (5, 9) (3, 3) (5,3). Find the total length of border
needed.
Answer:
16ft
Step-by-step explanation:
Each side is 2 units long, 2^4 or 2x2x2x2 is 16.
Points C, D, and G lie on plane X. Points E and Flie on
plane Y
Which statements are true? Select three options.
There are exactly two planes that contain points A,
B, and F.
X
B
There is exactly one plane that contains points E, F,
and B.
A
The line that can be drawn through points C and G
would lie in plane X.
The line that can be drawn through points E and F
would lie in plane Y.
The only points that can lie on plane Y are points E
and
E
Answer:2nd, 3rd and 4th
Step-by-step explanation:
The graphs show the distances traveled by two cars moving at constant rates which unit rate matches these 2 graphs pls helpppp
Answer:
i think is (0.5,25)
Step-by-step explanation:
becuse at the time they have the same speed
Answer:
z
Step-by-step explanation:
z
Polygon A B C D E has 5 sides. Which is a correct description of the polygon?
Answer:
b
Step-by-step explanation:
Answer:
Pentagon
Step-by-step explanation:
what is the ph of a 6.2 x 10-6 M KOH
Answer:
10
Step-by-step explanation:
i have no flipping i think im wrong
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 0.2, 0.4, 0.8, 1.6, 3.2. Which exponential function is represented by the table?
Answer:
D.
Step-by-step explanation:
The exponential function is represented by the table is,
f(x)=0.8(2^x).
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
The first column is labeled x with entries negative 2, negative 1, 0, 1, 2.
The second column is labeled f (x) with entries 0.2, 0.4, 0.8, 1.6, 3.2.
The exponential function is represented by the table is,
f(x)=0.8(2^x).
To learn more on function click:
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Which transformation(s) can map TriangleMNQ onto TrianglePQN?
translation only
reflection only
rotation, then reflection
rotation, then translation
Answer:
Translation
Step-by-step explanation:
Answer:
D. Rotation then translation
Step-by-step explanation:
Can somebody help me with this ?? :)
Answer:
B.
Step-by-step explanation:
ABC ≅ XYZ
∠A≅∠X
∠B≅∠Y
∠C≅∠Z
Also, should be
AB =XY
BC=YZ
CA=ZX
By ASA, ∠A≅∠X, AB =XY, ∠B≅∠Y.
Answer B.
pls Answer my question.
answer it I will make brain list
please answer quickly.
Answer:
sinP = 7/25
cosQ = 7/25
tanP = 7/24
cotQ = 7/24
secP = 25/7
cscQ = 25/24
Step-by-step explanation:
sin∅ is opposite over hypotenuse
cos∅ is adjacent over hypotenuse
tan∅ is opposite over adjacent or sin∅/cos∅
csc∅ is hypotenuse over opposite or 1/sin∅
sec∅ is hypotenuse over adjacent or 1/cos∅
cot∅ is adjacent over opposite or cos∅/sin∅
Since triangle RQP is a right triangle, we can use trig and Pythagorean Theorem: a² + b² = c²
The missing side length RQ after we use Pythagorean Theorem would be 7.
From there, we can find the trigonometric values.
Answer:
Step-by-step explanation:
which graph shows the solutions to the inequality ?
Answer:
the last option is the correct answer
Step-by-step explanation:
the symbol ≥ means greater or equal to. so the direction of line must be heading to the right and must start at -1.
How would you write 4n + 3 as a verbal expression
When we have a number that appears
right before a variable, it means multiplication.
So 4n means the same thing as 4 times a number.
Remember, n is a variable which is just a
letter that represents any number.
Since we are adding 3 to 4n, we can say
4 times a number increased by 3.
So 4n + 3 can be written as 4 times a number increased by 3.
The product is 4n, then the added +3.
4n + 3
4 × n + 3
So the verbal expression can be said as:
''The product of four times a number 'n' added with 3.''
Please help meeeeeeeeeeeeeeee
Answer:
1) B
2) D
3) A
4) B
Step-by-step explanation:
We use a closed/filled in dot in math to represent an inequality where we have ≤ or ≥ and an open dot when its < or >. This is to represent that from the inequality we are also including the = component of the inequality.
After you know this, its pretty simple to work out which way the numbers go on the number line when its greater or less than depending on the question
An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table. here is the graph: Time (years): 0, 1, 2, 3 Value (dollars): 20000, 18000, 16200, 14580
Answer:
D
Step-by-step explanation:
A is not right as we don't know the formula used so we cant say the x intercept
B is not right as the function is not liner
C The function is not liner
That leaves D!
hope this helps!
Answer:
D
Step-by-step explanation:
yooo please help asap!!! marking brainiest!!!
Answer:
[tex] - x {}^{2} - 10 = 34[/tex]
Simple problem
1=95
2=?
3=?
4=?
Answer:
2)85
3)95
4)85
Step-by-step explanation:
all of the insides has to equal 360
what is a graph that has a limited number of data point
Answer:
Line Graph
Step-by-step explanation:
A line graph shows how values change. For example you could plot your growth over time .And lind graphs can show you how functions change.
In a certain Algebra 2 class of 27 students, 5 of them play basketball and 12 of them
play baseball. There are 2 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?
The probability that a student chosen randomly from the class plays basketball or baseball is 0.56.
We are able to utilize the equation:
P(B or b) = P(B) + P(b) - P(B and b)
where
B speaks to playing ball
and b speaks about playing baseball.
From the given data, we have:
P(B) = 5/27 (the likelihood of playing ball)
P(b) = 12/27 (the likelihood of playing baseball)
P(B and b) = 2/27 (the likelihood of playing both sports)
Substituting these values into the equation, we get:
P(B or b) = P(B) + P(b) - P(B and b)
= 5/27 + 12/27 - 2/27
= 15/27
= 5/9
Hence, the likelihood that an understudy chosen haphazardly from the course plays ball or baseball is 5/9 or around 0.56.
To know more about probability refer to this :
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Grace wants to attend University of Oklahoma. One year at University of Oklahoma costs approximately $20,000. She currently has $4,000 in savings. Grace has received a one-time grant of $1,000 and an annual academic scholarship for $4,000. She plans to enroll in the work study program that will pay $9,000 annually for part-time work. How much will Grace need to borrow in student loans in order to attend University of Oklahoma for 4 years?
Answer:
Grace needs to borrow $23,000 in students loan in order to attend University of Oklahoma for 4 years.
Step-by-step explanation:
Cost for one year at University of Oklahoma = $20,000
Cost for 4 years = 4 × $20,000 = $80,000
Total amount Grace would have in 4 years = $4,000 + $1,000 + ($4,000×4) + ($9,000×4) = $57,000
Amount she needs to borrow = $80,000 - $57,000 = $23,000
Please answer quickly! A. There are no errors. All of the expressions are equivalent. B. Expression 1. Sarah can’t apply the Distributive Property if there are three addends. C. Expression 2. Sarah can’t combine -4 and -6. She must combine -4 with 8. D. Expression 3. Sarah applied the Distributive Property but incorrectly multiplied [tex]\frac{1}{2}[/tex] (-6).
Answer:
Option D
Step-by-step explanation:
All the other expressions are correct but in Expression 3 , Sarah incorrectly multiplied 1/2(-6) while destroyed whole of her answer. She forgot to make 3 negative.
help please
2 decks of cards 1st deck has red(R) and black (B)
2nd deck has hearts(H) clubs(C) diamonds(D) and spades(S) how many different combinations are there
Answer:A) (1 x 4) + (1 x 4) = 8
There are 8 possible combinations
B) BC:RD:RS:BH:BS:RH:BD:RC
Step-by-step explanation:
Hope it helps. Step by step in on the top. :)
What is the constant of variation if y varies inversely as x and y = 3 when x = 6? PLZ HELP ME I DONT UNDERSTAND
Answer:
The constant of proportionality (k) is 24
Step-by-step explanation:
if y varies inversely as x
y = k × 1/x
and y = k/x
if y = 4 and x = 6
That means 4 = k/6
and k = 4 × 6
k = 24
Pleaseeee help❤️I would appreciate itttt
Answer:
The correct option are;
i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.
ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C
Step-by-step explanation:
The parameters given are;
Domain: [tex]\{x|-4<x\leq 4, x \in R \}[/tex]
Range: [tex]\{y|-4\leq y< 4, y \in R \}[/tex]
Given that to indicate less than (<) on a graph of an inequality, we draw an circle over the point in reference while to indicate less than or equal to (≤) we draw an circle over the point in reference and shade the point, therefore we have;
Given that x > -4, and ≤ 4, the points B and C satisfies the conditions
Given that the y-coordinates are y ≥ -4, and y < 4, the points D and C satisfies the conditions
Where:
Point B = (4, 4) satisfies x only
Point C = (4, -4) satisfies x and y
Point D = (-4, -4) satisfies y only
Therefore, in order to draw a line segment between two points;
i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.
ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C.
Could someone help me and explain?
Answer:
length 3 inwidth 2 inStep-by-step explanation:
Since none of the answer choices match the drawing of the gardener, we assume the question is referring to the drawing of the partner.
The gardener's drawing is 1/4 of actual size. So, in terms of the gardener's drawing, actual size is ...
gardener's drawing = (1/4)actual size
actual size = 4(gardener's drawing)
__
The partner's drawing is 1/20 of actual size, so is ...
partner's drawing = actual size/20 = (4(gardener's drawing))/20
partner's drawing = (4/20)(gardener's drawing)
partner's drawing = (gardener's drawing)/5
__
Then the {length, width} of the partner's drawing are ...
partner's drawing {length, width} = {15 in, 10 in}/5 = {3 in, 2 in}
The partner's drawing has a length of 3 inches and a width of 2 inches.
If 8 km = 5 miles, convert 720 km into miles.
Answer:
450 miles
Step-by-step explanation:
5 miles = 450 miles
8 km = 720 km
Answer:
450 mi
Step-by-step explanation:
8km=5mi
720km/8km=90
8km (90)=5mi(90)
5mi(90)