Answer:
[tex] {x}^{3} + 2 {x}^{2} - 15x \\ x( {x}^{2} + 2x - 15) \\ x( {x}^{2} + 5x - 3x - 15) \\ x(x(x + 5) - 3(x + 5) \\ x((x + 5)(x - 3)) \\ {x}^{2} -7x + - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ 3 {x}^{2} - 27 \\ 3( {x}^{2} - 9) \\ 3((x + 3)(x - 3)) \\ \\ the \: hcf \: = (x + 3)[/tex]
a ring is now reduced to £840
this is saving 40% of the original price
work out the original price of the ring
Answer:
The original price of the ring is 1400 pounds. So, 100 pounds is equivalent to= (840/60)* 100 = 1400 pounds.
Answer:
1400 pounds
Step-by-step explanation:
the ring is now worth 60% of its original price
the percentage in decimal is equal: 60% = 0.6
[tex]\frac{840}{0.6} =1400[/tex]
Hope this helps
Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)
Answer:
See Below:
Step-by-step explanation:
So, first of all. to find the equation of the line, the equation has to be in [tex]y=mx+b[/tex] form. In this for the following are:
[tex]m[/tex] is the slope of the line[tex]b[/tex] is the y interceptSolving
So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).
To solve for the slope, we can use rise over run to find the equation.
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Upon inserting our points into the equation, we get a slope of -1.
[tex]\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1[/tex]
Creating The Equation
To create the equation in [tex]y=mx+b[/tex] form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.
[tex]y=-1x-2[/tex]
We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.
We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.
Cheers!
4(t²-5t) + 3u³ when t=4 and u=5?
ASAP
Answer: 359
Step-by-step explanation:
4(t²-5t) + 3u³ plug in the t and u
= 4[4²-5(4)] + 3(5)³
= 359
What is the slope for this table?
=======================================================
Explanation:
Pick any two rows you want. I'll pick the middle two rows where every value is positive. So I'll pick these two rows:
x = 0 and y = 4x = 1 and y = 1They lead to the points (0,4) and (1,1). Apply the slope formula for these rows.
m = (y2-y1)/(x2-x1)
m = (1-4)/(1-0)
m = -3/1
m = -3
The slope is -3
Answer:
is not proportional
Step-by-step explanation:
10/-2= -5
7/-1=-7
4/0=0
1/1=1
-2/2=-1
-5/3= -1 2/3
please answer fats i need it hurry
Answer:
78 inStep-by-step explanation:
26 * 3 = 78 in
I WILL MARK BRAINLIST IF CORRECT !!
Explain why opening a parachute can slow a skydiver down to a safe landing speed. You can add drawings to aid your explanation
Answer:
There is no air resistance acting in the upwards direction, and there is a resultant force acting downwards. ... There is no resultant force and the skydiver reaches terminal velocity. When the parachute opens, the air resistance increases. The skydiver slows down until a new, lower terminal velocity is reached.
Step-by-step explanation:
At the grocery store, 3 apples cost $0.65. What is the cost of 8 apples?
Answer:
$1.76
Step-by-step explanation:
First we need to figure out the cost of one apple.
To do this, divide the cost by the amount.
That's .65/3, which equals .216666, but we should round that number to .22
So if one apple is 22 cents, and we need to know how much money 8 apples is, we times .22 by 8, which gives us 1.76
Hope this helps :))
At the grocery shop, the cost of 3 apples is $0.65 then the cost of 8 apples is $1.76.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
The given information in the question,
The cost of 3 apples = $0.65
The cost of 1 apple = $0.65/3 = $0.22
The cost of 8 apples = $0.22 × 8 = $1.76.
To know more about Expression:
https://brainly.com/question/14083225
#SPJ3
Identify next three numbers in this sequence: 2, 8, 4, 16, 12
Answer:
2, 8, 4, 16, 12, 30, 26, 50
Step-by-step explanation:
The first is determinate the different ([tex]d[/tex]) between each consecutive value ([tex]a_n - a_{n-1}[/tex]).
[tex]8 - 2 = 6\\4 - 8 = -4\\16 - 4 = 12\\12 - 16 = -4\\[/tex]
How you can see when the position of the number in the sequence is odd you have to sum a number [tex]6x[/tex] and when the position of the number in the sequence is a even number you have to substract -4.
Why [tex]6x[/tex]? If you see the first two odd position numbers in the sequence are multiples of 6, then we made the deduction that each time that you sum a number this is a multiply of 6 and -4 is constant for each position even number.
Then for each odd position number in the sequence it's representation is of the form:
[tex]a_{n-1} + 6x = a_n[/tex]
Where [tex]a_{n-1}[/tex] is the number of before, [tex]x[/tex] the odd position of the number in the sequence and [tex]a_n[/tex] is the current value of [tex]a_n[/tex]
So the rest of the sequence is of the next form:
[tex]12 + 6(3) = 30[/tex]
[tex]30 -4 = 26[/tex]
[tex]26 + 6(4) = 50[/tex]
So the final answer is [tex]\{30, 26, 50\}[/tex]
Please solve this! NO ROBOTS!
Answer: 54° or 40°, depending on my interpretation of the problem.
Step-by-step explanation:
I do not understand the drawing. I see a right angle with a line bisecting it at 36 degrees. A right angle is 90°, so the other angle should be (90 - 36) or 54°. But what's shown is (14 - 1)°, and I don't know how to interpret that. Is the "1" supposed to be an "x"? If so, x = 40°
what is halfway between 140,000 and 150,000
Answer:
145000
Step-by-step explanation:
(150000-140000)÷2=10000÷2
=5000
140000+5000=145000
Answer:
145,000
Step-by-step explanation:
To find halfway between two numbers is the same as finding the mean of two numbers.
140,000+150,000=290,000
290,000/2
=145,000
Hope this helps :)
A sporting goods store is having a 15% off sale on all items. Which functions can be used to find the sale price of an item that has an original price of x ? You may choose more than one correct answer.
y = .85 x
ƒ( x ) = 1.15 x
Sale = Original - 15
ƒ( x ) = x - .15 x
Sale = Original - .15(Original)
Answer:
the answer is f(x) =x-0.15x
Step-by-step explanation:
find the measure of all the angle b’s pls. pretty pretty please. if you do all four ily. #desperate.
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I'll be helping you today :D. I hope you are having a nice day.
Theorums
To solve the problem, since it is in the field of Geometry, there is bound to be theorums and basic knowledge that we need to know, upon seeing this problem what we need to know are:
Supplementary Angles: When two angles add up to 180 degrees.
Complementary Angles: When two angles add up to 90 degrees.
Interior/Exterior Angles Theorum.
Right Angles.
Solving
So to solve this, I'll first start with number 11. In this, we need to solve for B and we are given the first angle and b as the second angle.
What we can do is first we know that it is a Complementary angle as we know 65 degrees + b has to equal to 90 degrees.
Upon solving that, we know that B for the first one is
[tex]90=b+65\\b= 25[/tex]
We know that b is 25 degrees for the first one.
For the second one, we know that due to the interior/exterior angles theorem that 80 + b has to equal to 180 degrees due to the int/ext angles theorem and supplementary angles.
[tex]180=80+b\\b=100[/tex]
We know that b is 100 degrees.
For the third one, we know the entire thing is 360 degrees. Since we know that, we can solve for b as we have all the angles needed.
[tex]244+23+b=360\\b=93[/tex]
Upon solving, we know that b is 93 degrees.
For the final one, due to vertical angles, b is equal to 48 degrees!
Feel free to ask any questions you have in the comments!
Cheers!
A graph is shown below:
Whích of the following inequalities is best represented by this graph? (4 points)
Answer:
5x -y ≥ 2
Step-by-step explanation:
The slope of the boundary line is positive, so the x- and y-coefficients will have opposite signs when the equation is written in standard form (eliminates choices A, B).
The graph is shaded for x-values greater than those on the boundary line, so the form of the desired equation will be ...
ax -by ≥ c . . . . . for some positive values of a, b, c
This eliminates choice C and indicates the correct choice is the last one:
5x -y ≥ 2
help me brain pt Part 4
Answer:
Its an acute bc an acute angle is less than 90 degree
Consider the hypotenuse of a right triangle with two legs that are two inches and one inch long, respectively. The length of the hypotenuse, in inches, is between which pair of the following fractions?
a 9/4 10/4
b 17/8 18/8
c 14/4 15/4
d ¼ ⅓
e ¾ 5/4
Answer:
b
Step-by-step explanation:
Pythagoras formula for the relation of the side lengths of a right-angled triangle :
c² = a² + b²
c is the Hypotenuse (the side opposite of the 90 degree angle). a and b are the "legs".
so, we have here
c² = 1² + 2² = 1 + 4 = 5
c = sqrt(5) = 2.236067977...
so, answer option c is too big (values bigger than 3).
answer options d and e are too small (values smaller than 2).
a
9/4 = 2.25
10/4 = 2.5
this is also too big .
that leaves us with b
17/8 = 2.125
18/8 = 9/4 = 2.25
that is correct
23. Multiple Choice Luis wants to make a deck that is similar to one that is 10 feet
long and 8 feet wide. Luis's deck must be 18 feet long. What must its width be?
A 20 feet
B 16 feet
C 14.4 feet
0 22.5 feet
Help me out I need it be great
Answer:
A.
How many tiles will you put in each row? 9
How many rows will you make? 3
B.
9x3=27
C.
9 models the amount of tiles in each row
3 models the amount of rows
27 models the total number of chairs/tiles
Step-by-step explanation:
What is the measurement of this angle?
Answer:
I believe it is 82.
Step-by-step explanation:
This is because a triangle's angles add up to 180. 180-65-33=82
Sorry if this is wrong
Solving the quadratic equations using by completing the square.
Step-by-step explanation:
1-
(x+3)(x+5)=0
2-
(x-3)(x+1)=0
3-
(x-2)(x+2)=0
4-
(x+3)(x-1)=0
5-
(x-4)(x+8)=0
if it is right
please give me a brainlest
which process do you preferred in identifying if the binomial is a factor of the polynomial?
Step-by-step explanation:
Remainder Theorem states that if polynomial f(x) is divided by a linear binomial of the for (x - a) then the remainder will be f(a). Factor Theorem states that if f(a) = 0 in this case, then the binomial (x a) is a factor of polynomial f(x).
what is the slope of the line parallel to the line whose equation is -y = -4x + 7 ?
Hello there!
Parallel lines have the same slope.
So if one line has a slope of 4, then the slope of the line parallel to it has a slope of 4 as well.
Hope it helps!
Please mark Brainliest!
~Just a determined gal
[tex]MysteriousNature[/tex] here to help
Can someone pls help me
Solve for x
Please show ur work
Answer:
-2=x
Step-by-step explanation:
110º=(x+112)º
110=x+112
Subtract 112 from both sides of the equation.
-2=x
Hope this helps :)
Answer:
[tex]x = - 2[/tex]
Step-by-step explanation:
We can make this an equation
[tex]x + 112 = 110 \\ x = - 2[/tex]
The school store sells Midville High T-shirts for $12 each and Midville High gym shorts for $9 a pair. One afternoon they sold a total of 53 T-shirts and pairs of shorts for a total of $570 . How many T-shirts did they sell and how many pairs of shorts did they sell?
Answer:
The store sold 21 T-shirts and 18 pairs of shorts.
Step-by-step explanation:
x = the number of T-shirts sold
y = the number of pairs of shorts sold
x + y = 53
12x + 9y = 570
x = 21 T-shirts
y = 18 shorts
Find the perimeter, in feet, of the rhombus.
32 feet
60 feet
34 feet
68 feet
Answer:
68ftStep-by-step explanation:
The formula of a perimeter of a rhombus:
P = 4a
a - length of side
We have a = 17ft
P = 4 · 17ft = 68ft
56 - 8 (1/4+2 / 1-3/5)
Simplify the complex fraction in the given expression.
Simplify the complete expression.
[tex]56-8(\frac{\frac{1}{4}+2 }{1-\frac{3}{5} })= 56-8(\frac{2,25}{0,4 })= 56-8.(5,625)=56-45= 11[/tex]
ok done. Thank to me :>
Mrs. Williams is cleaning her classroom. While cleaning, she found 771 Legos out of a pack of 1,000. How many Legos does she have left to find?
Answer:
229
Step-by-step explanation: do 1000-771 and u get the answer
Answer:
229
Step-by-step explanation:
To find how many are left, do the total minus the amount found:
1000 - 771 = 229
7
Use synthetic division to divide and write the quotient.
(9x² + 22 x - 15)+(x+3)
Which equation represents a line that passes through (-9, -3) and has a slope of -6? - = y-9 = -6(x-3) y + 9 = -6(x + 3) y-3 = -6(x-9) O y + 3 = -6(x + 9) = x
Answer:
(y+3)=−6(x+9) ( y + 3 ) = − 6 ( x + 9 )
Step-by-step explanation:
A fish is at 12.85m below sea level and a turtle is at 3.5m right above the fish. State the position of the turtle.
Answer:
9.35
Step-by-step explanation:
because you take 3.5 away from 12.85
Answer:
9.35
Step-by-step explanation:
SAME EXPLANATION PO
What is the range of the graph
Answer:
You're correct the answer is B) [tex]-5 \leq y \leq -1[/tex]
Step-by-step explanation:
The key behind this problem is think about the function [tex]\sqrt[3]{x}[/tex] and think what happen when you plug in values in it.
So we're going to try with some simply values for evaluate
[tex]\sqrt[3]{-8} = -2[/tex]
[tex]\sqrt[3]-1} = -1[/tex]
[tex]\sqrt[3]{0} = 0[/tex]
[tex]\sqrt[3]{1} = 1[/tex]
[tex]\sqrt[3]{8} = 2[/tex]
How you can see when plug in a negative number the function return a negative number, but when you plug in a positive number the function return a positive number (this isn't a proof of this happen in each value of the given interval, but is a good way of demonstrate the relation). This means that when you plug in a value this value is greater than the value of before, so the function is increasing it's outputs.
Now this is good because that's mean that the limits of the range are the limits of the domain evaluates in the function (because the smaller input give us the smaller output and the same with the greater). But the given function have different operation in it, so you have to interpret this operations of this way:
When you have a negative value in the [tex]x[/tex] like in this occasion ([tex]\sqrt[3]{-x}[/tex]) the function reflex it's values with respect to the y axis (image put the functions in a mirror a draw the given image in the same cartesian plane).And you have a -3 this is move each value of the function 3 units down.So with this information you evaluate each limit of the domain [tex]\{-8, 8\}[/tex] in the function and get the limits for the range.
[tex]f(-8) = \sqrt[3]{-(-8)} -3= \sqrt[3]{8} -3 = 2 -3 = -1[/tex]
[tex]f(8) = \sqrt[3]{-8} -3= -2 -3 = -5[/tex]
So the range of the function in the given interval is equal to [tex]\{-1, -5\}[/tex] in the interval notation is equal to [tex]-5 \leq y \leq -1[/tex]