Answer:
(7x + 2)(x - 2)(x + 2)
Step-by-step explanation:
Given
7x³ + 2x² - 28x - 8 ( factor the first/second and third/fourth terms )
= x²(7x + 2) - 4(7x + 2) ← factor out (7x + 2) from each term
= (7x + 2)(x² - 4) ← x² - 4 is a difference of squares
= (7x + 2)(x - 2)(x + 2)
What is –70 divided by 700
PLZ HELP ME!!!
Answer: -0.1
Step-by-step explanation: Calculator
Hello!
-70 : 700 = -0,1 → answer
Good luck! :)
What is the bohr diagram for Titanium +4charge ions.
Answer:
Step-by-step explanation:
thats the link for the diagram
Answer:
The nucleus of a titanium atom has 22 protons and 26 neutrons
If you search online for 'Bohr's diagram for titanium' it might help.
__
It will become Ti ^4+
Bohr diagrams indicate how many electrons fill each principal shell. This means that they can achieve a stable configuration and a filled outer shell by donating or losing an electron. As a result of losing a negatively-charged electron, they become positively-charged ions.
Susanna deposits $400 in a savings account with an interest rate of 3% compounded annually. What equation could Susanna use to calculate how many years it will take for the value of the account to reach $600?
Fill in the values of A, b, and c to write the equation modeling this situation.
Answer:
So, you have $400savings, 3%intrest rate, you'll need to have $400 and a 10%intrest rate.
I hope this helps
Step-by-step explanation:
6h=2k+9. 3h+4k=12 use elimination please help me
Answer:
h = 2 and k = 1.5
Step-by-step explanation:
The solution is, Solve of the system of equations. using elimination,
6h=2k+9 & 3h+4k=12 is, h = 2 & k=3/2.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
given that, the system of equations.
6h-2k=9.......(1)
3h+4k=12 ...........(2)
now, for solving, multiply (1) by 2 & add with (2),
we get,
12h - 4k = 18
3h + 4k = 12
---------------------
15h = 30
i.e. h = 2
from (1), we get, k = 3/2
Hence, The solution is, Solve of the system of equations. using elimination,
6h=2k+9 & 3h+4k=12 is, h = 2 & k=3/2.
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
The price of an item decreased by 20% to $200. Then later the price decreased again from $200 to $150. What is the percent of decrease from the original price to the final price $150?
Answer:
40%
Step-by-step explanation:
ok so first find the og price:
100% - 20% = 80%
so 80% = 200
let the 100% be x:
x * 0.8 = 200
x= 250
100% = 250
(difference/ og price) * 100% = the percentage decrease/ increase
(250-150/250)* 100% = 40%
OR
((the final price/ og price) * 100%) - 100%
((150/250)*100%) - 100% = 40%
There was a 40% decrease from the og price to the final price of 150.
If EF = 117 , FG = 100, EG = 94, IJ = 40 , and HJ = 37.6 , find the perimeter of HIJ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answer:
124.4
Step-by-step explanation:
Perimeter of ∆HIJ = IJ + HJ + HI
IJ = 40
HJ = 37.6
HI = ?
Let's find HI
∆HIJ and ∆EFG are similar. Since they have equal corresponding angles. Therefore, the ratio of their corresponding sides would be equal.
Thus:
EF/HI = FG/IJ
EF = 117 (given)
HI = ?
FG = 100 (given)
IJ = 40 (given)
Plug in the values
117/HI = 100/40
117/HI = 2.5
117 = HI*2.5
117/2.5 = HI
HI = 46.8
✔️Perimeter of ∆HIJ = IJ + HJ + HI
= 40 + 37.6 + 46.8
= 124.4
The equation px²+px+3q=1+2x has roots 1/p and q
(a) Find the values of p and of q
Answer:
p = 2/3
q = 1/2
Step-by-step explanation:
The given equation is ,
[tex]\sf\to px^2 + px + 3q = 1 + 2x [/tex]
We can write it as ,
[tex]\sf\to px^2 + px + 3q - 1 -2x=0 [/tex]
Rearrange the terms ,
[tex]\sf\to px^2 - 2x + px + (3q -1)=0 [/tex]
This can be written as ,
[tex]\sf\to px^2 + x ( p - 2) + (3q -1) =0[/tex]
Now wrt Standard form of a quadratic equation ,
[tex]\bf \implies ax^2+bx + c = 0 [/tex]
we have ,
a = p b = p - 2 c = 3q - 1We know that product of zeroes :-
[tex]\to \sf q \times \dfrac{1}{p} = \dfrac{3q-1}{p } \\\\\sf\to 3q - 1 = q \\\\\sf\to 2q = 1 \\\\\sf\to \boxed{ q =\dfrac{1}{2}}[/tex]
Sum of roots :-
[tex]\to \sf q + \dfrac{1}{p} = \dfrac{2-p}{p} \\\\\sf\to \dfrac{ qp + 1}{p}= \dfrac{2-p}{p} \\\\\sf\to qp + 1 = 2 - p \\\\\sf\to p/2 + p = 1 \\\\\sf\to 3p/2 = 1 \\\\\sf\to \boxed{ p =\dfrac{2}{3}}[/tex]
Mr. Harris earns $12 per hour for 40 hours of work. He earns $18 per hour for hours worked over 40. How many hours did he work if he earned $642?
Answer:
$49 hours
Step-by-step explanation:
12*40=$480
642-480= $162
$162/18= 9 hours more than 40
40+9=49 hours
39/50 as a percentage?
Answer:
78%
Step-by-step explanation:
39/50×100%
= 39×2%
= 78%
Answered by GAUTHMATH
Answer:
78%
Step-by-step explanation:
Divide 39 by 50 and then multiply by 100 and you get the percentage and that goes for all fractions if you wanna change them into percent form. If you want it to be decimal just don't multiply the 100 at the end.
Which equation can be used to determine the reference angle
Answer:
2nd option
Step-by-step explanation:
[tex]\frac{7\pi }{12}[/tex] is an angle in the second quadrant
Thus to find the reference angle, subtract from π , that is
r = π - θ
What is the area of this figure? Enter your answer in the box.
Answer:
Step-by-step explanation:
33
Miguel is trying to find the height of a radio antenna on the roof of a local building. He stands at a horizontal distance of 22 meters from the building. The angle of elevation from his eyes to the roof (point A) is 26 degrees , and the angle of elevation from his eyes to the top of the antenna ( oint B) is 31 degrees If his eyes are 1.53 meters from the ground, find the height of the antenna (the distance from point A to point B). Round your answer to the nearest tenth of a meter if necessary.
Given the 22 m. horizontal distance and the angles of elevation of 26°
and 31° gives the height of the building as approximately 2.49 meters.
How can the height of the building be found?Horizontal distance from the building = 22 m
Angle of elevation to the top of the roof = 26°
Angle of elevation to the top of the antenna = 31°
Height of his eyes from the ground = 1.53 m
Required:
The height of the antenna.
Solution:
In a right triangle, we have relative to an angle of the triangle, we have;
Opposite side = Adjacent side
Height of the building + Height of antenna = [tex]1.53 + 22 \times tan \left(31^{\circ} \right)[/tex] ≈ 14.75
Which gives;
Height of the building = [tex]1.53 + 22 \times tan \left(26^{\circ} \right)[/tex] ≈ 12.26
Height of antenna = Height of the building + Height of antenna - Height of the buildingTherefore;
Height of the antenna ≈ 14.75 - 12.26 ≈ 2.49
Height of the antenna ≈ 2.49 mLearn more about trigonometric tangent ratio here:
https://brainly.com/question/24415242
helpppppppppppppppp//////////////////////////////////////////
Answer:
m(x)
Step-by-step explanation:
Find the value of x. Write it as a decimal.
Answer:
68.5
Step-by-step explanation:
Arc ABE = 360 - 2x
Arc AE = 2x
half the difference between the two arcs is 43
43 = [tex]\frac{1}{2}[/tex] [360 -2x - (2x)]
6. The coordinates of the vertices of triangle CDE are C(3, - 2), D(5, 2) , and E(7, 0) The figure is rotated 90about the origin . What are the vertices of the resulting image, Figure C'D'E?
Answer:
Step-by-step explanation:
if it is rotated in clockwise direction then C'(-2,-3),D'(2,-5),E'(0,-7)
if rotated in anticlockwise direction C'(2,3),D'(-2,5),E'(0,7)
Which of the following statements is true for the figures shown
Answer:
no question pls give and I can think
A petting zoo gives out large buckets of healthy popcorn snacks for visitors to feed to the animals. what fraction of the snack is left in the bucket after a cow eats 1/3, a goose eats 1/12, and a goat eats 2/9?
Answer:
13/36 is left
Step-by-step explanation:
cow- 1/3 = 12/36
goose- 1/12 = 3/36
goat= 2/9 = 8/36
12 + 3 + 8 = 23/36
23/36 is consumed...
13/36 is left
The fraction of the snack left in the bucket will be 13/36.
What is a fraction?The fraction is defined as the division of the whole part into an equal number of parts.
Given that:
cow- 1/3 = 12/36goose- 1/12 = 3/36goat= 2/9 = 8/36The amount consumed is:-
( 12/ 36 )+ (3 / 36 ) +( 8 / 36 ) = 23/36
So the amount left will be calculated as:-
Amount left = 1 - ( 23 / 36 )
Amount left = ( 36 - 23 ) / 36
Amount left = 13 / 36
Therefore fraction of the snack left in the bucket will be 13/36.
To know more about fractions follow
https://brainly.com/question/78672
#SPJ2
Six pounds of grapefruit costs $3.00. 5 pounds of apples costs 2.65.
What is the cost per pound for each fruit?
Answer:
1 grapefruit cost $0.50 and 1 apple cost $0.53
Step-by-step explanation:
To find the unit cost of 1 fruit, divide the cost by the amount of fruit.
Grapefruit = 3.00 ÷ 6 = $0.50
Apple = 2.65 ÷ 5 = $0.53
Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.
What is the average rate of change?
Given:
Consider the given function is:
[tex]f(x)=5^x+1[/tex]
To find:
The average rate of change between x = 0 and x = 4.
Solution:
The average rate of change of a function f(x) over the interval [a,b] is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
We have,
[tex]f(x)=5^x+1[/tex]
At [tex]x=0[/tex],
[tex]f(0)=5^0+1[/tex]
[tex]f(0)=1+1[/tex]
[tex]f(0)=2[/tex]
At [tex]x=0[/tex],
[tex]f(4)=5^4+1[/tex]
[tex]f(4)=625+1[/tex]
[tex]f(4)=626[/tex]
Now, the average rate of change between x = 0 and x = 4 is:
[tex]m=\dfrac{f(4)-f(0)}{4-0}[/tex]
[tex]m=\dfrac{626-2}{4}[/tex]
[tex]m=\dfrac{624}{4}[/tex]
[tex]m=156[/tex]
Hence, the average rate of change between x = 0 and x = 4 is 156.
please help guys !!!
Answer:
[tex] \frac{1}{4} \: \: \: \frac{1}{3} \: \: \: \frac{1}{2} \: \: \: \frac{7}{12} \: \: \: \frac{3}{4} [/tex]
Step-by-step explanation:
To arrange in ascending order, first make the denominators of all the fractions the same.
LCM of 2, 3, 4 and 12 is 12.
Now,
[tex] \frac{1}{3} = \frac{4}{12} [/tex]
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
[tex] \frac{1}{4} = \frac{3}{12} [/tex]
[tex] \frac{7}{12} \: \: will \: be \: \: \frac{7}{12} [/tex]
[tex] \frac{1}{2} = \frac{6}{12} [/tex]
Arranging these in ascending order:
[tex] \frac{3}{12} \: \: \: \frac{4}{12} \: \: \: \frac{6}{12} \: \: \: \frac{7}{12} \: \: \: \frac{9}{12} [/tex]
heya kitties. graph y−5=43(x−5)
coordinates plz
Given:
The equation is:
[tex]y-5=\dfrac{4}{3}(x-5)[/tex]
To find:
The graph of the given equation.
Solution:
Point slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex] ...(i)
We have,
[tex]y-5=\dfrac{4}{3}(x-5)[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]x_1=5,y_1=5,m=\dfrac{4}{3}[/tex]
It means, slope of the line is [tex]\dfrac{4}{3}[/tex] and it passes through the point (5,5).
Putting x=2 in the given equation, we get
[tex]y-5=\dfrac{4}{3}(2-5)[/tex]
[tex]y=\dfrac{4}{3}(-3)+5[/tex]
[tex]y=-4+5[/tex]
[tex]y=1[/tex]
The line passes through the point (2,1). Plot the points (2,1) and (5,5) on a coordinate plane and connect them by a free hand curve as shown below.
Tegan is checking her tax bill for the last year.
The tax rates were as follows:
• No tax on the first £11 000 of earnings
• Earnings in excess of £11 000 and up to £43 000 taxed at a rate of 20%
• Earnings in excess of £43000 and up to £150 000 taxed at a rate of 40%
• Earnings over £150 000 taxed at a rate of 45%
Last year, Tegan earned £48 300 before tax.
How much tax did she pay in total?
Answer:
£8520
43000-11000=32000
20/100×32000
£6400
48300-43000=5300
40/100×5300=2120
£8520
PLS HELP (algebra 1)
solve 4( -15x - 2) + 8
Answer:
-60x
Step-by-step explanation:
write an expression for 8 less than 2 times a number
show your work
Answer:
Step-by-step explanation:
Let's call the number x. The statement "...2 times a number" if the number is x looks like this:
2x
"8 less than" that looks like this:
... - 8
Putting the whole thing together:
2x - 8
Consider the line y=7x-8.
Find the equation of the line that is parallel to this line and passes through the point (6, – 4).
Find the equation of the line that is perpendicular to this line and passes through the point (6, - 4).
Answer:
a). y = 7x - 46 b). y = -1/7x - 22/7
Step-by-step explanation:
a). y = 7x + b
-4 = 7(6) + b
-4 = 42 + b
-46 = b
y = 7x - 46
b). y = -1/7x + b
-4 = -1/7(6) + b
-4 = -6/7 + b
-22/7 = b
y = -1/7x - 22/7
what is the length of segment LM?
Here we are provided with a diagram of a triangle. We need to find out the length of the segment LM . As we can see that ,
∆ KNL ≈ MNL , [ By AAS ]
Therefore ,
KN = MN ( by cpct )⇒ KN = MN
⇒ 14x - 3 = 25
⇒ 14x = 25 + 3
⇒ 14x = 28
⇒ x = 2
Put this x = 2 in LM :-
⇒ LM = 9x + 5
⇒ LM = 9*2 + 5
⇒ LM = 18 + 5
⇒ LM = 23
Hence the required answer is 23 .
Evaluate the expression 42 +6.52 – 33 = 32,
the solution of the quadratic equation x square - 4 x + 4
Answer:
[tex]\rm x = 2 , 2 [/tex]
Step-by-step explanation:
A quadratic equation is given to us and we need to find the solution of the equation. The given equation is ,
[tex]\implies x^2 -4x + 4 = 0 [/tex]
Now for finding the roots of the equation , let's use the quadratic formula , or by factorising out the equation . Here I would be using the factorization method , as ,
[tex]\implies x^2 -4x + 4 = 0\\\\\implies x^2-2x-2x+4 = 0 \\\\\implies x(x-2) -2(x-2) = 0 \\\\\implies (x-2)(x-2) = 0 \\\\\implies x = 2, 2 [/tex]
Hence the Solution of the equation is 2,2.
Answer:
Step-by-step explanation:
x² - 4x +4 = 0
Factorization method:
Sum = -4
Product = 4
Factor = (-2) ; (-2) {-2 * -2 = 4 & (-2) + (-2) = -4}
x² -4x + 4 = 0
x² - 2x - 2x + (-2)*(-2) = 0
x(x - 2) - 2 (x - 2) = 0
(x - 2) (x - 2) = 0
x - 2 = 0 or x -2 = 0
x = 2 or x = 2
x = 2 , 2
The equation of line r is y = 1/2 * x + 1 line runs parallel to line r and passes through (2, 5) what would be the equation of line 8 ?help please
Answer:
x - 2y + 8 = 0
Step-by-step explanation:
that is the procedure above
What is the frequency of the graph of y = 1/3 sin(2x)?
Given:
The sine function is:
[tex]y=\dfrac{1}{3}\sin (2x)[/tex]
To find:
The frequency of the graph of given function.
Solution:
If a sine function is defined as:
[tex]y=A\sin(Bx+C)+D[/tex]
Then, the frequency of the sine function is:
[tex]f=\dfrac{B}{2\pi}[/tex]
We have,
[tex]y=\dfrac{1}{3}\sin (2x)[/tex]
Here, [tex]B=2[/tex]. So, the frequency of the given function is:
[tex]f=\dfrac{2}{2\pi}[/tex]
[tex]f=\dfrac{1}{\pi}[/tex]
Therefore, the correct option is D.