Solve for x.
3x + 7
2x + 3)
Answer: x = 34
Step-by-step explanation:
2x+3+3x+7=180
5x+10=180
5x=170
x = 34
What is the greatest common factor of 4xy2 and 20x2y4?
Answer:
4xy^2
Step-by-step explanation
i got it right in a quiz
When an electron is removed the atom gets a ( ) Charge .
Answer:
positive charge...............
Louise begins factoring the polynomial, which has four terms. 8x3+24x2+10x+30 2(4x3+12x2+5x+15) 2[4x2(x+3)+5(x+3)] Which is the completely factored form of her polynomial? 8x2(x + 3)2 2x(4x2 + 5) 2(4x2 + 5) (x + 3) 2(4x2 + 5) (x + 3)2
Answer:
[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]
Step-by-step explanation:
Given
[tex]8x3+24x2+10x+30= 2(4x^3+12x^2+5x+15)[/tex]
[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]
Required
The complete factored form
We have:
[tex]8x3+24x2+10x+30= 2[4x^2(x+3)+5(x+3)][/tex]
Factor out x + 3
[tex]8x3+24x2+10x+30= 2[(4x^2+5)(x+3)][/tex]
The above represents the completely factored form
Answer:
C on edge
Step-by-step explanation:
I took the test
Anthony worked to earn $25.00. Joyce worked for $8.00 per hour. If Anthony earns $5.00 per hour, how many hours did he work?
Answer:
Anthony worked to earn $25.00. Joyce worked for $8.00 per hour. If Anthony earns $5.00 per hour, how many hours did he work?
for 5 hours they work
Which is the graph of y - 3 = -2/3(x + 6)?
Answer:
Step-by-step explanation:
y - 3 = -2/3(x + 6) Remove the brackets on the right
y - 3 = -2/3x - 2/3 * 6 Simplify the right
y - 3 = -2/3x - 4 Add 4 to both sides
y = - 2/3 x - 1
I'm going to enclose the graph. Pick the one that has a y intercept at (0,-1) and and an x intercept of (-1.5, 0)goes from the lower right to the upper left as the graph below shows.
Convert r=5/3sinθ−cosθ to rectangular form.
Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.
Answer:
y = 1/3 x + 5/3
Step-by-step explanation:
For rectangular to polar
x = rcosθ ... 1
y = rsinθ ... 2
Given the expression
r=5/3sinθ−cosθ
Cross multiply
r(3sinθ−cosθ) = 5
Expand
3rsinθ−rcosθ = 5 ..3
Substitute 1 and 2 into 3
3y - x = 5
Write in slope intercept form
3y = x + 5
Divide through by 3;
3y/3 = x/3 + 5/3
y = x/3 + 5/3
y = 1/3 x + 5/3
Hence the expression in slope-intercept form is y = 1/3 x + 5/3
f(x)=3(0.75)x exponential growth or exponential decay
PLEASE HELP ASAP! What system of linear inequalities is shown in the graph?
Step-by-step explanation:
x+2y ≥ 4 => y ≥ -½x +4
-2x + y > -3 => y > 2x - 3
Answer:
Work out the equations of the lines first.
The solid line
It has a slope of m = (1 - 2)/2 = -1/2 and the y-intercept of 2The line is:
y = -1/2x + 2The dotted line
It has a slope of m = (-1 + 3) / 1 = 2/1 = 2 and the y-intercept of -3The line is:
y = 2x - 3The intercession zone is above of both of the lines, so the inequalities are:
y ≥ -1/2x + 2y > 2x - 3the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex]\sqrt{14}[/tex]
Step-by-step explanation:
In any square with side length [tex]s[/tex], the diagonal of the square is equal to [tex]s\sqrt{2}[/tex]. Since the side length of this square is [tex]\sqrt{7}[/tex], the diagonal is equal to [tex]\sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}[/tex].
Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle, and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.
In this question, both legs are equal to [tex]\sqrt{7}[/tex], and we're solving for the diagonal, which is the hypotenuse in this case:
[tex]\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}[/tex]
Frank has $8000 that he plans to split into two investments. He wrote the following two equations to represent the interests he will earn from each of the two investment options.
2000 A+ 6000B=520
400A+400B=480
Determine the interest rates, A and B as percentages
Answer:
Step-by-step explanation:
I still think your equations are wrong...
4000/4000 not 400/400 since the total investment is to be $8000
not $800
Step-by-step explanation:
2000 A+ 6000B=520
4000A+4000B =480
~~~~~~~~~~~~~~~~~~~~~
2000 A+ 6000B=520
-2000A - 2000B =-240
4000B = 280
B=7%
A=5%
Help me pls it’s number 8, will give brainliest but quickly pls
Write each number in standard form.
Answer:
35010
.08190
- 137000
- .00060041
Step-by-step explanation:
positive exponents add zeros to end and move decimal place to right the amount of the exponent.
negative exponents add zeros to begininng and move decimal to the left.
Write the equation of the line that passes through the points (8,1) and (-1,3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y-3 = -2/9(x+1)
Step-by-step explanation:
Here, we want to find the standard equation
Generally, we have the equation as;
y = mx + b
where m is the slope of the line and b is the y intercept
To find the slope, we use the slope equation
m =y2-y1/x2-x1
m = (3-1)/(-1-8) = 2/-9 = -2/9
So to write in point slope form, we can use any of the two points
We have;
y-y1 = m(x-x1)
using (-1,3)
y-3 = -2/9(x+1)
Combining functions: Consider functions f and g.
Answer:
option C
Step-by-step explanation:
Thang decided to borrow $90 from his local bank to help pay for a car. His loan was for 3 years at a simple interest rate of 40%. How much interest will Thang pay?
Answer:
Step-by-step explanation:
P = 90
r = 40% = 40/100 = 0.4
t = 3 years
It is not clear to me what this means. Is the 40% for each year for 3 years or is the interest rate = 40% period. I know that in some of the poorer countries, this is not an unusual amount to pay for each year he holds the loan.
I will take it as 40% for each year for 3 years.
i = prt = 90 * 0.4 * 3
i = 108
A rhombus is cut along the diagonals to make four triangles.
Which three statements are correct for any rhombus.
A: All four triangles are isosceles.
B: All four triangles are congruent.
C: All four triangles are right-angled.
D: Perimeter of rhombus = 4 times the perimeter of one triangle.
E; Area of rhombus = 4 times the area of one triangle.
Answer:
B: All four triangles are congruent.
C: All four triangles are right-angled.
E; Area of rhombus = 4 times the area of one triangle.
Step-by-step explanation:
A rhombus is a quadrilateral with equal length of sides. It stands on one of its edges, and a simple example is the shape of a diamond. It has two diagonals which bisect the angles of the rhombus.
When a rhombus is cut along its diagonals, the following properties of the shape formed can be observed:
B: All four triangles are congruent.
C: All four triangles are right-angled.
E; Area of rhombus = 4 times the area of one triangle.
25 + 8 (7y - 3) + 3y
Answer:
59y+1
Step-by-step explanation:
25 + 8 (7y - 3) + 3y
Distribute
25+56y-24+3y
Combine like terms
59y+1
How many bacteria are in generation 9?
O A. 1,180,980
O B. 393,660
C. 1440
O D. 6561
Answer:
B. 393,660
Step-by-step explanation:
lemme get Brainliest please
Answer:
B. 393,660
Step-by-step explanation:
I plugged it into the symbolab calculator and attached the steps below! Hope this helps!
A walking path across a park is represented by the equation y = -3x - 6. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3, 3). Identify the
equation that represents the new path.
Answer:
y = 1/3 x +4
Step-by-step explanation:
m = 1/3
3 = 1/3(-3) + b
3 = -1 +b
b=4
(Find m∠IGH) m∠IGH =
Answer:
∠IGH = 50°
Hope this helps! :)
Mr. O'Donnell goes to the store to buy a shirt. The shirt is $20, but he also has to pay a 9% tax. What is the total price he has to pay?
Answer:
The total price that he has to pay is $21.8.
Step-by-step explanation:
Mr. O'Donnell goes to the store to buy a shirt. The shirt is $20, but he also has to pay a 9% tax.
First you convert the sales tax percentage to its decimal form: in this case 9% becomes 0.09.
To calculate the cost of the tax, the following multiplication must be performed:
cost of product or service* sales tax (in decimal form) = total sales tax
In this case:
$20*0.09= $1.8
Finally, you must add the value of the total sales tax to the cost of the product or service to obtain the total cost. In this case:
$20 + $1.8= $21.8
So, the total price that he has to pay is $21.8.
Determine the equation of the circle graphed below.
Answer:
[tex] (x + 7)^2 + (y + 4)^2 = 4 [/tex]
Step-by-step explanation:
The equation of a circle with radius r and center (h, k) is:
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
This circle has center (-7, -4) and radius 2.
The equation is:
[tex] (x + 7)^2 + (y + 4)^2 = 4 [/tex]
Help plz this is really hard for me
Answer:
Improper fraction: 13/10
Mixed number: 1 3/10
Decimal: 1.3
Step-by-step explanation:
Find common denominator: which is 30
Make each denominator equal 30, affecting the whole fraction:
6•2/15•2 + 3•3/10•3 + 3•6/5•6 =
12/30 + 9/30 + 18/30 = 39/30
Simplify: 39/30, divide both by 3: 13/10
And there is our answer!
Hope this helps, good luck! :D
Answer:
39/30
Step-by-step explanation:
What combination of bracelets does dimitri have?
I don’t get this question can someone plz help meee
Answer:
-16
Step-by-step explanation:
Given that the first term is -10 .
=> a1 = -10 .
General formula:-
=> a_n = a_n -1 + 3 .
Therefore , the common difference :-
=> 2nd term - 1 term
=> a_n-1 - a_n = -3
nth term of the AP is ,
=> T_n = a + (n-1)d
=> T_3 = -10 + (3-1) × -3
=> T_3 = -10 + -6
=> T_3 = -16 .
Use numerals instead of words
Answer:
Step-by-step explanation:
Put in the 3 and 4 so it is the square root of 3^4 - -6^2
The square root of 3^4 + 6^2
The square root of 3^4 is 3^2 so
9 + 6^2
=> 9 + 36
=> 45
45 in numerals is XLV
In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?
m∠X + m∠Z < 90°
m∠Y > 90°
∠X and∠Y are complementary
m∠X + m∠Y < 90°
Answer:
angle X + angle Y < 90°
Step-by-step explanation:
sum of angles of triangle is 180 ° ,
Answer:
because mZ > mX + mY
[tex] = > 18 0 - (mx + my) > mx + my \\ < = > 2(mx + my) < 180 \\ < = > mx + my < 90[/tex]
6. Find the slope of the line that passes through the following 2
points. Use the slope formula.
(-2, 4) (2, 4)
Answer:
You would do the change in y over the change in x.
That means you subtract your y values and that's the numerator. Subtract your x values and that is your denominator. Then simplify.
(4 - 4)
______
(-2 - 2)
Step-by-step explanation:
Answer: y=4
Step-by-step explanation:
4 is the y-intercept. The slope is 0
Identify each expression with a sum of x2 + 3x +1.
Answer:
There are no like terms.
Step-by-step explanation:
5x^2-9x+4=0 zero product property
Answer: x = 1, 4/5
Step-by-step explanation:
I just factored this out
(x-1)(5x-4)= 0
x = 1, 4/5