Answer:
[tex]\boxed{\sf{6x^2-x-12}}[/tex]Step-by-step explanation:
Use the distributive property.
Use the foil method formula.
Distributive property:
⇒ A(B+C)=AB+AC
Foil method formula:
[tex]\Longrightarrow: \sf{(A+B)(C+D)=AC+AD+BC+BD}[/tex]
(2x-3)(3x+4)→ 2x*3x+2x*4-3*3x-3*4
Solve.
[tex]\Longrightarrow: \sf{2x*3x+2x*4-3*3x-3*4=\boxed{\sf{6x^2-x-12}}}[/tex]
Therefore, the correct answer is 6x²-x-12.I hope this helps you! Let me know if my answer is wrong or not.
The product of two rational numbers is 117/40. If one of them is - 13/5, find the other.
Answer:
= - 9/8
Step-by-step explanation:
(-13/5) * x = 117/40 multiply both sides by - 5/13
x = 117 / 40 * - 5/13 = - 9/8
What is the range of the fallowing numbers 29, 47, 32, 36, 57, 20, 39, 38, 52, 51, 28, 24, 44, 40, 45, 35, 50, 50, 32, 31
Answer: 37
Step-by-step explanation:
range = max - min
max = maximum value in a data set
min = minimum value in a data set
Maximum value: 57
Minimum value: 20
Range: 37
Answer:
37
Step-by-step explanation:
First of all, let's define what range is. The range is the highest value of a set of numbers minus the lowest value of the same set. In this case, your highest value is 57 and your lowest value is 20. The sum would be 57 - 20 which would equal 37 and that is your answer.
Hope I helped you out :)
If the expression √⋅√ is written as , what is the value of ?
Answer:
rhe base a for u
Step-by-step explanation:
kk
How many cubes with side lengths of 1/2 cm does it take to fill the prism?
Check the picture below.
so, let's get the volume of the prism.
then let's get the volume of the smaller cube.
then let's see how many times the volume of the cube goes into the prism's volume, so in short a division.
[tex]\stackrel{\textit{prism's volume}}{\left( \frac{5}{2} \right)(2)(1)\implies 5~cm^3}~\hfill \stackrel{\textit{cube's volume}}{\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\implies \frac{1}{8}~cm^3} \\\\[-0.35em] ~\dotfill\\\\ 5\div \cfrac{1}{8}\implies \cfrac{5}{1}\div \cfrac{1}{8}\implies \cfrac{5}{1}\cdot \cfrac{8}{1}\implies 40~~cubes[/tex]
Triangle Congruence, Flowchart Proof (Level1) _ 10th Grade - Int.1 (almost complete)
Answer:
Step-by-step explanation:
someone I need help with this thank you !!
Answer:
Question 4) 90 in^3
Question 5) D
Step-by-step explanation:
For question 4 I divided 270 by 1/3 and I got 90 inches^3
For question 5 I mulitplied 1 times 9 times 10 and got 90 inches ^3
She can choose from 7 pairs of pants, 6 t-shirts, 7 sweaters or hoodies, and 2 pairs of shoes. How many different outfits does Kaylee have to choose from?
Answer:
So, there are seven choices, etc, so the equation is
7x6x7x2
because there are multiple ways
so, 588
Solve one fourth ÷ 7 = ___. one eighth alt=one twenty fifth one twenty eighth one thirtieth
Answer:
[tex]\frac{1}{28}[/tex]
__________________________________________________________
SolveWhen doing problems like this where you have to divide fractions by whole numbers, you can try skip counting or multiplying.
So:
[tex]\frac{1/4}{7} = 28[/tex]because it skip counts 28 times.
28 as a fraction is [tex]\frac{28}{1}[/tex], which we have to flip to make [tex]\frac{1}{28}[/tex] as our answer.
__________________________________________________________
Questions?Ask in the comments box.
Mr. gonzalez earns his living as a salary plus commission employee. his annual salary is $18,000. he makes 4% commission on all of his sales. mr. gonzalez wants to earn $60,000 this year. if his earnings are divided evenly throughout the year, how much in monthly sales would mr. gonzalez need to have? a. $37,500 b. $87,500 c. $100,000 d. $125,000 please select the best answer from the choices provided a b c d
In monthly sales would mr. gonzalez need to have $100000
Mr. Gonzalez earns his living as a salary plus commission employee, then his annual earnings can be represented by
What is the formula for monthly earning?Monthly earnings=a+bx
Where a =his annual salary (fixed),
b = the percentage of sales commission and
X =represents the volume of sales made each year.
Therefore When Mr. Gonzalez annual salary is $18,000 and makes a commission of 4%, his annual sales that will enable him earn an annual salary of $60,000 will be equal to
$60000 = $18000 + 0.04X
$60000 - $18000 = 0.04X
$48000 = 0.04X
0.04X = $1200000
X = $48000/0.04=12000000
X=$12000000
Therefore, his monthly sales is given by his earnings divided evenly each month is equal to
$1200000/12=$100000
So the option c is correct.
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Answer:c
Step-by-step explanation:
help mean is 7.8 and standard deviation is 1 will give brainly
Answer:
a) Mean shoe size = 7.8
b) 8.8, 9.8 and 10.8
c) see attached
d) Shoe size
Step-by-step explanation:
[tex]\sf Mean \ \mu= 7.8[/tex]
[tex]\sf Standard \ deviation \ \sigma= 1[/tex]
Therefore,
[tex]\sf 1 \sigma=\mu+1 \sigma=7.8+1=8.8\\\sf 2 \sigma=\mu+2 \sigma=7.8+2 \cdot 1=9.8\\\sf 3 \sigma=\mu+3 \sigma=7.8+3 \cdot 1=10.8[/tex]
4/3 of a number is more than 3/4 of its number by 1 . find the number
4/3 of a number is more than 3/4 of its number by 1 . find the number .
Given : -4/3 of a no. is more than 3/4 of its no. by 1To Find : -We have to find the number .To Assume : -Let the no. be xSo Solution goes from here :According to question 4/3 of a number is equal to :
[tex] \longmapsto \: \frac{4}{3} \times x[/tex]
Which means ,
[tex]\longmapsto \: \frac{4x}{3} [/tex]
According to question 3/4 of a number is equal to :
[tex]\longmapsto \: \frac{3}{4} \times x[/tex]
Which means ,
[tex]\longmapsto \: \frac{3x}{4} [/tex]
Now , forming equation :
As the question says that 4/3 of a number is more than 3/4 of its number by 1 . So :
[tex]\longmapsto \: \frac{4x}{3} = \frac{3x}{4} + 1[/tex]
Now , transposing 3x/4 to left hand side :
[tex]\longmapsto \frac{4x}{3} - \frac{3x}{4} = 1[/tex]
Now , taking L.C.M :
[tex]\longmapsto \: \frac{4(4x) - 3(3x)}{12} = 1[/tex]
Now by calculating :
[tex]\longmapsto \: \frac{16x - 9x}{12} = 1[/tex]
Now Subtracting 16x with 9x and transposing 12 to right hand side :
[tex]\longmapsto \: 7x = 12[/tex]
So ,
[tex]\longmapsto \: \boxed{ \bold{ x = \frac{12}{7} }}[/tex]
Therefore , the number is 12/7 .#[tex] \sf{Keep \: Learning }[/tex]find the value of 9 and 4
An earned run average (ERA) in baseball is the average number of earned runs a pitcher gives up per 9 innings. One year, a professional baseball pitcher had a 3.91 ERA. His ERA was 0.74 points lower the next year. What is the new ERA?
Applying a subtraction operation, it is found that his new ERA was of 3.17.
What is the relation between his two ERA's, in last year's and this year?ERA is a baseball concept, but understanding of baseball is not relevant to this question.
One year, a professional baseball pitcher had a 3.91 ERA. The next year, it was 0.74 points lower, hence it was given by the subtraction of 3.91 and 0.74, that is:
ERA = 3.91 - 0.74 = 3.17.
His new ERA was of 3.17.
More can be learned about subtraction operations at https://brainly.com/question/2475734
Suppose f (x) = x². Find the graph of
y (x+5).
Step-by-step explanation:
Suppose f (x) = x². Find the graph of
y (x+5).
What is the value of x
x = 20°
The total sum of interior angles in a triangle is 180°
x + 5 + 7(x) - 5 + x = 180°x + 7(x) + x + 5 - 5 = 180°9(x) = 180°x = 20°Answer:
D) x = 20
Step-by-step explanation:
Theorem
The sum of the interior angles of a triangle is 180°
Solution
Add the angles and equate to 180:
⇒ (x + 5) + (7x - 5) + x = 180
Collect like terms:
⇒ x + 7x + x + 5 - 5 = 180
Combine like terms:
⇒ 9x = 180
Divide both sides by 9:
⇒ x = 20
the quotient of 254 and k is 94
Answer:
k is 23876
Step-by-step explanation:
you have to multiply 254 and 94 by eachothe then that's your answer!
Angle g measure’s 117 angle c measure’s 22 angle e measure’s 40 what is the measurement for angle b
Answer:
500
Step-by-step explanation:
The points P (4, 1) and Q (-2, 4) are
reflected in line y = 3. Find the co-ordinates
of P', the image of P and Q', the image of
Q.
Step-by-step explanation:
hope it will help you
thank you
Answer:
Step-by-step explanation:
The line y = 3 is a horizontal line.
In order for us to reflect these two points, we need to draw our horizontal line and graph those points on the coordinate plane. Then you count the number of points that your original coordinates are away from the horizontal line. Once you have got that down, you count the same number on the other side (over line) and then plot and label your new coordinates.*View the attached graph*
Hope this helps!
Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
29 i
29 i - 20
- 21 i
29
Answer:
29 i
Step-by-step explanation:
As the expression given in the question.
= (2 - 5i) (p + q)i
Simplify the above
= (2 - 5i) (pi + qi)
= 2pi + 2qi - 5pi²- 5qi²
As i² = -1
Put in the above
= 2pi + 2qi + 5p +5q
= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i
= 4i + 10i² + 10 + 25i
As i² = -1
= 4i - 10 + 10 + 25i
= 29i
Thus the value of the (2 – 5i)(p + q)i is 29i .
What are the coordinates of point B on AC such as that ratio of AB to BC is 5:1?
Answer:
Lines can be divided in smaller segments by using ratios
The coordinates of B are:
The given parameters are:
The coordinate of B is calculated using:
So, we have:
Simplify fraction
Hence, the coordinates of B are:
Step-by-step explanation:
The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n +c.what does the graph tell you about the value of a in this function?
Answer:
a is less than 0
Step-by-step explanation:
The value of a in this function is a is less than 0 .
What is radical function?A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions. An example of a radical function would be. y=√x.
According to the question
Radical function that can be written in the form
[tex]f(x)=a(x+k)^{1/n} +c.[/tex] ------------------------(1)
By solving this equation we will get value of a and c
differentiating the equation
[tex]f'(x)=\frac{1}{n}* (a(x+k)^{1/n-1})[/tex]
therefore
[tex]((x+k)^{1/n-1}) > 0[/tex]
As graph is decreasing monotonically
[tex]\frac{a}{n} < 0[/tex]
as n will be always n>0 ,
so a < 0
Now taking value of f(x)= 0 in equation (1)
[tex]f(x)=a(x+k)^{1/n} +c[/tex]
[tex]0 =-a(x_{0} + k)^{1/n} +c[/tex] as (a < 0)
[tex]0=-a(k)^{1/n} +c[/tex]
[tex]-c =-a(k)^{1/n}[/tex] multiplying (-1) both side
[tex]c =a(k)^{1/n}[/tex]
i.e
c > 0
Hence, the value of a in this function is a is less than 0 .
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What integer best represents
ascending 800 feet?
Answer:
positive interger.....
carrie has a string 9 inches long.she will cut each piece of string into 1/4
If Carrie has a string 9 inches long, what she will cut the piece into is mathematically given as
X=2.25pcs
What is the number of pieces?Generally, the equation for the number of pieces is mathematically given as
X=Total number *ratio
Therefore
X=9*1/4
X=2.25
In conclusion, If Carrie has a string 9 inches long, she will get 2.25 pics at a 1/4 ratio
Read more about Arithmetic
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If m∠4 = 90°, find the m∠5 and m∠3.
Answer:
∠5 = 90°
∠3 =90
Step-by-step explanation:
∠4 + ∠5 = 180 {Linear pair}
90 +∠5 = 180
∠5 = 180 - 90
∠5 = 90°
∠3 = ∠4 {Verically opposite angles}
∠3 = 90°
Allie identifies the coordinates of point D as (3, 7). Explain her error and explain how to correctly identify the ordered pair. hurry
Here Allie mistook the x and y axis completely oppositely.
→ First should be the x axis and then the y axis, (x, y)
Answer:
Step-by-step explanation:
Coordinates of a point are usually represented by (x, y) where x describes the horizontal distance from the y-axis and y describes the vertical distance from the x-axis.
Point A
4 units from the y-axis ⇒ x = 4
6 units from the x-axis ⇒ y = 6
A = (4, 6)
Point B
2 units from the y-axis ⇒ x = 2
9 units from the x-axis ⇒ y = 9
B = (2, 9)
Point C
0 units from the y-axis ⇒ x = 0
4 units from the x-axis ⇒ y = 4
C = (0, 4)
Point D
Allie has mixed up the x and y coordinates of D.
7 units from the y-axis ⇒ x = 7
3 units from the x-axis ⇒ y = 3
D = (7, 3)
A(n) _____ is a tool used to measure or draw angles.
make a math slogan (it should be catchy and meaningful)
Answer:
Be a wise girl or guy, Give math a try!
Step-by-step explanation:
Simplify 4x2−−−√.
the simplified expression is
Answer:
8
Step-by-step explanation:
simplified form of 2460−78+6884
Answer:
4502
Step-by-step explanation:
6884+78=6962
6962-2460=4502
What is the area of the figure?