Answer:
x = 5+3i, x = 5-3i
Step-by-step explanation:
x^2-10x=-34
Add 34 to both sides:
x^2-10x+34 = -34+34
Simplify:
x^2-10x+34=0
Use the quadratic formula using both (+/- after the first -10):
x = [tex]\frac{-(-10)+\sqrt{(-10)^2 -4*1*34} }{2*1}[/tex]
Simplify:
x = 5 + 3i
x = 5 - 3i
100×1.46= cash exhange
Answer:
[tex]\dashrightarrow \sf \: 100 \times 1.46 \\ \\ \dashrightarrow \sf \: \cancel{100} \times \frac{146}{ \cancel{100 }} \\ \\ \dashrightarrow \sf \: 146[/tex]
Answer:
100 x 1.46 = 146
Step-by-step explanation:
hope this helps
(x^-6)^5 help... what is the answer
Answer:
1/x^30
Step-by-step explanation:
(x−6)5
=(x−6)5
=x(−6)(5)
=x−30
=1/x^30
Hope this helps :)
Answer:
It's all in the screenshot. Bottom number!
Step-by-step explanation:
If you need more help, feel free to follow up in the comments below! :PIn the line plot above, how many of the students made six free throws?
A 5
B. 17
C. 7
D 6
The number of students that made six free throws is given as follows:
A. 5.
What is the dot plot?The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.
In this problem, we have five markers above the input of six, hence the number of students that made six free throws is of five.
This means that option A is the correct option in the context of this problem.
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The sum of two numbers is -31. One number is 83 less than the other. Find the numbers
Answer:
Step-by-step explanation:
Let the first number = x
Let the second number = x - 83
x + x - 83 = - 31 Combine the left
2x - 83 = -31 Add 83 to both sides
2x = - 31 + 83
2x = 52
x = 26
The two numbers are
26
26- 83 = -57
A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it travel in 25 minutes ? In 1 hour?
it will travel about 2 4/5 in 25 minutes i think
Answer:
16 2/3
Step-by-step explanation:
1 1/2x2 1/4 = 2/3
Multiply that by your minutes (25) and you will get 16.6666
Convert to a fraction and u will get 16 2/3 miles in 25 minutes
40 miles in an hour
t^3(8 + 9t) - (t2 + 4) (2 – 3t)
The simplified expression is a polynomial.
The simplified expression has a constant term.
The simplified expression is cubic.
The simplified expression has four terms.
The simplified expression is a trinomial
Answer: a & b
Step-by-step explanation:
t³(8 + 9t) - (t² + 4)(2 - 3t)
= 8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)
= 8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t
= 9t⁴ + 11t³ - 2t² + 12t - 8
a) The simplified expression is a polynomial. TRUE
b) The simplified expression has a constant term. TRUE
c) The simplified expression is cubic. False - it is degree 4
d) The simplified expression has four terms. False - it has 5 terms
e) The simplified expression is a trinomial False - it has 5 terms
The answer is A) The simplified expression is a polynomial. & B)The simplified expression has a constant term.
What is a polynomial for example?Polynomials are sums of phrases of the form okay⋅xⁿ, where ok is any range and n is an effective integer. as an instance, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers commonplace terminology like phrases, diploma, fashionable form, monomial, binomial and trinomial.
A polynomial is described as an expression that consists of variables, constants, and exponents, which can be mixed with the usage of mathematical operations including addition, subtraction, multiplication, and department (No department operation by way of a variable).
t³(8 + 9t) - (t² + 4)(2 - 3t)
= 8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)
= 8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t
= 9t⁴ + 11t³ - 2t² + 12t - 8.
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Which line is written in slope intercept form with m = -3 and b = 5?
A.) y=5x-3
B.)y=-3x+5
C.)-3x+5y=2
D.)y= -3/5x
Answer:
B , y = -3x + 5 hope this can help you !
When converting a fraction to adecimal the numerator is the
A. Divisor
B. Dividend
C. Quotient
10 pts
Write an expression for the following situation:
You're planning to take all of your family to Houston Lake Cinemas. The price of
admission for adults is $11.00 and the price for children age 12 and under is $7.00.
How much will it cost for 3 adults and 2 children to attend the event?
Answer:
c=11*3+7*2
Step-by-step explanation:
Convert the polar coordinate
to Cartesian coordinates.
Answer:
(-4√3, -4)
Step-by-step explanation:
To convert polar coordinates (r, θ) to Cartesian coordinates (x, y), you can use the following formulas:
x = r * cos(θ)
y = r * sin(θ)
In this case, the polar coordinates are (8, 11π/6). Let's substitute the values into the formulas:
x = 8 * cos(11π/6)
y = 8 * sin(11π/6)
Now, let's calculate the values:
x = 8 * cos(11π/6) ≈ 8 * (-√3/2) ≈ -4√3
y = 8 * sin(11π/6) ≈ 8 * (-1/2) ≈ -4
Therefore, the Cartesian coordinates for the given polar coordinates (8, 11π/6) are approximately (-4√3, -4).
What is the length of the dotted line, to thr nearest inch?
Answer:
2. 11 inches
Step-by-step explanation:
6^2 + 8^2 = 100
square root of 100 = 10
10^2 + 5^2 = 125
square root of 125 = 11.18033989
11.18033989 will say the same cause it 11.1 so it will be 11
Need HELP ASAP PLZ? The graph of the absolute value parent function, f(x)=|x|, is stretched horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
A. g(x)=|6x|
B. g(x)=|1/6x|
C. g(x)=6|x|
D. g(x)=|x+6|
Transformations are used to move a function from one position to another. The function of g(x) is g(x) = x/6
Given:
f(x)=|x|
The rule of a horizontal stretch by factor k is: (x,y) = (x/k, y)
i,e
g(x) = f(x/k)
where k is 6
g(x) = f(x/6)
so, f(x/6) = x/6
Hence g(x) = x/6
What is transformation?In mathematics, a transformation is a function f, usually on some geometric basis, that maps the set X to itself, i.e. f X → X. Examples are linear transformations of vector spaces and geometric transformations, which include projective transformations, affine transformations, and certain affine transformations such as rotations, reflections, and translations. Although it is common to use the expression transformation of a set with some function to itself, there is an alternative form of terminology where the expression "transformation" is reserved for conjecture only. If such a narrow definition of a transformation is generalized to partial functions, then a partial transformation is a function f: A → B, where both A and B are subsets of some set X.
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PLEASE HURRY TAKING A TEST RN
Type the correct answer in each box.
An image of lines p and q parallel to each other. Lines m and n are not parallel to each other. Line m, p form an angle of one hundred two degrees and an angle marked y. Lines n, q form an angle marked x and an angle of one hundred fifteen degrees.Parallel lines p and q are cut by two non-parallel lines, m and n, as shown in the figure.
The value of x is
degrees, and the value of y is
degrees.
The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.
What is the value of angle x and angle y?The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;
The value of angle adjacent x = 102⁰
The value of angle x is calculated as;
x = 180 - 102 ( sum of angles on a straight line)
x = 78⁰
The value of angle y is calculated as follows;
y = 115⁰ (corresponding angles are equal)
Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.
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Given the function f(x)=3x+2, what is x if f(x)=17?
Answer:
53
Step-by-step explanation:
plug in the number in place of the x.
Find the slope and the y-intercept of the line: 6x + 7y = 52
Answer:
Slope is -6/7
Y-intercept is 52/7
Step-by-step explanation:
6x + 7y = 52
6x - 6x + 7y = 52 -6x
1/7 (7y = -6x + 52) 1/7
y = -6/7x + 52/7
Answer:
[tex]slope = - \frac{6}{7} \\ y-intercept = 7 \frac{3}{7} [/tex]
Step-by-step explanation:
Let's rewrite the equation into the form of y=mx+c, where m is the slope and c is the y-intercept.
6x +7y= 52
7y= -6x +52 (-6x on both sides)
[tex]y = - \frac{6}{7} x + 7 \frac{ 3}{7} [/tex]
Thus,
[tex]slope = - \frac{6}{7} [/tex]
[tex]y-intercept = 7 \frac{3}{7} [/tex]
Alternatively, since y-intercept is when the line cuts through the y- axis (at x=0), substitute x= 0 to find the y-intercept.
6x +7y= 52
When x=0,
6(0) +7y= 52
7y= 52
y= 52 ÷7 (÷7 on both sides)
[tex]y = 7 \frac{3}{7} [/tex]
The number of chips of different colors in Fran's bag is shown below:
9 red chips
4 green chips
15 yellow chips
Fran takes out a chip from the bag randomly without looking. He replaces the chip and then takes out another chip from the bag. What is the probability that Fran takes out a green chip in both draws?
4 over 28 multiplied by 4 over 28 equal to 16 over 784
4 over 28 plus 4 over 28 equal to 8 over 56
4 over 28 multiplied by 3 over 27 equal to 12 over 756
4 over 28 plus 3 over 27 equal to 192 over 756
Question 2(Multiple Choice Worth 1 points)
Answer:
%3.57
Step-by-step explanation:
The area of a rectangle is 1824 square feet. The length is 48 feet. What s the width?
Answer:
The width of the rectangle is 38.
Step-by-step explanation:
I know this because if I divide the area by the length then I should get the width.
So 1824/48=38
What is the equation of the line in slope-intercept form?
Answer:
y=0.6x+3
I got this by plotting the points into my calculator
Answer:
5 its 5
Step-by-step explanation:
Round to the nearest whole foot.
Answer:
493
Step-by-step explanation:
-1 7/8 divided by -6 equals
Exact Form:
5/16
Decimal Form:
0.3125
hope i get brainlest :3
The larger of the two numbers is 4 more than twice the smaller. The difference of the larger number and the smaller number is 6. Find the numbers.
Answer:
2 and 8
Step-by-step explanation:
Larger number = y
Smaller number = x
---------------------------------
y = 2x+4
y - x = 6 -> y= x+6
---------------------------------------
x + 6 = 2x + 4
2 = x
y = x+ 6
y = 2 + 6
y = 8
Hope this makes sense!!!!
Jacob is using coordinate system to design a rhombus-shaped building. Side LaTeX: \frac{ }{AB}A B passes through point (6, 6) and is perpendicular to the graph of LaTeX: y=\frac{3}{4}x-11y = 3 4 x − 11. Side LaTeX: \frac{ }{CD}C D is parallel to side LaTeX: \frac{ }{AB} and passes through point (−6, 10). What is the equation in slope-intercept form of the line that includes side LaTeX: \frac{ }{CD}
Answer:
[tex]y= \frac{-4}{3}x +2[/tex]
Step-by-step explanation:
Given
[tex]AB = (6,6)[/tex]
perpendicular to
[tex]y = \frac{3}{4}x - 11[/tex]
CD parallel to AB
CD passes through (-6,10)
Required
Determine the slope-intercept form of line CD
First, we need to determine the slope of AB
For [tex]y = \frac{3}{4}x - 11[/tex]
Slope, [tex]m_1 = \frac{3}{4}[/tex]
Represent slope of AB with m2
Since both are perpendicular:
[tex]m_2 = -1/m_1[/tex]
[tex]m_2 = -1/\frac{3}{4}[/tex]
[tex]m_2 = -1 * \frac{4}{3}[/tex]
[tex]m_2 = \frac{-4}{3}[/tex]
To determine the equation of CD, we need to determine its slope:
Since CD is parallel to AB, then
[tex]m = m_2 = \frac{-4}{3}[/tex]
The slope intercept form of CD is as follows;
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
[tex](x_1,y_1) = (-6,10)[/tex]
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 10 = \frac{-4}{3}(x - (-6))[/tex]
[tex]y - 10 = \frac{-4}{3}(x +6)[/tex]
Open Bracket
[tex]y - 10 = \frac{-4}{3}x +\frac{-4}{3} * 6[/tex]
[tex]y - 10 = \frac{-4}{3}x -4 * 2[/tex]
[tex]y - 10 = \frac{-4}{3}x -8[/tex]
Add 10 to both sides
[tex]y - 10 + 10= \frac{-4}{3}x -8 + 10[/tex]
[tex]y= \frac{-4}{3}x +2[/tex]
How to find the range with only the domain?
Answer:The average person walks past at least 16 murderers in their lifetime.
Step-by-step explanation:duhhhhhhhhhhh
Can can someone help me with this I don’t know
Answer:
29500
Step-by-step explanation:
subtract the two numbers
Answer:
29500 more ppl live in the city now.
Step-by-step explanation:
you have to subtract 89000-59500 and you will get 29500.
then if you add 59500+29500 you will get 89000. which shows that the answer is 29500
Two sides of a rectangle are the some length. r.The other two side are each 4 meters .The perimeter of the rectangle is 26 meters.
Write a equation that represents the situation
A4cm x 6 cm rectangle sits inside a circle with radius of 11 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
4 cm
11 cm
6 cm
Answer:
355.94 cm squared
Step-by-step explanation:
Area of rectangle = 4 cm * 6 cm = 24 square cm
Radius (r) of circle = 11 cm
[tex]Area \: of \: circle = \pi {r}^{2} \\ \\ = 3.14 \times (11)^{2} \\ \\ = 3.14 \times 121 \\ \\ = 379.94 \: {cm}^{2} \\ \\ area \: of \: shaded \: region \\ \\ = 379.94 - 24 \\ \\ = 355.94 \: {cm}^{2} \\ [/tex]
Answer: 355.94 cm squared
Step-by-step explanation:
= 3.14 x (11)²
= 3.14 x 121
= 379.94 - 24
= 355.94 centimeters squared
How many square feet of wallpaper would be needed to cover the wall
Answer:
depend on how big the wall is and how tall it is
Step-by-step explanation:
Find the slope of the line through
(-3, 19) (-1, -6)
If f (x)=2x^2+5 square root x-2
The value of f(2) in the given algebraic expression is: 18
How to solve the Algebraic Expression?The algebraic expression we are given is expressed as:
f(x) = 2x² + 5√(x + 2)
Now, we want to find f(2) which means we want to find the range when the domain is x = 2. Therefore we solve it as:
f(2) = 2(2)² + 5√(2 + 2)
f(2) = (2 * 4) + 5√4
f(2) = 8 + 5√4
f(2) = 8 + (5 * 2)
f(2) = 8 + 10
f(2) = 18
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Complete Question is:
If f(x) = 2(x)^2 + 5 square root (x+2), complete the following statement f(2) = ______
PLS HELP
solve for P
8= p/7 (that's a fraction the p/7 is a fraction )
P=
Step-by-step explanation:
Hey there!
Given;
[tex]8 = \frac{p}{7} [/tex]
Multiply 7*8 for finding value of "p".
[tex]p = 8 \times 7[/tex]
[tex] p = 56[/tex]
Therefore the value of "p" is 56.
Hope it helps...
Answer:
P = 56 i think i am not sure
Step-by-step explanation:
