Answer:
n=-7
Step-by-step explanation:
-2(n+2)+6
-2n+2=16
-2n=14
n=-7
4+2i/2−i solve for this expression
Answer: [tex]\frac{6+8i}{5}[/tex] [tex]or[/tex] [tex]\frac{6}{5}+\frac{8i}{5}[/tex]
Step-by-step explanation:
Multiply the numerator and denominator of [tex]\frac{4+2i}{2-i}[/tex] by the conjugate of [tex]2-i[/tex] to make the denominator real.
[tex]\frac{4+2i}{2-i}*\frac{2+i}{2+i}[/tex]
Multiply using the distributive property (foil method)
[tex]\frac{6+8i}{5}[/tex]
Answer: [tex]\frac{6+8i}{5}[/tex] [tex]or[/tex] [tex]\frac{6}{5}+\frac{8i}{5}[/tex]
What are the vertex and x-intercepts of the graph of the function given below?
y = x2 - 2x-35
A. Vertex: (1, -36); intercepts: x = 7,-5
B. Vertex: (0,0); intercepts: x= -4,-5
C. Vertex: (7,5); intercepts: x = 7,8
D. Vertex: (1, -25); intercepts: x = 6,-4
Answer:the answer is A
Step-by-step explanation:
The vertex and x-intercepts of the graph of the function y = x²- 2x-35 is (1, -36) and intercepts: x = 7,-5, option A is correct.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The x-coordinate of the vertex can be found using the formula x = -b/2a, where a and b are the coefficients of the x² and x terms, respectively. In this case, a = 1 and b = -2, so x = -(-2)/(2×1) = 1.
Lets find the y-coordinate of the vertex.
To find the y-coordinate of the vertex, we substitute the x-coordinate we found in step 1 into the equation and evaluate.
y = (1)² - 2(1) - 35 = -36
So the vertex is at (1, -36).
Now find the x-intercepts.
To find the x-intercepts, we set y = 0 and solve for x.
0 = x² - 2x - 35
This equation can be factored as (x - 7)(x + 5) = 0.
So the x-intercepts are at x = 7 and x = -5.
Therefore, the vertex and x-intercepts of the graph of the function y = x²- 2x-35 is (1, -36) and intercepts: x = 7,-5, option A is correct.
To learn more on Quadratic equation click:
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Use a number line to help if needed.
6 Order the numbers from least to greatest.
a. -8, -6, -5, -7
b. -8.2, 6, -3.5, 8.2, -5
Answer:
A. -8,-7,-6,-5 B. -8.2,-5,-3.5,6,8.2
Step-by-step explanation:
Simplify the expression:-5-(-26)
Answer:
21
Step-by-step explanation:
-(-26) would be positive 26 because one negative multiplied by another negative equals a positive. We are left with -5+26 which would equal 21.
3x+7y-12 where x=-4 and y= 6 *
Replace x any with their values:
3(-4) + 7(6) -12
Simplify:
-12 + 42 -12
Solve:
-12 + 42 -12 = 42
Answer:
42
Step-by-step explanation:
3(4)+7(6)-12
12+42-12
54-12
42
9a-ab+5b
if a=2 and b=7
Answer:
39
Step-by-step explanation:
9a=18 ab=14 5b=35
18-14+35=39
Answer:
39
Step-by-step explanation:
9a-ab+5b
a=2 and b=7
we substitute the variables with their real numbers
9(2)-(2 x 7)+5(7)
from here we just simplify the equation
18-14+35=39
Can someone help me with this please?
Answer:
1 over 2 is the slope :)
Step-by-step explanation:
Help someone please !!!!!!!!!!!!!!!!!!!!!!! The temperature one winter morning is -12 degrees fahrenheit,by noon,the temperatures rises by 5 degrees,and by 4p.m,the temperatures is 0 degrees. By how many degrees does the temperatures rise between noon and 4p.m., in degrees fahrenheit??
Answer:
The temperature rises 7 degrees between noon and 4pm.
Step-by-step explanation:
First, you add 5 to the -12. This gets you to the answer of 7. Then, since the temp. rises to 0 degrees by 4, you know that the difference between noon and 4 pm is 7 degrees.
Determine the number of solutions,
y = -x-4
12y + 48 = 8x
Answer:
one solution
Step-by-step explanation:
The ratios of x-coefficient to y-coefficient for these equations are -1 and 2/3. These values are different, so the lines have one point of intersection.
There is one solution.
__
The solution is (x, y) = (0, -4).
Which parallelogram has an area of 60 square units?
Answer:
The answer is B
Step-by-step explanation:
Multiply base•height
Finding the area of each parallelogram, applying the formula, it is found that the parallelogram D has an area of 60 square units.
---------------------------
Similarly to a rectangle, the area of a parallelogram is given by height multiplied by base, that is:
[tex]A = hb[/tex]
---------------------------
In item A, the height is of 15 units and the base is of 10 units, thus, the area, in square units, is of [tex]15 \times 10 = 150[/tex].In item B, the height is of 6 units and the base is of 10.2 units, thus, the area, in square units, is of [tex]6 \times 10.2 = 61.2[/tex].In item C, the height is of 15 units and the base is of 15 units, thus, the area, in square units, is of [tex]15 \times 15 = 225[/tex].In item D, the height is of 10 units and the base is of 6 units, thus, the area, in square units, is of [tex]10 \times 6 = 60[/tex], which means that this is the correct option.A similar problem is given at https://brainly.com/question/14099239
f(x) = x^2- 2x- 3
g(x) = 5x^2
²
Find f (g(x)) -
Greetings from Brasil...
For the composite function F(G(X)), just replace the function G(X) in the X of F(X):
F(X) = X² - 2X - 3
G(X) = 5X²
F(G(X)) = [G(X)]² - 2 · [G(X)] - 3
F(G(X)) = [5X²]² - 2 · [5X²] - 3
F(G(X)) = 25X⁴ - 10X² - 3Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (-5, -1); slope = negative 3 over 5
Answer:
The slope-intercept form of the equation of the line is [tex]y = -\frac{3}{5} \cdot x -4[/tex].
Step-by-step explanation:
We know that the slope-intercept form of the equation of the line is represented by:
[tex]y = m\cdot x + b[/tex]
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
From statement we find that [tex]m =-\frac{3}{5}[/tex]. If [tex]x = -5[/tex] and [tex]y = -1[/tex], the value of the y-intercept is:
[tex]-1 =-\frac{3}{5}\cdot (-5)+b[/tex]
[tex]-1 = 3 + b[/tex]
[tex]b = -4[/tex]
The slope-intercept form of the equation of the line is [tex]y = -\frac{3}{5} \cdot x -4[/tex].
Find the median and mean of the data set below: 35 , 28 , 19 , 18
Answer:
Hi there!
Your answer is:
Median: 23.5
Mean: 25
Step-by-step explanation:
The mean is the average of all the numbers in your dataset. You determine this by adding all the numbers together and dividing by the # of numbers in your set!
35+28+19+18 = 100.
100/4 = 25
The median is the middle number of your data set! This is determined by counting off the numbers from each side of the equation after setting them in order from least to greatest. If there are 2 remaining, you must find the average of those!
35 , 28, 19 , 18 from least to greatest is
18, 19, 28, 35
/. /
Now find the average of 19 and 28!
19+28 = 47
47/2 = 23.5
Answer:
Step-by-step explanation:
Find the median and mean of the data set below:29,39,28,5029,39,28,50
3x6 even or odd? Please
Answer:
it is even .............
Answer:
3x6=18 so its even
Step-by-step explanation:
Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.
The least common denominator of the fractions 2/9 and 3/4 is 36
How to determine the least common denominator?The fractions are given as 2/9 and 3/4
The denominators in the above fractions are 9 and 4
List the multiples of 9 and 4
9: 9, 18, 27, 36, 45
4: 4, 8, 12, 16, 20............, 36, 40....
The smallest common multiple in the above list is 36
Hence, the least common denominator of 2/9 and 3/4 is 36
Read more about least common denominator at:
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The sum of a rational number and an irrational
number is
rational.
DONE
Answer:
Step-by-step explanation:
The sum of any rational number and any irrational number will always be an irrational number.
I need help will mark as BRAINIEST
Identify the function family of a graph that is made up of two straight lines, has an absolute
maximum or absolute minimum, and is symmetric.
Answer:
The answer is Linear absolute value .
I hope I helped ;-)
Step-by-step explanation:
Can you find the number of triangles in the given figure?
Answer:
20?
Step-by-step explanation:
Will Mark BRAINLIEST!
We want to factor the following expression:
(x + 5)^4 + 2(x + 5)^2 - 1
Which pattern can we use to factor the expression?
U and V are either constant integers or single-variable expressions.
Answer:
We can’t use any of the patterns
Explanation: I took the quiz
What point located in quadrant IV has an x-value that is 3 units from the origin and a y-value that is 3 units from the origin?
Answer: X=27y+3r jkjkljlkjlkjljljkljkjkljlkjlkjlkjlkjlkjlkjkljlkjlkj
4x-7=7x-61 solve for x
Answer:
x = 18Step-by-step explanation:
4x - 7 = 7x - 61
Subtract 7x from both sides
That's
4x - 7x - 7 = 7x - 7x - 61
- 3x - 7 = - 61
Add 7 to both sides
We have
- 3x + 7 - 7 = - 61 + 7
- 3x = - 54
Divide both sides by - 3
That's
[tex] \frac{ - 3x}{ - 3} = \frac{ - 54}{ - 3} [/tex]We have the final answer as
x = 18Hope this helps you
Answer: 18
Step-by-step explanation:
4x - 7 = 7x - 61
+61 +61
4x + 54 = 7x
divide both sides by 4
x + 27/2 = 7/4x
-x -x
27/2 = 3/4x
divide both sides by 3/4
x = 18
What is the change in temperature from 15°F to -8°F?
Answer:
23 degrees
Step-by-step explanation:
15 - (-8)
15 + 8
23
Hope this helps :)
Answer: 23
Step-by-step explanation: hope this is right and it helps
6(x+9)+7x+14= Distributive Property=simplifying am Expression By multiplying a number a sum or difference.
Answer:
13x+38
Step-by-step explanation:
hope this'll help
PLZ HURRY IT'S URGENT!!
The sum of a number and six is seven times the number.
Which is a translation of the sentence into an equation?
n + 6 = 7n
n − 6 = 7n
7(n + 6) = n
n = 7n + 6
Answer:
n + 6 = 7n
Step-by-step explanation:
"The sum of a number and six" would mean the number plus 6: n+6 and "is seven times the number" indicates that it would be equal to the product of 7 for n: 7n. According to this, the answer is that the translation of the sentence into an equation is: n+6=7n.
n − 6 = 7n is not right because the statement says the sum of a number and six.
7(n + 6) = n is not right because the statement indicates that seven multiplies n on the right side as it says seven times the number.
n = 7n + 6 is not right because the statement says the sum of a number and six which would be on the left side and that this would be equal to seven for n.
what is the domain and range of relation (4,3)(-2,2)(5,-6)
3x4+10-5+20-5+15-19+5+100+1,000+20+70+1-12+780
Answer:
1992
Step-by-step explanation:
don't think you need an explanation...
Answer:
3x4+10-5+20-5+15-19+5+100+1,000+20+70+1-12+780=1992.
Step-by-step explanation:
follow the order of operations and you will easily get the answer!
A rectangular hotel room is 4 yards by 5 yards. The owner of the hotel wants to recarpet the room with carpet that costs $51.92 per square yard. How much will it cost to recarpet the room?
Answer:
it will cost him $2204 to recarpet the room.
Step-by-step explanation:
The floor of the room is rectangular. The formula for determining the area of a rectangle is expressed as
Area = length × width
The rectangular hotel room is 4 yards by 7 yards. It means that the area of the rectangular floor would be
Area = 4 × 7 = 28 square yard.
If the cost of the carpet $58.00 per square yard, the total that it will cost to recarpet the room would be
38 × 58.00 = $2204
What is the answer to 2x >/= -6 + x-1<0 ?
Answer:
x < 7
Step-by-step explanation:
what is √343 in simplest form
Answer:
343½ = 7 x 7½
Step-by-step explanation:
Step 1: List Factors. List the factors of 343 like so:
Step 2: Find Perfect Squares. Identify the perfect squares* from the list of factors above:
Step 3: Divide. ...
343 / 49 = 7.
Step 4: Calculate.
Step 5: Get Answer.
Answer:
[tex]7\sqrt{7}[/tex]
Step-by-step explanation:
simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Anyone know the answer to
13x-4=11x+10-8
Answer:
Step-by-step explanation:
13x - 4 = 11x + 2
2x - 4 = 2
2x = 6
x = 3
