Answer:
Step-by-step explanation:
The roots of the quadratic equation below using the quadratic formula are option A. [-9 ± √105 ] / 6.
Given is a quadratic equation,
3x² + 9x - 2 = 0
Quadratic formula to find the roots of a general quadratic equation ax² + bx + c is,
x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a
Here a = 3, b = 9 and c = -2.
Substituting the values,
x = [-9 ± [tex]\sqrt{9^2-(4)(3)(-2)}[/tex] ] / (2 × 3)
= [-9 ± [tex]\sqrt{81+24}[/tex] ] / 6
= [-9 ± √105 ] / 6
So the roots are [-9 ± √105 ] / 6.
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Find the slope of the line that passes through the pair of points
(3,-3), (3,-4)
A undefined
B 0
C -7/6
D -6/7
Answer:
undefined
Step-by-step explanation:
To find the slope through 2 points
m = ( y2-y1)/(x2-x1)
= ( -4 - -3)/(3 - 3)
= ( -4+3)/(3-3)
= -1/0
Since it is a number divided by zero, the slope is undefined
12 men or 15 women can do a piece of work in 21 days find the number of days to complete the same work by 6 men and 10 women
someone help plsplspls
Answer/Step-by-step explanation:
Volume of a cone = ⅓*π*r²h
Where,
Radius (r) = 7 mm
Height (h) = 8 mm
Plug in the value into the equation
V = ⅓*3.14*7²*8
V = ⅓*3.14*49*8
V = 410.293333
V ≈ 410.3 mm³ (nearest tenth)
Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent? (a divided by b) divided by 100
(b divided by a) divided by 100
100 (a divided by b)
100 (b divided by a)
Answer:
100(a/b)
Step-by-step explanation:
Fraction
a/b
To a percent
100(a/b)
100(a/b)
________________took the test review
(got 100%)
If f(x) = 3x + 4, what is the value of f(-4)?
Answer:
-8
Step-by-step explanation:
f(x) = 3x + 4
substitute -4 in place of x
f(-4) = 3*-4 + 4
f(-4) = -12 + 4
f(-4) = -8
identify the postulate (if any) that can be used to show the two triangles are congruent.
Answer:
Step-by-step explanation:
1) SSS
2) SAS
3) SSA
4) SSA
no, don't say Angle Side Side... :P
What is the same as writing that “Angles 5 and 6 are supplementary adjacent angles”?
Angles 5 and 6 are not next to each other and sum up to 180°.
Angles 5 and 6 are not next to each other and sum up to 90°.
Angles 5 and 6 are next to each other and sum up to 180°.
Angles 5 and 6 are next to each other and sum up to 90°.
Answer:
Angles 5 and 6 are next to each other and sum up to 180°.
Step-by-step explanation:
supplement means adding up to 180
Angles 5 and 6 are next to each other and sum up to 180°.
Step-by-step explanation:
supplement means adding up to 180
Can someone simplify? I'm confused-
find the value of a and b in x^2+2x=13
Answer:
a =1 and b =2
Step-by-step explanation:
The standard quadratic is written in the form
ax^2 +bx+c =0
x^2 +2x -13 =0
a =1 and b =2
Find the center and the radius of the circle given this equation:
2
x + 4x + y ² -10y +20=0
Answer:
vertex: (5/6,5)
focus: (- 2/3, 5)
axis of symmetry: y = 5
directrix: x = 7/3
Step-by-step explanation:
use the vertex form to determine the values of a.h. and k and use these values to find the direction the parabola opnes, vertex, foucs, axis of symmetry, and directrix
Marcy is taking part in a summer movie club. She will earn 3 points for each movie she attends throughout the summer. Which equation represents the relationship between y, the total points, and x the number of movies?
a
\large y=3x
b
\large y=3+x
c
\large x=3y
d
\large x=y+3
Can u solve these please I need help
Answer:
Step-by-step explanation:
take 48 degree as reference angle
using tan rule
tan 48=opposite/adjacent
1.11=missing side/58
1.11*58=missing side
64.38=missing side
A quadrilateral has one pair of parallel sides with lengths 1 3/4 inches and 1 1/4 inches, and two angles that each measure 36 degrees.
Answer:
d
Step-by-step explanation:
one side is shorter than the other so it cant be any other option
Is b = 4 a solution to the inequality below?
3 ≥ b
Also can someone tell me how to do this? step by step?
Answer:
b=4
Step-by-step explanation:
4 Also can someone tell me how to do this? step by step?
Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain.
Answer:
If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.
Step-by-step explanation:
Help me please
Express the number 0.307 x 10-Pin
scientific notation.
the answer is in the picture
what is the answer for this question? on the screenshot
Which of the following is an arithmetic sequence?
A. 6, 13, 20, 27, 34
B. 2, 5, 7, 12, 19
C. 3, 6, 9, 15, 24
D. 2, 4, 8, 16, 32
Answer:
A
Step-by-step explanation:
Because it’s the only sequence that have a common difference
The correct sequence which is an arithmetic sequence is,
⇒ 6, 13, 20, 27, 34
Hence, Option A is true.
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
We have to given that,
To find an arithmetic sequence.
For option A;
A. 6, 13, 20, 27, 34
Common difference is,
13 - 6 = 7
20 - 13 = 7
27 - 20 = 7
Thus, The correct sequence which is an arithmetic sequence is,
⇒ 6, 13, 20, 27, 34
Hence, Option A is true.
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Find the probability of this event Enter the answer as a fraction in simplest form, as a decimal, and as a
percent
You choose a marble at random from a bag containing 12 red, 12 blue, 4 green, 6 yellow, and 26 black
marbles,
The marble is red
Answer:
12+12+4+6+26=50
12/50=6/25=0.24=24%
Answer:
1/5.
Step-by-step explanation:
First you have to add up all of the numbers: 12+12+4+6+26. Then you have to find how many red marbles there are, which this case there are 12, so you get your fraction of 12/60 which can be reduced to 1/5.
Which expressions are equivalent. Picture Provided. NO LINKS! NEED ANSWER ASAP
Answer:
B) 3^-5 (1 / 243) and D) 2^5 x 6^-5 (1 / 243)
Step-by-step explanation:
3 to the negative 5th power as a fraction is
1 / 243.
2 to the power of 5 multiplied by 6 to the power of negative 5 also equals 1 / 243.
Both expressions are equivalent to 2^5 / 6^5 because they equal the same thing (1 / 243).
Question 1 (Essay Worth 10 points)
(06.02 MC)
Part A: Write an algebraic expression for 6 more than 7 times a number. (5 points)
Part B: Write a verbal expression for 3(n + 8). (5 points)
Answer:
A. 7n+6
B Three times the quantity of a number plus eight
Step-by-step explanation:
A more than means it comes after
7 times a number
7n
6 more than
7n+6
B 3( n+8)
Three times the quantity of a number plus eight
expanded notation for 209.36
Answer:
2.0936 * [tex]10^{2}[/tex]
Hope that this helps!
LIVE
Carlos is saving money to buy a set of golf clubs that cost $530. He already has $80.00 saved and can earn the rest of the money by mowing 15
lawns. If m represents how much he earns for mowing each lawn, which of the following equations can be solved to find how much Carlos is paid for
mowing each lawn?
Answer:
15m+80 would be the correct equation
Answer:
15*m=(530-80)
Step-by-step explanation:
30$ per lawn. 530-80=450. This gives us how much money he still needs to buy his gulf clubs. But, the question says that Carlos can earn the rest of the money ($450) by mowing 15 lawns.
Here's how we model that as an expression:
15m=(530-80)
15 lawns for m dollars would get him 530-80 (450) or the remaining amount.
Hope this helps!
In the data set below, what is the mean absolute deviation? 43 25 43 30 55 10 81 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD)
Answer:
16.6
Step-by-step explanation:
A 150 Ohm electric toaster is powered with a voltage of 120 v, what is its current intensity
Intensity = Voltage ÷ Electerical Resistance
Intensity = 120÷ 150
Intensity = 12/15
Intensity = 4×3/5×3
Intensity = 4/5
Intensity = 0.8 Amp
What is the value of n in the equation 1/2 (n - 4) - 3 = 3 - (2n + 3)?
A. n = 0
B. n = 2
C. n = 4
D. n = 6
HELP PLEASE!!!!
Answer:
n=2
1/2n-2-3=3-2n-3
1/2n+2n=3+2+3-3
2/1/2n=5
5/2n=5
n=5 multiply 2/5
n=2
What is the equation of the line that is parallel to the given line and passes theought the point (12, -2)
Y= -6/5x + 10
Y= -6/5x + 12
Y= -5/6x - 10
Y= 5/6x - 12
Answer:
Option D (y = 5/6x -12).
Step-by-step explanation:
Hey there!
The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].
According to the question, the first line passes through point (12,6) and (0,-4).
So,
[tex]slope(m1) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]or \: m1 = \frac{ - 4 - 6}{0 - 12} [/tex]
[tex]or \: m1 = \frac{5}{6} [/tex]
Therefore, the slope of the line is 5/6.
Now as per the condition of parallel lines, m1 =m2 = 5/6.
So, keeping the value of m2 in equation (i), we get;
(y+2) = 5/6(x-12)
[tex]y + 2 = \frac{5}{6} x - 10[/tex]
or, y = 5/6x - 12.
Therefore, the required equation is y = 5/6 X - 12.
Hope it helps!
1.What is the measure of each angle of an equilateral triangle? 2. Why is it the measure of each angle? please help
Answer:
1. 60°
2. The sum of angles of a triangle is 180°. Since it's an equilateral, all 3 angles are the same.
180 ÷ 3 = 60°
The width of a rectangle, in feet, is represented by (3x + 2). The length of the rectangle, in feet, is represented by (5x + 4). Find the perimeter of the rectangle
Answer:
2*(5x+4) + 2*(3x+2)
= 10x + 8 + 6x + 2
= 16x + 10
The perimeter of the rectangle, in feet, is represented by (16x + 10)
Answer:
(16x + 12) ft
Step-by-step explanation:
Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2
Perimeter of the rectangle = (16x + 12) ft
How many times does the company expect the album to be downloaded in the 11th month?