Answer:
x = {-3, 4}
Step-by-step explanation:
(3x + 9)(x − 4) = 0
Solution 1
3x + 9 = 0
3x = -9
x = -3
Solution 2
x - 4 = 0
x = 4
x = {-3, 4}
---------------------------
if by solve you meant expand
(3x + 9)(x − 4) = 0
3x² - 12x + 9x - 36 = 0
3x² - 3x - 36 = 0
Answer:
x = 4
x = - 3
Step-by-step explanation:
Method 1
Quadratic Formula
(3x + 9)(x - 4) = 0
3x(x - 4) + 9(x - 4) = 0
3x² - 12x + 9(x - 4) = 0
3x² - 12x + 9x - 36 = 0
3x² - 3x - 36 = 0
3(x² - x - 12) = 0
[tex]\frac{3(x^{2} - x - 12)}{3} = \frac{0}{3}[/tex]
[tex]x={\frac{-b±\sqrt{b^{2}-4ac } }{2a} }[/tex]
Ignore the A after the -b, wouldn't let me type it correctly. Ignore the A for the rest of the explanation as well.
x² - x - 12 = 0
a = 1
b = - 1
c = - 12
[tex]x={\frac{-(-1)±\sqrt{(-1)^{2}-4(1(-12)) } }{2(1)} }[/tex]
[tex]x={\frac{-(-1)±\sqrt{1-4(1(-12)) } }{2(1)} }[/tex]
[tex]x={\frac{-(-1)±\sqrt{1+48 } }{2(1)} }[/tex]
[tex]x={\frac{-(-1)±\sqrt{49 } }{2(1)} }[/tex]
[tex]x={\frac{1±7 }{2(1)} }[/tex]
[tex]x={\frac{1±7 }{2} }[/tex]
Separate into two equations.
One with addition and the other with subtraction.
[tex]x={\frac{1+7 }{2} }[/tex]
[tex]x={\frac{1-7 }{2} }[/tex]
x = 4
x = - 3
Method 2
Factors
(3x + 9)(x - 4) = 0
3x(x - 4) + 9(x - 4) = 0
3x² - 12x + 9(x - 4) = 0
3x² - 12x + 9x - 36 = 0
3x² - 3x - 36 = 0
3(x² - x - 12) = 0
3(x² + 3x - 4x - 12) = 0
3(x² + 3x + (- 4x - 12)) = 0
3(x(x + 3) - 4(x + 3)) = 0
3(x - 4)(x + 3) = 0
Create separate equations
x - 4 = 0
x + 3 = 0
x - 4 = 0 ⇒ x - 4 + 4 = 0 + 4 ⇒ x = 4
x + 3 = 0 ⇒ x + 3 - 3 = 0 - 3 ⇒ x = - 3
x = 4
x = - 3
Plz help 27 pt this is getting graded plz plz Plz
Answer:
517.2
Step-by-step explanation:
It has sides you're not seeing so don't forget those.
You need to find the area of the front, back, two sides, and bottom
Front & back:
6*5.2* 1/2
31.2/2 = 15.6 for each
Sides:
27*6 = 162 each
Bottom:
6*27 = 162
162+162+162+15.6+15.6= final answer
Answer: B
Step-by-step explanation:
First, you do 5.2 times 6 divided by two which is 15.6. Now you do 15.6 times two since there are two triangles and get 31.2. Now you do 27 times 6 times two and get 324 + 31.2 = 355.2. Lastly, you do 27 times 6 to get 162. 162+355.2 = 517.2
WILL MARK BRAINLIEST A granddaughter's age in months is equal to her grandmother's age in years. The sum of the granddaughter's age in years and the grandmother's age in years is 65. Find the grandmother's age in years.
Answer:
m = 60 years
Step-by-step explanation:
granddaughter's age in months is equal to her grandmother's age in years
d = m
The sum of the granddaughter's age in years and the grandmother's age in years is 65
d/12 + m = 65
Substitute
m/12 + m = 65
(13/12)m = 65
multiply both sides by 12/13
m = 65 * 12/13
m = 60 years
Answer:
60 years
Step-by-step explanation:
Let the age of grandmother be x years
So, age of granddaughter = x months = x/12 years
According to the question:
The sum of the granddaughter's age in years and the grandmother's age in years is 65.
[tex]x + \frac{x}{12} = 65 \\ \\ \frac{12x + x}{12} = 65 \\ \\ \frac{13x}{12} = 65 \\ \\ x = 65 \times \frac{12}{13} \\ \\ x = 60 \\ [/tex]
Thus, the age of grandmother is 60 years.
For their unit on the legislative branch, Mr. Escue's government class will have 1 test and 5 homework assignments to complete.
If the test is worth 100 points and each homework assignment is work 20% of the test, how many points may be earned during this unit?
A.
125 points
B.
120 points
C.
300 points
D.
200 points
It is known that ARST - AWXY. If RS =18, ST = 25, and TR=11 then which of the following is closest
to the ratio of XY to WX?
(1) 0.44
(3) 2.27
(2) 1.39
(4) 0.72
Answer:
[tex]XY : WX = 1.39[/tex]
Step-by-step explanation:
Given
[tex]RS = 18; ST = 25; TR = 11[/tex]
Required
Which is closest to [tex]XY : WX[/tex]
From the question, we understand that: [tex]\triangle RST[/tex] and [tex]\triangle WXY[/tex] are similar.
This means that, the following sides are similar:
[tex]RS \to WX[/tex]
[tex]ST \to XY[/tex]
[tex]TR \to YW[/tex]
So:
[tex]XY : WX = ST : RS[/tex]
This gives:
[tex]XY : WX = 25 : 18[/tex]
Express as fraction
[tex]XY : WX = \frac{25 }{ 18}[/tex]
[tex]XY : WX = 1.39[/tex] --- approximated
The graph of a linear equation is shown. y ОN HNWO -7-6-5-4-3-2-11+1234 5 6 7 -27 -3 가 Place values in the table to show three ordered pairs that are each part of the solution set of the linear equation. 2 P. y – 4 2 -6 -3 - 6
Answer:
n
Step-by-step explanation:
s
In the 30-60-90 triangle below, side s has a length of
length of
and side r has a
I'M NOT SURE
Step-by-step explanatioI'M NOTN SURE
Answer:
when you see 30 60 90 trangle always remembee this important information
30 degree meet x
90 degree meet 2x
60 degree meet xsqrt3
for example if we Saw the 90 degree meet 4 and unknown degree meet 2 we have to know that unknown degree is 30 hopefully you can understand what iam saying because my engilish begin come bad when i explain any thing
Can someone please help?
Answer:
2,000,000
Step-by-step explanation:
I also need help with these
Answer:
Triangles = 4
Rectangles = 2
Step-by-step explanation:
Triangle.
8/2 = 4 . ratio = 4:1 or fraction form as 4
Rectangle.
4/2 = 2. ratio = 2:1 or fraction form as 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
in APQR, T, U and S are points of tangency. PR - 12 units. Find TR
0
Answer:
TR = 3 units
Step-by-step explanation:
Recall: tangents drawn from an external point are equal to each other
Therefore,
TR = UR
We need to find UR first
Thus:
UR = PR - UP
PR = 12 (given)
UP = SP = 9 (tangents drawn from an external point are congruent)
UR = 12 - 9
UR = 3 units
Therefore,
TR = UR = 3
TR = 3 units
Find the measure of the exterior angle.
Answer:
u = 143º
Step-by-step explanation:
Sum of angles in a triangle is 180
The unknown angle IN the triangle
x + 90 + 53 = 180
x + 143 = 180
x = 37º
x and u are supplementary angle which total 180
u + 37 = 180
u = 143º
There were 35 children and 10 adults at a cookout. What is the ratio of adults to children at the cookout?
Answer:
2:7
Step-by-step explanation:
10:35 can also be written as 2:7
Thenks and mark me brainliest :))
Directions: Solve for the surface area of the following figures using the formula.
no links pls. i really need it T-T
Answer:
3^3 x 3.14
9 x 3.14 = 28.26
28.26 x 2 = 56.52
2 x 3.14 x 3 = 18.84
18.84 x 10 = 188.4
Now lets add all given areas:
56.52 + 188.4 = 244.92 m^2 for question 1
4 x 3.14 x 12^2
4 x 3.14 x 144 = 1,808.64 cm^2 is your answer for question 2
14^2 x 3.14
196 x 3.14 = 615.44
3.14 x 14 x 33 = 1450.68
1450.68 + 615.44 = 2,066.12 cm^2 is your answer for question 3 I think
Rearrange the formula P = 2(L + B) to solve for b.
Answer:
Step-by-step explanation:
what is the value of 6.3-(2 - 1.1)•4
Answer:
2.7
Step-by-step explanation:
Using PEMDAS you do 2-1.1 first which is is 0.9 then you multiply it by 4 you get 3.6 and then you subtract that by 6.3 and you get 2.7
Answer: 2.7
Use PEMDAS method.
What is the degree?
6−n
2
+5n
3
solve for x. label the sides adj, opp, and/or hyp based on the part you see. show work round to the nearest 10th
Answer:
[tex]x=37.4[/tex]
Step-by-step explanation:
In an right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse (a/h).
Therefore, we have the following equation:
[tex]\cos 68^{\circ}=\frac{14}{x},\\x=\frac{14}{\cos 68^{\circ}}\approx\boxed{37.4}[/tex]
help y’all what shape is this
Below is how many times each of the eight cows on frannies farm mooed yesterday
Answer: 8 cows mooed
Step-by-step explanation:
what is 3 x 3 x 9 x 9 x 81 x 81 x 6561 x 6561
Answer:
205891132094649
Question 33 of 42 Which of the following terms best describes a comparison of two numbers? O A. Ratio B. Inverse variation C. Proportion O D. Rational expression
Answer:
my best guess is A. ratio
Tiya earns $7 an hour mowing her neighbor's lawn.
Part A: Create two variables and determine which is dependent and which is independent for this situation. (4 points)
Part B: List three ordered pairs to show the values of the two variables. (3 points)
Part C: Write an equation to represent the relationship between the two variables. (3 points)
Part A) The independent variable is the hours that Tiya mows her neighbor's lawn, and we can denote that with x. It's the variable that isn't affected by other factors. The dependent variable is the amount of money Tiya earns, which we can denote with y. The dependent variable is the variable that is affected by other factors. The amount of money Tiya makes depends on how many hours she works.
Part B) As stated in part A, x is the hours and y is the money earned. The ordered pairs are in (x, y) form, with x being the hours and y being the money earned. For example, if Tiya worked one hour, x would be 1. As she earns 7 dollars per hour, she would earn 7 dollars (1*7), which is y. Therefore, one ordered pair could be (1, 7). Two hours would give Tiya 14 dollars, so we have another pair of (2, 14). Three hours would give Tiya 21 dollars, so we have (3, 21). We can do that for any numbers.
Part C) With every hour, Tiya earns 7 dollars. In order to find y, which is the amount of money totally earned, we multiply x by 7 (7 dollars per hour). Therefore, y = 7x.
The variables are:
x = number of hours that she worksy = how much she gets paid.And the proportional relation that relates them is:
y = $7*X
How to define variables?
The only information that we know is that Tiya earns $7 per hour, so the only variables that we can use are money and time.
The independent variable will be time, because she can decide how much time can she work. The dependent variable is money, because how much she earns depends on how many hours she works.
How to get ordered pairs?The ordered pairs are of the form (number of hours, money).
Some examples for this case are:
(0 hours, $0)(1 hour, $7)(2 hours, $14).How to get the equation?We define the variables.
x = number of hours that she worksy = how much she gets paid.Because she wins $7 per hour, the proportional equation will be:
y = $7*x
If you want to learn more about proportional equations, you can read:
https://brainly.com/question/12242745
Pizza Pies charges $12 for a medium pizza and an additional $0.50 for each topping. Write an equation to represent the total cost, C, of a medium pizza with t toppings. Then identify the independent and dependent variables in this situation.
C = 12t + 0.5
C = 0.5t + 12
t = 12C + 0.5
t = 12 + 0.5C
Answer:
C = 0.5t + 12. Independent variable is t and the dependent variable is C.
Step-by-step explanation:
$12 is constant, and then $0.50 is multiplied to the amount of toppings (t). So C= 0.5t + 12 and the cost is dependent on the amount of toppings.
Answer:
C = 0.5t +12
Step-by-step explanation:
this is the answer
solve. 3w-4z=8 and 2w+3z=-6
jennifer is trying to save up for emergency fund of 3000. which saving strategy would likely be most effective in helping her meet her goal
Answer:
Save money by a job
Step-by-step explanation:
She can help peoplw, oe get a small job and save up :)
El doble de un número aumentado en 8 es -24. ¿Cuál es el número?
Answer:
La respusta es 16
Step-by-step explanation:
8x2=16
16+8=24
I hope this helps!!
What is the simple interest on 500 for 5 years at the rate of 5% per annum
Answer:
125
Step-by-step explanation:
Formula Simple interest:
P x r x t
out of 20 consecuative whole number two are chsen at random.then the probability that ther?
Answer:
2/20
Step-by-step explanation:
since,there are 20 whole number and if u put 2 random number the,
probability(P)=favorable outcome/possible outcome
so p=2/20
Thank You
line f has a slope of -3. what is the slope of the line that is parallel to line f
Answer:
A line parallel has the same slope, so -3
The slope of the line that is parallel to line f is -3.
The given line f has a slope of -3.
We need to find the slope of the line that is parallel to line f.
What are parallel lines slope?The slope of parallel lines. The slope of parallel lines is equal. The parallel lines are equally inclined with the positive x-axis and hence the slope of parallel lines is equal. If the slopes of two parallel lines are represented as [tex]m_{1}[/tex], [tex]m_{2}[/tex] then we have [tex]m_{1}=m_{2}[/tex].
So, the slope of the parallel line=-3
Therefore, the slope of the line that is parallel to line f is -3.
To learn more about the slope of parallel lines visit:
https://brainly.com/question/11265736.
#SPJ5
30 POINTS, HELP!!
A sporting goods store sells two types of bicycles, in two colors. The table shows its sales over the last year.
Are buying a road bike and buying a silver bike independent events?
A. No, because P(road bike) = 0.625 and P(road bike│silver) = 0.375.
B. No, because P(road bike) = 0.625 and P(road bike│silver) = 0.625.
C. Yes, because P(road bike) = 0.375 and P(road bike│silver) = 0.625.
D. Yes, because P(road bike) = 0.625 and P(road bike│silver) = 0.625.
Answer:
Answer D
Step-by-step explanation:
120 + 81+ 39=240 silver bikes
80+54+26= 160 black bikes
Total 200 + 135 + 65= 400
240+ 160=400
Answer:
yes, because P(road bike) = 0.625 and P(road bike | silver) = 0.625
Step-by-step explanation:
What are the solutions to the quadratic function?
Please help
Answer:
x={-3, 2}
Step-by-step explanation:
Solution to quadratic function are places where function crosses x axis, so where f(x)=0
Answer:
Step-by-step explanation:
-4 and 2