Answer:
x is 2 and -8
Step-by-step explanation:
[tex] {x}^{2} + 6x - 16 = 0[/tex]
general equation
[tex] {ax}^{2} + (sum)x + product = 0[/tex]
sum is 6, product is -16
for completing squares,
first divide the sum by 2:
[tex] = \frac{6}{2} = 3[/tex]
add the square of the result on (x² + 6x) and subtract it from the product:
[tex] ( {x}^{2} + 6x + {3}^{2} ) - 16 - {3}^{2} = 0 \\ {(x + 3)}^{2} - 25 = 0 \\ {(x + 3)}^{2} = 25[/tex]
take square root:
[tex] \sqrt{ {(x + 3)}^{2} } = \sqrt{25 } \\ x + 3 = ±5 \\ x = ±5 - 3[/tex]
x is either: 5-3 or -5-3
[tex]x = 2 \: \: and \: - 8[/tex]
compare and explain.
Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using
fractions when required.
Answer:
[tex]y=\frac{1}{3} x+6[/tex]
Step-by-step explanation:
[tex](3,7)(-6,4)[/tex]
Step 1. Find the slope (by using the slope-formula)
m = slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-7}{-6-3}[/tex]
[tex]m=\frac{-3}{-9}[/tex]
[tex]m=\frac{3}{9}[/tex]
[tex]m=\frac{1}{3}[/tex]
Step 2. Write the equation (using the slope and the points)
Here's how to do it:
Slope-intercept Formula [tex]y=mx+b[/tex] whrere m = slope and b = y-intercept
Plug in the slope into the Slope-intercept Formula
[tex]y=\frac{1}{3} x+b[/tex]
Find the y-intercept (b) by using a point and substituting their x and y values
[tex]y=\frac{1}{3} x+b[/tex]
Point: (3, 7)
[tex]7=\frac{1}{3} (3)+b[/tex]
[tex]7=1+b[/tex]
[tex]b=7-1[/tex]
[tex]b=6[/tex]
Step 3. Write the equation in Slope-intercept form
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{3} x+6[/tex]
Multiply -7/-6 x 7 x 1/3 write in simplest form
Step-by-step explanation:
Multiply -7/-6 x 7 x 1/3 write in simplest form
The cost of petrol is 60 rupees per litre a petrol bunk sells 750
litre s of petrol one day. how much money do they get At The end of the day
Answer:
45000rupees
Step-by-step explanation:
cost of 1 litre of petrol=60rupees
cost of 750 litres of petrol=750×60rupees
=45000rupees
round 6.7 to the nearest whole number.
Answer:
7[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Add -13 + 5. 8 -8 -18 18
[tex](-1)^{2} + 2^{3} -0^{4}[/tex]
Answer:
9Step-by-step explanation:
[tex](-1)^{2} + 2^{3} -0^{4}[/tex]
[tex] = 1 + 8 - 0[/tex]
= 9 (Ans)
Please give the code :/
Step-by-step explanation:
1. m = (9-3)/(2-1) = 6/1 = 6 => B
2. m = (-7-5)/(2+1) = -12/3 = -4 => G
3. the horizontal line passes (0,4) => m = 0 =>I
4. m = (2-1)/(8-8) = 1/0 = oo => undefined => A
if 5-3(2a+1)=-4a+10, what is the value of a+2
Answer:
-2
BRAINLIEST, PLEASE!
Step-by-step explanation:
5 - 3(2a + 1) = -4a + 10
5 - 6a - 3 = -4a + 10
2 - 6a = -4a + 10
-2a = 8
a = -4
-4 + 2 = -2
Answer:
a+2 = -4+2 = -2
Step-by-step explanation:
5-3(2a+1)=-4a+10
Distribute
5 - 6a -3 = -4a +10
Combine like terms
-6a +2 = -4a +10
Add 6a to each side
-6a+2 +6a = -4a+6a +10
2 = 2a+10
Subtract 10 from each side
2-10 =2a+10-10
-8 = 2a
Divide by 2
-8/2 =2a/2
-4=a
Find the equation of the line that is parallel to y = 4 - 3x and passes through the
point (1,5).
Answer:
[tex]y=-3x+8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope1) Determine the slope (m)
[tex]y = 4 - 3x\\y = -3x+4[/tex]
Given this equation, we can identify the slope to be -3 since it's in the place of m in [tex]y=mx+b[/tex].
Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-3x+b[/tex]
Plug in the given point (1,5) and solve for b:
[tex]5=-3(1)+b\\5=-3+b\\8=b[/tex]
Therefore, the y-intercept is 8. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x+8[/tex]
I hope this helps!
Maria has four hours of free time each day. She can spend it studying or working at the Wang's Chinese
Kitchen for $6.50 per hour. Curve A illustrates the trade-off between school grades and the wages Maria
could eam.
What are the maximum wages Maria could eam if she works five days a week?
b. What grades can she expect if she works 10 hours each week?
What advice would you give Maria if she were eaming $50 each week and making Ds?
a
c.
Opportunity cost is the cost of the alternative forgone;
The cost of Maria spending more time on her studies is the wages from working in the kitchen which she does not earn and vice versa
The correct values are as follows:
a. The maximum wages Maria could earn is $130
b. The grades she can expect if she works 10 hours each week is grade C
c. She should make a decision to either quit school or quit her job
d. To become a pharmacists, she should study more and quit her job
To become a restaurant owner/manager, she should develop her restaurant/managerial skills more at the
The reason for the above responses are as follows:
The known parameters are:
The number of hours of free time Maria has each day = 4 hours
The activities Maria can use the four hours for = Studying or working at the Wang's Chinese kitchen
The amount she can earn per hour working = $6.50 per hour
Question a. Required;
The maximum wages Maria could earn working 5 days a week
Solution;
Taking the each unit on the horizontal axis of the attached graph as one day. There are 5 units which equal 5 days
if she works for the five days, she spends all the available time working and she earns maximum wage on the graph which is $130The maximum wages Maria could earn if she works five days a week = $130
b. Required:
The grade she can expect by working 10 hours a week
Solution:
The number of hours available each week = 5 × 4 hours = 20 hours
If she works 10 hours each week, she spends the remaining 10 hours studying which is half of her available time
The grades she can expect by working 10 hours each week (half of her spare time) is giving by the value of the graph at the middle of the of half the length of the horizontal axis values which is grade C
c. Required:
The advice for Maria if she is earning $50 each week and is making Ds
Solution:
If Maria is earning $50 each week, the number of days she is working = One day
The number of days she spends reading = 4 days
In order to improve her grades, she should increase the number of days she spends reading, and therefore, she should spend more than 4 days or the 5 days reading and she should stop working and forgo the $50 for a grade C
Therefore;
Maria has to make a decision to either quit school or quit her job
d. Part of the question that can be included as seen from a similar question online is as follows;
The advice for her if she is interested in becoming a pharmacists or a restaurant owner/manager
If she is interested in becoming a pharmacist, she should stop working and focus on her studies; Quit her job
If she interested in becoming a restaurant owner or manager, she should spend less time reading and spend much of her time at the Wang's Chinese kitchen to develop are restaurant business skills;
Learn more about the production possibility curve here:
here;https://brainly.com/question/15520789
Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A = MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.
Answer:
Step-by-step explanation:
M=189
N = 48
A = M*N
A = 189 * 48
A = 9072
58 round of to the nearest 10
Answer:
58 to the nearest ten is = 60
Answer:
Here is your answer ⤵️
58 rounded to the nearest tens is 60.
Please help and please give explanation
Answer: -5 i guess i might b wrong i dont know -5
Step-by-step explanation:
Which statement compares the two numbers correctly?
0.799 ________ 0.8 I need help thanks if you will ill give you 70 points but you have to help me before 4:00 thanks soo much if you do
Answer:
the statements are missing can you post them please
Answer:
C. 0.799 < 0.8Step-by-step explanation:
0.799 ________ 0.8
Choices:
0.799 > 0.8 0.799 = 0.8 0.799 < 0.8 0.8 < 0.799Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.
We know 799 < 800, so apply the same here to get:
0.799 < 0.8Correct choice is C
Given the form of the equation 3x + 2y = 3 and x – 3y = -10. Then determine the result of 3x - y !
Answer:
-6
Explanation:
x= -1 and y=3
3x- y
=> 3(-1)-3 = -3-3= -6
Answer:
3x – y = -6
Step-by-step explanation:
To solve on the problem above, you can do it by substitution and elimination of the two equations.
3x + 2y = 3
➡️ 3x + 2.3 = 3
➡️ 3x + 6 = 3
➡️ 3x = -3
➡️ x = -1
➡️ 3x – y = 3(-1) – 3
➡️ = -3 – 3 = -6 ✅
Please help!
Find the value of x for which ABCD must be a parallelogram.
Answer:
x=5
Step-by-step explanation:
5x-8=2x+7
5x-2x=7+8
3x=15
X=15/3
x=5
Answer:
5
Step-by-step explanation:
cause
angle c and angle a are alternate angle and alternate angle are always equal so 5X-8=2x+7
5x-2x=7+8
3x=15
or x=5
Answer this question please
9514 1404 393
Answer:
A. 500 cm²
Step-by-step explanation:
The height of the piece of cardboard is the same as the height of the prism: 20 cm.
The width of the piece of cardboard is the sum of the side lengths of the prism: 7 cm + 9 cm + 9 cm = 25 cm.
The area of the cardboard is the product of its height and width.
A = HW
A = (20 cm)(25 cm) = 500 cm²
What is the relationship between the 6s in 675,002 and 385,621?
Answer:
6647 is a whole. For you to know the relationship between the 6s in this number write their values. The value of the first 6 is 6000. The value of the second 6 is 600.
PLZ HELP WITH BOTHHHHH
Answer:
(5,2)
(6,-6)
Step-by-step explanation:
Roast beef has 25 g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcium. Set up and solve a system to show how many servings of each are needed to supply exactly 29g of protein and 61 g of calcium.
Step-by-step explanation:
your answer
mark me a brainlistLa chispa de un relámpago artificial de 10.0 MV libera una energia de 0.125 MW .s ¿Cuántos coulombs de
carga fluyen?
Answer:
nzbzbzZnzbznzbzbzhzhsbsjs
5.4 - (9.5 - 8) - 2.5
(pls help and explain pls)
Answer:1.4
Step-by-step explanation:
Find the value of x.
Answer:
x=60
Step-by-step explanation:
x=180-120
Find the arc length of the partial circle. Either enter an exact answer in terms of π or use 3.14 πpi and enter your answer as a decimal
Answer:
C (circumference) = 2 pi R for circle
A (arc length) = R * theta = pi R = pi * 9 = 28.27
Which of the following expressions is equivalent to the expression below?please help me
Answer: 14x+6
Step-by-step explanation:
by using distribution from the ”2” outside the parenthesis, you simply do
2x7= 14 (add the variable x) so 14x
then you do 2x3= 6
URGENT HELP NEEDED
Solve for x.
3x - 29/5= -4
Answer:
[tex]3x - \frac{29}{5} = - 4 \\ 3x = - 4 + \frac{29}{5} \\ 3x = \frac{ - 20 + 29}{5} \\ \\ 3x = \frac{9}{5} \\ x = \frac{9}{5} \div 3 \\ x = \frac{9}{5} \times \frac{1}{3} \\ x = \frac{3}{5} [/tex]
I hope I helped you^_^
What is the surface area of the rectangular prism formed from this net?
O A. 10.5 in.2
B. 16 in.2
C. 16.5 in.2
Ο Ο Ο
OD. 18 in.2
E 32.5 in.2
6. If there are 60 studensts in a class, 20 students are absent. Then, find the percentage of absent students.
Answer:
60:20
100:?x
60×x=100×20
=33.333 %
The Runwell Company has 8 employees. Five of
the employees earn $12 an hour, two earn $9 an
hour and 1 earns $11 an hour. What is the average
amount per hour that the employees are paid?
Answer:
41
Step-by-step explanation:
i think i dont know that much
