Solve these
[tex] {x}^{2} - 5x + 6[/tex]
[tex] {x}^{2} - 11x + 28[/tex]
Answers
Answer:
hope this will help you more
![Solve These[tex] {x}^{2} - 5x + 6[/tex][tex] {x}^{2} - 11x + 28[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/E73XQKaioOvLIjdLdhbBuM3JLfsGqKZk.jpeg)
Answer:
[tex]x^2-5x+6[/tex]
x = 3, x = 2
[tex]x^2-11x+28[/tex]
x = 7, x = 4
Step-by-step explanation:
One is asked to solve two quadratic equations. Both of these quadratic equations are in standard form. This means that the two equations follow the following general format;
[tex]ax^2+bx+c[/tex]
The quadratic formula is a method of solving a quadratic equation using the coefficients of the terms in the equation. The quadratic equation is the following,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Substitute in each of the terms and solve for the roots in each equation;
[tex]x^2-5x+6[/tex]
Substitute, and solve
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(6)}}{2(1)}\\\\=\frac{5(+-)\sqrt{25-25}}{2}[/tex]
[tex]=\frac{5+1}{2}[/tex] [tex]=\frac{5-1}{2}[/tex]
[tex]=3[/tex] [tex]=2[/tex]
[tex]x^2-11x+28[/tex]
Substitute, and solve
[tex]\frac{-(-11)(+-)\sqrt{(-11)^2-4(1)(28)}}{2(1)}\\=\frac{11(+-)\sqrt{121-112}}{2}[/tex]
[tex]=\frac{11+\sqrt{9}}{2}[/tex] [tex]=\frac{11-\sqrt{9}}{2}[/tex]
[tex]=\frac{11+3}{2}[/tex] [tex]=\frac{11-3}{2}[/tex]
[tex]=7[/tex] [tex]=4[/tex]
Related Questions
Parallelogram ABCD is adjacent to rhombus DEFG, as shown below, and FC intersects AD at H.
B
D
H
E
If m Z B=118 and m2 AHC=138, determine and state m GFH.
Answers
Answer:16,284
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:
x=57°
Step-by-step explanation:
the sum of the measures of the angles of a triangle add up to 180°.
it is given that there is a 33°, and a right angle which is 90°.
to find x:
x=180°-(90°+33°)
x=180°-123°
x=57°
Answer:
180° - 33° - 90° = 57°
x = 57°
For the function Rx) = 1/x+1 which of these could be a value of F(x) when x is
close to -1
O A. -0.01
OB. 0.01
O c. 1
O D. -10,000
Answers
Answer:
D. -10000
Step-by-step explanation:
you really need to copy or type the question better.
I can only assume what you really mean.
I guess, you want to say that F(x) = 1/(x+1)
when the value for x gets close to -1, the whole expression gets close to 1/0, which would bring numbers with larger and larger absolute values, leading to infinity.
you also did not say from what direction we are getting closer to -1.
we could come from -2 and move closer and closer to -1.
in this case (x+1) would always be smaller than 0 (negative sign).
or we could come from +1 and then 0 and move towards -1, in which case (x+1) would airways be bigger than 0 (positive sign).
anyway, when being closer and closer to -1, the absolute value of the resulting functional values will get bigger and bigger.
the only answer option with a larger absolute value is D (-10000).
so, that had to be the solution, and it also means that we are coming from -2 to -1, and the sign is negative.
D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is:
Answers
9514 1404 393
Answer:
9
Step-by-step explanation:
The triangles are similar, so corresponding sides are proportional.
AE/AD = EC/DB
(x+3)/(x -1) = x/(x -3)
x^2 -9 = x^2 -x . . . . . . . cross multiply
x = 9 . . . . . . . . . . . add x+9-x^2 to both sides
a telephone pole is 24 feet tall
Answers
Answer:i honestly dont know just trying to get points
Step-by-step explanation:
A purse regularly priced at $70 is on sale for 20% off. What is the scale price of the purse?
Answers
Solve 2 ≤ 2x + 4 < 10 for x.
–1 ≤ x < 3
1 < x < 3
–1 < x < 3
1 ≤ x < 3
Answers
Answer:
-1 ≤ x < 3
Step-by-step explanation:
2 ≤ 2x + 4 < 10
Subtract 4 from all sides
2-4 ≤ 2x + 4-4 < 10-4
-2 ≤ 2x < 6
Divide all sides by 2
-2/2 ≤ 2x/2 < 6/2
-1 ≤ x < 3
which of the following is a geometric sequence?
Answers
Answer:
D
Step-by-step explanation:
notice how everything goes up by 3? that's a sequence.
What is the slope and y intercept of the equation?
y=1/2x
m=
b=
Answers
⊹˚ʚ ❑Answer︰slope is 1/2 and y-int. is 0
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
Financial software can do all of the following except ____.
A.
prepare your taxes
B.
apply for loans
C.
keep track of expenses
D.
monitor your savings
Answers
Answer: Apply for loans
Step-by-step explanation:
I just took the quiz off gradpoint :) trust me its right!!!!
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1 /9 . There are 63 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
Answers
Answer: 7 red marbles.
Step-by-step explanation:
Since we are given the information that there are only red marbles and blue marbles in the bag and that the probability of randomly choosing a red marble is 1 /9 while there are 63 marbles in total.
Then the number of red marbles will be:
= 1/9 × 63
= 7
There are 7 red marbles
The number if blue marbles will be:
= 63 - 7
= 56 blue marbles
Direction: Fill the missing terms. Write your answer on the space provided.1. .An _______ is a data collection method where you as a researcher change somevariables and observe their effect on other variables.2. A __________ is a data collection method where you select a sample of respondentsfrom a large population in order to gather information about that population.3. __________, when you use this method, you meet with the respondents face to faceand ask questions.4. In an __________ method, the data from the field is gathered with the help ofobservation by the observer.5. ___________ is sent ( by post or by mail) to the persons concerned with a requestto answer the questions and return the questionnaire.6. ___________.It is a process by which the researcher collects/gathers theinformation needed to answer the research problem.7. __________ It is very similar to the questionnaire method. The main differenceis that the schedule is filed by the enumerator who is specifically appointed for thepurpose.8. __________ One who goes to the respondents, asks them the questions from thequestionnaire in the order listed, and records the responses in the space provided.9. __________are those which have already been gathered by someone else andwhich have through some statistical analysis.10. . ___________ are those which are gathered for the first time and are original incharacter.
Answers
Answer:
An experiment is a data collection method where you as a researcher change somevariables and observe their effect on other variables.A surveys is a data collection method where you select a sample of respondentsfrom a large population in order to gather information about that population.☞☜ ☞☜ ☞☜ Data collection It is a process by which the researcher collects/gathers theinformation needed to answer the research problem.☞☜ ☞☜ Secondary data are those which have already been gathered by someone else andwhich have through some statistical analysis.Primary data are those which are gathered for the first time and are original incharacter.Step-by-step explanation:
lm.ao I don't know 3,4,5,7,8 I'm sincerely apologise for this!!
•| jess bregoli |•#keep learning!!
Answer:
Here is your Answer : )
Step-by-step explanation:
1. experiment
2. survey
3. Interview
4. observation
5. questionnaire
6. Data collection
7. Schedule
8. Manager
9. primary data
10. Primary data
Plz mark as brainiest this took long time
Hope U like it : )
I will pay for the answer.
Answers
Answer:
D
8x^2-12x+5
thanx for youer sug
Answer:
[tex]8x^2-12x+5[/tex]
Step-by-step explanation:
This is the same as saying h(g(x)). All you do is take the g(x) equation and plug that in for x in the h(x) equation.
h(x) = 4x+1 Plug in g(x) equation for x
h(g(x)) = [tex]4(2x^2-3x+1)+1[/tex] Distribute the 4 and simplify
h(g(x)) = [tex]8x^2-12x+5[/tex]
Simplify (12^0)(12^6). Write your answer using an exponent. Explain how you found your answer.
Answers
Step-by-step explanation:
(12^0)(12^6)
1 ×12⁶. (a⁰=1, a is a number)
=12⁶
Math help please due today ill give you brainlist if correct !!!
Answers
Answer:
a. Vertical
b. Corresponding
c. Alternate exterior
d. Supplementary
e. 40 degrees
f. 40 degrees
Table
45 45 135
20 70 160
87 3 93
Step-by-step explanation:
a. Vertical angles are congruent and opposite each other.
b. Corresponding angles are congruent and are located in similar positions.
c. Alternate exterior angles are congruent and opposite each other when a line intersects two parallel lines.
d. Supplementary angles are next to each other and add to 180 degrees.
e. Supplementary angles. Subtract 140 from 180 to find <M.
f. Alternate interior angles. <X and <M are congruent.
Table
Complementary angles add to 90 degrees. Supplementary angles add to 180 degrees.
45 + 45 = 90
45 + 135 = 180
etc.
How many eighths does it take to equal 1/4 model
Answers
Answer:
2 eighths.
Step-by-step explanation:
Answer:
2 eighths
Step-by-step explanation:
1/8 + 1/8 = 2/8 or 1/4
Which of the following are necessary
Answers
Step-by-step explanation:
B) opposite sides are congruent !!!!!!
Find mZSGH if mZFGH = 108°
Answers
Answer:
22
Step-by-step explanation:
FGH - FGS = SGH
108 - 86 = 22
Answer:
∠ SGH = 22°
Step-by-step explanation:
∠ FGS + ∠ SGH = ∠ FGH , that is
86° + ∠ SGH = 108° ( subtract 86° from both sides )
∠ SGH = 22°
can someone help me I don't understand
Answers
Answer:
(a) 165 m/min
(b) 107.14m/min
Step-by-step explanation:
The slope of the distance time graph gives speed.
Here, the speed of the segment A is
[tex]v_A= \frac{900-0}{4-0}=225 m/min[/tex]
The speed of segment B is
[tex]v_B= \frac{1500- 900}{14-4}= 60 m/min[/tex]
(a) The change in speed is
= 225 - 60 = 165 m/min
(b) The average speed is defined as the ratio of total distance to the total time.
So, the average speed is
[tex]= \frac{1500}{14}= 107.14 m/min[/tex]
If you put 700 into a savings account that's earns 1% interest compound monthly how much will you have in 5 years
Answers
Answer:
In 5 years I will have $ 1,151.71.
Step-by-step explanation:
To determine, if I put 700 into a savings account that's earns 1% interest compound monthly, how much will I have in 5 years, the following calculation must be performed:
700 x (1 + 0.01 / 12) ^ 12x5 = X
700 x (1 + 0.008333) ^ 60 = X
700 x 1.64530 = X
1,151.71 = X
Therefore, in 5 years I will have $ 1,151.71.
A bicycle has a cash price of $319.95. It can be bought on hire purchase with a deposit of $69 and ten monthly installments of $28.50 each.
a. what is the total hire purchase price of the bicycle?
b. Find the difference between the hire purchase price and the cost price of the bicycle.
Answers
Answer:
a. $354
b.$34.05p
Step-by-step explanation:
10 monthly instalments
10x28.5=280
plus the deposit 280+69=354
The difference between 354 and 319.95 is 34.05
a. The total hire purchase price of the bicycle is $354.
b. The difference between the hire purchase price and the cost price of the bicycle is $34.05.
a. Total hire purchase price:Total hire purchase price=(10 months×$28.5)+$69
Total hire purchase price=$285+$69
Total hire purchase price=$354
b. Hire purchase price and cost price:Difference=$354-$319.95
Difference=$34.05
Inconclusion the total hire purchase price of the bicycle is $354 and the difference between the hire purchase price and the cost price of the bicycle is $34.05.
Learn more about hire purchase price here:https://brainly.com/question/24730392
Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabytes of data, but 58 gigabytes are already taken up by other files. Each movie is 8 gigabytes. Elena wrote the inequality 8x + 58 ≥ 500 and solved it to find the solution x ≥ 55.25.
1.Explain how you know Elena made a mistake based on her solution.
2.Fix Elena’s inequality and explain what each part of the inequality means.
Answers
Answer:
x is 69.75
Step-by-step explanation:
8x+58>500
500-58
8x/8>558/8
x>
Carl starts to use the standard algorithm to solve 2,375 × 6. His work is shown below.
What number should Carl replace y with?
Answers
y=2
Please help I’ll give brainliest
Answers
Answer:
The rules for standard form are
Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)
I hope this helps
Answer:
False
Step-by-step explanation:
Please Mark me brainliest
The weight of three articles is 856 kg. If two of the articles weigh 502kg, what is 1/2 the weight of the third article?
Answers
Answer:
177 kg
Step-by-step explanation:
Find the weight of the third article by finding the difference between 502 and 856, since 856 kg is the total weight and 502 kg is the weight of the other 2 articles:
856 - 502
= 354
Now, find 1/2 of the weight, by dividing this by 2:
354/2
= 177
So, 1/2 the weight of the third article is 177 kg
Which of the following is a quadratic function?
Answers
Answer:
A
Step-by-step explanation:
A
when multiplied out
the highest exponent of x is 2
y = 2x² + x - 6
Answer:
option A
Step-by-step explanation:
A quadratic equation is a single variable polynomial of degree 2.
[tex]A ) y = ( x + 2)(2x-3) = 2x^2 -3x +4x - 6 =2x^2 + x - 6 \ - Yes \\\\B) y = 3(x - 4) \ - No\\\\C) y = \frac{1}{x^2} \ - No\\\\D) y = x(x-4)(x+3) = x(x^2 -x - 12) = x^3 -x^2 - 12x \ - No[/tex]
Find y.
Round to the nearest tenth:
31°
у
х
400 ft
y = [ ? ]ft
Answers
Make 'r' the subject of this formula: 3r - 5 = p
Answers
Answer:
hey I am not about what the question says but I think this is the answer:
3r=p+5
so the subject is 3r
3r = p + 5
r = p + 5/3
If b=3-2s and A= -2s^2+2s+3 find an expression that equals 2b+2A in standard form
Answers
I think this might be the answer you’re looking for so best of wishes and good luck!!
someone plz help me!!
Answers
Answer:
P'=(0,3)
Step-by-step explanation:
P'=(-5+5, 7-4)
