The graph of f(x) = x2 − 3x − 28 is shown. Which of the following describes all solutions for f(x)?
a parabola passing through negative 4 comma zero, zero comma negative 28, and 7 comma zero
(−4, 0), (0, −28), (7, 0)
(−4, 0), (−1, −24), (0, −28), (3, −28), (7, 0)
(x, x2 − 3x − 28) for all real numbers
(x, y) for all real numbers
Answers
Answer:
C. (x, x2 − 3x − 28) for all real numbers
Function graphs are graphs of solution equations for y! In this instance, f(x) = x² -3x -28 is the graph.
Constructing a Function Graph:⇒f(x) = x² − 3x − 28
A group of all points in the plane of the form (x, f(x)) constitutes the diagram of a function f. The graph of f can also be defined as the graph of an equation y = f(x). As a corollary, a function's graph is a subset of an equation's graph.
Solving equation:
⇒f(x) = x² − 3x − 28
⇒f(x) = x² − (7−4)x − 28
⇒f(x) = x² − 7x+4x − 28
⇒f(x) = x(x −7) +4(x −7)
⇒f(x) = (x −7) (x+4)
Please find the attached file.
Find out more about the graph function here:
brainly.com/question/15165011
Related Questions
Help please! I will mark you Brainliest if your answer is correct
Answers
Answer:
17. x=11 18. x=18
Step-by-step explanation:
For 17, 14x-25=129, add 25 to 129 to get 154, then divide 154 by 14x to get x=11. The conditional for 17. would be "If J║K then alternate interior angles are congruent.
For 18. 2x-8+9x-10=180, combine like terms to get 11x - 18 =180, add 18 to 180 to get 198 than divide 198 by 11x and get x = 18. Converse statement would be, "If J║K then consecutive interior angles are supplementary.
carpet to cover a floor area 15m2 costs £110. how much would you expect to pay for a similar carpet measuring 5m by 4.2m?
Answers
Answer:
£ 153.93 = £154
Step-by-step explanation:
area 1 = 15 m^2
cost= £110
cost per meter =£7.33 m^2
------------
area= 1 x b= 5 x 4.2= 21 m^2
Cost = 21 x £7.33=£ 153.93 ~ £154
Write the quadratic equation where the roots are -1/3 and 5
Answers
Answer:
f(x) = 3x² - 14x - 5
Step-by-step explanation:
multiply the factors: (x + 1/3)(x - 5)
x² - 5x + 1/3x - 5/3
x² -14/3x - 5/3
multiply by 3 to eliminate fractions:
3x² - 14x - 5
r
3. Identify the vertical intercept of the graph. What does
it tell you about the situation?
Answers
Answer:
Vertical intercept of a graph
The vertical intercept is the point where the graph of a line crosses the vertical axis. The vertical intercept of this line is or just -6.
Step-by-step explanation:
btw so hard question mate, enjoy the answer
I need help with this last question.
A tent has the shape of a triangular prism. Its volume is 25 m cube.
Find one possible whole-number dimension of the prism.
Calculate the surface area of the prism.
Answers
Answer:
Step-by-step explanation:
length=1 m
base of triangle=10 m
height=5m
volume= 1/2×10×5×1=25 m cube.
slant height l=√(5²+5²)=√50=5√2
slant surface area=2[5√2×1]=10√2
area of front and back=2×1/2(10×5)=50
total surface area=50+10√2≈50+14.14≈64.14 m²
how is the orientation of and image affected by translation
Answers
Answer:
is this helping?
Step-by-step explanation:
it helps show the words better
sorry if wrong or late qwq
your amazing
8.4x-5=20.2 solve for x
Answers
Answer:
x=3
Step-by-step explanation:
solve the equation:
1) у – 2 = — 4
Answers
Answer:
Y=-2
Step-by-step explanation:
Hope that helps you
Answer:
y=-2
Step-by-step explanation:
first, you have to leave y alone so you have to add 2 on both sides to delete -2
y-2+2=-4+2
now -2+2=0 so that's gone and -4+2 is -2
Now you have the answer UvU
y=-2
Don has an album that holds 900 coins . Each page of the album holds 9 coins . If 78% of the album is empty, how many pages are filled with ?
Answers
Answer: 22% of the pages are filled up
Step-by-step explanation: 900/9= 100 78% of 100 is 78
22+78=100 therefore reaching 100 percent. since 78% is empty that means 22% is being used.
is this a corresponding angle, alternate exterior angle, vertical angle, a supplementary angle, or a linear pair?
Answers
Answer:
Vertical angles
Step-by-step explanation:
∠[tex]5[/tex] and ∠[tex]7[/tex] are formed by the same lines and are "opposite" to each other, so they are vertical angles by definition. Hope this helps!
Help help help help help
Answers
Answer:
I believe it's 240°
Step-by-step explanation:
It's been awhile since I've done this but I believe that's the answer, here's a picture of a pug. Smile and have a good day!
Can you please help me????
Answers
Answer:
see explanation
Step-by-step explanation:
4G - 6H
= 4[tex]\left[\begin{array}{ccc}1&-7\\7&6\\\end{array}\right][/tex] - 6[tex]\left[\begin{array}{ccc}1&1\\-3&7\\\end{array}\right][/tex] ← multiply each component by the scalar
= [tex]\left[\begin{array}{ccc}4&-28\\28&24\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}6&6\\-18&42\\\end{array}\right][/tex] ← subtract corresponding components
= [tex]\left[\begin{array}{ccc}4-6&-28-6\\28-(-18)&24-42\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-2&-34\\46&-18\\\end{array}\right][/tex]
Jerry is building a dog kennel for his new puppy to play in while he is at work. It will be square made out of wire mesh with 9 foot sides. How many yards of wire mesh does Jerry need to purchase?
Answers
Answer:
I think 12yards
Where will Jack and Nolan meet
Answers
When a ribbon is cut into 3 equal pieces,each piece is _______ m long (correct to 2 decimal places).
Answers
Answer:
How long was the ribbon before it was cut?
Step-by-step explanation:
30.1593 rounded to the nearest hundredth NOW PLEASE
Answers
Answer:
30.16
Step-by-step explanation:
What is the area of the figure below?
Answers
Subtract.
7/9−1/4
Enter your answer in simplest form
Answers
Answer:
0.5277
Step-by-step explanation:
Answer:
Step-by-step explanation:
7/9 -1/4
we need to make the fraction even bases
7x4=28 9x4=36 1x9= -9 4x9=36
28/36 -9/36
28-9=19
19/36
Which number line shows the graph of x2 11?
+
7
6
8
9
10
11
12 13 14
+
7
6
00
9
10
11 12 13 14
O
6
7
9
10 11
12 13 14
O
6 7 8
9
10 11
12 13 14
Answers
PLSS HELPPPPPPP IMMA FAIL
Answers
Answer:
it should 3
Step-by-step explanation:
You guessed 141 envelopes, but there were actually 150 envelopes.
NEED ANSWER ASAP
Answers
Answer:
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
I don't really know what your asking here but there we're 9 other envelopes
please help me I have no idea what in doing
Answers
3x-5y=-9 -4x+6y=10. con método de igualacion porfa
Answers
Answer:
x=2,y=3 (2,3)
Step-by-step explanation:
substitution method?
[tex]x=\frac{5y-9}{3} \\[/tex]
[tex]-\frac{4(5y-9)}{3} + 6y=10[/tex]
simplify
(2,3)
Ms Singh wants to buy a new television that costs £840
Each week, Ms Singh receives a wage of £300
She saves 40% of her wage each week.
Calculate how many weeks it will take Ms Singh to save enough money to
buy the television.
weeks
Some student
Answers
Cost of a television Ms. Singh wants to buy = £840
Ms. Singh's weekly wage = £300
Money she saves each week :
= 40% of her weekly wage
[tex] =\tt 40\% \: of \: 300[/tex]
[tex] = \tt \frac{40}{100} \times 300 [/tex]
[tex] =\tt \frac{40 \times 300}{100} [/tex]
[tex] =\tt \frac{12000}{100} [/tex]
[tex]\color{plum} = \tt£120[/tex]
Thus, Ms. Singh's weekly savings = £120
Number of weeks in which she will be able to buy a TV :
[tex] = \tt \frac{840}{120} [/tex]
[tex]\color{plum} =\tt 7 \: weeks[/tex]
Therefore, Ms. Singh will be able to buy a TV from her savings in 7 weeks.
Yuki concluded:
"It's not possible to map AABC onto AFED using a sequence of rigid transformations, so the triangles
are not congruent."
What error did Yuki make in her conclusion?
Answers
Answer:
One more transformation — a rotation — would map △ABC onto △FED So the triangles are congruent.
Step-by-step explanation:
Yup
I need help mate.
You have $75 and need to buy 9 books at the bookstore and each book costs d dollars.
Write an algebraic expression to represent the amount of money left over.
Answers
Answer:
75-9d
Step-by-step explanation:
Hello,
The Answer to the question is 75-9d let me explain why,
you are asking, how much money is leftover. For me to get that I need to know that for every book it cost "d" dollars.
You know you have $75, and you need 9 books, we don't know how much they cost but we don't really need to.
75 - 9d
75 is the total. You need to subtract it by how many books your buying, 9.
The books are d amount of dollars, so we put 9d so that we know that for every 1 book it cost d amount so technically 9 is the amount of books times d, how much 1 book costs
Hope you can understand, I was having some trouble finding a way to explain it so my bad.
Also, I haven't done that in a while so sorry if I'm wrong
-Nova
help me plzzz plzzz help me
Answers
Answer:
sepa pero suerte no hablo ingles
Put these numbers in order, smallest to largest.
0.77
0.777
0.707
0.077
0.7
0.077
Answers
Answer:
0.077 < 0.7 < 0.707 < 0.77 < 0.777
Avery's mother wants to order large pizzas for Avery's birthday party. Each pizza will be cut into 8 slices. She needs enough pizza for 18 children and 5 adults. She wants each person to have 4 slices. How many pizzas does she need to order?
Answers
Answer:
She would need to order 11.5 pizzas. But of course she wouldn't order 11.5 so she'll just round up and order 12 pizzas.
Step-by-step explanation:
Take 4 pieces of pizza for each person and multiply that by how many people there are in this case 23. The answer would be 92 pieces of pizza would be needed to feed all of the 23 people. So you take 92 and divide it by 4 because each person gets 4 slices and the answer you get is 11.5. If the question is a multiple choice and it gives you the option of 11.5 then that's the answer but if its a fill in then round up to 12 pizzas because if not there will not be enough pizza for everyone.
Hope this helped! :)
Help please!! Solve for y.
Answers
Answer:
y = 3[tex]\sqrt{7}[/tex]
Step-by-step explanation:
The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is
[tex]\frac{y}{9}[/tex] = [tex]\frac{7}{y}[/tex] ( cross- multiply )
y² = 63 ( take the square root of both sides )
y = [tex]\sqrt{63}[/tex] = 3[tex]\sqrt{7}[/tex]
