Consider the graph y = 2x2 + 7x + 6.

a) The graph of this equation is called a parabola. Does this parabola open
upward or downward? How do you know?

b) What is the y-intercept? How do you know?

c) Find the x-intercepts. Show relevant process.

Consider The Graph Y = 2x2 + 7x + 6.a) The Graph Of This Equation Is Called A Parabola. Does This Parabola

Answers

Answer 1

Answer:

a) Parabola opens up

b) 6

c) -3/2 and -2

Step-by-step explanation:

a) The general form of a parabolic graph is;

y = ax^2 + bx + c

if a is positive, it faces up, if negative, it opens down

Since a = 2 here, it is positive and thus the parabola faces or opens up

b) The y-intercept is simply the c term

the value here is 6

The y intercept is obtained when the x value is zero

So by simply setting the x value to zero, we can easily get the y value since x is zero at that point

c) The x-intercepts refer to the roots of the equation

By solving the quadratic equation i.e substituting 0 for y, we can get the two x values as follows;

2x^2 + 7x + 6 = 0

2x^2 + 4x + 3x + 6 = 0

2x(x + 2) + 3(x + 2) = 0

(2x + 3)(x + 2) = 0

2x + 3 = 0 or x + 2 = 0

2x = -3 or x = -2

x = -3/2 or x = -2


Related Questions

GIVING BRAINIEST IF CORRECT!!
Find the area of the shaded region.

Answers

Area of Shaded triangle as a whole: 136cm^2
Area of Rectangle 1 : 20cm^2
Area of Rectangle 2 : 6cm ^ 2

Area of the shaded region :
136 - (20+6)
136 - (26)
110 cm^2

Answer:

110 cm²

Step-by-step explanation:

17 · 8

136 cm²

4 · 1.5

6 cm²

5 · 4

20 cm²

20 cm² + 6 cm²

26 cm²

136 cm² - 26 cm²

110 cm²

An amusement park's owners are considering extending the weeks of the year that it is opened. The owners would like to survey 100 randomly selected families to see whether an extended season would be of interest to those that may visit the amusement park. What is the best way to randomly choose these 100 families

Answers

This is the Step-by-step explanation:

Allow a random number generator to come up with 100 families within a 50 radius of the amusement park.

A random number selector can be used to select 100 families out of the total number of families living within a 50 mile radius of the amusement park.

What is random sampling?

Random sampling refers to the process of randomly selecting a set of samples from a population in random manner without bias.

The ransom sampling of the families in the survey can best be done by numbering all the families within a 50 mile radius of the amusement park. A random number selector can then be used to select 100 families out if the total.

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if you find treasure buried in your yard what do you hope it contains ​

Answers

Either belongings / memories from my ancestors Or cash as i am in a tough spot currently.

how to find area and circunferencr of a circle ​

Answers

Answer:

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).

Step-by-step explanation:

np (: pls mark brainleist

hello please help i’ll give brainliest

Answers

Explanation:

4. 81

5. 11

6. 9

Find the Value of X. Thanks.

Answers

Answer:

x = 90

Step-by-step explanation:

This will add up to 360 degrees in total

90 + 90 + 90 + 90 = 360 therefore x = 90 Hope that helps!

50.26 to nearest hundredth

Answers

Answer:

it's already in the hundredths place

Step-by-step explanation:

.1 <- tens place

.01<- hundredths place

.001<-thousands place

find the value of x pls help me

Answers

Answer: 46°

Please ignore this, I do not have enough characters to share this answer unless I put a bunch of random stuff.

Ty has a $30 gift card. He already bought a $9 book, and wants to buy $3
journals. How many journals can she buy without going over the card's
limit?

Answers

Answer:

ty can buy 7 journals

Step-by-step explanation:

Answer:

7 Journals

Step-by-step explanation:

$30-$9=$21

$21/$3=7

what is the equation of the line that is parallel to 2x = 1 - 3y and passes through (9,4),

A y= -2/3x+10
B y= 2/3x-2
C y=-3/2x+17/2
D y=3/2x-1/2

Answers

Answer:

A y= -2/3x+10

Step-by-step explanation:

___________

Answer:

A. y=-2/3x+10

Step-by-step explanation:

...........

A college entrance exam has a mean of 500. A small liberal arts college has two years of applications, each with 100 prospective students. The college conducts hypothesis tests to determine whether its applicants are significantly better than the general population of applicants. The first year of applicants has a mean of 510, whereas the second year of applicants has a mean of 505. Which sample will produce the largest probability value

Answers

Answer:

cjxbdjd xkdnkdkdns xkdnskzkns xkdnd d d d d d d d. d d dd d d d d. d d d d d d d d d d dd. d d

How do you Solve the equation 0.4(2x+12) = 3(0.2x -2) -4 *

Answers

Answer:

x=16

Step-by-step explanation:

   0.4(2x+12) = 3(0.2x -2) -4

[tex]Or,0.8x+4.8=0.6x+12-4\\Or, 0.8x0.6x=8-4.8\\Or,0.2x=3.2\\Or,x=\frac{3.2}{0.2} \\Ot,x=\frac{32}{2} \\Or,x=16[/tex]

Consider the given square shown.
Find the value of X,

Find the value of Y,

Then, find the perimeter of the square.

Please help!

Answers

Answer:

x=-14

Y=40

Perimeter=(4×14+3)×4=236

Step-by-step explanation:

as long as it's a square then

[tex]3x + 17 = 4x + 3 \\ 4 x - 3x = 3 - 17 \\ x = - 14 \\ \\ any \: angle \: in \: the \: square \: equal \: 90degrees \\ then \\ 5x + 4y = 90 \: \: when \: x = -14 \\ 4y = 5 \times 14 + 90 \\ 4y = 16 \\ y = 40[/tex]

[tex]perimeter =( 4 \times 14 + 3)\times 4 = 236[/tex]

X = 14

Y = 5

The perimeter of the square = 236

It's square so

3x + 17 = 4x + 3

3x + 17 - 4x - 3 = 0

-x + 14 = 0

X = 14

And

5x + 4y = 90, x = 14

5(14) + 4y = 90

70 + 4y = 90

4y = 20

Y = 5

The perimeter of a square is the total length of all the sides of the square, length = 59

The perimeter of the square = 4 × 59 = 236

A cone has a radius of 2 centimeters and a height that is 24 cm. Using 3.14 for pi, which of the following can
be used to calculate the volume of the cone?

Answers

Answer:

option 3

Step-by-step explanation:

[tex]volume = \frac{1}{3} \pi r^2 h = \frac{1}{3} \times 3.14 \times 2^2 \times 24[/tex]

I NEED HELP WITH GEOMETRY PLEASE HELPPPPPPPPPPPPPPPP

Answers

Answer:

need help too

Step-by-step explanation:

Select the correct answer.
Which inequality can this number line represent?
PLEASE HELP!!!!

Answers

Answer:

A, because x>3 or x<-4

Answer: D is the answer.

-4 < x < 3

Step-by-step explanation:

5x-2>-22 and 6x - 7 < 11

5x > -20 and 6x < 18

x > -4 and x < 3

Rearrange: -4 < x < 3 answer choice D

Choose the inequality that represents the following graph.


(Choice A)
A
x < -4x<−4x, is less than, minus, 4

(Choice B)
B
x \leq -4x≤−4x, is less than or equal to, minus, 4

(Choice C)
C
x > -4x>−4x, is greater than, minus, 4

(Choice D)
D
x \geq -4x≥−4

Answers

Answer:

c

my-step explanation:

Khan acadimy

The inequality that represents the following graph is C. x > -4

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

An inequality is a mathematical statement which compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to show relationships between quantities or to express constraints or conditions.

The inequality that represents the graph;

x > -4x>−4x, is greater than, minus, 4

x > -4

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Which table shows exponential decay?


Sorry can’t get all the graphs but if it’s not one of these then I know it’s the other one

Answers

Answer:

The 1st you show is an expositional decay.

Step-by-step explanation:

If you notice it is a declining power of 2

y = 2**(5-x) which is nonlinear

The 2nd is an arithmetic decline (constant decline) and the 3rd is a geometiric decline (constant ratio).

45 cm
60 om
What is the length of the hypotenuse?
centimeters?

Answers

Answer:

Answer:

Length of leg of triangle =  

Step-by-step explanation:

We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.

Let us assume the following labeling of the diagram, as attached in the answer area.

The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.

i.e. The sides XY and YZ will be equal.

Let XY = YZ = x cm

It is known that in a right angled triangle, pythagorean theorem holds well.

As per pythagoream theorem:

Putting the values:

So, the length of leg of triangle =

Step-by-step explanation:

75cm
45squared times 60squared then take the square root of that answer

help me youll get brainlyist if right pls help

Answers

Answer:

The 2nd one.

(2nd one on the top, to the right of YOUR screen)

top right bc the number x is over 15

Guys I need help, this question is soo hard for me, I can't figure out what's 1+1 I LIKE HAVE NO IDEA

Answers

Answer:

i think its 3

Step-by-step explanation:

Answer:

2  : )

Step-by-step explanation:

1 + 1

step by step -

7 + 03 93 fj OIF - 93 85

9352095 jfdos - 039 = 0395

3209  39329 -- -  93590 u -f = 0ig

0uwgw0330 = - 0 935239 5-f p  '/ 0320 * 930 9 (09)(0 ))

0 ef= 0  -f- -r3- 32 3t

9t88 2- == 9 -3=t=-2t 99t3t 02itejgqht 9h = -0ei r]3ti

egwieg hwg h0f- e0 -g0 e-f9e0392t ehsf - - d hf kj 9999- )-(-0

jegj h- = 0-0 0 )(() -0102

uq93t -t0 u

wej9gt u-=== == --- - == - -- -= = = = -w= g-=g-w-e =

after years of solving

i have come to the conclusion

that the answer

is

2

your welcome.

need this really quick plz

Answers

Answer:

Let

x=sin-¹u

Sinx=u

let y=tan-¹v

tany=v

Substituting

Sin[x + y]

Applying the sine expansion

Sinxcosy + CosxSiny

Recall x =Sin-¹u

y=tan-¹v

Sin(Sin-¹u)Cos(tan-¹v) +Cos(sin-¹u)Sin(tan-¹v)

Now at this point

Here's what you do

For the first expression

Sin(Sin-¹u)

Let's simplify this

Let P = Sin-¹u

Taking sine of both sides

SinP=u

Draw a Right angled angle for this

Since Sine from SOHCAHTOA is OPP/HYP

Where P is the angle and u is the opposite and 1 is the hypotenuse since u is the same as u/1

substituting Sin-¹u = P

You have

Sin(Sin-¹u) = SinP

and from the triangle you drew

SinP = u

Taking the second express

Cos(tan-¹v)

Let Q=Tan-¹v

taking tan of both sides

tanQ=v

Draw a right angled triangle for this too

Since Tan from SOHCAHTOA is OPP/ADJ

Find the Hypotenuse cos you'll need it

Now Let's do the substitution again

We first said tan-¹v = Q

When we substitute it in Cos(tan-¹v)

We have CosQ

Cos Q from the second right angle triangle you drew is 1/√1+v²

Because CAH is adj/Hyp

So

the first part of the original Express

Which is

Sin(Sin-¹u)Cos(tan-¹v) is now simplified to

u(1/1+).

Let's Move to the second part of the Original Expression

Cos(Sin-¹u)Sin(tan-¹v)

From our first solution

We said Sin-¹u= P

So replacing it here

we have Cos(sin-¹u) = CosP

let's leave the second one for now which is sin(tan-1v) We'll deal with this after the first

so Cos(Sin-¹u) = CosP

we can still use our first Right angle triangle for this because the angle was P.

so Cos P from that triangle will be

CosP= 1-

Now onto the next

Sin(tan-¹v)

From the Second solution of the first we did

we said let Tan-¹v =Q

Substituting this

we have

Sin(tan-¹v) = SinQ

using the second Right angle triangle because its angle is Q

We have

SinQ= v/1+

Answer for second phase Which is

Cos(sin-¹u)Sin(tan-¹v) = 1-(v/1+)

We're done

compiling our answers

The answer to

Sin(Sin-¹u - tan-¹v) = u(1/1+) + [(1-)(v/1+)]

You can still choose to factor out 1/1+ since it appears on both sides

please help with this:)

Answers

Answer:

[tex]area = 2 \times 6 \times \pi = 12\pi[/tex]

help me with this math question it is 4-36=x-180​

Answers

Answer:

4-36 = -32

-32 + 180 = 148

Therefore | x = 148

I hope I helped! :)

Answer:

148

Step-by-step explanation:

=> -32=x-180

=> -32+180=x

=> 148=x

Mark me brainliest :))

4) Chelsea has homework in six subjects.
She is deciding what order to complete
them in

Answers

Answer:

This isn't really a math problem since there aren't many numbers or variables provided to create an equation. So Chelsea can complete her homework in any order of her choice, but I would say that she should complete the homework that's due first before moving onto the more recent homework that was given.

there are 5 smiles Linda mad one a fawn haw many smiles are there now

Answers

Answer:

4

Step-by-step explanation:

5 smiles - 1 = 4 smiles

Answer:

I think there are still 5 smiles. I dont know

10
25°
Х
find value of
triangles

Answers

Answer:

x = 21.4

Step-by-step explanation:

Reference angle (θ) = 25°

Opposite = 10

Adjacent = x

Apply trigonometric function, TOA:

Tan θ = Opp/Adj

Tan 25 = 10/x

x*Tan 25 = 10

x = 10/Tan 25

x = 21.4450692 ≈ 21.4 (nearest tenth)

4/7=x/12 round to the nearest tenth

Answers

Answer:

6.9

Step-by-step explanation:

I will use cross-multiplication for this problem:

[tex]\frac{4}{7} =\frac{x}{12} \\\\7x=48\\\\x=\frac{48}{7} \\\\x=6.857[/tex]

Rounded to tenths:

6.9

'I'll mark you brainliest IF you get it correct"
PLEASE ANSWER

Answers

Answer:

0.6 feet/hr

Step-by-step explanation:

for each increase of 1 hour in x

there is an increase of 0.6 feet in y

The rate of change is ∆y/∆x

∆y/∆x = 0.6 feet/hr

Bella ordered a $6 smoothie. She paid sales tax of 9% and tipped 15% on the original $6. Including tax and tip, how much did Bella pay?

Answers

Answer:

I think the answer is around 24 to 25 dollars.

Bella paid a total amount of $13.49.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

We have,

Bella ordered a $6 smoothie.

Sales tax = 9%

So, amount after tax

= 6 + 9% of 6

= $6.54

and, tip= 15%

Amount after tip

= 6 + 0.15 x 6

= $6.9

Thus, Bella paid

= 6.54 + 6.9

= $13.49

Learn more about Percentage here:

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