Which point is an x intercept of the quadratic function f(x)=(x+6)(x-3)

[tex]

9y+18-5y+30=-4y-9 \\

8y+57=0 \\

y=-\frac{57}{8}=-7.125 \\

[/tex]

Hope this helps.

Answer:

[tex]y = -7 \frac{1}{8}[/tex]

Step-by-step explanation:

First off, Let's Simplify!

[tex]9y + 18 - 5y + 30 = -4y - 9[/tex]

Next, Let's Combine Like Terms!

[tex]9y - 5y + 18 + 30 = -4y - 9[/tex]

~~~~~~~~~~~~~~~~~~~~~~~

   [tex]4y + 48 = -4y - 9[/tex]

Now, Let's Isolate the Variable!

[tex]8y + 48 = -9[/tex]

[tex]8y = -57[/tex]

Final Answer:

[tex]y = -7 \frac{1}{8}[/tex]

Hope that helps and maybe earns a brainliest!

Answer:

The coordinates of C are (2,2)

Answer:

[tex]\frac{2x - 2}{x^2+3x-4}[/tex]

Step-by-step explanation:

In the figure attached, the question is shown. The function:

[tex]\frac{2x - 2}{x^2+3x-4}[/tex]

has a horizontal asymptote at y = 0 because the degree of the nominator polynomial is less than the degree of the denominator polynomial.

The roots of x² + 3x - 4 are -4 and 1

Then, x² + 3x - 4 = (x + 4)(x - 1)

The function has a vertical asymptote at x = -4 because it is a root of the denominator polynomial.

The function can be simplified as follows:

[tex]\frac{2(x - 1)}{(x+4)(x-1)}[/tex]

[tex]\frac{2}{x+4}[/tex]

Then, it has a removable discontinuity at x = 1

Answer:

D

Step-by-step explanation:

Answer: (6,-6)

Step-by-step explanation: so, the x coordinate before is 3, and traveling right is a positive number. So to find the x coordinate after, add 3 because it is going right 3 units, which is 6. The y coordinate was -2 before. Going down in terms for the y coordinate means negative, or to subtract, so the y coordinate after would be -6, because -2+4=-6

Hope you understand :)

Answer:

You can verify if lines are parallel if they have the same slope and different y-intercepts and if they don't intersect each other. You can also graph the 2 equations to see if they ever intersect.

Step-by-step explanation:

Answer:

C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right

Step-by-step explanation:

Step-by-step explanation:

As someone has thankfully answered your question. I'll just try to explain that concept to you.

In direct proportion, as the first variable increases or decreases, the second variable also increases or decreases. In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation.

So yes the answer is D

y = -3x

Answer:

D

Step-by-step explanation:

y = -3x

A solution is an assignment of values to the unknown variables that makes the equality in the equation true.

Answer:

what the variable is equal to

Step-by-step explanation:

for example, in a equation like 1x = 2x/2 the solution could be x=1

Answer:

the answer is X<3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: Triangle 1 is the image of triangle 2 reflected over the y-axis

Triangle 2 is the image of triangle 3 reflected over the x-axis.

Reflecting triangle 4 over the y-axis results in triangle 3.

Step-by-step explanation:

Triangle 1 is across from triangle 2. If you make the triangles bisect, they touch the y-axis.

Triangle 2 is above triangle 3. If you make the triangles bisect, they touch the x-axis.

If you "mirror" triangle 4 over the y-axis, you make the same shape then rotate it 90 degrees and put it the same distance from the y-axis.

I can't really explain it that good without touching the picture but its kinda just a mirror image.

You translate it (a congruent shape that is on a different axis and is the same distance from that axis) and rotate is 90 degrees

Answer:

y-axis

x-axis

3

Step-by-step explanation:

Answer:

Total released water = 15,664,310,000 cubic feet

Total % of released water = 1.04%

Step-by-step explanation:

Given:

Water capacity = 1,500,000,000,000 cubic feet

Total seconds in a week = 7 × 24 × 60 × 60

Per seconds release amount = 25,900 cubic feet

Computation:

Total released water = 25,900 × 7 × 24 × 60 × 60

Total released water = 15,664,310,000 cubic feet

Total % of released water = 15,664,310,000 cubic feet / 1,500,000,000,000

Total % of released water = 0.0144

Total % of released water = 1.04%

Answer:

equation of a line:

y = mx+c

1) find the gradient, m

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{ - 4 - ( - 4)}{ - 10 - 1} [/tex]

[tex]m = 0[/tex]

2) find y-intercept, c using coordinate (1,-4)

y = mx + c

-4 = 0(1) + c

c = -4

the equation of line:

y = mx+c

y = 0(x) + c

y = c

y = -4

Answer:

[tex]mGH=80^\circ[/tex]

Step-by-step explanation:

Circle F and J are congruent.

[tex]\angle DFE \cong \angle GJH[/tex]

Given that: m∠DFE = 80°

DFE is the central angle of the circle F.

The measure of arc GH is equal to the central angle of Circle J.

Since both circles are congruent

[tex]mGH=\angle DFE = 80^\circ[/tex]

The measure of arc GH is 80 degrees.

Answer:

Arc GH=80°

Step-by-step explanation:

Edge 2020

Step-by-step explanation:

Area 1 = the rectangle

8×3=24cm²

Area 2= semi circle

3.14r² 314/100×4×4 = 50.24cm²

add. 24+50.24 = 74.24cm² ( 10th)

270 degree counterclockwise rotation around the origin

=============================================================

Check out the diagram below. In the diagram, I only focus on points A and A'.

We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is [tex](x,y) \to (y,-x)[/tex] which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation

The other points follow the same idea.

Answer:

c

Step-by-step explanation:

Answer:

Thus, area of triangle is [tex]225/\sqrt{3}[/tex]

Step-by-step explanation:

Area if triangle is given by 1/2( base*height)

Given

Height = 15 units

also one angle is given as 30 degrees

we know Tan of any angle is  ratio of perpendicular and base

[tex]tan\alpha = perpendicular /base[/tex]

lets calculate tan 30 in the given triangle

we will take the smaller triangle containing angle 30 degrees and right angle

perpendicular will be half of base of triangle

base will be side with length 15 units

tan30 = perpendicular/15

[tex]1/\sqrt{3} = perpendicular/15\\=> perpendicular = 15/\sqrt{3}[/tex]

Thus, half of base of full triangle is [tex]15/\sqrt{3}[/tex]

so full base will be [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]

Full full triangle

height = 15 units

base =  [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]

Thus, area of triangle is [tex]1/2* 30/\sqrt{3}*15= 225/\sqrt{3}[/tex]

Answer:

361.25

Step-by-step explanation:

first subtract her sales

900 - 500 equals 400

next subtract her earnings

489-405= 85

next divide the remainder of her earnings by the remainder of her sales

85/400=.2125

finally multiply this by 1700

0.21 to 5 * 1700 equals 361.25

ffefefertjuylijhq DS3NUFHUFH4UFUFHUFUEFNUEFNUEFN

Answer:

5(x+11)/3(x+8) = 5x+55/3x+24

Step-by-step explanation:

The Answer Happens to be:

c

Answer:

(x-3)(x+i)(x-i)

Step-by-step explanation:

khan

The complete factorization of the polynomial is A = ( x + i ) ( x - i ) ( x - 3 )

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = x³ - 3x² + x - 3   be equation (1)

On simplifying , we get

A = ( x³ - 3x² ) + ( x - 3 )

Taking x² as the common term , we get

A = x² ( x - 3 ) + ( x - 3 )

Now , on factorizing the equation , we get

A = ( x² + 1 ) ( x - 3 )

where the value of ( x² + 1 ) = x² - i²

So , A = ( x² - i² ) ( x - 3 )

A = ( x + i ) ( x - i ) ( x - 3 )

Therefore , the value of A is ( x + i ) ( x - i ) ( x - 3 )

Hence , the factorized equation is A = ( x + i ) ( x - i ) ( x - 3 )

To learn more about factorizing click :

https://brainly.com/question/804076

#SPJ7

Answer:

3) 8:10

Step-by-step explanation:

You can simply multiply the entire ratio by 2 to get your answer:

2(4:5)

2(4):2(5)

8:10

Answer: See below

Step-by-step explanation:

Make a table with first set of numbers as 1,3. Multiply both the numbers of this set sequentially by natural numbers to get the following table

1   2  3  4    5    6     7    8     9      10......

3  6  9  12  15    18   21   24   27    30......

We see that in each set of numbers the 2nd number is 3 times the first number.

If we plot these sets of numbers on a graph paper, we get a model depicting all the points which satisfy this ration requirement.

Answer:

The answer is 3968

63 squared= 3969

3969-1 = 3968

Answer:

Option 3.

Step-by-step explanation:

The given inequalities are

[tex]x-2y<4[/tex]

[tex]y>-2x-5[/tex]

If (a,b) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (a,b).

For point (1,-4),

[tex](1)-2(-4)<4\Rightarrow 9<4[/tex] False

[tex]-4>-2(1)-5\Rightarrow -4>-7[/tex] True

Since, first inequality is false for (1,-4) point, therefore (1,-4) is not the solution.

For point (-8,2),

[tex](-8)-2(2)<4\Rightarrow -12<4[/tex] True

[tex]2>-2(-8)-5\Rightarrow 2>11[/tex] False

Since, second inequality is false for (-8,2) point, therefore (-8,2) is not the solution.

For point (0,0),

[tex](0)-2(0)<4\Rightarrow 0<4[/tex] True

[tex]0>-2(0)-5\Rightarrow 0>-5[/tex] True

Since, both of inequalities are true, therefore (0,0) is a the solution.

For point (-3,0),

[tex](-3)-2(0)<4\Rightarrow -3<4[/tex] True

[tex]0>-2(-3)-5\Rightarrow 0>-11[/tex] False

Since, second inequality is false for (-3,0) point, therefore (-3,0) is not the solution.

Hence, option 3 is correct.

Answer: 74 Cups

Step-by-step explanation:

What is the question asking?

The question is asking for the minium number of cups Lauren needs to sell

Total in profits they need to make?

They need to make 183$ because 175 + 8 = 183

183 / 2.5 = 73.2

because we need to sell at least 183$ worth we need to sell 74 cups or else we will not be making it all the way there.

<!> Brainliest would be appreciated! <!>

Answer:

price paid of speakers= £40.5

price paid of headphones=£ 5.6

price paid of book=£6.65

price paid of mobile phone=£42

price paid of mouse=£ 15.75

price paid of DVD=£11.05

solution,

1. Cost of speakers:

Discount percent=10 %

Marked price=£45

discount amount= discount % of MP

=10% of 45

=£4.5

Selling price= MP - discount amount

=£45-£4.5

=£ 40.5

2. cost of headphones:

discount amount= discount% of MP

=20% of 7

=£1.4

Selling price= MP- Discount amount

=£7-£1.4

=£ 5.6

3. cost of books:

discount amount= discount percent of MP

= 30% Of 9.50

=£ 2.85

selling price= MP- Discount amount

= £ 9.50-£2.85

=£ 6.65

4. cost of mobile phone:

discount amount= discount% of MP

=40% of 70

=£ 28

selling price= MP- Discount amount

=£70-£28

=£ 42

5. cost of mouse:

discount amount= discount% of MP

= 25% of 21

=£ 5.25

selling price= MP- Discount amount

=£21-£5.25

=£ 15.75

6. cost of DVD:

discount amount= discount % of MP

= 15% of 13

= £ 1.95

selling price= MP- discount amount

=£ 13 -£ 1.95

=£ 11.05

Hope this helps...

Good luck on your assignment..

Answer:

I think it's D

Step-by-step explanation:

Answer:27.5

Step-by-step explanation:

Answer:

B. 27.5

Step-by-step explanation:

37 is the Q2, which is the median,

Q1 is 27 + 28 / 2 = 27.5

Answer:

1402.5 Cubic Units

Step-by-step explanation:

Volume of a Triangular Prism: V = [tex]\frac{1}{2}bhl[/tex]

b - base

h - height

l - length  

15 is the height, 17 is the length, and 11 is the width  (assuming which is the base).

[tex]V=0.5 * (11 * 15 * 17) \\V=0.5*2085\\V=1402.5[/tex]

The volume of the prism should be 1402.5 cubic units.

Answer:

≈ 5.8

Step-by-step explanation:

Step 1: Round the fractions

29 1/5 = 146/5 = 29.2 ≈ 29

4 6/7 = 34/7 = 4.85714 ≈ 5

Step 2: Divide

29/5 = 5.8

The answer is under

Answer:

Vertex: (0, 12)

Direction: Upwards

Step-by-step explanation:

Easiest way to do this is to graph it. When you do so you should be able to see that your vertex is at (0, 12) and that the graph opens upwards (a is not negative, so no reflection over the x-axis).