3. Use a table of values to solve f(x) = g(x), where f(x) = x2^ – 8x - 15 and g(x) = - 4x + 6. Show your table
and your work.

3. Use A Table Of Values To Solve F(x) = G(x), Where F(x) = X2^ 8x - 15 And G(x) = - 4x + 6. Show Your

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]f(x) = g(x)\\\\x^2 - 8x -15 = -4x +6\\\\x^2 - 8x -15 +4x -6 = 0\\\\x^2 -4x -21 = 0\\\\x^2 -7x + 3x -21=0\\\\x(x-7)+3(x-7)=0\\\\(x+3)(x-7)=0\\\\x= -3, 7[/tex]

Answer 2
Answer:

x = -3 , 7

Step-by-step explanation:

f (x) = g(x)

x ² − 8x −15 = −4x + 6

x ² − 8x − 15 + 4x − 6 = 0

x ² −4x−21 = 0

x ² −7x + 3x −21 = 0

x ( x − 7 ) + 3( x − 7 ) = 0

( x + 3 ) ( x − 7 ) = 0

x = −3, 7


Related Questions

I'm kinda lost here, what do I do when the quadrant is given? CanI have some of these solved at least with steps?

Answers

Answer:

See Explaination

Step-by-step explanation:

According To Question

In Quadrant-1 (0* to 90*) ( All the Trignometry Functions are Positive )In Quadrant-2 (90* to 180*) (Only Sine & Cosecant are Positive)In Quadrant-3 (180* to 270*) (Only Tangent  & Cotangent Are Positive)In Quadrant-4 (270* to 360*) ( Only Cosine & Secant Are Positive)

(Diagram, Please Find In Attachment)

Question 38 . Cos ∅ = 12/13   ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)

Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13

other Five Trignometry Functions Are as Follow

Sin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12

Question 39 . SinX=-3/4   X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)

  Now For Other Trignometry Functions

Find By Using Basic Formulas

[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4

We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])

So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .

What is the equation of the graph shown above

Answers

I believe the answer is B
The correct answer is D (3x - 4y = 4)

Explanation:

Let (x1, y1) be (0, -1) and (x2, y2) be (-4, -4).

y - y1 = (y2 - y1)/(x2 - x1) * (x - x1)
y + 1 = (- 4 + 1)/(- 4 - 0) * (x - 0)
y + 1 = (-3)/(-4) * x
y + 1 = (3/4)x
(y + 1) * 4 = 3x
4y + 4 = 3x
4 = 3x - 4y
3x - 4y = 4

What set or sets does negative squareroot of 20 belong to? is it a real number, rational, integer, whole number, irrational, or natural?​

Answers

Answer:

Real number and Irrational number

Step-by-step explanation:

Given

[tex]-\sqrt{ 20[/tex]

Required

The set it belongs to

First, solve the expression

[tex]-\sqrt{ 20} = -4.472136[/tex]

The above number is not an integer and it is not whole or natural because it has decimal points

It is not a rational number because it cannot be expressed as a simple fraction

However, the number can be categorized as either irrational or real because of the level of the decimal point in the result

What is photosynthesis?​

Answers

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓[tex]\pmb{\qquad{\qquad{\underline{\green{\underline{\sf{Photosynthesis}}}}}}}[/tex]

Photosynthesis is the process by which green plants take in carbon dioxide and water, in the presence of chlorophyll by using sunlight to make their own food. Oxygen is released as a by product.

Chemical Reaction for PHOTOSYNTHESIS:

[tex]\sf 12H_2O + 6CO_2 \underset{chlorophyll}{\xrightarrow{Sunlight}} C_6H_{12}O_6 + 6H_2O + 6O_2 \uparrow[/tex]▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

which number is not equal to one of the following expressions? 1,400 x 10
140,000÷100 1,400 x 100
1,400
140
140,000
14,000

Answers

The answer is 140

Explanation:
1,400 x 10= 14,000
140,000\100=1,400
1,400 x 100= 140,000

Lowest common multiple of 45 and 54

Answers

Answer:

270

Step-by-step explanation:

Answer:

the answer is 270

Evaluate n^2 -m. If you n=-5 and m=3

Answers

Answer:

22

Step-by-step explanation:

n² - m =

-5² - 3 =

25 - 3 = 22

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

22

Step-by-step explanation:

(-5)^2- 3

two negatives make a positive which would be 25 then minus the 3

=25-3

then you get your total

=22

I need help answering h to is question

Answers

Answer:

[tex] y = \frac {4}{3}x - 2[/tex]

Step-by-step explanation:

Given the following data;

Points on the line (x1, y1) = (3, 2)

Slope, m = 4/3

To write the equation in slope intercept form;

First of all, we would determine the intercept of the line.

Equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Substituting the values in order to find the intercept, we have;

2 = 4/3(3) + c

2 = 4 + c

c = 2 - 4

c = -2

Therefore, the equation of line is y = 4/3x - 2

[tex] y = \frac {4}{3}x - 2[/tex]

Susan’s ribbon is 3.8 metres long.
What is the length of her ribbon in millimetres?

Answers

Answer:

the answer is 3800mm.because 1m is 1000mm

PLZ SOLVE. DONT BE WRONG PLEASEEEE I NEDD ED THIS

Answers

Answer:

288

Step-by-step explanation:

Take the area of every individual section, and add them together.

24

24

100

80

60

The scatterplot shows the time spent playing a video game and the number of points scored by several students.



Based on the scatterplot, which is the best prediction of the number of points scored by a student who spends 45 minutes playing the video game?

Answers

It seems you havent posted a graph

It is believed that 25% of U.S. homes have a direct satellite television receiver. How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points?

Answers

Answer:

A sample of 801 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

25% of U.S. homes have a direct satellite television receiver.

This means that [tex]\pi = 0.25[/tex]

How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points?

This is n for which M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.25*0.75}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2[/tex]

[tex]n = 800.3[/tex]

Rounding up:

A sample of 801 is needed.

Find the volume of the rectangular pyramid below.

Answers

Answer:

315 yd cubed

Step-by-step explanation:

To find the volume of the pyramid, we first need to consult the equation below. Thebase is for the rectangular portion, then after multiplied by the height it is divided by 3 to get the pyramid.

[tex]\frac{1}{3} (B * H )[/tex]

To get the base, we multiply the length by the width.

21 * 9 = 189

189 * 5 = 945

945 divided by 3 = 315

Answer:

Let's find the base area:

21 x 9 = 189

Now let's multiply the base area by the height:

189 x 5 = 945

Now let's divide by 3( x 1/3 ):

945 divided by 3(x 1/3) = 315 yd^3 is your answer

Step-by-step explanation:

Formula area of a rectangular Pyramid(just like any other pyramid):

BH x 1/3

To find base we multiply length by width just using the basic formula of finding area of a rectangle.

Then we multiply our base area by our height.

One we've done that we now divide by 3(multiplying by 1/3)

Evaluate the following integral over the ellipse ​

Answers

The underlying vector field,

F(x, y) = -y/(4x ² + 9y ²) i + x/(4x ² + 9y ²) j,

is conservative, so any integral of F over a closed path is 0.

To establish that F is conservative, we want to find a scalar function f(x, y) whose gradient is equal to F(x, y), which entails solving

[tex]\dfrac{\partial f}{\partial x}=-\dfrac y{4x^2+9y^2}[/tex]

[tex]\dfrac{\partial f}{\partial y}=\dfrac x{4x^2+9y^2}[/tex]

Integrating the first equation with respect to x yields

[tex]f(x,y)=-\dfrac16\arctan\left(\dfrac{2x}{3y}\right)+g(y)[/tex]

and differentiating with respect to y gives

[tex]\dfrac x{4x^2+9y^2}=\dfrac x{4x^2+9y^2}+\dfrac{\mathrm dg}{\mathrm dy} \implies \dfrac{\mathrm dg}{\mathrm dy}=0 \implies g(y)=C[/tex]

Which graph best represents the equation f(x) = 2(5)^x

Answers

Answer:

H

Step-by-step explanation:     6  4  17  30

if x = 0     f(0) = 2×5^0

                     = 2 × 5

                     = 10

H is the only graph that equals 10 at x=0

Answer:

See the image below for the answer:)

Step-by-step explanation:

Hope this was helpful.

The ages of the members of a family are 46, 48, 21, 12, 15, and 8. what is the mean age?

Answers

Answer:mean means to average. in order to average, add all the numbers then divide by how many numbers you have.

All these ages add up to 150. because there are 7 ages, divide by 7. this is 21.4 which can be rounded to about 21

46 + 48 + 21 + 12 + 15 + 8 = 150

150 ÷ 7= 21.4285 = 21

Step-by-step explanation:

The answer is 25. Add up all the numbers and then divide by how many numbers there are

7. CHALLENGE: Use the digits 0 to 9 to make the equation true. You don't need to use all thedigits you can only use each digit once.
20 = ___+(___-___)×___​

Answers

9514 1404 393

Answer:

  20 = 2 + (7 -4) × 6

Step-by-step explanation:

The Order of Operations requires the parentheses be evaluated first, then the multiplication performed. Finally, the addition is performed.

If each of the blanks is filled with a single digit, the result of the multiplication must be a composite number greater than 10. Those are 12, 14, 15, 16, 18, 20. For the expression shown above, we have chosen to make the product be 18. That means the first blank is filled with 2 and the remaining blanks must evaluate to one of the products 2×9 or 3×6.

We have chosen 6 for the last blank, so the two blanks in parentheses must have a difference of 3. The digits 2 and 6 cannot be used, leaving possible choices as (3-0), (4-1), (7-4), (8-5).

Our final expression is chosen to be ...

  20 = 2 +(7 -4)×6

Find the volume of a prism

Answers

Answer:

10x7x5=350. Your answer is B! heart it if it was good!

Step-by-step explanation:

Answer:

to find the volume of a prism you need to multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Step-by-step explanation:

Perimeter of a rectangle is 11 inches. The length of the rectangle is 1/2 inches what is the width of the rectangle?

Answers

Answer:

=5

Step-by-step explanation:

perimeter= 2(L)+2(W)

11 =2(1/2)+2W

11=1+2W

11-1=2W

10=2W

Both sides divided by 2

therefore The width is 5

Work out the size of angle x

Answers

Answer:

[tex]x=47^{\circ}[/tex]

Step-by-step explanation:

By definition, parallelograms have two pairs of parallel sides. Therefore, AD and BC are parallel, and the angles marked with [tex]x[/tex] and [tex]47^{\circ}[/tex] are alternate interior angles. Since alternate interior angles are equal, we have [tex]x=\boxed{47^{\circ}}[/tex]

Can someone help me please !

Answers

The slope is positive one

PLEASE HELP ME ITS DUE SOON

Answers

Guppies .4
Mollies .3
Catfish .05
Swordfish .15
Tetras .1

**dont forget the decimals**

Find the x and y intercepts of the equation. Express your answers as points. 5 x + 7 y = − 140

Answers

Answer:

x-intercept(s): (-28, 0)

y-intercept(s): (0, -20)

Step-by-step explanation:

Try This Answer.

Need help
7th grade
Vertical angles

Answers

Answer:

a) 90°

b) 90° - 35° = 55°

c) 65° - 40° = 25°

d) 90° - 65° = 25°

e) 180° - 65° = 115°

f) 180° - 35° = 145°

g) 180° - 40° = 140°

h) 65° + 35° = 100°

180° - 100° = 80°

i) 90° - 40° = 50°

j) 35° + 40° = 75°

180° - 75° = 105°

(the answer is written in bold)

Metric Units of Length
1 km = 103 m = 1,000 m
1 m= 102 cm = 100 cm
1 m = 103 mm = 1,000 mm
1 cm = 10 mm
Which of the following tells how to change a measurement from millimeters to meters?
O Divide by 10
O Multiply by 10
O Divide by 1,000
O Multiply by 1,000

Answers

Answer:

devide by 1000 is answer

Answer:

divide by 1000

Step-by-step explanation:

1m=1000mm

? = 10mm

10m*1m/1000

=

Please show work thank you

Answers

Answer: 70 mph

Step-by-step explanation:

5.6x10^11-1.12x10^10=

Answers

Answer:

548800000000

Step-by-step explanation:

5.6 × 10¹¹ - 1.12 × 10¹⁰

560000000000 - 11200000000

548800000000

Write an equitation for each problem and solve; someone help! I have until 4!

Answers

Taxi Word Problem

C = 3.50 + .50m + 3

C = 3.50 + .50(13) + 3

C = 3.50 + 6.50 + 3

C = 13

The total cost will be $13.00

Rock Climbing Word Problem

Trina: 5 + 3.25h = 21.25

Now, subtract 5 from both sides.

3.25h = 16.25

Now, divide both sides by 3.25.

h = 5

Trina spent 5 hours at the facility.

Ralph: 21.25 - 5/ 3.25 = h

Subtract 5 from 21.25

16.25/ 3.25 = h

Now divide

5 = h

Ralph will spend 5 hours at the facility to spend the same amount as Trina.

I hope I helped you in time! Good Luck!!


The circumference of a circle is 36 cm.
What is the radius of the circle?

Answers

Answer:

The radius is 6 cm rounded

Step-by-step explanation:

[tex]C[/tex] stands for circumference

[tex]r[/tex] stands for radius

here's the formula to find the radius:  [tex]r=\frac{C}{2\pi }[/tex]

[tex]r=\frac{36}{6.283}[/tex]

[tex]r=5.729[/tex]

Hope this helps

Answer:

r = 18/pi or approximately 5.732484076 cm

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

36 = 2*pi*r

Divide each side by 2 pi

36 / (2pi) = 2pi r/ (2pi)

18/ pi = r

Using 3.14 for pi

18/ 3.14 = r

5.732484076 = r

You choose a marble at random from a bag contains 12 red 10 blue 5 green 4 yellow and 29 black marbles. The marble is red.

Answers

Step-by-step explanation:

P(red) = 12/(12+10+5+4+29)

= 12/60

= 1/5

= 0.2

= 20%

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