8.
If one zero of the quadratic polynomial x2 - 7x + 5k is -2, then find the value of k

Answers

Answer 1

Answer:

k = - 3.6

Step-by-step explanation:

Given x = - 2 is a zero then f(- 2) = 0

Substitute x = - 2 into the polynomial and equate to zero

(- 2)² - 7(- 2) + 5k = 0

4 + 14 + 5k = 0

18 + 5k = 0 ( subtract 18 from both sides )

5k = - 18 ( divide both sides by 5 )

k = - 3.6


Related Questions

What is the length of BC, given that figure ABCD is a rectangle?
B
с
12
А
18
D
O A. 6
O B.9
C. 18
O D. 12
HELPPP MEEE PLEASEE ASAPPPPP

Answers

Answer:

C

Step-by-step explanation:

ABCD is a rectangle so BC = AD

Since opposite side of a rectangle are equal in length, the side BC is equals to AD. Therefore, side BCis equals to 18 units.

Properties of a rectangleOpposite sides are equalOpposite sides of a rectangle are parallelAll the angles of a rectangle are equals to 90 degrees.The diagonals of a rectangle are equal in length.The diagonal bisect each other at there point of intersection.

Since opposite sides are equal in length. Therefore,

AD ≅ BC

AB ≅ CD

Hence,

BC = 18 units.

learn more on rectangle here: https://brainly.com/question/15019502

#SPJ5

The temperature of the water in a coffeepot does not exceed 210 ° Fahrenheit. Let t be the temperature of the water in the coffeepot. Question Move a number, a variable, and a symbol to the line to create an inequality that represents this situation.

Answers

Answer:

t ≤ 210°

Step-by-step explanation:

If the temperature of the water in a coffeepot does not exceed 210°, this means that the temperature cannot be more than 210° and the required inequality sign that fits is ≤ (less than or equal to).

Since t is the temperature of the water in the coffeepot, the required inequality expression will be t ≤ 210°

Enter the slope-intercept equation of the line shown below. Is it y=-3x+3 or is it y=3x+3??!!

Answers

Answer: The line is y=-3x+3

Step-by-step explanation:

Its decreasing by 3 shown in the line so it would -3 and the equation for the  line would be y=-3x+3 as you said.

Explain why there are infinitely many solutions to the equation
sin X = 1/2

Answers

Answer:

Well, everything can be turned into a half.

Step-by-step explanation:

A cylinder has a radius of 5x + 4 and a height of 2x + 5. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula v=πr²h for the volume of a cylinder

Answers

Answer:

Step-by-step explanation:

Volume = pi·(r^2)*h

r = radius = (5x+4)

h = height = (2x+5)

 

Volume = pi·(r^2)

Volume = pi·(5x+4)^2*(2x+8)

Volume = pi·(25x^2+40x+16)*(2x+8)

Volume = pi·(50x^2+80x+32+200x^2+32x+128)

Volume = pi·(250x^2+112x+160)

Chloe and Ainsley start an art club. The first week they are the only 2 people in the club. They invite more friends to join. Each week the
number of people in the club doubles.
How many people are in the club on the third week?

Answers

Answer:

8.

Step-by-step explanation:

first week: 2

second week: 2×2=4

third week: 4×2=8

hence, 8 members joined the club on the third week.

A teacher asked four students to estimate the length of a grain of rice. Jack answered 4.5 x 10^-3 kilometer, Lilly answered 4.5 x 10^-3meter, Diego answered 4.5 x 10^-3vcentimeter, and Willa answered 4.5 x 10^-3 millimeter. Who gave the best answer

Answers

Answer:

Lilly

Step-by-step explanation:

According to the literature, the length of a medium grain rice is between 5.3 and 5.9 mm. Let's take the average (5.6 mm) and convert it to meters to compare it with the estimations. We will use the conversion factor 1 m = 1000 mm.

5.6 mm × 1 m/1000 mm = 5.6 × 10⁻³ m

Jack answered 4.5 × 10⁻³ kilometers. We will convert it to meters using the conversion factor 1 km = 1000 m.

4.5 × 10⁻³ km × 1000 m/1 km = 4.5 m

Lilly answered 4.5 × 10⁻³ meters.

Diego answered 4.5 × 10⁻³ centimeters. We will convert it to meters using the conversion factor 1 m = 100 cm.

4.5 × 10⁻³ cm × 1 m/100 cm = 4.5 × 10⁻⁵ m

Willa answered 4.5 × 10⁻³ millimeters. We will convert it to meters using the conversion factor 1 m = 1000 mm.

4.5 × 10⁻³ mm × 1 m/1000 mm = 4.5 × 10⁻⁶ m

As we can see, Lilly gave the best answer (same order of magnitude).

Name the angle and the intercepted arc.

Answers

Answer:

The angle formed is ∠LMK and the intercepted arc is LK.

Step-by-step explanation:

The given figure shows a circle of radius M. L and K are other points on the circle.

The distance from the center of the circle to a point on the circle is called radius.

LM and MK are the radius of the circle or

LM = MK

The angle formed is ∠LMK.

The intercepted arc is LK.

Find the roots of the following function:

y = x2 − 7x − 30

Answers

Answer:

x = 3, −10

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.

Helppp pleasee!!!
MARK BRAINLIST
12 POINTS

Answers

Answer:

12.56

Step-by-step explanation:

use the circumference of a circle formula, C=2πr, to find the circumference

so C=2π(2)=12.56 the last one

The correct answer should be 12.56

I need a answer for this

Answers

Answer:

148 i think i’m not sure

Step-by-step explanation:

Answer:

Hello! answer: b = 24

Step-by-step explanation:

25 × 25 = 625 7 × 7 = 49 625 - 49 = 576 24 × 24 = 576 therefore b = 24 hope that helps!

The circle below is
centered at (2, 3) and has a radius of 4. What is its equation?

Answers

Answer:

Step-by-step explanation:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the center of the circle and r is the radius. Filling in:

[tex](x-2)^2+(y-3)^2=16[/tex]

A una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan. Terminada la actividad, cada uno de los muchachos salió acompañado por una dama. Hugo salió con la amiga de Nancy. Pamela, que no simpatiza con Nancy, salió antes que Manuel.

Answers

Answer:

Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.

Step-by-step explanation:

Dado que a una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan, y terminada la actividad, cada uno de los muchachos salió acompañado por una dama, y Hugo salió con la amiga de Nancy, mientras que Pamela, que no simpatiza con Nancy, salió antes que Manuel, para determinar con quién salió cada persona debemos realizar el siguiente razonamiento lógico:

Hugo = Amiga de Nancy (no es Pamela) = Susan

Pamela = Sale antes que Manuel (no sale con Hugo) = Coco

Nancy = Manuel

Por lo tanto, Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.

express Rs 1.50 as a percentage of 200 cents

Answers

1 $ = 100 cents

1.5 $ = 150 cents

1.50 $ a percentage of 200 cents = (150/200)100= 75%

A N S W E R
Q U I C K L Y
P L E A S E

Answers

Answer:

Your answer is D

Step-by-step explanation:

I literally have an Math Expert right next to me and he verified this answer!

Plz gimme a like!!

HELP!!!! ASAP
NO LINKS!!!!

Answers

Answer:

17.98

Step-by-step explanation:

We can use the sum of a finite geometric series formula(in the picture). We can start by plugging in what we have. As of now, we have the first term, 12 and by dividing a term by a previous term, we can tell that the common ratio, r is 1/3. Lastly, we can say that n is equal to 6, because we are looking for the sum of the first 6 terms. After substituting we get:

[tex]\frac{12 - 12*(\frac{1}{3})^6}{1-\frac{1}{3} }[/tex]

We can start by simplifying:

[tex]\frac{12-12(\frac{1}{729}) }{\frac{2}{3} }[/tex]

[tex]\frac{\frac{2916}{243} -\frac{4}{243} }{\frac{2}{3} }[/tex]

[tex]\frac{\frac{2912}{243} }{\frac{2}{3} }[/tex]

[tex]\frac{2912}{243}*\frac{3}{2}[/tex]

[tex]\frac{1456}{81}[/tex]

17.975308642

This can be rounded to 17.98

Answer:

17.98

Step-by-step explanation:

Given:

a₁ = 12r = 1/3n = 6

Find the sum:

Sₙ = 12(1 - (1/3)⁶)/(1 - 1/3) = 12(1 - 1/729) / (2/3) = 18(728/729) = 17.98 rounded

what is mass and solid and gas

Answers

Particles behave differently within each state of matter: solid, liquid, and gas. The particles give matter a property called mass. The mass of an object is related to the amount of material that makes up the object and how hard the object is to move. Simple experiments can show how gases have mass.

A family on vacation records the time in hours) and the distance (in miles) that they travel. The data are shown in the scatter plot below.

Distance (miles)


YA

450

400

350

300

250

200

L

150

100

50

0

0 1 2 3 4 5 6 7 8 9

Time (hours)

Based on the scatter plot, the family travels miles in the first 3.5 hours.

If you answer with a link I will report you and get your account blocked

Answers

Answer:

In the first 3.5 hours, the family travelled 175 miles.

Step-by-step explanation:

We have the table:

time (hours)              distance ( miles)

      0                                   0

      1                                   50

       2                                 100

      3                                  150

      4                                 200

      5                                 250

      6                                 300

      7                                 350

      8                                 400

      9                                 450

This seems like a linear relationship, let's write the general line:

y = a*x + b

That represents this situation, y is the distance in miles and x is the time in hours.

In the line equation, a represents the slope and b the y-intercept.

And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)

So if we use the first two (0, 0) and (1, 50)

the slope is:

a = (50 - 0)/(1 - 0) = 50

Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:

a = (250 - 200)/(5 - 4) = 50/1 = 50

So we can conclude that the slope of the equation is a = 50

Then the equation is something like:

y = 50*x + b

To find the value of b, we can use any of the points of the line, for example (0, 0)

This means that when x = 0, y also must be 0, then:

0 = 50*0 + b

0 = b

Then the equation is:

y = 50*x

Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:

y = 50*3.5 = 175

In the first 3.5 hours, the family travelled 175 miles.

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3

Answers

Answer:

Y remains unchanged because y is still 7.

The answer is d the y intercept is the same but the x intercept is increasing

Can you please help me by telling me which one is the answer and how do I solve to get the answer.
Thank you

Answers

( 3x - 12 / 9x^2 ) ÷ ( x - 4 / 3x ) =

( 3x - 12 / 9x^2 ) × ( 3x / x - 4 ) =

( 3 ( x - 4 ) / 3 × 3x × x ) × ( 3x / x - 4 ) =

( x - 4 / 3x × x ) × ( 3x / x - 4 ) =

( x - 4 ) × 3x / ( x - 4 ) × 3x × x =

1 / x

Thus the correct answer is option A .

PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH

Answers

Answer:

Look below

Step-by-step explanation:

Ok Just Plug it in

For the chart

1:8

2:9

3:10

4:11

And then graph on desmos

You should the answer

Sorry if I am wrong.

Answer:

second graph

Step-by-step explanation:

When x=1,

y=1+7=8

When x=2,

y=2+7=9

When x=3,

y=3+7=10

When x=4,

y=4+7=11

Simplify for ez points!

Answers

Answer:A

Step-by-step explanation:  divide both by 5 and you get 3/4 because 15 divided by 5 = 3 and 20 divided by 5 =4

The answer is A your welcome

I NEED ANSWERS AND WORK ON THIS ASAP PLEASE!!!!!

Answers

Answers:
3.) =2±1 4.) v=2 v=6

THALES’ THEOREM: If A, B, and C are three different points on a circle with a diameter line AB, then ∠ABC is a right angle True or false

Answers

Answer:

your question is that true

Step-by-step explanation:

my answer is false

unit used to measure humidity​

Answers

The specific humidity unit is the most reliable unit of measurement of humidity. This measures the weight of water vapor per unit weight of air and it is expressed as grams of water vapor per kilogram of air g.kg-1 is the specific humidity unit.

PLEASEEEEEE HELP IM BEGGING SOMEONE PLEASEEEEE HELPPPPPPPPPPPPPP

Answers

Answer:

1.105°

angle relationship=vertical angles

2.112°

angle relationship=interior angles

Step-by-step explanation:

1.180-75=105

2.180-68=112

#Carry on Learning

Suma masurilor a doua unghiuri este egala cu 180(de grade). Determinati masura fiecarui unghi stiind ca unul dintre unghiuri are masura egala cu 20% din masura celuilalt unghi

Answers

Answer:

150 grados

30 grados

Step-by-step explanation:

Sea x la medida del primer ángulo

Sea la medida del segundo ángulo y

Según la pregunta;

x + y = 180 -------- (1)

De la segunda oración;

x = 0,2 años -------- (2)

Sustituyendo (2) en (1)

0,2 años + y = 180

1,2 años = 180

y = 180 / 1,2

y = 150 grados

Pero;

x = 0,2 años

Entonces

x = 0,2 (150)

x = 30 grados

Por eso;

y = 150 grados

x = 30 grados

1. The angle θ lies in Quadrant I.


sinθ=2/5


What is cosθ?


√−21/5


−2/5


√21/5


2/5

Answers

Answer:

2/5.......................

Which one is equivalent? Ez points

Answers

Answer: B: -4 by -4 by -4

Step-by-step explanation: When a number is to be used with a negative exponent, the number is to be multiplied by however many times the number says to multiply it, and whether the exponent is positive or negative determines the numbers being multiplied, whether they should be negative or positive. (Sorry, I'm not good at wording this, I'll provide an example below.);

4^-3 means that you multiply four three times, but the exponent is also negative, so it would make each of the base numbers negative.

-4 by -4 by -4

Find a formula for dy/dx if sin x + cos y + sec(xy) = 251

Answers

Answer:

[tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Factoring

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Trig Differentiation

Derivative Rule [Chain Rule]:                                                                                       [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Implicit Differentiation

Step-by-step explanation:

Step 1: Define

Identify

sin(x) + cos(y) + sec(xy) = 251

Step 2: Differentiate

[Implicit Differentiation] Trig Differentiation [Chain Rule]:                             [tex]\displaystyle cos(x) - sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = 0[/tex]                       [Subtraction Property of Equality] Isolate  [tex]\displaystyle \frac{dy}{dx}[/tex]  terms:                                     [tex]\displaystyle -sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = -cos(x)[/tex][Distributive Property] Distribute sec(xy)tan(xy):                                            [tex]\displaystyle -sin(y)\frac{dy}{dx} + ysec(xy)tan(xy) + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x)[/tex][Subtraction Property of Equality] Isolate  [tex]\displaystyle \frac{dy}{dx}[/tex]  terms:                                     [tex]\displaystyle -sin(y)\frac{dy}{dx} + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x) - ysec(xy)tan(xy)[/tex]Factor out  [tex]\displaystyle \frac{dy}{dx}[/tex]:                                                                                                   [tex]\displaystyle \frac{dy}{dx}[-sin(y) + xsec(xy)tan(xy)] = -cos(x) - ysec(xy)tan(xy)[/tex][Division Property of Equality] Isolate  [tex]\displaystyle \frac{dy}{dx}[/tex]:                                                      [tex]\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

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