Mathematics High School

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

The yearbook has 12 pages for ads. Each page measures 6 in. By 12 in. Each ad measures 6 in. By 3 in. If all the ad space sells at ​$10 per​ ad, how much money will this raise for the​ yearbook?

Answers

Answer:

$480

Step-by-step explanation:

Each page measures 6 in. By 12 in. Each ad measures 6 in. By 3 in

based on the dimensions, there would be 4 ads per page

total ads in 12 pages = 4 x 12 = 48

total cost of ads = 48 x 10 = 480

Which name could be used to describe this group of solid shapes?

Answers

Answer: shapes with at least 1 circular face

Step-by-step explanation:

The major types of solid shapes are: cubes, cuboids, prisms, pyramids, platonic solids, torus, cone, cylinder, and sphere.

D Shape with at lease 1 face

HOPE THIS HELPS

mary drew a picture of a building. she used the scale shown 1 in:16 ft. the building in her pictures 9 inches tall. what is the height, in feet, of the actual building.

Answers

Answer:

okay

i am not sure the answer but hi i am ok

The equation of the line of best fit of a scatter plot is y = 6x − 9. What is the slope of the equation?

–6
–9
9
6

Answers

Answer:

6

Step-by-step explanation:

In y=mx+b, m is the slope. 6 is in the place of m so 6 is the slope

Graph the system of​ equations, and determine the solution.
x+5y=5
2x+10y=60

Answers

Step-by-step explanation:

the systems have no solution

the lines are parallel each other

graph as attached

HELP NEEDED!
What is the Surface Area of this pyramid?
A)96
B)101
C)106
D)111

Answers

Answer:

A

Step-by-step explanation:

(2 * sqrt(5^2 - 4^2))^2 = 36

4 * 1/2 * 5 * 6 = 60

60 + 36 = 96

what is the percentage of (1)/(2)

Answers

Answer:

50%

Step-by-step explanation:

          1 whole = 100%

1/2 of a whole = 1/2 × 100%

                       = 50%

NEED HELP ASAP!!!!!!George and John travel 392 miles in 7 hours. If they travel at the same rate, how long will it take them to travel 728 miles?
a) Find their rate: _____ mph


b) It took them ____ hours to travel 728 miles

Answers

Rate: 56mph
It took them 13 hours to travel 728 miles
The rate for A is 56


A Mall has 21 shops: 9 are pens, 7 are shoes, and 5 are watch shops. What
is the probability that we will go shopping in pens or shoes shop?

Answers

Answer:

16/21

Step-by-step explanation:

9+7 / 21

16/21

Answer:

16/21

Step-by-step explanation:

The demoninator is 21

There are 9 pens and 7 shoes.

9+7=16

16/21

You can not simplify 16/21, so that is your final answer.

Find the slope-intercept equation of the line that passes through (2,-5) and has a slope of 1/3 ​

Answers

Answer:

y = 1/3x - 17/3

Step-by-step explanation:

Given:

Passes through (2, -5)

m = 1/3

Slope-intercept:

y - y1 = m(x - x1)

y - (-5) = 1/3(x - 2)

y + 5 = 1/3x - 2/3

y = 1/3x - 17/3

find the value of x
answers
118
62
82
28

Answers

Answer:

118°

Step-by-step explanation:

Don't think the answer is 62° this time both 118° and angle x are congruent.

What do I mean by that? Both angles measure the exact same thing.

The only difference is their line length (n) and (m).

True or False
3 is a factor of n(n + 2)(n − 1) by mathematical induction.
Explain why.

Answers

Answer:

false

Step-by-step explanation:

this beacuse when is times with the base that shows the product thats the factor

what is the vertex of this quadratic?

Answers

Answer:

(-3,0)

Step-by-step explanation:

The vertex is the maximum  of a downward facing parabola

The maximum is (-3,0)

If the information given below represents an arithmetic sequence


a1= 49 and a8= 14 find:


d =


a27=



WILL AWARD BRAINLIEST

Answers

Answer:

a₂₇ = -81

Step-by-step explanation:

Given that,

The first term of an AP is, a₁ = 49

8th term of the AP, a₈ = 14

nth term of an AP is given by :

[tex]a_n=a_1+(n-1)d\\\\a_8=49+7d\\\\14=49+7d\\\\7d=-35\\\\d=-5[/tex]

27th term of the AP is given by :

[tex]a_{27}=a_1+26d\\\\=49+26(-5)\\\\=-81[/tex]

So, 27th term of the AP is -81.

A truck is 48 ft. long and 10 ft. wide. The owner wants to paint a red stripe around the outside of the truck. How long is the stripe? Please explain​

Answers

480 ft wide, the area is l times w.

in a box of pens, 30% of them are blue, 45% are red and the rest are black. if there are 360 red pens, find the total number of pens.

Answers

Answer:

800

Step-by-step explanation:

Subtract the polynomials.
( x^6 -2x^5 –x^3 — 7) – (3x^6 - 3x^5 -2x^ 2 – 5)

Answers

Answer: -2x^6+x^5-x^3-2+2x^2 Hope that helps!

Step-by-step explanation:  

1. Remove Parentheses x^6-2x^5-x^3-7-3x^6+3x^5+2x^2+5

2. Collect like terms (x^6-3x^6)+(-2x^5+3x^5)-x^3+(-7+5)+2x^2

3. Simplify and your answer would be -2x^6+x^5-x^3-2+2x^2

Solve the following equation for x: 3x - 8 = 25

Answers

Answer:

x = 11

Step-by-step explanation:

First you isolate the 3x to one side by adding 8 to both sides, this then gives us the equation 3x = 33, then you divide 33/3 which equals 11

3x-8=25
+8 +8
3x=33
/3 /3
x=11
hope this helps!!

The radius of a circle is 14 millimeters. What is the circle's area?

Answers

Answer:

Step-by-step explanation:

use formula,

area of circle=π(r)^2

=3.14*(14)^2

=3.14*196

=615.44 millimeters

What is the volume of this prism?


28 cubic units
9 cubic units
17 cubic units

Answers

Answer: C) 17 cubic units

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

Work Shown:

L = 5 = length

W = 2 = width

H = 1.7 = height

V = volume

V = L*W*H

V = 5*2*1.7

V = 17 cubic units

Which phrase represents the algebraic expression for r + 12?
A. The difference of a number and twelve.
B. The product of a number and twelve.
C. The quotient of a number and twelve.
D. The sum of a number and twelve.

Answers

Answer:

I guess d is the answer . cause the sum of a number (a number added to something) represented by a variable is added to twelve

Find the value for the given variables. Give the variables in simplest radical form.

Answers

[tex] \huge\boxed{ \boxed{\mathrm{ \underline{Answer}࿐ }}}[/tex]

The given triangle is a right angled triangle,

so let's apply trigonometry here :

[tex] \sin(30) = \dfrac{7}{y} [/tex]

[tex] \dfrac{1}{2} = \dfrac{7}{y} [/tex]

[tex]y = 7 \times 2[/tex]

[tex]y = 14 \: \: units[/tex]

Now,

[tex] \cos(30) = \dfrac{x}{y} [/tex]

[tex] \dfrac{ \sqrt{3} }{2} = \dfrac{x}{14} [/tex]

[tex]x = \dfrac{14 \sqrt{3} }{2} [/tex]

[tex]x = 7 \sqrt{3} [/tex]

[tex]x = 12.12 \: \: units[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Using Properties of Right Triangles
Answer these questions about the right triangle.
What is the area of the square of the leg 6?
What is the area of the square of the leg 8?
What is the area of the hypotenuse square?
6 units
What is the length of the hypotenuse?
8 units
) Intro
✓ Done
Tutoring Help
Frame Chain/Activity

Answers

Answer:

1st one is 36

2nd one is 64

3rd one is square root of 72

4th one is square root of 128

Problem 1: Your new computer cost $1500 but it depreciates (decreases)
in value by about 18% each year. How much does it cost after 15 years?
a) Does this equation represent growth
or decay? Circle one.
growth decay
b) Identify the initial amount
c) Identify the growth or decay rate
d) Write an exponential function to
model the situation
Y = A (1 r)'
e) How much does the computer cost
after 15 years?
Students, draw anywhere on this slide!

Answers

These are the answers:
A) Decay
B) $1500
C) 0.18
D) 76.44

Please I need help?!?!?!?!?!

Answers

Answer: y=7

Step-by-step explanation:

Using the formula: (y - y1) = 0 (x - x1)

Substitute x1 with -2, and y1 with 7 and set the slope as 0.

Y-7=0(x-(-2))

Y - 7 = 0 (x + 2)

Anything times 0 = 0, so cancel out the -2.

Y-7=0

Add the 7 to the 0.

Y = 7

solve the system using the elimination method
2x + 3y = 12
15x -3y = 39

Answers

Answer:

x=3 y=2

Step-by-step explanation:

Step one:

Add both equation

2x+3y=12

+ 15x-3y=39

___________

17x=51

x=3

Step 2: After finding the answer for x, plug it into the first equation to find the value of y

2(3)+3y=12

6+3y=12

3y=6

y=2


Indicar cuál digito está en la posición de las centenas y cuál está en la posición de las unidades.
2.698

Answers

Answer:

cantenasjajsjjsjjsjjsnnxkksnjdjidnnkjjdjjsjjjsjndnndkksjm

Write 0.00005974 in scientific notation.

Answers

Answer:

Step-by-step explanation:

For correct scientific notation, we need to have 1 number to the left of the decimal, and everything else to the right. Since our number is already less than 1, the exponent representing the number of places we move the decimal will be negative. We have to move the decimal 5 places to the right to get the 5 to the left of the decimal and everything else to the right, making this:

[tex]5.974*10^{-5[/tex]

If you were to convert it into scientific notation, you’re ANSWER would be 5.974x10^-5

PLEASE HELP ASAP!!

find the value of y.

2
2weridcheckthing2
3
6checkthing2
​

Answers

Answer:

[tex]2\sqrt{2}[/tex]

Step-by-step explanation:

A^2 + B^2 = C^2

1^1 + y^2 = 3^3

1 + y^2 = 9

y^2 = 8

y = [tex]2\sqrt{2}[/tex]

Kendra is starting a science experiment. She will grow salt crystals in a clear plastic box. The inside of Kendra's box is 9 inches long and 5 inches wide. Kendra pours salt water into the box to a height of 4 inches. What is the volume of salt water in the box?

Answers

Answer: the answer is 375.5906

Step-by-step explanation:

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