Answer:
c) k = - 2
Step-by-step explanation:
Equação de Segundo Grau:
Uma equação de segundo grau tem o seguinte formato:
[tex]ax^2 + bx + c = 0[/tex]
Em que [tex]a \neq 0[/tex]
Caso tenham potências de x maiores que dois, o termo que multiplica essas potências deve ser 0.
Neste exercício:
Tem-se a seguinte equação:
[tex](k^2 - 4)x^3 + (k-2)x^2 + 7x - 8 = 0[/tex]
Para ser do segundo grau, necessita-se que:
[tex]k^2 - 4 = 0[/tex]
[tex]k^2 = 4[/tex]
[tex]k = \pm \sqrt{4}[/tex]
[tex]k = \pm 2[/tex]
E também
[tex]k - 2 \neq 0[/tex]
[tex]k \neq 2[/tex]
A intersecção entre [tex]k = \pm 2[/tex] e [tex]k \neq 2[/tex] é [tex]k = -2[/tex], e portanto a resposta é dada pela alternativa c.
O valor de k que torna a equação uma equação de segundo grau para a equação considerada é dado por: Opção C: k = -2
What is degree of an equation?For a single variable equation, degree of an equation is the highest power the variable possess, such that its coefficient is non-zero.
A second degree equation is that equation where the maximum power involved in that equation is 2 (such that its coefficient is non-zero).
For this case, the considered equation is:
(k² – 4) x³ + ( k – 2 )x² + 7x - 8 = 0
For making it second degree, we would have to vanish the coefficient of x³, and by vanish, we mean we would like to make it 0, but simultaneously, we'd have to take care that coefficient of x² doesn't become 0 as we need it to be non-zero.
So we get two mathematical statements:
Coefficient of x³ = 0Coefficient of x² ≠ 0or
[tex](k^2 - 4) = 0\\k - 2 \neq 0[/tex]
Taking first equation, we get:
[tex]k^2 -4 = 0\\k^2 = 4\\k = \pm \sqrt{4} = \pm 2[/tex]
Thus, k = 2 or k = -2
From second statement, we get:
[tex]k -2 \neq 0\\\text{adding 2 on both the sides}\\k \neq 2[/tex]
Thus, from both the results, we conclude that k = -2 is correct choice.
Thus, the value of k that makes the equation a second degree equation for the considered equation is given by: Option C: k = -2
Learn more about second degree equation here:
https://brainly.com/question/17167165
Give one pair of supplementary angles and one pair of vertical angles shown in the figure below.
Answer:
Supplementary- 5 and 6
Vertical- 1 and 6
Step-by-step explanation:
5 and 6 are supplementary, because they make a straight line together. 1 and 6 are vertical angles, bu the vertical angles congruence theorem.
answers:
a) 74
b) 108
c)49
d)51
Answer:
51
Step-by-step explanation:
sum of exterior angles = 360
64 + 60 + 69 + 42 + x + x +23 = 360
2x + 258 = 360
2x = 360 - 258
2x = 102
x = 51
Answer:
The person below me is correct
Step-by-step explanation:
guys patulong naman.
Answer:
Step-by-step explanation:
i dont know what patulang naman but you have to make your own
-37=5w-7
w=
Please I need an answer ASP
Answer:
-6
Step-by-step explanation:
-37+7=5w
-30=5w
w=-30÷5
w=-6
Answer:
w=-6
Step-by-step explanation:
-37=5w-7
-37+7=5w-7+7 (add 7 both sides)
-30/5=5w/5 (divide both sides by 5 to remove 5 and make it equal to w)
-6=w or w=-6
To verify the answer:
5(-6)-7
-30-7
-37
6x + 8
10x
60°
A) 64°
C) 70°
B) 45°
D) 50°
2/x + 5/3 = 7/2, trynna solve for x
Answer:
x= 12/11
Step-by-step explanation:
Jonah bought a gym membership for
$20 per month. He pays an additional
$4 each time he attends a mixed
martial arts class. He has spent $108
over the last four months.
How many mixed martial
arts classes has he
attended?
Answer:
7
Step-by-step explanation:
if there is a remainder, express
Answer:
Once you have the answer in division the same way - divide, multiply, subtract, bring down and then you're going to let a remainder. Instead of writing R and then the number, you are going to take your remainder and make it the numerator of a fraction.
Step-by-step explanation:
I majored in Mathematics
A rectangular pyramid has a base that measures 8 inches by 10 inches, a height of 12 inches, and a slant height of 15 inches. Elena calculated the volume of the pyramid as shown.
Answer:
B) elena incorrectly used slant height instead of the height
Step-by-step explanation:
Which measurement is closest to the volume of the sphere in cubic inches ?
A sphere is a three-dimensional figure where the volume is given as:
The volume of a sphere = 4/3 πr³
The volume of the sphere is 3754.7 m³.
The measurement closest to the volume of the sphere is 3431.4 m³
Option B is the correct answer.
What is a sphere?It is a three-dimensional figure where the volume is given as:
The volume of a sphere = 4/3 πr³
Example:
The volume of a sphere with a radius of 2 cm is 32π/3.
We have,
The radius of the sphere = 8 m
Now,
The volume of the sphere.
= 4/3 x π x r³
= 4/3 x 22/7 x 8 x 8 x 8
= 3754.7 m³
This is closest to the 3431.4 m³
Thus,
The volume of the sphere is 3754.7 m³.
The measurement closest to the volume of the sphere is 3431.4 m³
Option B is the correct answer.
Learn more about spheres here:
https://brainly.com/question/12390313
#SPJ6
Someone help me please what is 4.3 x 20
Answer:
86
Step-by-step explanation:
Answer:
86
Step-by-step explanation:
Multiply the two numbers together as if there was no decimal, then move the decimal in the number of places that it is given in one of the factors.
THE ANSWER IS NOT B
If you can’t see the picture plz zoom in.
The box plots show Theo's math scores and language arts scores.
About 50% of Theo's scores are in which range for each subject?
60 to 85 for math: 60 to 80 for language arts
55 to 90 for math: 50 to 90 for language arts
55 to 60 for math: 50 to 60 for language arts
85 to 90 for math 80 to 90 for language arts
Answer:
B
Step-by-step explanation:
Identify the slope and the y-intercept
y = 4x-7
Step-by-step explanation:
y = 4x - 7
Comparing the given equation with y = mx + c Then
slope (m) = 4
y -intercept (c) = - 7
Hope it will help :)
Answer: the slope is negative 4
Step-by-step explanation:
because its ez
What is the verb in the following sentence? “It is too cold for ice cream.”
too
is
cold
It
Answer:
Is is the verb.
Hope u understand.... :P
Hope it helps...
Step-by-step explanation:
is because it is actually happening
cold is an ADVERB to describe something
Last week Maria ran 19 miles less than Arjun. MAria ran 8.7 miles. How many miles did Arjun run?
Answer:
22.7 miles
Step-by-step explanation:
19+8.7=22.7
Shane bought an 18 pound bag of dog food. He feeds his dog pound of dog food 5/3 for each meal. If Shane feeds his dog twice a day every day, how many days will the 18 pound bag of dog food last?
Answer:
18 pounds of dog food will last 3 days.
Step-by-step explanation:
We know that he has 18 pound of dog food and he is giving 3 pound of food twice every day, so 3 * 2 would be 6. So we need 6 pounds of dog food is being fed every day. Since we want to find out how much dog food 18 pound bag could last, you would divide 18 by 6 so 18/6 would get you 3. So we know 18 bag of dog food will last 3 days.
Fill in the missing numbers in these equations
(-2)⋅(-4.5)=?
(-8.7)⋅(-10)=?
(-7)⋅?=14
?⋅(-10)=90
Answer:
Step-by-step explanation:
(-2)*(-4.5)=9
(-8.7)*(-10)=87
-7x=14
x=14/-7=-2
?=-2
-----------------
-10x=90
x=90/-10
x=-9
Fill in the blank to make an equivalent ratio.
4:7 = ______ : 56
Answer:
4:7 = 32:56
Step-by-step explanation:
4 x 8 = 32
7 x 8 = 36
Hope this helped!
PLZZZZZ give me brainliest
Answer: 32:56
Step-by-step explanation:
because first I divided 56/7=8 and then did 4*8=32. You're welcome!!! c:
Please help!! It is the last problem I need to do before I am free!! Thank you!!!
Answer:
94 + 41 + 69 + 156= 360
up: 156
down: 69
180-156 = x = 24
I think
y - 3x = 21
x - 5y = -35
solve by substitution(show steps please)
Answer:
x=-5 y=6
Step-by-step explanation:
y-3x=21
y-3x+3x=21+3x
y=3x+21
x-5y=-35
x-5(3x+21)=-35
x-15x-105=-35
-14x-105=-35
-14x-105+105=-35+105
-14x=70
x=-5
y-3(-5)=21
y+15=21
y+15-15=21-15
y= 6
Answer:
x=5
y=6
Step-by-step explanation:
That is the answer
hiiii everyone my previous account has been deleted who knows me plz follow
Answer:
I don't know you but I can follow you if you want
. To convert the ratio of 3:5 to 5:6, which number should be added on both?
Answer:
7
Step-by-step explanation:
3:5 + 7 = 10:12
10:12 when shortened is 5:6
I will give
0.45×104
Answer:
46.8
Step-by-step explanation:
0.45*104=46.8
Amanda must read a 259−page book for her history class over the next week. Amanda has found that she can read 37 pages in a hour. Complete the table, select the appropriate graph, and enter an equation to represent the number of pages that Amanda has left to read with relation to time. Use variable x for hours.
Answer:
I dont have an answer but here is a example I hope it helps
Step-by-step explanation: Josie selected a number n. She divided n by 2 and then subtracted ½ from the result. She took
half of that result and then subtracted ½ to get the final result of 10. What is the value of n?
Let’s start by writing Josie’s first step as an expression. Dividing n by 2, then subtracting ½ from
the result would be (n/2) – ½. If we build on this expression with the information in Josie’s
second step, we get ½((n/2) – ½) – ½. Knowing the final result is 10, we can set up the equation
below, and solve for n as follows:
½((n/2) – ½) – ½ = 10
½(n/2) – ¼ - ½ = 10 (using the distributive property)
¼n – ¼ - ½ = 10 (multiplying to eliminate the parentheses)
¼n – ¾ = 10 (combining like terms)
¼n = 10¾ (adding ¾ to both sides of the equation)
n = 43 (dividing both sides of the equation by ¼)
Describe how to find the slope and y intercept of 2x+3y=6, then describe how would you graph the line.
Answer:
Step-by-step explanation:
In order to convert the standard form equation we are given now into slope-intercept form, we need to get y on one side by itself and solve for y.
Work.
2x+3y=6
-3y -3y
2x=6-3y
-6 -6
2x-6=-3y
/-3 /3
-2/3x+2=y
y=-2/3x+2
Now that it is in slope intercept form, we can identify the y intercept and slope.
y-int=(0,2), slope=-2/3
I would graph the line by first plotting the y-intercept at the point (0,2). From there, I would plot the slope by going down 2 blocks and moving 3 blocks to the right. Then I would connect the two points with a ruler to get my line since you only need two points to create a line.
Which set of ordered pairs represents y as a function of x?
a
{(0, 1), (2, 4), (5, -1), (2, 5)}
b
{(1, 1), (2, 2), (3, 3), (1, 0)}
c
{(4, 1), (4, 2), (4, 3), (4, 4)}
d
{(1, 4),(2, 4), (3, 4), (4, 4)}
Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 10 miles, how much will her mother donate?
Find the value of x.
x =
Enter the number that belongs in
the green box.
Please helppp
Answer:
x=67°
Step-by-step explanation:
Sum of all angles is 180°
36°+77°+x=180°
113°+x=180°
x=180°-113°
x=67°
Bro this is right answer plzzz mark me as brainliest★
What is the area of this parallelogram?
4.9 cm²
12.25 cm²
17.15 cm²
24.01 cm²
Parallelogram A B C D is composed of a square and two triangles. The square has a length and height of 3.5 centimeters each. There are two identical triangles. Each triangle has a base of 1.4 centimeters and a height of 3.5 centimeters.
Answer:
17.15
Step-by-step explanation:
Answer:
17.15cm
Step-by-step explanation:
I did the quiz and got it right (K12)
Help! 1/6 of 2 yards is how many feet?
Answer:
1 foot
Step-by-step explanation:
1 yard = 3 ft
[tex]2*1 yard= 2*3feet[/tex]
2 yards = 6 feet
[tex]\frac{1}{6}[/tex] (2 yards) = [tex]\frac{1}{6}[/tex] (6 feet)
So, [tex]\frac{1}{6}[/tex] of 2 yards is 1 foot.