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
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
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)
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.
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
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)
guys patulong naman.
Answer:
Step-by-step explanation:
i dont know what patulang naman but you have to make your own
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.
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.
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
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:
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:
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
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:
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:
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.
I will give
0.45×104
Answer:
46.8
Step-by-step explanation:
0.45*104=46.8
. 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
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
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
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★
-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
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.
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)}
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
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?
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:
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:
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
