The solution of the equation by the quadratic formula are, {±2/3, ±i}
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The equation is,
⇒ 9x⁴ + 5x² - 4 = 0
Now, Put x² = y in above equation, we get;
⇒ 9y² + 5y - 4 = 0
Bu using quadratic formula as;
⇒ y = - 5 ± √5² - 4×9×- 4 / 2×9
⇒ y = - 5 ± √25 + 144 / 18
⇒ y = - 5 ± √169 / 18
⇒ y = - 5 ± 13 / 18
This gives two solution,
⇒ y = - 5 + 13 / 18
⇒ y = 8/18
⇒ y = 4/9
⇒ x² = 4/9
⇒ x = ±2/3
And, y = - 5 - 13 / 18
⇒ y = - 18 / 18
⇒ y = - 1
⇒ x² = - 1
⇒ x = ±i
Thus, The solution of the equation are {±2/3, ±i}.
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13.El área de un terreno rectangular es de 24 m2. Si el largo mide 2 m más que el ancho. A=24 m2 a) ¿Qué ecuación cuadrática resuelve el problema? b) ¿Cuáles son sus dimensiones? Largo= Ancho=
Answer:
Area = L · A = 24 m²
L = A + 2
reemplazamos:
(A + 2) · A = 24
A² + 2A - 24 = 0 ⇒ esta es la ecuacion quadratica
la solucion es: (A + 6) · (A - 4)
largo = 6 metros
ancho = 4 metros
three fourth c = five ninthe
Answer:
Step-by-step explanation:
3/4c=5/9
C=5×4/9×3
C=20/27
Which of the following cannot be simplified?
Answer:
C
Step-by-step explanation:
Answer:
c. 8x-1
Step-by-step explanation:
all of the other ones can be simplified in some way
16. A negative number x a negative number is always positive. *
true
false
nositi
Answer:
True.
Step-by-step explanation:
I don't know the explanation behind any of it, but a negative number, when multiples by another negative number, is always positive.
Complete the statement, then write the postulate you used.
Please help! I’ll give brainliest!
The sum of 324 and 135 is 503. Which number base was used for this calculation.
Answer:
Base 6 was used
Step-by-step explanation:
Here, we want to find which number base was used for the addition calculation
We start by adding the two end numbers
4 + 5 = 9
But 3 was recorded;
That means we can have 6 as the number base( 9/6 = 1 r 3)
We still continue to verify this;
The next addition is 2+3 = 5, adding the 1 brought forward, we have 6, but 0 was recorded
6/6 is (1 r 0)
This still further corroborated the earlier assertion;
then lastly 3 + 1 + 1 (1 brought forward); 5
This was recorded directly to show that the base in question is not less than 5
Hence our base of addition is base 6
solve the equation:
6= k/9
k=
PLSSSSSSSSSSSSSSSSSS HELP MEEEE
Please help with the attatched!
Answer: a + b = 40
[tex](3+\sqrt{5})(7-6\sqrt{5})=3.7+7\sqrt{5}-3.6\sqrt{5}-6\sqrt{5}.\sqrt{5}\\\\=21+6.5-11\sqrt{5}\\\\=51-11\sqrt{5}[/tex]
because [tex](3+\sqrt{5})(7-6\sqrt{5})=a+b\sqrt{5}[/tex]
=> a = 51
b = -11
=> a + b = 51 -11 =40
Step-by-step explanation:
Answer:
[tex]a = -9 - 11\sqrt{5} - \sqrt{5}b[/tex]
a = 51
b= -11
Please help! what does the quotient of x and three increased by thirty-four look like as a problem? and why?
will name the brainliest!!
Answer:
x/3 + 34
Step-by-step explanation:
The quotient of x and 3 would be written as x/3.
(I am guessing that increased means add, because multiplied would say times, by, or multiplied.)
PLEASE HELP ASAP IT IS VERRY IMPORTANT!!!
If the vertex of f(x) is (-9,-7), what is the vertex of f(x-5)+3?
Answer:The vertex is
(0,7)
Sometimes we have problems with the easier questions because it's not exactly in the form we're used to. Normally for a quadratic, you would complete the square to find the vertex. But this quadratic is already in vertex or standard form:
f(x)=−(x−0)2+7
Step-by-step explanation: Hope this helps
The sum of 8 times a number and 3 is equal to 2.
Answer:
-1/8
Step-by-step explanation:
Let's assign this "number" the variable n:
8n + 3 = 2
8n = -1
n = -1/8
Solve 6(1 − 3d) < 2(7d + 6) for d.
Answer:
e
Step-by-step explanation:
a
4 cakes and 3 doughnuts cost £11, 4 cakes and 7 doughnuts cost £23.
Work out the cost of one cake and one doughnut separately
The point (3, ) lies on the graph representing a proportional relationship. Which of the following points also lie on the same graph? Select all that apply. O A. (1,0.4) B. (1.5, 0) oc. (1, 3) OD. (4, 5) E. (15,6). PLEASE HELLPPPPP
Answer:
A)
Step-by-step explanation:
i got iititititiittiitiitititititititt
¿Cuál es el resultado? de la siguiente ecuacion 5x+2=12 *
Answer: X=2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
5x+2=12
5x= 12-2
5x= 10
x= 10/5
x=2
Solve the equation
5(4+t) = 5t + 20
Answer:
it is infinite solutions
Step-by-step explanation:
because 20+5t=20+5t even if you put any number as the variable
19 POINTS AND ILL GIVE BRAINLIEST!!
Which number is equivalent to this expression? 3+0.1+0.004
A. 314
B. 3.14
C. 3.104
D. 3.1004
Answer:
3.104 (option c)
Step-by-step explanation:
3 + 0.1 + 0.004 = 3.104
Kailey correctly graphed the opposite of –3.3 on the number line.
A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is at 3.3, and point D is at 3.9.
Which point could be the point Kailey graphed?
The number line shows that Kailey could have graphed the point C (3.3).
Number LineThe number line is the graphic representation of real numbers whose center is represented by the number zero (0). The negative numbers are on the left side of the number line, on the other hand, the positive numbers are written on the right side. See the attached image.
Opposite NumbersOpposite numbers are numbers that the distance to 0 is equal. The numbers are classified as the opposite when the sum between them is equal to zero (0).
STEP 1 - Plot the number linePlot the number line with the given limits: -5 to 5. See the attached image.
STEP 2 - Plot the given points in the number linePlot the points A, B,C an D in the number line drawn in step 1. See the attached image.
STEP 3 - Analyse the plotted number lineLike the point graphed is the opposite of -3.3, Kailey could have plotted the point C which is at 3.3 since the sum between -3.3 and 3.3 is equal to zero (0).
-3.3+3.3 =0
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The width of a rectangle is its length. The perimeter of the rectangle is 300 ft. What is the length, in feet, of the rectangle?
Answer:
It's simple. All you need to do is subtract 2 from 40.
Length: 40 ft
Width: 38 ft
Hopefully that helped! :)
Step-by-step explanation:
Guys plz help me answer this!!!!!
Answer:
y= -2x+6
Step-by-step explanation:
If ur able to use a calculator there is a slope calculator online and it's easy to use
Help me I want good grades i
When you answer on a lot of posts anf now your phone is having a notification rave-
Haha! I know how that feels
Find the missing factor D that makes the equality true.
– 15y4 = (D)(3y?)
Answer:
[tex]-15y^{4} = D(3y^{2})\\-15y^{4}/3y^{2} = -5y^{2} \\D = -5y^{2}[/tex]
Step-by-step explanation:
Can someone help me on this? Will mark brainleist if they get it right!
Answer:
2.5
Step-by-step explanation:
2500 ÷ 1000
*Sorry if this is wrong*
The
The table shows the average daily number of hours sleep of 10 children.
Age (years)
6 1 3 8 4 5 2 7 9 7
Number of hours sleep 12.5 15 13.2 11 14 12 14 11.69.8 11
The first eight results have been plotted.
a) Plot the next two points.
x
Number of hours sleep
b) What type of correlation is shown
by the graph? Negative
10
c) Draw a line of best fit.
2
4
6
8
10
Age (years)
Please help.
Answer:
C: about 10 Hours
Step-by-step explanation:
i was on the assignment and i got C correct
The missing points are (7, 11), and (9, 9.8) and the type of correlation is negative.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
Let the line of best fit is:
y = mx + c
The missing points are:
(7, 11), and (9, 9.8)
The correlation will be negative.
The line of best fit is shown in the picture.
Thus, the missing points are (7, 11), and (9, 9.8) and the type of correlation is negative.
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Find the length of side x in simplest radical form with a rational denominator.
45
6
45
X
Answer:
x = 6
Step-by-step explain
[tex]\frac{x}{6} = \frac{1}{1} \\\\x=\frac{1 * 6}{1} \\\\x= 6 \\\\Answer: 6\sqrt{2}[/tex]
Answe
Step-by-step explanation:
The Verrazano Narrows Bridge has a main span of 4,260 feet. The Akashi Kaikyo Bridge has a main span that is 53% longer. What is the length of the main span of the Akashi Kaikyo Bridge to the nearest foot?
a2,002 feet
b2,258 feet
c7,170 feet
d6,518 feet
explain
Answer:
i think it is 2,002
Step-by-step explanation:
solve the equation 4x²+4x+1=0
Answer: x = -1/2
4x² + 4x + 1 = 0
⇔ (2x + 1)² = 0
⇒ 2x + 1 = 0
⇔ x = -1/2
Step-by-step explanation:
The sum of two number is 18. 5 times the first number subtracted from 4/7bof the second number is 14. Find the number
Answer:
The numbers are [tex]-\frac{2}{3}[/tex] and [tex]18\frac{2}{3}[/tex]
Step-by-step explanation:
Let x and y be the numbers
According to the statement, "The sum of two number is 18.", first equation will be:
[tex]x+y = 18\ \ \ \ Eqn\ 1[/tex]
And according to "The sum of two number is 18. 5 times the first number subtracted from 4/7bof the second number is 14." Second equation will be:
[tex]\frac{4}{7}y-5x = 14[/tex]
Multiplying whole equation by 7
[tex]7*\frac{4}{7}y-7*5x = 7*14\\4y-35x=98\\-35x+4y = 98\ \ \ \ Eqn\ 2[/tex]
From equation 1
[tex]x+y = 18\\y = 18-x[/tex]
Putting this in second equation
[tex]-35x+4(18-x) = 98\\-35x+72-4x= 98\\-39x = 98-72\\-39x = 26\\\frac{-39x}{-39} = \frac{26}{-39}\\x = -\frac{2}{3}[/tex]
Putting x = -2/3 in equation 1
[tex]-\frac{2}{3}+y = 18\\y = 18+\frac{2}{3}\\y = 18\frac{2}{3}[/tex]
Hence, the numbers are [tex]-\frac{2}{3}[/tex] and [tex]18\frac{2}{3}[/tex]
PLEASE WILL GIVE BRAINLIEST!!
Step-by-step explanation:
Hey there!
According to the figure;
9v = 31° + 4v + 44° { The exterior angle is equal to the sum of opposite adjacent interior angles}
9v-4v = 44°+31°
5v = 75°
v = 75°/5
Therefore, v= 15°.
Hope it helps...
