Answer:
3
Step-by-step explanation:
3x2 +x −14 = 0 12 −4(3)(−14) = 1+168 =169 = 132
The roots of 3x² + x = 14 are real, irrational and unequal
What is Quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax² + bx +c=0 with a ≠ 0 .
Given equation is :
3x² + x = 14
3x² + x - 14=0
we have, a=3, b=1 c=-14
D= b²-4ac
= 1²-4*3*(-14)
= 1+168
= 169
As, D>0
Hence, the roots are real.
Now,
x= -b±√b²-4ac/2a
= -1±√169/2*3
=-1±13/6
x= -1-13/6 and x= -1+13/6
x= -7/3 and x= 12/6=2
Hence, the roots are real, irrational and unequal.
Learn more about quadratic equation here:
https://brainly.com/question/2263981
#SPJ2
Find the percent change from the first value to the second.
20;30
The change is (select)
Answer:
increase by 10%.
Can someone help me on this
Answer:
Y = 10 I believe
Step-by-step explanation:
To solve this we need to find what number, times 6, equals 18 - it's fairly easy to find the answer is three.
So what, minus seven, equals 3?
Solve for x and then answer
Answer:
Value of x = 70'
Step-by-step explanation:
Given:
Given quadrilateral is a cyclic quadrilateral, in a cyclic quadrilateral sum of opposite angle is 180' .
Find:
Value of x
Computation:
x' + 110' = 180'
x' = 180' - 110'
Value of x = 70'
Find the volume of a pyramid with a square base, where the perimeter of the base is 8.7\text{ ft}8.7 ft and the height of the pyramid is 9.2\text{ ft}9.2 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
696.348
Step-by-step explanation:
Answer:
14.5
Step-by-step explanation:
50% of x is 19. *reamber is means divide*
Answer:
9.5
Step-by-step explanation:
Fiona is always looking for a great deal while shopping. Her favorite jeans regularly cost 40$. She found a sale rack where all of the jeans are marked 30$. What is the percentage of the discount on jeans
Solve for X: x/5 - 7 = 2
Please give the correct answer. Thank You!
Answer:
x = 45
Step-by-step explanation:
[tex]\frac{x}{5} -7=2\\\\\frac{x}{5}=9\\\\x=45[/tex]
Help plzz I need the length of "b" and the answers and the steps to find that answer??? Plz help don't have a lot of time to submit this! Plz don’t give me a file it won’t work plz type the answer if you know it ty
Answer:
Use pythagorean theorem.
Step-by-step explanation:
The length of the shorter sides are 1 & 4
1^2+4^2=c^2
1+16=c^2
17=c^2
So, the length, rounded to the nearest whole inch, would be 4.
To find the perimeter, you need to find the side lengths first.
The short sides are 6 & 7.
6^2+7^2=c^2
36+49=c^2
85=c^2
So the length for that would be 8, in the nearest whole number.
Add all of the side lengths together.
6+7+8= 21
The perimeter is 21.
I need help math is so ACK anyone know the answer
Answer:
He should have done 8^2 + 15^2= x^2 because the hypotenuse is always the longest side and in Pythagorean theorem C represents the longest side
[tex] {x}^{2} = {(8)}^{2} + {(15)}^{2} [/tex]
[tex] {x}^{2} = 64 + 225[/tex]
[tex] {x}^{2} = 289[/tex]
[tex]x = \sqrt{289} [/tex]
[tex]x = 17[/tex]
3) Arjun was shopping for avocados, which were listed $0.90 each. He brought six avocados to the checkout lane, where he learned that there was a sale on avocados. With the discount, he was charged $4.86 before tax. What was the percent discount on each avocado?
Answer:
Step-by-step explanation:
Total discount = 6×$0.90 - $4.86 = $0.54
discount each = $0.54/6 ≈ $0.09
$0.09/$0.90 = 0.10 = 10%
what is the 3.5mi circumstances i also need help with this if you guys can help me
1.13 UNIT TEST GRAPH OF SINUSOIDAL FUNCTION PART 1
The true statements from the sinusoidal graph are:
The maximum height of the Ferris wheel is 64 ftThe radius of the Ferris wheel is 30 ftFrom the table, we have the following parameters:
Maximum height = 64 ftMinimum height = 4 ftSo, the radius (r) of the wheel is:
[tex]r = \frac{64 - 4}{2}[/tex]
This gives
[tex]r = \frac{60}{2}[/tex]
[tex]r = 30[/tex]
Also, from the table, the lowest point of the wheel is 4 ft;
The Ferris wheel is at this lowest point at 7.5 seconds and 17.5 seconds
Hence, the true statement is (c) and (d)
Read more about sinusoidal functions at:
https://brainly.com/question/2410297
Can someone plz help me
Answer:
A = 139.25 cm^2
Step-by-step explanation:
The composite shape is made up of a square with side 10 cm and a semicircle with diameter 10 cm. The area of the composite shape is the sum of the two areas. The diameter of the semicircle is the side of the square, and the radius of the circle is half of the diameter.
A = s^2 + (1/2)(pi)r^2
r = d/2 = s/2
A = (10 cm)^2 + (1/2)(3.14)(10 cm/2)^2
A = 100 cm^2 + (1/2)(3.14)(25 cm^2)
A = 139.25 cm^2
The center of a circle is located at (4, 2). A point on the circle is located at (1, 2). What is the approximate area of the circle?
Answer: 9π≈28.26 squared units
Step-by-step explanation: The distance between the two points, 3 units, is the radius. And then we use that to find the area by squaring and multiplying by pi.
A line segment drawn between points B and C on a circle forms its diameter. Point A is taken arbitrarily on the circumference of the circle, and line segments are drawn from A to B and A to C. Classify ∠BAC.(1 point)
acute angle
obtuse angle
straight angle
right angle
Answer:
Option D
A right angle
Step-by-step explanation:
in circle geometry, we have several theorems that govern angles formed by chords drawn in circles.
One of the theorems states that the angle subtended on the circumference of a circle by a chord which is drawn across the center of the circle (which is the diameter) equals 90 degrees. This means that it is a right-angle.
Analytically, we can also sketch out the problem and see that we can divide the shape formed by points BAC into an isosceles triangle. (The two radii forming the sides while the diameter forms the base). We can also run a bisector of the isosceles triangle through point A to meet the diameter. We can see that it forms two 45 by 45 degree right-angled triangles. Thus proving that angle BAC is indeed a right angle.
Which of the following is not a solution for finding the perimeter of the square?
Answer:
y
Step-by-step explanation:
y needs to provide a number
here is the question PLEASE HELP!!!!!
Answer:
What is the question?
I can't see any question.
Tell which number is greater. 0.9 or 95%
Answer: 95%
Step-by-step explanation: 0.9 = 90%
Answer will give brainliest!
Answer:
One point would be on (0,0) and the other on (1,-5)
Step-by-step explanation:
hope this helped :)
Del enunciado: " De cada 2 conejos, hay 5 gallinas" ¿cuál es la razón entre gallinas y total de animales? *
Answer:
La razón entre el número de gallinas y el total de animales es: [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
La razón es una comparación entre dos magnitudes comparables.
En otras palabras, la razón es el cociente entre dos números o dos cantidades comparables entre sí, expresado como fracción.
En este caso, la cantidad total de animales es la suma de la cantidad de conejos y la cantidad de gallinas:
2 conejos + 5 gallinas= 7 animales
Entonces la razón entre el número de gallinas y el total de animales es: [tex]\frac{5}{7}[/tex]
An electrician deposits $6000 in a bank account with 7% simple interest. What is the total balance after 4 years?
Answer: $42,000
Step-by-step explanation:
Simple Interest: I=prt
I= (6,000)(7/4)(4)
I= 42,000
Of the 1500 students at Marshall
Junior High, 38% are 7 graders.
What is the total number of 7
graders at Marshall Junior High?
Write a proportion and solve.
Answer:
36+25= 61
61/600 x 100 = 10.1 %
Step-by-step explanation: Hope This helped!!!!
8 divided by 618 ..............
Answer:
0.0129449838188
Mhanifa can you please help me with this? It’s due ASAP! Look at the picture attached. I will mark brainliest!
Answer:
8) 76°9) 88°Step-by-step explanation:
Sum of exterior angles of any polygon is 360°Exercise 8Sum of given angles:
2x + 60° + 64° + 36° + 48° = 360°2x + 208° = 360°2x = 360° - 208°2x = 152°x = 76°Exercise 9Sum of given angles:
x + 90° + 109°+ 73° = 360°x + 272° = 360°x = 360° - 272°x = 88°If using the method of completing the square to solve the quadratic equation x^2-3x+20=0x 2 −3x+20=0, which number would have to be added to "complete the square"?
Answer:
The polynomial must be added by 2.25 on each side of the equation.
Step-by-step explanation:
Let [tex]x^{2}-3\cdot x +20 = 0[/tex], we need to add each side by 2.25 to complete the square, that is, expanding the polynomial so that factor of a perfect square trinomial can be done:
1) [tex]x^{2}-3\cdot x +20 = 0[/tex] Given
2) [tex](x^{2}-3\cdot x +20) +2.25 = 2.25 + 0[/tex] Compatibility with addition/Commutative property
3) [tex](x^{2}-3\cdot x +2.25) +20 = 2.25[/tex] Commutative, associative and modulative properties.
4) [tex](x-1.5)^{2} +20 = 2.25[/tex] Perfect square trinomial/Result
Answer:
(x−21)^2=81/4
Joseph orders some pizza for himself and his friends. The cost of each pizza is £12.50, and the delivery charge is £1.50. If Joseph orders 11 pizzas, how much does Joseph pay in total?
Answer:
£139
Step-by-step explanation:
£12.50 * 11 = 137.50
137.50 + 1.50 = £139
Answer:
137.5 + 1.50 = £139
Step-by-step explanation:
Please Give brainliest
Saul's Corner Market sells large candy bars for $2 each. A bag of pretzels is $3. On Tuesday, the store sold twice
as many candy bars as Monday but the same number of pretzels. On Wednesday, the store sold the same
number of candy bars as Monday but only half the amount of pretzels. On Thursday, the store sold three times
as much as they sold on Tuesday. On Friday, the store sold 12 fewer candy bars and 5 more bags of pretzels
compared to Wednesday.
Let c represent the number of candy bars sold and p represent the number of pretzels sold on Monday. Write
an expression for each day to show the amount of money that the store brought in from candy bars and
pretzels.
1. Monday
2. Tuesday
3. Wednesday
4. Thursday
5. Friday
6. Monday through Friday
Answer:
Step-by-step explanation:
Monday: c and p
Tuesday: 2c+p
Wednesday: 2c+p/2
Thursday: 6c+3p/2
Friday: (2c-12)+(p/2+5)
Adding them all up, you get, for Monday-Friday: (13c-12)+(9p/2+5)
I'm not sure how to explain this to you though, you just follow the directions they gave, to multiply and subtract.
Hope this is helpful!
The perimeter of a rectangular field is 298 yards. If the width of the field is 63 yards, what is its length?
Answer:
The length is 86 yards.
Step-by-step explanation:
63 is the width so,
63 + 63 = 126
Now subtract this from the total perimeter,
298 - 126 = 172
and divide by 2 because there are sides with the same length
172/2 = 86
The length is 86.
Carmen y Catalina comparan la nota que obtuvieron en su examen bimestral de Aritmética y mencionan lo siguiente: Nuestras notas juntas es igual a 34 puntos, pero se sabe que Carmen obtuvo 4 puntos más que Catalina. ¿Cuál es la nota de Catalina?
Answer:
La nota de Carolina es 15 puntos.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de ecuaciones lineales que tienen más de una incógnita, relacionadas mediante las ecuaciones.
En los sistemas de ecuaciones, se debe buscar los valores de las incógnitas. Al reemplazar en las ecuaciones, deben dar la solución planteada.
En este caso se debe plantear un sistema de ecuaciones, donde las incógnitas son:
x: nota de Carolinay: nota de CarmenAmbas notas juntas es igual a 34 puntos. Expresado matemáticamente es:
x + y= 34
Se sabe que Carmen obtuvo 4 puntos más que Catalina. Esto es:
y= x + 4
Entonces el sistema de ecuaciones a resolver es:
[tex]\left \{ {{x+y=34} \atop {y=x+4}} \right.[/tex]
A través del método de sustitución debes despejar una de las incógnitas en una de las ecuaciones y sustituir su valor en la siguiente. En este caso, ya tienes despejada la incógnita y en la segunda ecuación. Por lo que sustituyes esta expresión en la primer ecuación:
x+ x+4=34
Resolviendo obtienes:
x + x= 34 - 4
2*x=30
x= 30÷ 2
x=15
Sustituyendo este valor en la segunda ecuación obtienes:
y= x+4
y= 15 +4
y= 19
Recordando que "x" representa la nota de Carolina e "y" la nota de Carmen, entonces la nota de Carolina es 15 puntos y la nota de Carmen es 19 puntos.
can u pls help im so lost
Answer:
Not sure, but technically 9y
Step-by-step explanation:
find the average of the lengths. 12 and 6 average 9 together. Then, you multiply it by the height.
NOTE: It is not 1 or 2, because you can't use those to calculate the area.