Answer: -1 + or - root5
Step-by-step explanation:
The other zeros of function m(x) = x^3 + 3x^2 - 2x - 4 are x = 2, x = -2
Zero of a function:To find the zero of a function f(x), we need to find the value of f(0).
What is trinomial?"A trinomial is a polynomial consisting of three terms."
For given question,
Given function : m(x) = x^(3) + 3x^(2) - 2x - 4
We need to find the zeros of a function.
to find the value of x for which m(x) = 0
x^(3) + 3x^(2) - 2x - 4 = 0
We know, x = -1 is a zero of given function.
So, (x + 1) is the factor of given trinomial x^(3) + 3x^(2) - 2x - 4 = 0.
To factorize above trinomial we divide it by x + 1.
Using synthetic division,
m(x)/(x + 1)
= (x^(3) + 3x^(2) - 2x - 4)/(x + 1)
= x^(2) + 2x - 4
So, x^(3) + 3x^(2) - 2x - 4 = (x + 1)(x^(2) + 2x - 4)
Now, to find other zeros of a function we solve the quadratic equation x^(2) + 2x - 4 = 0
⇒ x^(2) + 4x - 2x - 4 = 0
⇒ x(x + 2) - 2(x + 2) = 0
⇒ (x + 2)(x - 2) = 0
⇒ x + 2 = 0 or x - 2 = 0
⇒ x = -2 or x = 2
This means, x = -2 and x = 2 are other zeros of a function.
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-7 ≤ x+2 / 4
solve pleeeeeeeeeeeeeeaaaaaaaaaaaaaaseeeeeeeeeeeeeeeeeeee
Answer:
x ≥ 15/2 im pretty sure
Step-by-step explanation:
reduce the fraction: -7 ≤ x + 1/2. move the terms: -x ≤ 1/2 + 7 calculate the sum: -x ≤ 1/2 + 7 = -x ≤ 15/2 and change the signs: x ≥- 15/2.
find the measure of each angle acute angle in a right triangle where the measure of one acute angle is twice the difference of the measure of the other acute angle and 12
Answer:
The measures of the acute angles are 38 and 52 degrees.
Step-by-step explanation:
In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles [tex]a[/tex] and [tex]b[/tex].
[tex]a + b +90 = 180[/tex]
The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:
[tex]a = 2(b-12)[/tex]
Now we have two equations. If we simplify them, we get these:
[tex]\left \{ {{a=90-b} \atop {a=2b-24}} \right.[/tex]
Now you can substitute [tex]a[/tex] in the first equation for [tex]a[/tex] in the second equation
[tex]90-b=2b-24[/tex]
Add [tex]b[/tex] to both sides of the equation
[tex]90 = 3b-24[/tex]
Add [tex]24[/tex] to both sides
[tex]114 = 3b[/tex]
Divide both sides by 3
[tex]38 = b[/tex]
Now, you can substitute [tex]38[/tex] for [tex]b[/tex] in the first equation and simplify.
[tex]a = 90-38[/tex]
[tex]a=52[/tex]
Therefore,
[tex]a=52[/tex], and [tex]b=38[/tex]
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The value of the angles are 38° and 52° respectively
Let the acute angles be represented by a and b.
Based in the information given,
a = 2(b - 12)
a = 2b - 24.
Note that the angle in an acute angle equals to 90°.
Therefore,
a = 90 - b.
a = 2b - 24
Equate the equations together
90 - b = 2b - 24
2b + b = 90 + 24
3b = 114
b = 114/3
b = 38
Therefore, a will be:
= 90° - 38° = 52°
The value of the angles are 38° and 52° respectively.
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Will give brain list!!! I need helppp! And show workk
Answer:
Dude! Stop telling people to do your work on DeltaMath
Step-by-step explanation:
heres another one.
for brainliest
Answer:
Max made a mistake in step 5.
He should have used division instead of multiplication.
Step-by-step explanation:
In step #5, he made the mistake of multiply 5/6 by 5/6. The reason why this doesn't work is because y is not a full y. When there isn't a number beside a variable, it is implied that it is 1y. To solve for y, you need 1y or else results or inaccurate.
In reality, 5/6 * 5/6 is equal to 25/36. If you divided 5/6 by 5/6, it is equal to 1, which makes y a full y.
Answer:
he made a lot of mistakes, but i'd say he used division instead of multiplication in step 5
(but the biggest mistake was adding 1/6 to both sides instead of multiplying by it)
Step-by-step explanation:
will mark brainliest
Answer:
3rd answer
Step-by-step explanation:
i think
which relationship between x and y in the equation shows a proportional relationship
A. y=3x
B. y=x-2
C. y=5x+3
D. y=5 (x+3)
Answer:
The equation y = 3x shows a proportional relationship between x and y
Step-by-step explanation:
The proportional relationship is represented graphically by a line passes through the origin point The equation of the proportional relationship is y = m xLet us solve the question
Substitute x by 0 to find the value of y, if y = 0, then the line represents this equation passes through the origin point, then the equation shows a proportional relationship
∵ y = 3x
∵ x = 0
∴ y = 3(0)
∴ y = 0
→ That means the line that represents the equation passes through
the origin point
∴ The equation y = 3x shows a proportional relationship between x and y
Round 431,857 to the nearest ten thousand
Answer:
i don' think you can
Step-by-step explanation:
List three different combinations of coins, each with a value of 30% of a dollar.
Three lines of crops in a garden form a triangular shape. Strawberries are planted in a 10 ft line and green beans are planted in an 18 ft line. If the third side, a line of pumpkins, makes an 68 degree angle with the strawberries, determine the length of the pumpkins.
Answer:
[tex]p = 19.18[/tex]
Step-by-step explanation:
This question is illustrated using the attachment and will be solved using cosine formula
[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]
Let the strawberry side be s, the Green beans be b and the pumpkins be p.
The cosine formula in this case is:
[tex]g^2 = s^2 + p^2 - 2spCosG[/tex]
Where
[tex]s = 10[/tex]
[tex]g = 18[/tex]
[tex]<G =68[/tex]
The equation becomes
[tex]18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68[/tex]
[tex]324 = 100 + p^2 - 20 * p * 0.375[/tex]
[tex]324 = 100 + p^2 - 7.5p[/tex]
Collect Like Terms
[tex]p^2 - 7.5p + 100 - 324 = 0[/tex]
[tex]p^2 - 7.5p - 224 = 0[/tex]
Using quadratic formula:
[tex]p = \frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
Where
[tex]a = 1[/tex]
[tex]b = -7.5[/tex]
[tex]c = -224[/tex]
[tex]p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}[/tex]
[tex]p = \frac{7.5\±\sqrt{56.25+896}}{2}[/tex]
[tex]p = \frac{7.5\±\sqrt{952.25}}{2}[/tex]
[tex]p = \frac{7.5\± 30.86}{2}[/tex]
[tex]p = \frac{7.5 + 30.86}{2}[/tex] or [tex]p = \frac{7.5 - 30.86}{2}[/tex]
[tex]p = \frac{38.36}{2}[/tex] or [tex]p = \frac{-23.36}{2}[/tex]
[tex]p = 19.18[/tex] or [tex]p = -11.68[/tex]
But length can not be negative.
So:
[tex]p = 19.18[/tex]
IM BEING TIMED HELPP!!!!!!
Jada is buying 4 stamps that cost $0.49 each. How can rounding be used to estimate the total cost of the stamps? Since each stamp is about $0.50, the total cost is approximately 4 +0.5 = $4.50. 0 Since she is buying about 10 stamps, the total cost is approximately 10 × 0.49 = $4.90. Since each stamp is about $0.50, the total cost is approximately 4 x 0.5 = $2.00. O Since she is buying about 10 stamps, the total cost is approximately 10 + 0.49 = $10.49.
Answer:
ummm maybe $4.90, i don't really know how to incorporate rounding in this
What is the equation of the line that passes through the point (-8,−7) and has a slope of 11?
Answer:
-7=11*-8+b
-7=-88+b
+88 both sides
81=b
y=11x+81
Square P and Square Q are similar squares. The ratio of the side length of Square P to the side length of Square Q is 2:7. if the side length of Square P is 3.5 inches, what is the perimeter of Square Q?
Answer:
3.5 sq
Step-by-step explanation:
Answer:
49 inches
Step-by-step explanation:
Perimeter of square Q is 49 inches.
Let x be the length of side of square P and y be that of square Q.
It is given in the question that :
x\y = 2\7
Also it is given that x=3.5 inches. Hence
3.5/y = 2/7
∴ y=12.25 inches.
Perimeter of square Q is 4y = 4 × 12.25 = 49 inches
PLEASE HELP ASAP. WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!
Point B is halfway between A and C. The distance from C to D is the same as the distance from D to E, which is the same as the distance from E to F. The area of triangle ACF is 180 cm2. How many square centimeters is the shaded area of triangle BCE?
Answer:
the area of a regular hexagon is A=(3√3/2)a², a is the side length.
so A=(3√3/2)*5.2²=70.25
C is the correct answer
Step-by-step explanation: Hope this helps:)
Answer:
3
Step-by-step explanation: Hope this help u
In the point (3, 4), which value represents the y-coordinate? *
3
Answer:
4
Step-by-step explanation:
(x,y)
Answer:
4 :)
Step-by-step explanation:
(x,y) so (3,4) would make 4 the y
pls help ill mark brainliest
Answer:
The answer is B. No only Zack will finish.
Step-by-step explanation:
A function is represented by the values in the table.
Are these linear or nonlinear? (2,4) (4,8) (5,10) (7,14) (8,16) will mark brainliest
Answer:
These are linear. These values can all match the function y = 2x.
There are 8 rows and 8 columns, or 64 squares
on a chessboard. Suppose you place 1 penny on
Row 1 Column A, 2 pennies on Row 1 Column
B, 4 pennies on Row 1 Column C, and so on ...
Complete Question:
There are 8 rows and 8 columns, or 64 squares on a chessboard.
Suppose you place 1 penny on Row 1 Column A,
2 pennies on Row 1 Column B,
4 pennies on Row 1 Column C, and so on …
Determine the number of pennies in Row 1
Determine the number of pennies on the entire chessboard?
Answer:
255 in the first row
18,446,744,073,709,551,615 in the entire board
Step-by-step explanation:
Given
[tex]Rows = 8[/tex]
[tex]Columns = 8[/tex]
Solving (a): Number of pennies in first row
The question is an illustration of geometric sequence which follows
[tex]1,2,4....[/tex]
Where
[tex]a =1[/tex] --- The first term
Calculate the common ratio, r
[tex]r = \frac{T_2}{T_1} = \frac{4}{2} = 2[/tex]
The number of pennies in the first row will be calculated using sum of n terms of a GP.
[tex]S_n = \frac{a(r^n - 1)}{n - 1}[/tex]
Since, the first row has 8 columns, then
[tex]n = 8[/tex]
Substitute 8 for n, 2 for r and 1 for a in [tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
[tex]S_8 = \frac{1 * (2^8 - 1)}{2 - 1}[/tex]
[tex]S_8 = \frac{1 * (256 - 1)}{1}[/tex]
[tex]S_8 = \frac{1 * 255}{1}[/tex]
[tex]S_8 = 255[/tex]
Solving (b): The entire board has 64 cells.
So:
[tex]n = 64[/tex]
Substitute 64 for n, 2 for r and 1 for a in [tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
[tex]S_{64} = \frac{1 * (2^{64} - 1)}{2 -1}[/tex]
[tex]S_{64} = \frac{(2^{64} - 1)}{1}[/tex]
[tex]S_{64} = \frac{(18,446,744,073,709,551,616 - 1)}{1}[/tex]
[tex]S_{64} = \frac{18,446,744,073,709,551,615}{1}[/tex]
[tex]S_{64} = 18,446,744,073,709,551,615[/tex]
Se tienen 224 plumas de color negro y 420 de color rojo. Se quiere ponerlas en cajas iguales, de tal manera que cada caja tenga plumas de un sólo color. ¿Cuántas plumas se deben poner en cada caja para que se utilice el menor número posible de cajas? ¿Cuántas cajas se necesitan?
Answer:
La cantidad de plumas que se deben poner en cada caja para que se utilice el menor número posible de cajas es 28.
Requieres 8 cajas con plumas de color negro y 15 cajas con plumas de color rojo, necesitando 23 cajas en total.
Step-by-step explanation:
El divisor común es un número que es divisor a la vez de dos o más números, es decir, es un divisor común a esos números.
Por lo que se denomina máximo común divisor o M.C.D al mayor número que divide exactamente a dos o más números a la vez. En otras palabras, el Máximo Común Divisor es el mayor de los divisores comunes de varios números.
Para calcular el M.C.D, se descompone cada uno de ellos en factores primos. El M.C.D. es el resultado de multiplicar los factores que se repitan en todas las descomposiciones, afectados por el menor exponente.
En este caso, los números 224 y 420 se descomponen en:
224= 2⁵*7
420= 2²*3*5*7
Entonces, el M.C.D entre 224 y 420 es calculado como 2²*7, que da como resultado 28. Esto indica que la cantidad de plumas que se deben poner en cada caja para que se utilice el menor número posible de cajas es 28.
Para el calculo de cantidad de cajas que se necesitan, primero es necesario saber cuántas cajas de cada color de plumas se necesitan. Para eso, debes dividir la cantidad de plumas que tienes por la cantidad de cajas por las que debes repartirlo:
224 plumas negras÷ 28= 8
420 plumas rojas÷ 28= 15
Por lo que requieres 8 cajas con plumas de color negro y 15 cajas con plumas de color rojo, necesitando 23 (8+15) cajas en total.
At the book store, you purchased some $3 clearance mystery books and $8
regular-priced science fiction books. How many of each did you buy if you spent a
total of $77?
Answer:
15 of $3 books and 4 of the $8 books
Step-by-step explanation:
15×3= 45
8 × 4= 34
45+32= 77
0.56 divided by 9. I'm just wondering so I can answer my sister
Answer:
0.062 or in fraction form 14/225
Step-by-step explanation:
Answer:
0.062222222
Step-by-step explanation:
PLEASE ANSWER ASAAP TODAY WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
This graph shows the temperature on a winter night over time.
How many °F does the temperature decrease by every 1 hr?
Enter your answer in the box.
____ °F
What is the percent of change if 18 is increased to 45? Round your answer to the
nearest percent.
THE PERCENT OF CHANGE IS
% INCREASE
Answer:
150%
Step-by-step explanation:
% change = change/original x 100
45-18 = 27
27/18 x 100 = 150
The percent of change if 18 is increased to 45, to the nearest percent, is calculated as: 150%.
How to Calculate the Percent of Change?To calculate the percent of change when 18 is increased to 45, we can use the formula:
Percent of change = ((New value - Initial value) / Initial value) * 100
Let's plug in the values and calculate the percent of change:
Percent of change = ((45 - 18) / 18) * 100
Percent of change = (27 / 18) * 100
Percent of change = 1.5 * 100
Percent of change = 150
Therefore, the percent of change is 150%, indicating a 150% increase.
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Multiply. What is the value of the second partial product?
26 × 107
Answer:
Below
Step-by-step explanation:
(20*100)+(20*7)+(100*6)+(7*6)
Plsssssssssssssssssssssssssssssssssssss
Answer:
(-4, 3) 2nd quadrant.
Step-by-step explanation:
What is the common difference of the arithmetic sequence? 2,5,8,11,14...
The common difference is 3.
14-11=3
11-8=3
8-5=3
5-2=3
You can see here that the difference between two consecutive numbers in this sequence are all 3.
The machine can produce 168 leaflets in 8 minutes. How many can it produce in an hour
Answer:
1260
Step-by-step explanation:
168 ÷ 8= 21
21 x 60 = 1260
Have a good day can I get a brainiest if right please? :3 Byeee!
A student has a container with a volume of 0.5 liter.She estimates the volume to be 0.4 liter. By what percent is the student's estimate off?
Answer:
20%
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Darwin's coach recorded that he had bowled 250 points out of 300 in a bowling tournament. However, the official
scoreboard showed that Darwin actually bowled 225 points out of 300
What is the product of 5 and 2/3
Answer:3 1/3
Step-by-step explanation:5/1 x 2/3=10/3=3 1/3
If a car travels 300 miles on 15 gallons of gas, how far can it travel on 90 gallons?
Answer:
1800
Step-by-step explanation:
because 15 goes into 90 6 times and 300 times 6 is 1800
Answer:
1800 miles
Step-by-step explanation:
300 miles on 15 gallons
90/15=6
6 times 300=1800
