Answer:
[tex]{ \bf{let \: \: { \tt{ - {x}^{2} + 5x + 24} \: \: be \: \: { \bf{{y}}}}}} \\ { \tt{y = - {x}^{2} + 5x + 24 }} \\ { \tt{y = (x + 3)(x - 8)}} \\ for \: x - intercept : y = 0 \\ { \tt{(x + 3)(x - 8) = 0}} \\ { \bf{x = - 3 \: and \: 8}}[/tex]
The factors to the given expression are -1(x+3)(x-8)
The x-intercepts are -3, 8
What do we mean by factorization?Factorization is the process in which we write an expression in its factors which when multiplied results in the original expression.
How do we factorize the given expression?We equate the given expression to f(x)
(-x² + 5x + 24) = f(x)
⇒ -1(x² - 5x - 24) = f(x)
⇒ -1(x² - (8-3)x - 24) = f(x)
⇒ -1(x² + 3x - 8x -24) = f(x)
⇒ -1(x(x+3) -8(x+3)) = f(x)
⇒ -1(x+3)(x-8) = f(x)
∴The factor to the given expression is -1(x+3)(x-8)
How do we find the x-intercepts?To find the x-intercepts we equate f(x) = 0
⇒ -1(x+3)(x-8) = 0
⇒ (x+3)(x-8) = 0
x-intercepts are the roots of the above equation.
∴ The x-intercepts occur where x = -3 and x = 8
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Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Let integers be x and x-1
ATQ
x+x-1=1[tex]\\ \sf\longmapsto 2x-1=1[/tex]
[tex]\\ \sf\longmapsto 2x=1+1[/tex]
[tex]\\ \sf\longmapsto 2x+2[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Now
[tex]\\ \sf\longmapsto x-1=1-1=0[/tex]
The integers are 1 and 0But
Integers can be x and 1-x as their sum is 1
[tex]\\ \sf\longmapsto x(1-x)=-12[/tex]
[tex]\\ \sf\longmapsto x- x^2=-12[/tex]
[tex]\\ \sf\longmapsto x^2-x-12=0[/tex]
[tex]\\ \sf\longmapsto x^2-4x+3x-12=0[/tex]
[tex]\\ \sf\longmapsto x(x-4)+3(x-4)=0[/tex]
[tex]\\ \sf\longmapsto (x-4)(x+3)=0[/tex]
[tex]\\ \sf\longmapsto x=4,-3[/tex]
Log problem below in the picture
Your answer is 2.98004491789381.
What is the value of the median ?
1. 8
2. 4
3. 6
4. -4
if tanA=12/16,find sin 2A
First, we need to draw a right triangle to represent the given trigonometric ratio. (Kindly refer to the attached photo for the figure.)
Second, we need to determine the length of the unknown side.
In this case, the unknown side is the hypotenuse. Since the length of the opposite side is 12 and the length of the adjacent side is 16, then the length of the hypotenuse is
[tex]c = \sqrt{16^{2} + 12^{2}}[/tex]
[tex]c = 20[/tex]
After this, we need to know the trigonometric identity of sin 2A in order to solve for its value.
We know that,
sin 2A = 2 sin A cos A
Then, we need to determine the values of sin A and cos A.
Based on the figure (attached photo), the values of sin A and cos A are
sin A = opposite side / hypotenuse
sin A = 12/20
sin A = 3/5
cos A = adjacent side / hypotenuse
cos A = 16/20
cos A = 4/5
Finally, we can now solve for the value of sin 2A by substituting the values of sin A and cos A to the trigonometric identity of sin 2A.
Therefore, the the value of sin 2A is
sin 2A = 2 sin A cos A
sin 2A = 2(3/5)(4/5)
sin 2A = 24/25
A rhino can run 28 miles per hour. What is that speed in feet per second, to the nearest whole number?
Answer:
A rhino runs at a speed of about 28 miles per hour.
We need to determine the speed in feet per second.
Converting miles to feet:
The miles can be converted to feet by multiplying 5280 with 28 miles per hour.
Thus, we have;
28 x 5280 = 14784028 × 5280 = 147840
Thus, the speed of the rhino in feet per hour is 147840
Converting hours to seconds:
The hours can be converted into seconds by dividing 147840 by 3600 (Because an hour has 60 seconds in a minute and 60 minutes in an hour)
Thus, we get;
Speed=\frac{147840}{3600}Speed=
3600
147840
Speed = 41.066667Speed=41.066667
Rounding off to the nearest whole number, we get;
Speed = 41
Therefore, the speed of the rhino is 41 feet per second.
Which integers could you add to −18 to get a sum that is greater than 5?
Answer:
23
Step-by-step explanation:
-18+(18+5) = 5,
so adding any integer that is greater than (18+5)=23 will give a sum that is greater than 5.
Answered by GAUTHMATH
Does anybody know the answer to this ?
Answer:
A
Step-by-step explanation:
in the figure above, x =
solve the following simultaneous linear equations by the substitution method.
3x + 4y = 1
2x + 3y = 1
[tex]\displaystyle\bf \left \{ {{3x+4y=1} \atop {2x+3y=1}} \right. => \left \{ {{x=\frac{1-4y}{3} } \atop {2x+3y=1}} \right. => \\\\\\2\cdot\frac{1-4y}{3} +3y=1\: |\times3\\\\2-8y+9y=3\\\\y+2=3\\\\y=1 \;;\:x=(1-4y):3=-1\\\\\\Answer: (-1;1)[/tex]
Someone help me asap
Answer:
A
Step-by-step explanation:
There are 270 minutes in 4.5 hrs.
divide that by 45, you get 6.
50*3^6 is 36,450
What're solutions for X^+4x-9=5x+3
Answer:
GUCCI GANG
Step-by-step explanation:
GUCCI GUCCCIII GAAAANNNGGGG
Answer:
x=-3 and x=4
Step-by-step explanation:
I assume you mean x^2 in the first part,
x^2 + 4x -9 = 5x +3
x^2 -x -12 =0
x -4
x +3
-----------------------
(x-4)(x+3) = x^2 -x -12 = 0
that gives us
x=4 and x=-3 are solutions
A menu at a local diner has 12 appetizers, 8 entrees, and 4 choice of desserts. How many different meal combinations are possible when you select one appetizer, one entrée, and one dessert from the menu?
Answer:
12* 8 * 4 = 384
Step-by-step explanation:
(d) X(-12) = 132
help me with equations
[tex]\large\bold{\underline{\underline{ x=-11}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]x \: ( - 12 )= 132[/tex]
[tex]↬ \: x = \frac{132}{ - 12} [/tex]
[tex]↬x = - 11[/tex]
Therefore, the value of [tex]x[/tex] is [tex]\boxed{ -11 }[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]x \: ( - 12) = 132[/tex]
[tex]➺ \: - 11 \: ( - 12) = 132[/tex]
[tex]➺ \: 132 = 132[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Answer:
Step-by-step explanation:
x(-12) = 132
To find the value of 'x' , divide both sides of the equation by (-12)
[tex]\frac{x*(-12)}{(-12)}=\frac{132}{-12}\\\\\\x = -11[/tex]
Covert 1.18 into a fraction
Answer:
13/11
Step-by-step explanation:
| would assume you mean 1.18 recurring, because 1.18 as a fraction is 59/50.
To work out 1.18 recurring, first we ignore the 1.0 and focus on 0.18 recurring.
If x = 0.18 recurring
100x = 18.18 recurring
99x = 18
x = 18/99
= 2/11
Now, we add on the 1.0 (11/11) to get 13/11
If (1/2)^n = 32, then what is n?
Answer:
2.32*10^-10
Step-by-step explanation:
n will change its position with 32
(1/2)^32=n
n=2.32*10^-10
What are the coordinates of the terminal point for 0 = 4pi/3
Answer:
I hope this helps. There is a link
b
So what is that distance well we know that to get to negative 4 pi over 3 we took negative pi and travelled pi over 3.. So this is just pi over 3.. So our reference angle would be pi over 3.
Step-by-step explanation:
Al sumar y/o restar números decimales, siempre se debe aplicar la norma de los signos. * 1 punto FALSO VERDADERO
Answer:
La norma de los signos es para el producto de números reales, y la norma es la siguiente.
(+)*(+) = (+)
(+)*(-) = (-)
(-)*(+) = (-)
(-)*(-) = (+)
Es decir, el producto de dos números de mismo signo es siempre positivo
El producto de dos números de distinto signo es siempre negativo.
Particularmente, para la suma esta norma no funciona (pues no está definida para la suma)
Pero en casos como:
5 - (-4)
(esto sería: "la diferencia entre cinco y menos cuatro")
notar que podemos reescribir esto como:
5 + (-1)*(-4)
Ahora podemos aplicar la norma de los signos:
5 + 4 = 9
Donde aplicamos la norma de los signos,
Podemos concluir que, si bien es una regla que aplica al producto, siempre la tenemos que tener en cuenta en cualquier operación que hagamos.
Por lo podemos concluir que la respuesta correcta es verdadero.
Guys I need help!!!
Is (1, 4) a solution to the equation y = 8x − 4?
Answer:
Yes
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)FunctionsStep-by-step explanation:
Step 1: Define
Identify
Point (1, 4)
y = 8x - 4
Step 2: Find
Substitute in point [Equation]: 4 = 8(1) - 4Multiply: 4 = 8 - 4Subtract: 4 = 4yes.
you just have to check like this: 1 is x and 4 is y.
4 = 8(1) - 4
4 = 8 - 4
4 = 4
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
fy
This graph shows a portion of an even function,
Use the graph to complete the table of values.
6
X
f(x)
-1
4
-3
-5
-6
2
DONE
2
Answer:
From top to bottom;
1,1,3,3
Step-by-step explanation:
mathematically, for an even function;
f(x) = f(-x)
what this mean is that;
f(-1) = f(1)
f(-3) = f(3)
f(-5) = f(5)
f(-6) = f(6)
so we have it that;
f(-1) = 1
f(-3) = 1
f(-5) = 3
f(-7) = 3
Can someone help me with this
Answer:
a = 17
c = 9
Step-by-step explanation:
2a + 3c = 61
3a + 5c = 96
3a = 96 - 5c (solve for 'a'. Then you can substitute)
a = 32 - [tex]\frac{5}{3}[/tex] c
2(32 - [tex]\frac{5}{3}[/tex]c) + 3c = 61 (Substitute)
64 - [tex]\frac{10}{3}[/tex]c + 3c = 61 ([tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]. So subtracting, adding a negative, leaves [tex]\frac{-1}{3}[/tex])
-[tex]\frac{1}{3}[/tex] c= -3
c = 9
2a + 3(9) = 61
2a + 27 = 61
2a = 34
a = 17
Quais são os zeros(ou raízes) da função quadrática f(x) = x² + 3x - 4? Assinale a alternativa correta. *
a) 2 e 3
b) 1 e - 4
c) 3 e 4
d) 4 e -1
Given:
The quadratic function is:
[tex]f(x)=x^2+3x-4[/tex]
To find:
The zeros of the given quadratic function.
Solution:
We have,
[tex]f(x)=x^2+3x-4[/tex]
Splitting the middle term, we get
[tex]f(x)=x^2+4x-x-4[/tex]
[tex]f(x)=x(x+4)-1(x+4)[/tex]
[tex]f(x)=(x+4)(x-1)[/tex]
For zeros, [tex]f(x)=0[/tex].
[tex](x+4)(x-1)=0[/tex]
[tex]x=-4,1[/tex]
Therefore, the correct option is (b).
What is the true solution to the logarithmic equation below?
log Subscript 4 Baseline left-bracket log Subscript 4 Baseline (2 x) right-bracket = 1
Answer:
x = 2Step-by-step explanation:
Given:
log ₄ (2x) = 1Solving for x:
2x = 4¹2x = 4x = 2Answer:
128 on edg
Step-by-step explanation:
i thought it was 2 aswell double checked it on a graphing calculator its 128
What set of transformations are applied to parallelogram ABCD to create A'B'C'D'?
Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at negative 2, 1. Second parallelogram transformed formed by ordered pairs A prime at negative 4, negative 1, B prime at negative 3, negative 2, C prime at negative 1, negative 2, D prime at negative 2, negative 1.
Reflected over the x-axis and rotated 180°
Reflected over the y-axis and rotated 180°
Reflected over the x-axis and rotated 90° counterclockwise
Reflected over the y-axis and rotated 9
Answer:
Reflected over the x-axis and rotated 90° counterclockwise
Step-by-step explanation:
Answer:
Reflected over the x‒axis and reflected over the y-axis
Step-by-step explanation: pls mark me as brainly
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 2.1
Step-by-step explanation:
We have:
[tex]\frac{x}{sin90}[/tex] = [tex]\frac{1.3}{sin38}[/tex]
=> sin38 × x = sin90 × 1.3
=> x = 1.3 ÷ sin38
=> x = 2.11155001... = 2.1
<3 Have a nice day!!
The value of x for the given triangle will be, x = 2.1.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is used to solve problems involving angles and distances and is applied in a wide range of fields such as engineering, physics, architecture, and navigation, among others.
The value of x will be calculated as,
x / sin(90) = 1.3/ sin(38)
sin38 × x = sin90 × 1.3
x = 1.3 ÷ sin38
x = 2.11155001...
x = 2.1
The value of x will bed x =2.1.
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Find the value of f(3) given f(x) = − 5x + 2
Answer:
- 13
Step-by-step explanation:
Plug 3 in for x:
-5(3)+2
Simplify :
-15+2
=-13
Answer:
-13
Step-by-step explanation:
f(x) = -5x + 2
f(3) = -5(3) + 2
f(3) = -15 + 2
f(3) = -13
solve 2x+3y=11, 2x-4y=-24 ny cross multiplication method
Fifty seven thousand nine hundred and eight
Answer:
Fifty seven thousand nine hundred and eight
57908
A condition statement is logically equivalent to a biconditional statement. true or false
Answer:
true
Step-by-step explanation:
Because a logically equivalent is the same as biconditional statement
Step-by-step explanation:
hello the answer is true, you can check but it's obviously true
A balloon is going vertically upwards at a speed of 10 ms-1 . When it was 30 m above the ground, an object is dropped from it. How long does the object take to reach the ground? (g = 10 ms-1 )
Answer:
t ≈ 3.65 s
Step-by-step explanation:
Let the distance the object travels after leaving the balloon be x.
Using Newton's equation of motion, we have;
s = ut + ½gt²
We are given;
s = 30 m
u = -10 m/s (negative because it is an upward motion)
Thus;
30 = -10t + ½(10)t²
30 = -10t + 5t²
5t² - 10t - 30 = 0
Using quadratic formula, we have;
t ≈ 3.65 s
An angle measures 16.4° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
Let one angle = A
Let the other angle = B
A + B = 180
A = B - 16.4 Substitute for A in the top equation
B - 16.4 + B = 180 Combine the left
2B - 16.4 = 180 Add 16.4 to both sides
2B = 180 + 16.4
2B = 196.4 Divide by 2
B = 196.4/2
B = 98.2
A = B - 16.4
A = 98.2 - 16.4
A = 81.8