Answer:
x = 5 or -2
Step-by-step explanation:
The general quadratic formula is expressed as;
ax²+bx+c = 0
Given
x² - 3x -10 = 0
a = 1, b = -3 and c = -10
x = -(-3)±√(-3)²-4(1)(-10)/2(1)
x = 3±√9+40/2
x = 3±√49/2
x = 3±7/2
x = 3+7/2 or 3-7/2
x = 10/2 or -4/2
x = 5 or -2
By Factorization
x² - 3x -10 = 0
x² - 5x+2x -10 = 0
x(x-5)+2(x-5) = 0
(x-5)(x+2) =0
x - 5 =0 and x+2 = 0
x = 5 or -2
Which function's graph has a period of 2?
O A. y = cos -
y = cos(x - 22
O B. y = 2 sinax
O C. y = 3cosx
O D. y = -4 sin 2x
Answer:
I BELIEVE ITS C {^_^}
Step-by-step explanation:
The trigonometric function y = 3cos(πx) has a period 2.
What are periodic functions?A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.
Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.
a is the function's amplitude.
The function's wavelength is b.
The phase shift of a function is c.
We already know that y = cosx has a 2 period.
The period is calculated as T= 2π/b and if T = 2.
y = 3cosx
2=2π/b
b= 2π/2 = π.
learn more about trigonometric functions here :
https://brainly.com/question/6904750
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What the midpoint ?
The midpoint formula:
[tex] \large \boxed{( \frac{x_2 + x_1}{2} , \frac{y_2 + y_1}{2} )}[/tex]
From the graph, the point starts from (-3,2) and ends at (4,-1).
Substitute these points in the formula.
[tex] \large{( \frac{ - 3 + 4}{2} , \frac{2 - 1}{2}) = ( \frac{1}{2} , \frac{1}{2} )}[/tex]
Hence the midpoint is (1/2,1/2)
Answer
(1/2,1/2) is the midpoint.i don’t understand help me pls
Answer:
AC = 7.42
Step-by-step explanation:
Draw a picture!
∠ACB = 90 - 38 = 52º
Use Law of Sines
AC/sin38 = 9.5/sin52
AC = 9.5/sin52 * sin38
Use calculator
AC = 7.422213451813815
AC = 7.42 Rounded to 3SF
Can someone help me with this. Will mark brainliest. Thank you.
Answer:
∠SVU = 49°
Step-by-step explanation:
∠SVU is an inscribed angle and arc SU is the arc it intercepts
If you didn't know an inscribed angle is equal to half the measure of its intercepted arc.
Hence ∠SVU = arc SU / 2
if arc SU = 98
Then ∠SVU = 98/2 = 49
Find the sum of the given arithmetic series.
24 + 17 + 10 + 3 + ... + (-39)
Answer:
-75
Step-by-step explanation:
-39 = 24 +(n-1)(-7)
-39 = 24 +7-7n
-39 = 31-7n
7n = 31+39
7n=70
n=10
the sum = 10/2 × (24-39)
= 5 × -15
= -75
what us the midpoint of A(-8,2) and B(4,-2)
Answer:
(-2 , 2)
Step-by-step explanation:
A(-8 , 2) = (x1 , y1)
B(4 , -2) = (x2 , y2)
midpoint = (x1 + x2/2 , y1 + y2/2)
=(-8 + 4/2 , 2-(-2)/2)
=(-4/2 , 2+2/2)
(-2 , 2)
(3 , 7) = (x1 , y1)
(9 , 2) = (x2 , y2)
distance of PQ = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(9 - 3)^2 + (2 - 7)^2}[/tex]
=[tex]\sqrt{(6)^2 + (-5)^2}[/tex]
=[tex]\sqrt{36 + 25}[/tex]
=[tex]\sqrt{61}[/tex]
=7.8 unit
Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.
y=x2−4x+1
y=x−3
Answer: (1,-2) , (4,1)
Step-by-step explanation:
Given
The two curves are [tex]y=x^2-4x+1[/tex] and [tex]y=x-3[/tex]
From the figure, it observed that the two curves intersect at (1,-2) and (4,1).
So, the ordered pair from least to greatest is (1,-2) and (4,1)
Choose the expression that represents a linear expression 6x+6. -6x^2+8x-9. 8x^3+9x^2-10x+11. 7x^4-8x^3+9x^2-10x+11
Answer:
[tex]6x + 6[/tex]
Step-by-step explanation:
a linear expression is the form
[tex]y = mx + b[/tex]
Can someone help me? It's urgent and thank you!
Also pls look at the other 2 pictures!
Answer:
14x^3 LCD
(35x+4) / 14x^3
Step-by-step explanation:
5 /2x^2 + 2 / 7x^3
We need to find the least common denominator
2x^2 =2 *x*x
7x^2 = 7*x*x*x
x*x is common so we need to multiply that by 2*7*x
The least common denominator is 2*7*x*x*x = 14 x^3
To add the two, multiply to get the common denominator)
5/2x^2 * (7x/7x) + 2/7x^3 *(2/2)
35x/14x^3 + 4/14x^3
(35x+4) / 14x^3
Will
Give
Brainlist
Write the sentence as an equation
The quotient of -112 and 8 amounts to -14
Answer: -112/8=-14
Step-by-step explanation: Quotient means to divide.
help -------------------------------
Answer:
E + F = 2c² + 5c + 4
Step-by-step explanation:
[tex]E = 6c^2 - 2c - 1 \\\\F = -4c^2 + 7c +5\\\\E + F = (6c^2 - 2 c -1) + ( -4c^2 + 7c +5)[/tex]
[tex]=(6c^2 -4c^2) +(-2c + 7c) + (-1 + 5)[/tex] [tex][\ arranging \ terms\ ][/tex]
[tex]= 2c^2 + 5c + 4[/tex]
___________________________________
Let's Solve it!Given that:[tex]\quad\quad\quad\quad\tt{E = 6 {c}^{2} - 2c - 1}[/tex]
[tex]\quad\quad\quad\quad\tt{ F = - 4 {c}^{2} + 7c + 5}[/tex]
Formula:[tex]\quad\quad\quad\quad\tt{E + F = ?}[/tex]
Solution:[tex]\quad\quad\quad\tt{(6 {c}^{2} - 2c - 1) + ( - 4 {c}^{2} + 7c + 5)}[/tex]
Step by step:[tex] \quad\quad\quad\quad\tt{ ⟶(6 {c}^{2} ) + ( - 4 {c}^{2}) = \boxed{ \pink{2 {c}^{2} }}}[/tex]
[tex] \quad\quad\quad\quad\tt{ ⟶ ( - 2c) + ( 7c) = \boxed{ \pink{5c }}}[/tex]
[tex] \quad\quad\quad\quad\tt{ ⟶ ( - 1) + ( 5) = \boxed{ \pink{4 }}}[/tex]
Now, it will look like this:[tex] \quad\quad\quad\quad\tt{E + F =2 {c}^{2} + 5c + 4 }[/tex]
So, E + F is equal to:[tex] \quad\quad\quad\quad\tt{\boxed{ \boxed{ \color{magenta}{ 2 {c}^{2} + 5c + 4 }}}}[/tex]
___________________________________
#CarryOnLearning
✍︎ C.Rose❀
I need to find the measure please help
Answer:
44 degrees
Step-by-step explanation:
The angles x + 2 and x are complementary; they sum up to 90 degrees.
Thus, x + 2 + x = 90 degrees, or:
2x = 88, or
x = 44.
The value of x is 44 degrees.
-5+(-4)
Adding and subtracting intergers
Answer:
9
Step-by-step explanation:
Integer
Please, help. I need to prove this.
Answer:
2. angle BAD is equal to angle DCB?
3. angle CBA is equal to angle ADC, then
4.triangle BEA is equal to triangle DEC and triangle BEC is equal to DEA
Step-by-step explanation:
since line BCD is equal to line DAB
AND line CBA is equal to line ADC
and because BEA triangle equals DEC, angles BEA and DEC are congruent
and angle BEC is equal to DEA
and yeah your right, it would be supplementary.
Solve the problem correctly and show ur work
1 . 3/5 ( 15x + 30 )
Answer:
9(x + 2)
Step-by-step explanation:
3/5(x+30)
multiply fractions
3(15x + 30)/5
factor 3(15x + 30) = 45(x + 2)
divide the numbers
45(x + 2)/5
45/5=9
= 9(x + 2)
Answer:
9x + 18
Step-by-step explanation:
[tex]\frac{3}{5} ( 15x + 30 )[/tex]
9x + 18
MATH HELP PLEASE! Last question due in 20 minutes
9514 1404 393
Answer:
all space diagonals meet in the center of the prism
Step-by-step explanation:
The center of the prism is halfway between any pair of parallel faces. The dimension to it is half the dimension between the faces.
One way to find it is by seeing where the space diagonals meet.
I need help understanding these it’s my school work
Answer:
I believe that
1) Isosceles, acute
3) Scalene, obtuse
5) Isosceles, right
7) Equilateral, acute
Step-by-step explanation:
This should help in the future. :)
please help guys
Thankyou!
Name the marked angle in 2 different ways.
Answer:
∠GIH or ∠HIG
Explanation:
Just make sure the vertex of the angle is the middle letter. In this case, it is I.
Any help on this anyone. ?
Answer:
CDEF and GHIJ
Step-by-step explanation:
This prism is composed by parallelograms. A parallelogram is composed by two pairs of parallel lines
two parallelograms that are parallel can be: CDEF and GHIJ
Me fui a Cacao Show a comprar bombones blancos y bombones de chocolate negro: Si compro,2 bombones de chocolate negro y 5 de chocolate blanco esa suma nos da $40. Si compro 4 bombones de chocolate negro y 2 de chocolate blanco gasto $26. ¿Cuánto cuesta cada Bombón negro? Y los de chocolate blanco, cúanto cuesta la unidad?
Answer:
Cada bombón negro cuesta $3,125 y cada bombón blanco cuesta $6,75
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en ambas ecuaciones. Es decir, resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
Si compro 2 bombones de chocolate negro y 5 de chocolate blanco, la suma da $40. Si compro 4 bombones de chocolate negro y 2 de chocolate blanco, gasto $26. Siendo:
x: precio de cada bombón de chocolate negroy: precio de cada bombón de chocolate blancoEntonces el sistema de ecuaciones a resolver es:
[tex]\left \{ {{2*x+5*y=40} \atop {4*x+2*y=26}} \right.[/tex]
El método de sustitución consiste en aislar en una ecuación una de las dos incógnitas para sustituirla en la otra ecuación.
Entonces, aislando la variable x de la primer ecuación:
[tex]x=\frac{40-5*y}{2}[/tex]
Sustituyendo en la segunda ecuación:
[tex]4*\frac{40-5*y}{2}+2*y=26[/tex]
Resolviendo:
[tex]\frac{4}{2}* (40-5*y)+2*y=26[/tex]
2* (40-5*y)+2*y=26
2*40- 2*5*y+2*y=26
80- 10*y+2*y=26
- 10*y+2*y=26 -80
-8*y= -54
y= (-54)÷ (-8)
y= 6,75
Reemplazando en la expresión [tex]x=\frac{40-5*y}{2}[/tex], se obtiene:
[tex]x=\frac{40-5*6,75}{2}[/tex]
[tex]x=\frac{40-33,75}{2}[/tex]
[tex]x=\frac{6,25}{2}[/tex]
x= 3,125
Entonces, cada bombón negro cuesta $3,125 y cada bombón blanco cuesta $6,75
if f(x)=2x+1 and g(x)=x^2-7 find (f/g)(x)
Step-by-step explanation:
f(x)=2x+1 and g(x)=x²-7
(f/g)(x) = (2x+1)/(x²-7)
Answer:
pls answer my questions plsss
Please help me solve my problem!!!
Answer:
The answer to this problem is True.
Find the missing side length, and enter your answer in the box below. If necessary, round your answer to 2 decimal places.
Answer:
75
Step-by-step explanation:
87°
Step-by-step explanation:
We know that sum of angles of triangle is 180 ° .
Let as assume that the length of missing side be x.21° + 72° + x = 180°
combine like terms
93 ° + x = 180 °
Subtract 93 ° from each side
93° - 93° + x = 180° - 93°
x = 87 °
Please, I am begging. I don't understand inverses.
Answer:
0
9
-2
-23
Step-by-step explanation:
a function f(x) defines a y-value for any valid x-value.
that's why it is often written as y = f(x).
the inverse function of an original function just turns the question upside down.
now we want to see for a given y-value of the original function, what was the original x-value to get this y.
therefore we try to transform the original equation that calculates y out of x into one that calculates x out of y.
so, in our example
f(x) = y = -4x - 3
4x + y = -3
4x = -y - 3
x = (-y - 3) / 4
in order to keep the usual terminology with functions also for inverse functions, which are in the end nothing else than functions again, we then name the input variable "x" again, and the result "y".
so, the inverse function is therefore as a function of x
y = (-x - 3) / 4
for x = -3, y = (--3 - 3) / 4 = (3-3) / 4 = 0
when we have y for the inverse function looking for its corresponding x value, then we are investing the inverse function and come back to the original function.
so, for y=-3 of the inverse function that means x=-3 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.
f(-3) = -4×-3 - 3 = 12 - 3 = 9 = x of the inverse function.
for x=5 of the inverse function, y = (-5-3)/4 = -8/4 = -2
for y=5 of the inverse function that means x=5 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.
f(5) = -4×5 - 3 = -20 - 3 = -23 = x of the inverse function.
Micheal is collecting sea glass from the beach. He begins with 14 pieces in his collection and adds 2 new pieces each day. Determine how may days it will Micheal to have 80 pieces of sea glass in his collection.
Answer:
It would take Micheal 22 days.
Step-by-step explanation:
The end goal is to have 80 and we begin with 14
So, 80 - 14 = 66 pieces left to collect
If he collects 3 per day we'll divide 66 by 3, which equals 22
Therefore it takes him 22 days
What is a name for the marked angle?
Chose 1 answer
<EAD (2nd option)
The angle (going clockwise) goes from the line with point E on, to point A, to the line with point D on.
Not a fan of how they're naming the angles (seems messy to me) but yeah it's the 2nd one
The median of the data set is?
Answer:
60 is the median
Step-by-step explanation:
Pls help ASAP I’m so lost with this and I need this done quick
Answer:
the slope of the graph is 3/2
Step-by-step explanation:
In parallelogram KLMN if LP=7 find LN.
Answer:
LN = 14
Step-by-step explanation:
diagonals of a parallelogram bisect each other so
LN = 2LP
LN = 2*7
LN = 14