Answer:
12 or 15Step-by-step explanation:
Let the first term is a and common difference is d.
Given:
a, a₅ and a₁₀ form a GP ⇒ a₅/a = a₁₀/a₅a₂ + a₈ = 30a = ?Use the equation of nth term:
a₅ = a + 4da₁₀ = a + 9da₂ = a + da₈ = a + 7dAccording to the given we have:
(a + 4d)² = a(a + 9d) a² + 8ad + 16d² = a² + 9ad16d² = add(16d - a) = 01. d = 0or
2. a = 16dNow, use the equation of sum:
a + d + a + 7d = 302a + 8d = 30a + 4d = 15a = 15 - 4dCompare the value of a and find d:
1. d = 0
a = 15 - 4*0 = 15, in this case all the terms are same2. a = 16d
15 - 4d = 16d20d = 15d = 15/20d = 0.75Find a:
a = 16*0.75a = 12Si un amigo de Lorena tiene el doble de canciones que ella en su reproductor de música y juntas
suman 60 canciones. ¿Cuántas canciones tiene Lorena?
Lorena tiene 20 canciones y su amigo tendria 40
In y = -2x + 2, which of the following statements must be true about the
equation? (Check all that apply)
A) The slope is -2.
B) The equation represents a quadratic function.
C) The y-intercept is (0,-2).
D) From left to right, the line is decreasing or moving in a negative direction.
Hi there!
»»————- ★ ————-««
I believe your answer is:
A) The slope is -2.
D) From left to right, the line is decreasing or moving in a negative direction.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The equation given is in 'Slope-Intercept Form', where the equation gives the slope and y-intercept of a linear line. This would eliminate option B, since it is not quadradic.⸻⸻⸻⸻
[tex]\boxed{\text{Slope-Intercept Form is:}}\\\\y = mx + b\\\\\rightarrow m - slope\\\\\rightarrow b - \text'y-intercept\text'[/tex]
⸻⸻⸻⸻
In the equation [tex]y= -2x+2[/tex], the slope is '-2' (-2 takes m's place) and the y-intercept is (0,2). (2 takes b's place.)This would mark option A as a correct answer and eliminate option C. Line with negative slopes would go down if you were looking at the graph from left to right. Since the sign of the slope is negative, this would make option D a correct answer as well.⸻⸻⸻⸻
Options A and D should be correct.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Factor x - x - 30.
O(x-7)( x - 3)
O (X+9)(x-3)
O(x + 5) x-6)
O(x+4)( x - 8)
Answer:
(x + 5)(x - 6)Step-by-step explanation:
[tex] {x}^{2} - x - 30[/tex]
[tex] = {x}^{2} - 6x + 5x - 30[/tex]
[tex] = x(x - 6) + 5(x - 6)[/tex]
= (x + 5)(x - 6) (Ans)
Find the equation of this line
Step-by-step explanation:
y = - 2/5 x + 1
____________
Answer:
y = -2/5x + 1
Step-by-step explanation:
slope = rise/run
The line goes down two and five right.
The line crosses the y-intercept at 1.
(2x^2 - 4x+1)+(5x+x^2 - 1) sum PLEASE QUICKKKKKK
If 445 to base n is equal to 173,find the value of n
Answer:
6
(4×n²) + (4×n¹) + (5×n^0) = 173
4n² + 4n + 5 = 173
4n² + 4n = 168
divide through by 4
n² + n - 42 = 0
n² + 7n - 6n - 42= 0
(n + 7)(n - 6) = 0
n = -7 or 6
but the solution is 6 since base is not negative.
Find the measures of the indicated angles pictures included!!!
Answer:
25
Step-by-step explanation:
The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.
Write 0.12 as a fraction.
Answer: (6/50, but in simplest form,) 3/25.
Step-by-step explanation:
There are two decimal places in 0.12.
Because we multiplied 0.12 by 100 to produce 12, we must divide 12 by 100 in order for it to remain identical to 0.12....
By dividing the numerator and denominator with 4, we may simplify 12/100.
As a result, we obtain 3/25.
Answer:
0.12=12/100 and simplified 3/25
6 times the sum of a number and 12 is 114. what is the number?
Answer:
6 times the sum of a number and 12 is 114. The number is 17
Step-by-step explanation:
6 x 17 + 12= 114
Answer:
(12+114).6 this is because of the question , you have to multiple the sum 6 times
Help me with this!!!
Answer:
$$$$1.05
Step-by-step explanation:
20-3.96-14.99
=1.05
Question 4 Multiple Choice Worth 2 points)
(01.08 MC)
Determine the value of f (3) for the function f(x) =
x? +18x? + 104x + 192 for xs-3
3x - 9
for -3
x? - 2x? -5x + 6
x2-9
for
X > 3
Oo
O Undefined
O
10
O 693
f(3) is 0 for the given function
What is a function?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given
f(x) = [tex]x^{3}+18x^{2} +104x+192 \ for x\leq -3[/tex]
f(x) = [tex]\frac{3x-9}{x^{3} -2x^{2} -5x+6} \ for -3\leq x\leq -3[/tex]
f(x) = [tex]\sqrt{x^{2} -9} \ for \ x > 3[/tex]
We need f(3)
f(x) = [tex]\frac{3x-9}{x^{3} -2x^{2} -5x+6} \ for -3\leq x\leq -3[/tex]
f(3) = [tex]\frac{3(3)-9}{3^{3} -2(3)^{2} -5(3)+6}[/tex]
f(3) = 0
Hence, f(3) is 0 for the given function.
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Need the awnser for 3
Answer:
here u go
Step-by-step explanation:
< DBC (angle DBC)
Write the slope-intercept form of the equation of the
line through the given point with the given slope.
10. through: (5, -3), slope -4/5.
Answer:
y = -4/5x + 1Step-by-step explanation:
The slope-intercept form:
y = mx + b, where m- slope, b- y-interceptUse point (5, -3) and m = -4/5:
-3 = -4/5*5 + b-3 = -4 + bb = -3 + 4b = 1The line is:
y = -4/5x + 1Answer:
b = 1
Step-by-step explanation:
We know that
y = mx + b
-3 = -4/5 × 5 + b
-3 = -20/5 + b
-3 = -4 + b
-3 + 4 = b
1 = b
I need help with #52 ASAP… please help me with help this .. please and thank you.. it was due yesterday
7/9 , 28/36
do they form a proportion???
Answer:
yes
Step-by-step explanation:
7*4=28
9*4 36
Answer:
Yes they do
Step-by-step explanation:
7/9=28/36
7×36=9×28
252=252
Thus, they form a proportion
Problem in image. Explain it too.
[tex]\sqrt{40} = 6.32\\\\\\or\\5\sqrt{15} \\\\[/tex]
this is because when 40 is broken down into two numbers (one divisible to get out of the square root, and one not) you get 25 + 15 under the square root. we know that the square root of 25 is 5, so we can put 5 outside the root and leave 15 inside.
-------------- try the next problem, and if you don't understand, please reply back.
answer is for a) [tex]5\sqrt{15}[/tex]
Write 0.24 repeating as a fraction in simplest form.
Answer:
24/100
Step-by-step explanation:
Simplest fractional form of 0.24 repeating will be 6/25.
Fractions: A number in p/q form where q must not be zero is termed as fractions.
Given, that number 0.24 is repeating in nature.
So, to convert 0.24 from decimal to fraction .
Remove the decimal by dividing the whole number by 100 as decimal is two places behind.
0.24 = [tex]\frac{24}{100}[/tex]
Simplify the fractional form,
GCF of 24 and 100 = 4
So divide 24 and 100 by 4,
Therefore the required fraction is ,
= [tex]\frac{6}{25}[/tex]
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Is p(4p - 9) =12 or p(4p - 9) - 12 quadratic?
pls need help
From: Brainly.ph (philippines)
Answer:
p(4p - 9) =12 ⇒ 4p² - 9p = 12 ⇒ 4p² - 9p - 12 = 0
This is a quadratic equationp(4p - 9) - 12 ⇒ 4p² - 9p - 12
This is a quadratic expressionStep-by-step explanation:
p(4p-9)=124p²-9p=12Since, it's one term has power 2 ,so it is quadratic
p(4p-9)-124p²-9p-12Since, it's one term has power 2, so it is quadratic
6. Find the additive inverse of -7 + 51.
-7 - 51
7 + 5
7 - 51
-7 + 51
Answer:
7 - 51
Step-by-step explanation:
additive inverse : a number that when added to a given number gives zero the additive inverse of 4 is −4
what is the coefficient of -y/3
Answer:
-1/3 Is the coeff because y is multiplied by it
Cinco empleados lavan 10 autos en 4 horas, ¿cuántos autos lavarán 8 empleados en 6 horas?
Answer:
yo creo que es 13. lo siento si esta incorecto.
I need help with #61 to #64 ASAP please and thank you …. Could someone please help me with it
Answer:
sike
Step-by-step explanation:
gimme a reason to help u pls
Tonya is twice Kevin's age. In three years, Tonya will be 17. And in another three years, Uncle Rob will be three times Tonya’s age.
Today, Kevin is
years old, and Uncle Rob is
years old.
Answer:
kevin is 7
Rob is 48 yo
Step-by-step explanation:
could someone please assist me
Answer:
See Below.
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos(A - B) = \cos A\cos B + \sin A \sin B[/tex]
Part 5.2.1
Note that:
[tex]\displaystyle \cos ( A + B) = \cos (A - (-B))[/tex]
Then from the given identity:
[tex]\displaystyle \cos(A - (-B)) = \cos A \cos( -B) + \sin A \sin (-B)[/tex]
Cosine is an even function and sine is an odd function. That is:
[tex]\displaystyle \cos(- \theta) = \cos \theta \text{ and } \sin (-\theta) = -\sin\theta[/tex]
Hence:
[tex]\displaystyle \cos(A + B) = \cos A \cos B - \sin A \sin B[/tex]
Part 5.2.2
We want to verify that:
[tex]\displaystyle \cos^2 (A - B) = 4\cos^2 B \sin^2 B[/tex]
From the identity:
[tex]\displaystyle \cos (A - B) = \cos A \cos B + \sin A \sin B[/tex]
Since A + B = 90°, A = 90° - B. Hence:
[tex]\displaystyle \cos (A - B) = \cos (90^\circ - B) \cos B + \sin (90^\circ - B) \sin B[/tex]
Sine and cosine are co-functions. That is:
[tex]\displaystyle \sin \theta = \cos (90^\circ - \theta) \text{ and } \cos\theta = \sin(90^\circ - \theta)[/tex]
Hence:
[tex]\displaystyle \cos (A - B) = \sin B\cos B + \sin B \cos B = 2\sin B \cos B[/tex]
And by squaring both sides:
[tex]\displaystyle \cos ^2 (A - B) = 4\sin^2 B\cos^2 B[/tex]
Help what is the slope of the line?
9514 1404 393
Answer:
8/5 = 1.6
Step-by-step explanation:
It looks like the line crosses grid points (-4, -4) and (1, 4). This means the slope is ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-4))/(1 -(-4)) = 8/5 = 1.6
The slope of the line seems to be about 8/5, or 1.6.
If P=(2,-1), find the image of P under the following rotation. 90 counter about the origin. Enter the number that belongs in the green box.
Step-by-step explanation:
If the image move 90⁰ counterclockwise then it will become (-2, -1).
The value of the image of P under the rotation 90 degree counter about the origin is, (1, 2)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
Point P is,
P = (2, - 1)
Now, We know that;
To rotate quadrilateral ABCD 90° counterclockwise about the origin we will use the rule (x, y) becomes (-y, x).
Hence, The value of the image of P under the rotation 90 degree counter about the origin is,
= (- (- 1), 2)
= (1, 2)
Thus, The value of the image of P under the rotation 90 degree counter about the origin is, (1, 2)
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The height of a triangle is 4 in. greater than twice its base. The area of the triangle is no more than 168 in.-. Which
inequality can be used to find the possible lengths, x, of the base of the triangle?
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PLEASE HELPPPPP
What is the y-intercept of the line that has a slope of -1/2 and passes through the point (2, 3)?
y=-1/2x+
=========================================================
Explanation:
For now, let's call the y intercept b
We'll plug in x = 2 and y = 3 from the given point to find b
y = mx+b
y = (-1/2)x + b
3 = (-1/2)*2 + b
3 = -1 + b
3+1 = b
4 = b
b = 4
The y intercept is 4
The equation of the line is y = (-1/2)x + 4
Can someone please help with number 5 and 6.
Answer: the first is b and the second is a
Step-by-step explanation:
diameter 8 inch circle and round to the nearest hundred
Step-by-step explanation:
I think we need to area
Radius = Diameter/2
Radius = 8/2
Radius = 4 in
Area = πr²
Area = 22/7 × (4)²
Area = 22/7 × 16
Area = 50.28 in²
Step-by-step explanation:
According to question,
Diameter=8 inches
Therefore, Radius=D/2=8/2 inches=4 inches
Now,
To find perimeter,
2πr
2×22/7×4 inches
25.1428571 inches
To find area,
πr²
22/7×(4 inches)²
22/7×16 inches²
50.2857143 inches²
