Answer:
a₁ = - 24
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₇ = 2a₅ , then
a₁ + 6d = 2(a₁ + 4d) = 2a₁ + 8d ( subtract 2a₁ + 8d from both sides )
- a₁ - 2d = 0 → (1)
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
Given [tex]S_{7}[/tex] = 84 , then
[tex]\frac{7}{2}[/tex] (2a₁ + 6d) = 84
3.5(2a₁ + 6d) = 84 ( divide both sides by 3.5 )
2a₁ + 6d = 24 → (2)
Thus we have 2 equations
- a₁ - 2d = 0 → (1)
2a₁ + 6d = 24 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate d
- 3a₁ - 6d = 0 → (3)
Add (2) and (3) term by term to eliminate d
- a₁ = 24 ( multiply both sides by - 1 )
a₁ = - 24
1. The video store rented 42 videotapes on
Monday, 35 on Tuesday, 51 on
Wednesday, and 32 on Thursday. What
was the average number of videotapes
initially rented per day from Monday to
Thursday if all were one-day rentals?
A. 37
B. 38
C. 40
E. 54
Answer:
C. 40
Step-by-step explanation:
average = (42 + 35 + 51 + 32)/4 = 40
Answer: C. 40
What Is the value of p? 33°
Answer:
90 - 33 = 57 57is the answer
Step-by-step explanation:
Answer:
p=57 degrees
Step-by-step explanation:
P and 33 are complementary we know this because of the right angle so set up this equation:
90=angle + angle
sub in the numbers
90=33+P
Substract both sides by 33 to get p alone.
p=57
3) Consider the following linear equations:
y = x - 4 and -8y = 8x - 32
What are the intercepts of the line y=x-4 ?
x-value of x-intercept _____
y- value of y-intercept _____
f(x) = x + 7
and
g(x) = x^2
What is f( g( -7))
You have a box that measures 11
inches on each side. What is the
volume of that box
Answer:
1,331in^3
Step-by-step explanation:
Are ratios 8:16 and 1:2 equal? Why?
Answer:
Yes, 8:16 and 1:2 are equal
Step-by-step explanation:
They are both equal to 1/2.
8/16 simplified is 1/2
You can multiply the numerator and denominator to get 8 / 16
1 x 8 = 8
2 x 8 = 16
8/16
Solve the equation using inverse operations. show your work
-x^2=-36
Answer:
x = 6, -6
Step-by-step explanation:
-x^2 = -36
~Take the square root of both sides
x = ±6
Best of Luck!
What is 3 x 3 1/4?
Please help
Answer:
3 times 3 1/4 is 13 times 3 which is 39
Step-by-step explanation:
pleas solve this for me
y=x^2-x
Answer:
there i tried :)
Step-by-step explanation:
Can someone help me plz
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points
Answer:
yes
Step-by-step explanation:
10x10=6x6 + 8x8
100= 36 + 64
Pythagoras theorem
do positive numbers have negative square roots?
3/4 divided by 1/8 show work pls
Answer:
7
Step-by-step explanation:
a fraction divided by a fraction can be multiplied by the reciprocal. so...
instead of 3/4 ÷ 1/8, you do
3/4 * 8/1 which equals
24/4 which equals
6
Answer:
6
Step-by-step explanation:
3/4 ÷ 1/8 = 3/4 × 8/1 = 24/4 =6
*8×3=24 *4×1=4
*24÷4=6
I need help with the fraction thing I’m doing
Answer:
12
/ \
2 6
/ \
2 3
Step-by-step explanation:
This is the answer
Answer:
12
2 6
2 3
Step-by-step explanation:
Because reasons.
47 426 round to the nearest thousands
Answer:
47 000
I hope this helps
What is the range of the function f(x) = 3/4|x|- 3
Answer:
[-3,∞)
Step-by-step explanation:
A checking account is set up with an initial balance of $5400, and $300 is removed from the account each month for rent (no other transactions occur on the account).
Write an equation that can be solved to find the number of months, m, it takes for the account balance to reach $1800.
Answer:
$1800 xm^2= 68658
Step-by-step explanation:
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
HELP PLS
Answer:
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Hope this helps. :)
Peter says there are two distances for which he and Maria charge the same amount. To prove Peter is not correct, Maria graphs a line for her delivery charges and a line for Peter’s delivery charges. Each line represents the relationship between the amount (y), in dollars, each person charges for a delivery and the distance (x), in miles, each drives for the delivery. Without showing the graph, explain how Maria’s graph of the two lines proves Peter is not correct.
WHAT IS THE SLOPE OF THE LINE???
I NEED HELP ASAP PLEASE
Answer:
(-3, 1)
Step-by-step explanation:
The line goes down 3 (-3) and to the right 1
(-3, 1)
(Sorry if I am wrong. Please don't get mad)
Hope I helped :)
The water level in a bathtub is directly proportional to the time that the water has been running. If the water level is 4 inches after 5 minutes, what is the water level after 9 minutes? O A. 10 inches O B. 7.2 inches O C. 8 inches OD. 11.25 inches
Answer:
i think its 8
Step-by-step explanation:
becuse 4/5 its equal to 8/9 so thats why.
denada✌
Solve: (step by step please)
x^2+9x+9=0
Answer:
[tex]x=\frac{-9\pm3\sqrt{5} }{2}[/tex]
Step-by-step explanation:
Standard Form: ax² + bx + c = 0
Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Step 1: Write equation
x² + 9x + 9 = 0
Since we cannot factor the expression, we will have to use the quadratic formula.
Step 2: Define
a = 1
b = 9
c = 9
Step 3: Solve for x
Substitute: [tex]x=\frac{-9\pm\sqrt{9^2-4(1)(9)} }{2(1)}[/tex]Evaluate: [tex]x=\frac{-9\pm\sqrt{81-36} }{2}[/tex]Evaluate: [tex]x=\frac{-9\pm\sqrt{45} }{2}[/tex]Simplify: [tex]x=\frac{-9\pm3\sqrt{5} }{2}[/tex]Answer:
X1= -9-3[tex]\sqrt5[/tex] over 2 X2= -9+3[tex]\sqrt5[/tex] over 2 (draw a line under the -9 to the 5
and put a 2 under like a fraction
i cant get the line all the way
across on here sorry
Step by step explanation:
x= -9 [tex]\sqrt9^2 -4x1x9[/tex] Over (draw a line under that) Put all that under sq root
2 x 1 also
x= -9+ [tex]\sqrt81-36[/tex] Over 2
2
x= -9 + [tex]\sqrt45[/tex] Over 2
2
x=-9 +3[tex]\sqrt5[/tex] Over 2
2
separate solutions gives your answer above
Also ......note ..... put a line under each + sign ok I worked hard getting this all down best i can
Solve the inequality 3(k-9) > 3k + 6.
Answer:
No solution
Step-by-step explanation:
Solving inequalities is similar to solving equations. First let's distribute the 3 with (k-9)
[tex]3(k - 9) > 3k + 6[/tex]
[tex]3k - 27 > 3k + 6[/tex]
(Subtract 3k from both sides)
[tex] - 27 > 6[/tex]
[tex] - 33 > 0[/tex]
(Subtract 6 from both sides. You can also add 27 to both sides. You will get the same answer.)
This inequality is invalid. There are no values of k that make the inequality true.
Answer:
No solution
Step-by-step explanation:
find the area of a Semicircle whose radius is 3.5 cm (take pi as 22/7
Answer:
TSA=115.5cm²
Step-by-step explanation:
T.S.A=3πr²
Given r=3.5cm
eq.
3×22/7×3.5×3.5
=3×22×0.5×3.5
=115.5cm²
Answer:
[tex]19.25cm^{2} \\[/tex]
Step-by-step explanation:
Formula
[tex]\frac{\pi r^{2} }{2}[/tex]
Solve
[tex]\frac{(\frac{22}{7} )(3.5cm)^{2}}{2}= \frac{(\frac{22}{7} )(3.5cm)(3.5cm)}{2}=\frac{((\frac{22}{7} )(3.5cm))(3.5cm)}{2}=\frac{(\frac{77}{7}cm)(3.5cm) }{2}[/tex]=
[tex]\frac{(11cm)(3.5cm)}{2}=\frac{38.5cm^{2}}{2}=19.25cm^{2}[/tex]
Which of the relations below is a function?
{(2,3), (3,4), (5,1), (6,2), (2,4)}
{(2,3), (3,4), (5,1), (6,2), (3,3)}
{(2,3), (3,4), (5,1), (6,2), (7,3)}
Answer:
{(2,3), (3,4), (5,1), (6,2), (7,3)}
Step-by-step explanation:
A relation may or may not represent a function.
The relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}
Relations and functions
For a relation to be considered a function, then the x values must point to different y-values.
The above condition is true for the relation (3).
This is so because all x values in this relation point to different y-values.
Hence, the relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}
Read more about relations and functions at:
https://brainly.com/question/10283950
Write 3x3x4x4x3x4 using exponents
I NEED IT NOW
Answer: 3^3 x 4^3
Here you go!
3^3 x 4^3
ok brainly is asking me to put more characters in my answer so yeah im doing that
Pleas help me complete this question
The answer should be —-students
Answer:
1.1 × 10^ 4
Step-by-step explanation:
Answer:
2.7*10^4 - 3.7*10^3
=10^3[2.7*10-3.7]
=10^3 [27-3.7]
=10^3 *23.3
=2.33*10^4
Hope this helps!!
Factor the expression completely.
18 x − 21 18x−21
Answer:
3( 6x-7)
Step-by-step explanation:
18 x − 21
Factor a 3 out of each term
3*6x - 3*7
3( 6x-7)
Answer:
Factor 18x−21
18x−21
=3(6x−7)
Answer:
3(6x−7)
Step-by-step explanation:
Write the word sentence as an equation. Then solve.
10 more than a number c is 3.
Answer:
10+c=3
Step-by-step explanation:
to solve this you would then subtract 10 from both sides, to get c by itself.
3-10= -7
Your answer would be -7 and the equation would be 10+c=3.
Solve: x3 = 27
A) X = 3
B) X= 3 and x = -3
C) X = 9
D) X = 9 and x = -9
Answer:
C
Step-by-step explanation:
27/3=9
Just do cube root of 27.
x has to equal 3 because -3 cubed is -27, 9 cubed is 729, and -9 cubed is -729.
X = 3, The answer is choice A.