Answer:
1
Step-by-step explanation:
Let x represent the number. The given relation is ...
x² +(x+3)² = 17
2x² +6x +9 = 17 . . . . simplify
x² +3x -4 = 0 . . . . . . subtract 17 and divide by 2
(x +4)(x -1) = 0 . . . . . factor
The solutions make these factors zero: -4 and +1. The positive solution is 1.
The number is 1.
Hailey signed up for a streaming music service that costs $14 per month. The service allows Hailey to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1.50 per song. How much total money would Hailey have to pay in a month in which she downloaded 40 songs? How much would she have to pay if she downloaded ss songs?
Answer:
The given data can be written in the form of an AP, where n is the number of songs Hailey downloads
song_bill(n) = 14 + n(1.50)
Money Hailey has to pay after downloading 40 songs:
n = 40
song_bill(40) = 14 + 40(1.5)
song_bill(40) = 14 + 60
song_bill(40) = 74 dollars
Money Hailey has to pay after downloading ss songs:
n = ss
song_bill(ss) = 14 + ss(1.5)
song_bill(ss) = 14 + 1.5(ss) dollars
You have discovered another alien. Find the correct rescue path before answering this question. When the spaceship starts from a point on the y axis, what is the y-intercept of the line of travel? the x-coordinate of the spaceship the y-coordinate of the spaceship the y-coordinate of the alien the distance from the spaceship to the alien
Answer:
the y-coordinate of the spaceship
Step-by-step explanation:
It's what it said on edge
Answer
b
Step-by-step explanation:
Find the domain and range of f(x)=x/x^2-9
Answer:
[tex]Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )[/tex]
[tex]Ran(f)=\matyhbb{R}[/tex]
Step-by-step explanation:
[tex]f(x)=\dfrac{x}{x^2-9}[/tex]
Once the denominator can't be zero, [tex]x\neq 3[/tex] and [tex]x\neq -3[/tex]
[tex]Dom(f)=(-\infty, -3 )\cup (-3, 3 )\cup (3,-\infty )[/tex]
The range from the graph is all Real numbers
Felipe has s flower bed with area of 25/4 ft2. He expands the flower bed to and area 75/4ft2. how many square feet of space does the larger flower bed have for every square foot of the smaller flower bed.
Answer:
Step-by-step explanation:
100
Help!!
...................................................................................
Length in centimeters of a 1 foot ruler
Please help, thank you
Answer:
1.
8x + 6y = 28
9x + 3y = 39
Set to equal y.
8x + 6y = 28
6y = -8x + 28
y = -8/6x + 28/6
y = -4/3x + 14/3
9x + 3y = 39
3y = -9x + 39
y = -9/3x + 39/3
y = -3x + 13
Set equal to each other.
-4/3x + 14/3 = -3x + 13
Combine like terms.
5/3x = 25/3
Multiply by 3/5
x = 5
Plug x in.
y = -3(5) + 13
y = -15 + 13
y = -2
(5, -2)
2.
-2x - 9y = -3
-7x - 9y= -33
Set equal to y.
-2x - 9y = -3
-9y = 2x - 3
y = -2/9x + 3/9
y = -2/9x + 1/3
-7x - 9y= -33
-9y = 7x - 33
y = -7/9x + 33/9
y = -7/9x + 11/3
Set equal to each other
-2/9x + 1/3 = -2/9x + 1/3
0 = 0
infinitely many solutions
2, 4/3, 8/9, 16/27 whats next ?
Answer:
32/81
Step-by-step explanation: multiply the numerator by 2 and the denominator by 3.
Answer:
32/81
Step-by-step explanation:
Each term in the sequence is 2/3 of the previous one. Following that same pattern, the next term is 2/3 of the last one.
16/27 × 2/3 = 32/81
PLEASE HELP, WILL GIVE BRAINLIEST! Which descriptions can describe more than one triangle? Select two options.
side lengths of 6 ft, 8 ft, and 10 ft
angle measurements of 35 degrees, 35 degrees, and 110 degrees
angle measurements of 30 degrees, 40 degrees, and 50 degrees
angle measurements of 40 degrees, 60 degrees, and 80 degrees
side lengths of 4 cm, 6 cm, and 9 cm
Answer:
B and D
Step-by-step explanation:
i got it right :D
what is 5 - 5???
idk what that is please help im crying
Answer:
it is 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
5-5=?
?=5-5
?=0
PLS RATE BRAINIEST!
in a group of 120 students,68 had riddena bus,78 had ridden the LRT,20 had riddenthe bus and the jeep ,19 had ridden the LRT and the jeep and 15 had ridden the bus,the LRT and the jeep.
a.how many had ridden the bus only?
b.how many had ridden the LRT only?
c.how many had ridden the jeep only?
d.how many did not ride on any of the three modes of transportation?
Answer:
180
Step-by-step explanation:
ms.halquist and 3 friends went to eat sushi.The meal cost 45$ and they paid waitress a 15%tip .how much was the bill?
Answer: 51.75$
Step-by-step explanation: First, turn 15% into the decimal 0.15, then multiply by 45, which equals 6.75. Now add 6.75, which is the amount the waitress got tipped to 45, which equals 51.75$ total.
Prove: (1+tanθ)/(1+cotθ )=secθ/cscθ
(1 + tanθ) / (1 + cotθ) = (1 + sinθ / cosθ) / (1 + cosθ / sinθ)
(1 + tanθ) / (1 + cotθ) = ((cosθ + sinθ) / cosθ) / ((sinθ + cosθ) / sinθ)
(1 + tanθ) / (1 + cotθ) = (1 / cosθ) / (1 / sinθ)
(1 + tanθ) / (1 + cotθ) = secθ / cscθ
ALGEBRA 2
There were 350 tickets sold for the spring concert at the local high school. Adult tickets cost $4.00 each, student tickets cost $2.50 each, and senior tickets cost $2.00 each. There were 40 fewer senior tickets sold than student tickets. If a total of$1,095 was collected from tickets, write the linear systems that could be used to find the number of each type of ticket sold
Answer:
[tex]\left\{ \begin{array}{ll} a+s+r=350 \\ 4a+2.5s+2r=1095\\r=s-40 \end{array} \right.[/tex]
Step-by-step explanation:
Let's define our variables. Let a represent the number of adult tickets sold, s represent the number of senior tickets sold, and r represent the number of senior tickets sold.
We know that a total of 350 tickets were sold. So, the number of adult, student, and senior tickets sold must total 350. Therefore, we can write the following equation:
[tex]a+s+r=350[/tex]
We know that each adult ticket costs $4, each student ticket costs $2.50, and each senior ticket costs $2. We are given that a total of $1095 was collected. Therefore, the number of tickets multiplied by their respective price must equal $1095. So, we can write the following equation:
[tex]4a+2.5s+2r=1095[/tex]
Finally, we know that 40 fewer senior tickets were sold than student tickets. So, however many students tickets were sold, we can subtract 40 to get the number of senior tickets sold. Therefore:
[tex]r=s-40[/tex]
So, our system of equations is:
[tex]\left\{ \begin{array}{ll} a+s+r=350 \\ 4a+2.5s+2r=1095\\r=s-40 \end{array} \right.[/tex]
And we're done!
If m∠7 = 55°, which of the following statements are true? Select all that apply. There are two horizontal parallel lines are cut by a transversal. The top left angle is denoted by 1 when transversal line makes an angle with upper horizontal line. The supplementary angle of angle 1 (which is top right angle) is denoted by 2 and opposite angle is denoted by 4. The remaining angle is denoted by 3. The corresponding angle of 1 is denoted by 5 and the corresponding angle of 2 is denoted by 6. The opposite angle of 5 is denoted by 8 and opposite angle of 6 denoted by 7. A. m∠6 = 55° B. m∠5 = 135° C. m∠1 + m∠4 = 250° D. m∠1 + m∠6 = m∠7 + m∠4
Answer:
The true statements are;
A. m∠6 = 55°
C. m∠1 + m∠4 = 250°
D. m∠1 + m∠6 = m∠7 + m∠4
Step-by-step explanation:
The given information are;
m∠7 = 55°
The angles formed by the transversal and the upper horizontal parallel line are (starting from the top left and moving in clockwise direction) = 1, 2, 4, 3
Similarly, the angles formed by the transversal and the lower horizontal parallel line are (starting from the top left and moving in clockwise direction) = 5, 6, 8, 7
Therefore, we have;
m∠7 ≅ m∠6 (Vertically opposite angles are congruent)
∴ m∠6 = m∠7 = 55°
m∠6 = 55° which corresponds with option A.
m∠5 + m∠6 = 180° (The sum of angles on a straight line)
∴ m∠5 = 180° - m∠6 = 180° - 55° = 125°
m∠5 = 125°
m∠1 ≅ m∠5 (Corresponding angles)
∴ m∠1 = m∠5 = 125°
m∠1 ≅ m∠4 (Vertically opposite angles)
∴ m∠1 = m∠4 = 125°
∴ m∠1 + m∠4 = 125° + 125° = 250°
m∠1 + m∠4 = 250° which corresponds with option C.
m∠1 ≅ m∠4 (Vertically opposite angles)
m∠6 ≅ m∠7 (Vertically opposite angles)
∴ m∠1 + m∠6 = m∠7 + m∠4 (Transitive property) which corresponds with option D.
Answer:
a,c and d
Step-by-step explanation:
After going trick-or-treating, Jeremy is trying to
figure out how many houses he visited. Jeremy knows
he started with 9 pieces of candy in his bag and
averaged 2 candies per house. If Jeremy has 71
pieces of candy, how many houses did he visit?
For the function, f(x)=1/4x-2, find x if f(x)=-1
f(x) = 1/4x-3
When f(x) = -1,
= 1/4(-1)-3
= -13/4
Answer
-2.25
Step-by-step explanation:
(1/-4) -2= (1/-4)- 2^4= -9/4= -2.25
plz help help help help help
Answer:
23(14) +23(33)
Step-by-step explanation:
23(14+33)
Distributive Property
I need to see how you solve this problem.
Answer:
What is the problem? Pls follow me!x +3> -8
Can you help please also you need to see what it’s greater then or less than too.
Answer:
x > -11
Step-by-step explanation:
Step 1: Write inequality
x + 3 > -8
Step 2: Solve for x
Subtract 3 on both sides: x > -11Here, the inequality is saying that any number greater than -11 will work as a solution.
the product of a number squared and 4
A company earns $150 a week for 9 weeks. It then has a loss of 565 a week for 25 weeks. At the end of the 34 weeks what is the company's
balance?
Answer:
54
Step-by-step explanation:
multiply 9 and 7 which is 63. then multiply 63 by 150 which is 9,450. then multiply 25 and 7 which is 175. then divide 175 and 9,450. and the answer is 54. Yw!!
We need to write and solve an algebraic equation to find the final company's balance.
The answer is: The final balance is -$275.
Let's see how to get that.
First, we know that the company earns $150 per week for 9 weeks, then the total amount of money that the company earns in these 9 weeks is:
$150*9 = $1,350
Then the company losses $65 per week for 25 weeks, then the amount that the company losses is:
$65*25 = $1,625
The final balance will be the difference between what the company earned and what the company lost, then the final balance is:
balance = $1,350 - $1,625 = -$275
This means that the company's final balance is -$275.
If you want to learn more, you can read:
https://brainly.com/question/24770120
Which ordered pair is a solution of 3x - 4y < 1
A, B, C, or D?
Evaluate 12y when y = 4.
Answer:
48
Step-by-step explanation:
12*4=48
substitute y for the given value
Answer:
48
Step-by-step explanation:
12y
Let y=4
12*4 = 48
Mark and his brother signed up for the Catch Up phone plan. They share the minutes every month equally. How many minutes can Mark use each day without going over his share
Answer:
12 minutes.
Step-by-step explanation:
solve this equation, and show work. worth 40 points
Answer:
n=0
Step-by-step explanation:
both numbers have the same bases which is 5 so we can say that their exponents are equal to each other:
-2n = -2n-3
now we isolate the n variables to one side:
-2n + 2n = -3
0n = -3
n = 0
find the perimeter of the figure below composed of a rectangle and a semi circle round to the nearest tenths place
Given parameters:
We have two shapes, the rectangle and semi circle;
The problem is to find the perimeter of the shape given
The perimeter of a body is the total length of the body.
Here, it is the sum of the perimeter of the rectangle and semi-circle.
Note, to remove repetition, we to deduct 6 which is a common point to both of them.
Perimeter of a semi-circle = Circumference of semi- circle
= πr² x [tex]\frac{1}{2}[/tex]
The diameter here is 6 and radius is 3;
Circumference of semi-circle = π x 3² x [tex]\frac{1}{2}[/tex] = 14.14
Perimeter of rectangle = 2(6+8) = 28
The perimeter of the figure = 14.14 + 28 - 6 = 36.1
The perimeter of the figure is 36.1
An item is regularly priced at 95$ . It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Answer:
$19 discounted. The item will costs about $76
Step-by-step explanation:
20% = 0.20
95 x 0.20 = 19
95 - 19 = 76
TWO THIRDS OF A STUDENT ARE BOYS. HOW MANY BOYS ARE IN MRS. PATRICKS HOMEROOM. DRAW A MODEL OR EXPLAIN
Hope that this model helps!!
Find the value of x.
i need help
Answer:
1. x=7
2. x=6
3. x=6
4. x=4
5.x=70 degrees
6. x=75 degrees
Step-by-step explanation:
My answers may not be correct.