Hey there! I'm happy to help!
The range of a function is all of the outputs. Let's plug in our inputs and find these outputs.
4(-3)+3
-12+3
-9
4(2)+3
8+3
11
4(4)+3
12+3
15
We order these from least to greatest, giving us a range of {-9,11,15}.
Have a wonderful day! :D
What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve. x = ±2 and x = ±3 x = ±2i and x = ±3 x = ±2 and x = ±3i x = ±2i and x = ±3i
Answer:
[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]
Step-by-step explanation:
So we have the equation:
[tex]x^4-5x^2-36=0[/tex]
Let's let u equal x² so:
[tex]u^2-5u-36=0[/tex]
Factor. We can use -9 and 4. So:
[tex]u^2+4u-9u-36=0[/tex]
From the first two terms, factor out a u.
From the last two terms, factor out a -9. So:
[tex]u(u+4)-9(u+4)=0[/tex]
Grouping:
[tex](u-9)(u+4)=0[/tex]
Zero Product Property:
[tex]u-9=0 \text{ or } u+4=0[/tex]
On the left, add 9. On the right, subtract 4:
[tex]u=9\text{ or } u=-4[/tex]
Substitute back u:
[tex]x^2=9\text{ or } x^2=-4[/tex]
Take the square root:
[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]
And we're done!
Our answer is the Second option.
Answer:
B). x = ±2i and x = ±3
Step-by-step explanation:
HELP ME !
A right triangle has legs that measure 8 inches and 15 inches.
A. 5 in.
B. 7 in.
C. 17 in.
D. 23 in.
Answer:
C. 17
Step-by-step explanation:
I'm assuming you need the hypotenuse so to get that you do
The square root of a^2 + b^2
a squared + b squared
So it becomes square root of 8^2 + 15^2
= square root of 64 + 225
= square root of 289
= 17
Hope this helps :)
6
Simplify the following expression.
(9x2 - 3x + 7) + (-3x2 + 2)
A. 6x2 + 9
B. 12x2 - 3x + 5
C. 6x2 - 3x + 9
D. 6x2 + 3x + 9
The above expression is not in its simplest form, and we need to simplify it, that is what asked in the question.
Given equation,
[tex](9 {x}^{2} - 3x + 7) + ( - 3 {x}^{2} + 2)[/tex]
First of all, let's open the parentheses to combine the like terms for simplifying.
[tex]9 {x}^{2} - 3x + 7 - 3 {x}^{2} + 2[/tex]
Arranging the like terms, x² with x², x with x and constant terms near to each other.
[tex]9 {x}^{2} - 3 {x}^{2} - 3x + 7 + 2[/tex]
Simplying further,
[tex](9 - 3) {x}^{2} - 3x + 9[/tex]
[tex]6 {x}^{2} - 3x + 9[/tex]
So, the correct option is C
━━━━━━━━━━━━━━━━━━━━
Explain how you can use grouping to make multiplying three factors easier.
Answer:
no To multiply three factors, we first multiply two of the factors together. Then we multiply the product we get by the third factor. Since multiplication is commutative, we may multiply numbers in any order.
the diameter of the sun is about 1.4 x 10
Answer:
1.4x10=14 if thats ur question
Step-by-step explanation:
25-3x=2x help what’s x
Answer:
x=5
Step-by-step explanation:
add 3x to 2x
25=5x
then divide 25 by 5x
5=x
and flip
x=5
2m:80cm.Give answer in lowest term PLEASE
Answer:
5:2
Step-by-step explanation:
In centimetres
convert 2 m to cm which will be 200 cm
then simplify 200 cm:80 cm --> 5:2
(we cancelled out the zero --> 20:8 then divide 20/2= 10 and 8/2= 4
again the same --> 10/2= 5 and 4/2= 2.
5 and 2 are prime numbers which have no other factor except for 1 and themselves so it cannot be simplified further.
Therefore your answer is 5:2
In metres
convert 80 cm to m which will be 0.8 m
the same steps: simplify 2:0.8
to remove the decimal move the decimal place one to the right --> 8
so you also have to move the decimal place to the right for the numerator: 20
20/8 = 5/2
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!
a- 2.25
b-6.75
c-10
d-12
Answer:
B. 6.75 in
Step-by-step explanation:
ABCDEF ~ RSTUVQ
➡️ [tex] \frac{A \: F}{QR} = \frac{AB}{RS} [/tex]
➡️ [tex] \frac{9}{4} = \frac{x}{3} [/tex]
➡️ [tex]x = \frac{27}{4} [/tex]
➡️ [tex] = 6.75 \: in[/tex]
What is another name for line m in the figure below
Answer:
TV or VT
Step-by-step explanation:
A line is defined by the two points lying on an infinitely long straight paths.
From the picture attached,
There are two endless paths 'l' and 'm' which contain (R, U) and (V, T), intersecting at a point S.
Therefore, line 'm' will be represented by VT or TV.
And line 'l' will be represented by RU or UR.
Find the value of x
Answer:
x=35
Step-by-step explanation:
Triangles always add up to 180 degrees, and so do straight lines. so 180-131=49, 49+96=145, 180-145=x, so x=35 degrees
Hannah pays $85 per month for her cell phone plan that gives her unlimited talk and 500 outgoing text messages. After 500 text messages it costs $0.10 per outgoing text message. Write the equation that models how much she pays for her data.
Answer:
85x(500-0.10x)
Step-by-step explanation:
Divide (3 5/9) (-2 2/3)
Pls help
What is the y-intercept of the line that models this situation?
Solve for P
5/6p + 1= 3/4p -4
Answer: P= -60
Step-by-step explanation:
5/6p +1=3/4p -4
5/6p=3/4p-4. Subtract 1 from both sides
5p=9/2p-30. Trick( if there is a fraction multiply the denominator on both sides to make it a non fraction so life is easier, as I did I first multiply by 6)
10p=9p-60. multiply the second denominator on both sides(multiple by 2)
P=-60. Subtract 9p on both sides and keep the sign and you’ll get -60
The United States Tennis Association is researching the effect of what color the professional tennis players wear and
the number of foot faults called on them in one match. They collect data from every televised event of the year, noting
the color of the player's clothes and how many foot faults were called on the player. Which is this an example of?
-experiment
-simple random sample
-observational study
-convenience sample
Answer:
the answer is observation study
Step-by-step explanation:
16
A shirt that you want to buy costs $15.50. You can use a $5 discount coupon if you spend at
least $20. Solve an inequality that represents how much more you must spend to use the $5
coupon.
(1 Point)
Answer: The answer is m= ≥4.50
The required inequality is m ≥ 4.50
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, A shirt that you want to buy costs $15.50. You can use a $5 discount coupon if you spend at least $20.
Cost of the shirt = $15.50
you can use a $5 discount coupon if you spend at least $20
The question requires you to find how much more you need to spend to be able to use the $5 discount coupon
The shirt already cost $15.50
Total amount you need to spend = $20
Let the amount remaining = m
m ≥ $20 - 15.50
m ≥ $4.50
Hence, you need to spend $4.50 in order to be able to use the $5 discount coupon.
For more references on inequality, click;
https://brainly.com/question/11612965
#SPJ2
HELP ME PLEASE!! Find R and theta with the coordinates (-3,7).
Answer:
Since r is the distance from the origin to (x,y), it is the magnitude r=√x2+y2. Alternatively, from the equation (1), one can calculate directly that x2+y2=r2cos2θ+r2sin2θ=r2(cos2θ+sin2θ)=r2.
Step-by-step explanation:
(HIGH POINTS) PLEASE HELP URGENTLY!!!
A pilot needs to know the maximum height an aircraft can fly at. The cabin has
been tested and is safe to a height of 15679 m.
Round this height appropriately: to a whole number of kilometers and to a whole 100m. Please help.
Caleb needs at least 30 cups for the party he already has 12 cups at least show many more cups does he need
A expression
B equation
C inequality
What is the domain of the relation? {(−4.5, 0), (−3, 9), (0.9, 0), (4, −7.8), (4, 0), (17, 3)}
{0.9, 4, 17}
{−7.8, 0, 3, 9}
{−4.5, −3, 0.9, 4, 17}
{−4.5, −3}
Answer:
Domain of the relation is Option (c) : {−4.5, −3, 0.9, 4, 17}
6. Simplify: 15 + 10 - 8-2 +3 - 4 - 1
Answer:
13
Step-by-step explanation:
15 + 10 = 25
25 - 8 = 17
17 - 2 = 15
15 + 3 = 18
18 - 4 = 14
14 - 1 = 13
Answer:
13
Step-by-step explanation:
its 13
Please Help!! 9 points ! brainliest answer
Answer:
Answer C I think
Step-by-step explanation:
Need geometry help ASAP
Answer:
D. 82
Step-by-step explanation:
a^2 + b^2 = c^2
80^2 + 18^2 = c^2
324 + 6400 = c^2
6724 = c^2
82 = c
Identify the conjugate of -2-31.
Answer:
-2+31
Step-by-step explanation:
conjugate in simple terms is that it is taken in opposite sign.
for example the conjugate of [tex]5+\sqrt{2}\\[/tex] is [tex]5-\sqrt{2}[/tex]
If u understood the concept...pls mark as Brainliest!
the l.c.m of 5ab and 3ab
Answer:
The answer is 15ab. You can just simply multiply the two given number
2x + 20 = -3x-25
this is due in 20 minutes!
Answer:
x = -9
Step-by-step explanation:
Answer:
x= -9
Step-by-step explanation:
2x+20=-3x-25
+3. +3
5x+20=-25
-25. -25
5×=-45
÷5. ÷5
×= -9
- 3m + 6 (m - 2) = 9
Answer:
m=7
Step-by-step explanation:
step 1: -3m+6m-12=9
step 2: 3m-12=9
step 3: 3m=21
step 4: m=7
Answer:
m=7
Step-by-step explanation:
1. Simpilfy both sides of the equation & combine like terms
2. Add 12 to both sides
3. Divide 3 from both sides
21 divided by 3 equals 7.
Rachel was playing a game on her computer out of 20 questions she answered 7 correctly at this rate how many questions should rachel answer correctly if she answered a total of 160 questions
Answer:
56
Step-by-step explanation:
(7/20)=(x/160)
160(7/20)=x
x=56