Answer:45 ish
Step-by-step explanation:
what is x²-3x+8 if x=4
Answer:
12
Step-by-step explanation:
Substitute x = 4 into the expression
4² - 3(4) + 8 = 16 - 12 + 8 = 12
Answer:
12
Step-by-step explanation:
x²-3x+8
Plug in:
(4)²-3(4)+8
Use PEMDAS:
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
(4)²-3(4)+8
16 - 3(4) + 8
16 - 12 + 8
4 + 8
12
Hope this helped.
A scale drawing of a school bus has a scale of 1/2 inch to 5feet. If the length of the school bus is 4 1/2 inches on the scale drawing. What is the actual length of the bus? Explain or show your reasoning.
(10 points) How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
Answer:
C. 2
Step-by-step explanation:
2y and 0,0 are the same
Answer:
The answer is B) There is one proportional relationship
Step-by-step explanation:
The green line (the one at the top) does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
The blue line (the one in the middle) is a straight line through the origin. This is a proportional relationship.
Reason: It goes through 0,0
----------------------------------------------------------------------------------------------------------------
The purple line (the one at the bottom) does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
Conclusion: Since the green and purple lines are not proportional but the blue line is, this means only 1 line is proportional.
Note:
I know my answer is very late but I wanted to help anyone who needs it for future reference.
In right angle triangle OAB,
[tex] {ob}^{2} = {oa}^{2} + {ab}^{2} = |?| + |?| [/tex]
Answer:
ab^2 + oa^2
Step-by-step explanation:
It is pathagorus theorem basically
hypotenuse²= perpendicular²+base²
Find a.
Round to the nearest tenth:
2 cm
150
105
a = [? ]cm
Law of Sines: sin A sin B
sin C
b
Answer:
1.8 cm to the nearest tenth.
Step-by-step explanation:
The angle opposite side a = 180 - 105 - 15 = 60 degrees.
By the Sine Rule:
a / sin 60 = 2 / sin 105
a = 2 * sin60/ sin 105
= 1.79315
What decimal is equal to the following fraction?
12/20
Answer:
It is 0.6
Step-by-step explanation:
[tex] \frac{12}{20} [/tex]
divide numerator and denominator by 2:
[tex] = \frac{12 \div 2}{20 \div 2} \\ \\ = \frac{6}{10} [/tex]
since it's a tenth, it becomes a value with out decimal place:
[tex] = 0.6[/tex]
A man is37years old and his child is eight.how many years ago was the product of their ages 96 as in quadratic equation step by step
Answer:
5 years
Step-by-step explanation:
Let x be the unknown numer of years ago when the product of the man and his child's age was 96.
》 x years ago, the man's age = 37 - x
the child's age = 8 - x
(37 - x)(8 - x) = 96
296 - 37x - 8x + x² = 96
x² - 45x - 296 - 96 = 0
x² - 45x - 200 = 0
x² - 5x - 40x - 200 = 0
x(x - 5) -40(x - 5) = 0
(x - 5)(x - 40) = 0
x = 5 years ago or x = 40 years ago
but x = 40 > son's present age.
Thus, x = 5.
Therefore, 5 years ago the product of the ages of the man and his child was 96.
Solve the inequality.
|3x + 7| <4
Answer:
[tex]-\frac{11}{3} \leq x\leq -1[/tex]
Hope this helps!! <3
5. Mrs. Perkins hosts a birthday party for her son and 7 guests. She orders 2 cookies and a
cupcake for each child. The cost of the cupcake is $2.75, and the total bill is $46.00. What is the
cost of a cookie?
Answer:
A cookie is $1.50.
Step-by-step explanation:
Variable x = cost of cookies
For each child means the 7 guests plus Mrs. Perkins' son which equals 8.
Set up an equation:
(2x)8 + (2.75)8 = 46
Use distributive property:
16x + 22 = 46
Isolate variable x by subtracting both sides by 22:
16x = 24
Isolate variable x by dividing both sides by 16
x = 1.5
Check your work:
2(1.5) × 8 + (2.75)8 = 46
3 × 8 + 22 = 46
24 + 22 = 46
46 = 46
Correct!
Answer: $1.50 per cookie
Step-by-step explanation:
We know that each cupcake is worth $2.75 and the total bill of all her purchases is $46.
Therefore, lets multiply the cost of a cupcake times the amount of people eating them. (the sons and 7 guests which add up to 8)
2.75(8) = $22
Now take the total cost of 8 cupcakes and subtract it from the total.
46 - 22 = $24
24 dollars is equal to the cost times the amount of cookies purchased. Therefore, let X equal to the cost per cookie and multiply it times the amount of cookies purchased. The amount of cookies is equal to 2 cookies times 8 children.
(2*8)X = 24
16x=24
x= $1.50
Check:
8[ (1)(2.75) + 2X ] = 46
8[ 2.75 + (2) (1.50) ] = 46
22 + 24 = 46
46 = 46
PLEASE HELP
Combine as indicated by the signs. Write variables alphabetically in your answers.
Answer:
[tex]\frac{-4xy}{x^2-y^2}[/tex]
Step-by-step explanation:
[tex]\frac{x-y}{x+y}-\frac{x+y}{x-y} \\\\\\=>\frac{(x+y)(x-y)}{(x-y)(x-y)} -\frac{(x+y)(x-y)}{(x+y)(x+y) } \\\\=> \frac{(x-y)(x-y)-(x+y)(x+y)}{(x+y)(x-y)} \\\\=>\frac{x^2-xy-xy+y^2-x^2-xy-xy-y^2}{(x+y)(x-y)} \\\\=>\frac{-4xy}{(x+y)(x-y)} \\\\=>\frac{-4xy}{x^2 - y^2}[/tex]
Find the measure of c.
(1
27
O A. 31.6
B. 27
C. 63
D. 126
Answer:
The answer is
The measure of c is 63
please help me ill give you the crown thing
Answer: The answer is D
Step-by-step explanation:
Can someone show me how to factor this please?
Answer:
[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]
Step-by-step explanation:
We want to solve the equation:
[tex]2\sin ^2 \theta + 3\sin \theta + 1 = 0[/tex]
In the interval [0, 2π).
Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:
[tex]\displaystyle 2u^2 + 3u + 1 = 0[/tex]
Factor:
[tex]\displaystyle (2u+1)(u+1) = 0[/tex]
By the Zero Product Property:
[tex]\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0[/tex]
Solve for each case:
[tex]\displaystyle u = -\frac{1}{2} \text{ or } u = -1[/tex]
Back-substitute:
[tex]\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1[/tex]
Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:
[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]
HELP ASAP
The city planning committee decides that more than $8,000 must be budgeted for new playground equipment. Each swing set (x) will
cost $450, and each slide (y) will cost $600. Which inequality models this situation?
Answer:
x+y=$8,000 i guess
Step-by-step explanation:
Five explorers plan to share them equally. How many jewels does each get.
Solve using Quadratic Formula
x^2 + 3x - 3 = 0
Answer:
a= 1 , b= 3 , c= –3
[tex]x = \frac{ - b \frac{ + }{} \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 3 \frac{ + }{} {} \sqrt{ {3}^{2} - 4(1)( - 3)} }{2(1)} \\ = \frac{ - 3 \frac{ + }{} \sqrt{9 + 12} }{2} = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = 0.79 \\ x = - 3.79[/tex]
I hope I helped you^_^
100 POINTS
100 PUNTOS
------------------------------------------------------------------
If I buy an apple with 100 coins, how many coins do I need to have 1000 apples?
------------------------------------------------------------------
Si compro una manzana con 100 monedas, ¿cuántas monedas necesito para tener 1000 manzanas?
Answer:
100,000 coins
Step-by-step explanation:
We can use a ratio to solve
1 apple 1000 apples
------------ = ---------------
100 coins x coins
Using cross products
1x = 100 * 1000
1x = 100,000
We need 100,000 coins
Answer:
100,000 coins
Step-by-step explanation:
1 apple cost 100 coins
We want to find the amount of coins needed to get 1000 apples.
To do so we simply multiply the coins it takes to get 1 apple (100) by 1000
1000 * 100 = 100,000
Determine the intercepts of the line.
Do not round your answers.
y=-7x+3
Step-by-step explanation:
For x-intercept:
put y=0
0=-7x+3
7x=3
x=3/7
points(3/7,0)
For y-intercept:
x=0
y=-7(0)+3
y=3
points(0,3)
Note:if you need to know any question please let me know.Can someone help what do I put in the blank
Answer:
600 -383 =217hope it helpsHelp me I'm 9 the last box pls
Answer:
500, 500, 50, 10.
Step-by-step explanation:
5000 ÷ 500 = 10,
500 ÷ 50 = 10
50 ÷ 5 = 10
Answer:
5,000/500 = 10
50 /5 = 10
500/50 = 10
Method:
Calculator ;)
2.1.PS-8
Question Help
A package of 4 pairs of insulated gloves costs $29.16. What is the unit price of the pairs of gloves?
Answer:
7.29
Step-by-step explanation:
Translate this phrase into an algebraic expression.
The sum of 16 and twice a number
Use the variable n to represent the unknown number.
can someone please help
5(1+2m)=1/2(8+20m)
Answer:
no solutions
Step-by-step explanation:
5(1+2m)=1/2(8+20m)
5+10m = 4+10m
10m-10m= 4-5
No solutions
Can someone pls explain how to do order of operations
Answer:
do you mean PEMDAS?
Step-by-step explanation:
parenthesis, exponents, multiplication, division, addition, and subtraction
you solve in order and go left to right
if you give an equation i can explain it better, but it's basically that
Step-by-step explanation:
1- solve operation in parantheses or brackets.
2- we solve any exponent
3- solve all multiplication and division left to right
PLEASE I NEED HELP WITH THIS PLEASE
Answer:
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
Evaluate the expression if m =
-4, n = 1, p = 2, 9 = -6, r = 5, and t = -2.
|16+4(3q + p)|
Answer:
720
Step-by-step explanation:
|16+4(3(-6)+(2)|
|20(-18*2)|
|20*-36|
|-720|
720
Step-by-step explanation:
[tex] |16 + 4(3q + p)| \\ p = 2 \\ q = - 6 \\ then \\ = |16 + 4(3 \times - 6 + 2)| \\ = |16 + 4( - 18 + 2)| \\ = |16 + 4( - 16)| \\ |16 + - 64| \\ = | - 48| \\ take \: out \: side \: of \: mode \: then \: it \: become \: = 48 \\ \\ thank \: you[/tex]
Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem.
3
5
7
9
Answer:
9
Step-by-step explanation:
Let Benjamin's age be=x.
Let Lucas's age be=y.
Then, x=2y-6
When x=12, 12+6=2y.
18/2=y, y=9
4 (3 + c ) + c = c + 4
what is c?
Answer:
[tex]4(3 + c) + c = 4 + c \\ 12 + 4c + c = 4 + c \\ 12 + 5c = 4 + c \\ 12 - 4 = c - 5c \\ \\ 8 = - 4c \\ c = \frac{ - 8}{4} \\ c = - 2 \\ thank \: you[/tex]
Answer: c = -2
Step-by-step explanation:
Given
4 (3 + c) + c = c + 4
Expand parentheses and apply the distributive property
4 · 3 + 4 · c + c = c + 4
12 + 4c + c = c + 4
Combine like terms
12 + (4c + c) = c + 4
12 + 5c = c + 4
Subtract 12 on both sides
12 + 5c - 12 = c + 4 - 12
5c = c - 8
Subtract c on both sides
5c - c = c - 8 - c
4c = -8
Divide 4 on both sides
4c / 4 = -8 / 4
[tex]\boxed{c=-2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The hole for a support needs to be 5 feet deep. It is currently 1 foot 8
inches deep. How much deeper must the hole be? Use the conversion
factor 12 inches = 1 foot.
Answer:
60
12 inches=1 foot so 12 ×5=60
Answer:
60
Step-by-step explanation:
lol
I’m confused about these questions. Compositions and inverses ⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️
9514 1404 393
Answer:
1. (f+g)(x) = 2x^2 +4x +2
2. (f -g)(x) = -2x^2 +4x -4
5. (f+g)(x) = x^2 +2x -1
6. (g -f)(x) = x^2 -2x -1
Step-by-step explanation:
None of these are compositions. They are only sums or differences.
(f±g)(x) = f(x) ± g(x)
__
1. (f+g)(x) = f(x) +g(x) = (4x -1) +(2x^2 +3)
(f+g)(x) = 2x^2 +4x +2
__
2. (f -g)(x) = f(x) -g(x) = (4x -1) -(2x^2 +3)
(f -g)(x) = -2x^2 +4x -4
__
5. (f +g)(x) = f(x) +g(x) = (2x) +(x^2 -1)
(f+g)(x) = x^2 +2x -1
__
6. (g -f)(x) = g(x) -f(x) = (x^2 -1) -(2x)
(g -f)(x) = x^2 -2x -1