Answer:
Indian ocean is one of the world's oceans
Using the order of operation simplify 3^2 - 2 × 3
Answer:
Step-by-step explanation:
Do the square first 3^2 = 9
Do the multiplication next 2*3 = 6
Now do the subtraction
9 - 6 = 3
Show algebraically that f and g are inverse functions:
g = sqrt(x+8)-4
f=x^2+8x+8
Answer:
See Below.
Step-by-step explanation:
By definition, if two functions, f and g, are inverses, then:
[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]
We are given the two functions:
[tex]\displaystyle g(x) = \sqrt{x + 8} -4 \text{ and } f(x) = x^2 + 8x + 8[/tex]
Find f(g(x)) and g(f(x)):
[tex]\displaystyle \begin{aligned} f(g(x)) &= (\sqrt{x + 8} -4)^2 + 8(\sqrt{ x+ 8}-4) + 8 \\ \\ &= ((x+8) -8\sqrt{x + 8} +16) + 8\sqrt{x + 8} - 32 + 8 \\ \\ &= x + (-8\sqrt{x+8} + 8\sqrt{x + 8}) +(16 - 32 + 8 + 8) \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned}g(f(x)) &= \sqrt{(x^2 + 8x + 8) + 8} - 4 \\ \\ &= \sqrt{x^2 + 8x+16 } - 4 \\ \\ &=\sqrt{(x+ 4)^2} - 4 \\ \\ &= (x +4) - 4 \\ \\ &= x \stackrel{\checkmark}{=} x \end{aligned}[/tex]
Hence, f and g are indeed inverses of each other.
How do I prove that B is the answer? (I know that B is correct because my teacher showed the answer key.) Please answer urgently!
9514 1404 393
Answer:
2) 5.6
Step-by-step explanation:
The tangent relation is ...
Tan = Opposite/Adjacent
tan(θ) = 2.4/x = 3/7 . . . . . use the given values
x = 2.4(7/3) . . . . . . . . . . . multiply by (7/3)x
x = 5.6 . . . . . . . . . . . simplify
Help plz asap answer first gets. Brainliest
Answer:
1. [tex]\frac{3}{20}[/tex] 5. [tex]\frac{3}{14}[/tex] 9.[tex]\frac{14}{15}[/tex]
2. [tex]\frac{55}{4}[/tex] 6.[tex]\frac{11}{10}[/tex] 10.[tex]\frac{19}{6}[/tex]
3. [tex]\frac{7}{6}[/tex] 7. [tex]\frac{22}{15}[/tex] 11. [tex]\frac{47}{24}[/tex]
4.[tex]\frac{17}{12}[/tex] 8. [tex]\frac{16}{21}[/tex] 12. [tex]\frac{19}{42}[/tex]
hope this helps!
Factor the polynomial completely. If the polynomial cannno be factored, sayit is prime
2x^2-6x-20
A. 2x^2-6x-20=____ (factor completely)
B. The polynomial is prime
True or False: The expressions xy and yx are like terms.
Answer:
True
Step-by-step explanation:
Find the area of a triangle with a base of 6 m and a height of 3 m.
Can’t figure out number 35 plz help
This is science btw
Answer:
it is valley
Step-by-step explanation:
it is a valley because the lower numbers in the middle suggest that it gets higher towards the outer layers which means that it goes down in the middle like a hole and a hole is like a valley. :) hope that makes sense
These are the Other Ones
Evaluate the expression of x = -5 and y = 12
Answer:
We have to Evaluate the expression:
2x² + 2(3y - 1) - y²
Substitute x = -5 and y = 12 in expression, we get
⇛2(-5)² - 2(3×12 - 1) - 12²
⇛2(-5 × -5) - 2(36 - 1) - 12²
⇛2(25) - 2(35) - 12²
⇛50 - 70 - 12 × 12
⇛50 - 79 - 24
⇛50 - 103
⇛ - 53 Ans.
Can anyone help solve this for me ASAP. Thanks!
Answer:
x = 20
y = 26
Step-by-step explanation:
40 and 2x are vertical angles, so they're equal to each other.
40 = 2x
Divide both sides by 2
x = 20
We see that 40 and 5y + 10 are a linear pair, which means they add up to 180.
5y + 10 + 40 = 180
5y + 50 = 180
5y = 130
y = 26
How many solutions does g(x)=1 have?
Answer:
it only has four solutions
HELP PLEASE 25 POINTS
Answer:
First is < 2nd is = 3rd is <
Step-by-step explanation:
Generate a ratio table with at least two ratios equivalent to $10 per 15 tickets. Then describe how the table shows an additive structure and multiplicative structure.
Ratios are used to show proportions of related quantities.
The ratio table equivalent to $10 per 15 tickets is:
[tex]\begin{array}{cc}{Amount}&{Tickets}&10&15&20&30&30&45&40&60\end{array}[/tex]
Given that:
Ratio = $10 per 15 tickets
Using proper notation, we have:
[tex]Ratio = 10:15[/tex]
To generate a ratio table, we simply multiply or divide each part of the ratio by the same unit.
For instance,
Multiply by 2
[tex]Ratio = 20:30[/tex]
Divide the original ratio by 5
[tex]Ratio = 2:3[/tex]
A possible ratio table is:
[tex]\begin{array}{cc}{Amount}&{Tickets}&10&15&20&30&30&45&40&60\end{array}[/tex]
The additive structure
From the above table, we can see that as the amount (x) increases by 10 units, the number of tickets (y) increases by 15 units.
So, the additive structure of the above table is:
[tex](x,y) \to (x_i+10,y_i + 15)[/tex]
The multiplicative structure
The multiplicative structure simply implies that the amount (x) and the number of tickets (y) be multiplied by the same unit.
So, the multiplicative structure of the above table is:
[tex](x,y) \to n(x_i,y_i)[/tex]
Read more about ratios at:
https://brainly.com/question/13419413
20+8
100+75
49+28
32+24
DRAG & DROP THE ANSWER
8(4+3)
25(3+4)
7(7+4)
4(5+2)
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
20 + 8
4(5 + 2)
100 + 75
25(4 + 3)
49 + 28
7(7 + 4)
32 + 24
8(4 + 3)
Answer:
Ans; 8 +20 —> 4(2+5)
Ans; 75+100 —> 25(4+3)
Ans; 28+49 —> 7(4+7)
Ans; 24+32 —> 8(3+4)
I hope I helped you^_^
Please help!
What would be the domain of each line?
Answer and explanation please I am so confused :\
The leftmost line segment has a domain of -4 ≤ x < -1, or [-4, 1).
The central line segment has a domain of -1 ≤ x ≤ 2, or [-1, 2].
The rightmost line segment has a domain of 2 < x ≤ 5, or (2, 5].
Overall, this function has a domain of
[-4, 1) U [-1, 2] U (2, 5]
(where U means "union" in the set-theoretic notion)
But this also simplifies to the interval [-4, 5].
These correspond to the first and last choices.
please help me! :(
*worth 100 pts, right answer marked the brainleist* !
Given: f(x)=2x+5 and g(x)=x^2 and h(x)=-2x
h(g(f(x)))= __ x^2 + __x + __
1st blank: answer options;
-8,4,8
2nd blank: answer options;
-20,20,-40
3rd blank: answer options;
50,-50,25
Answer:
1. 4
2.20
3.25
Step-by-step explanation:
please mark me brainliest please
1+(-2)+3+(-4)+...+2011+(-2012)+2013
Rewrite the equation below so that it does not have fractions
Answer:
3.16
Step-by-step explanation:
3+3/4x=5/8
First multiply everything by 8 because of the LCM
You should get 24+6x=5
Next, Move the 24 to the other side.
You should get 6x=5-24
Now calculate it and you should have 6x=-19
Dividing both sides by 6 will give you -19/6 (duh)
You can turn that into a whole number which is 3.16
Please answer correctly and no links, I can mark brainlist
A (3)(-17.25) = -51.75
This is the answer because Paul took 17.25 from his saving every week, so that would make 17.25 negative in the equation. 3 is just the number of weeks, there is no need for a negative there.
How do points of a figure move in a translation
Gina paid $131 for a car stereo on sale for 30% off. There was also 7% sales tax on the purchase. Find the original price of the stereo
Answer:
It would be 98.12 dollars
Step-by-step explanation:
Hope this helps. :D
The original price of the car stereo before any discounts or taxes was approximately $187.14.
We have,
Gina paid $131 for the car stereo after it was discounted by 30%.
Let's represent the original price of the stereo as "x" dollars.
The discounted price would be 70% (100% - 30%) of the original price:
Discounted price = 0.70 * x
Given that Gina paid $131, we can set up the equation:
0.70 * x = 131
Now, solve for "x" by dividing both sides of the expression by 0.70:
x = 131 / 0.70
x ≈ 187.14
So, the original price of the stereo before the discount was approximately $187.14.
There was also 7% sales tax on the purchase.
To find the sales tax amount, we calculate 7% of the original price:
Sales tax = 0.07 * 187.14 ≈ 13.10
Now, to find the total original cost before the sales tax, we add the original price and the sales tax:
Total original cost = Original price + Sales tax
Total original cost ≈ 187.14 + 13.10 ≈ 200.24
Therefore,
The original price of the car stereo before any discounts or taxes was approximately $187.14.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
given g(x) = x2−4
find g(-3)
Answer:
Step-by-step explanation:
First we have to match these two terms
g(x)= g(-3)
Now we just replace the -3 with the x
-3^2 - 4
9-4
5 ----> the final answer
(btw the negative turned positive because it is squared)
What is the solution to the equation 3(y-2)=2y-8 A.-2/5 B.-14 C. -2 D. -2 4/5 I NEED-HELP PLeAse
Answer:
y = -2
Step-by-step explanation:
3(y-2)=2y-8
3y - 6 = 2y - 8
y - 6 = -8
y = -2
If f(x) = 2x + 1 and g(x) = f(x) + 3,
what would be the function of g(x)?
f(x) = 2x + 1 and g(x) = f(x) + 3
g(x) = 2x + 1 + 3
g(x) = 2x + 4A lion paced up and down the ridge 10 times. The ridge is 5 ft. 3 in. long. How far did the lion travel? (12 in.=1 ft.)
Answer:
105 ft.
Step-by-step explanation:
5 x 12 = 60
So 5 feet is 60 inches.
60 + 3 = 63
That makes the ridge 63 inches long.
When the lion went up the ridge, it traveled 63 inches.
When the lion went back down the ridge, it traveled another 63 inches, totaling 126 inches.
The lion did this 10 times.
126 x 10 = 1260
Divide 1260 by 12 to find the measurement in feet.
1260 ÷ 12 = 105
15. Create Write a real-world problem that can be solved by modeling integer
operations on the number line.
Answer:
The temperature was 80 degrees and it dropped 10 degrees. What is the temperature now?
80 - 10 = 70 degrees
Step-by-step explanation:
Find the composition: g(f(x)) f(x)=x2 g(x)=x−4
A x2−8x+16
B x2+16
C x2−4
D x2+4
Answer:
C
Step-by-step explanation:
just put the value of f in the place of the x in g
The ratio for mixing mortar using sand, lime and cement is 3:2:1.
How many parts of each do you need to mix 42 parts in total?
sand
101
lime
cement
Answer:
Sand: 21 parts.
Lime : 14 parts.
Cement: 7 parts.
Step-by-step explanation:
The number of parts is 3 + 2 + 1 = 6.
So for 42 parts we need:
Sand: 3/6 * 42 = 1/2 * 42 = 21.
Lime: 2/6 * 42 = 1/3 * 42 = 14,
Cement: 1/6 * 42 = 7.
What number should go in the empty boxes to complete the calculation for finding the product of 0.53 × 0.67?
(Hint: it is the same number. Input only one number in the blank.)
will give (brainlist)
Answer:
1st box: 1
2nd box: 1
Step-by-step explanation:
1: 3 * 7 = 21, so only put the 1 and carry the 2.
2: 5 * 6 = 30, but we have a 1 from the previous answer given so 31, but only put the 1.
I hope this helps :)