Answer: h(x)=x³+5x²+8x-16
Step-by-step explanation:
In this problem, we are given f(x) and g(x). The problem asks to find h(x)=f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.
h(x)=x²-9+x³+4x²+8x-7 [combine like terms]
h(x)=x³+5x²+8x-16
Now, we know that h(x)=x³+5x²+8x-16 after we have combined like terms.
If ΔABC = ΔDEF, angle m∠A = 50, and angle m∠E = 30, what is angle m∠C?
When you indicate triangle congruency, the order of the letters matter. As you see these statements, look at how the side length names correspond to how the letters are written in its order, ΔABC ≅ ΔDEF. (By the way, triangles aren't equal with an = sign. It's a ≅ congruency sign.)
AB is congruent or the same length as DE.
BC is congruent or the same length as EF.
AC is congruent or the same length as DF.
In the same way, all of the angles in the corresponding order are ALSO congruent. By the way, we say that angles are congruent and angle MEASURES (like 30 degrees) are equal.
m∠A = m∠D
m∠B = m∠E
m∠C = m∠F
In the same way, we can try to find m∠C, or measure C!
1. Let's find the missing angle!
So, we know that m∠A is 50 degrees and m∠E is 30 degrees. Since we know that m∠E = m∠B because of the order of the triangles, now we know two of the angles in triangle ABC.
m∠A = 50 degrees
m∠B = 30 degrees
m∠C = 180 degrees - (50 + 30) = 100 degrees
(We minus from 180 degrees because 180 degrees is the sum of the angles in a triangle!)
And that's it! If you have any questions, please feel free to ask questions. I'm not here to judge, and I'm only here to help. Again, ask questions if you need help. It's crucial that you know the basics of geometry!
The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990
Answer:
1999
Step-by-step explanation:
The equation which represents the given situation is P=180t+620.
Given that, the population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, the standard form of the population is increasing linearly is P = mt + b.
Where m is the slope = (y2-y1)/(x2-x1)=(1520-1160)/(5-3)
=360/2
=180
So, 1160=180 × 3 + b
⇒ 1160=540 × 3 + b
⇒ b=620
Then, the equation is P=180t+620
Therefore, the equation which represents the given situation is P(t)=180t+620.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990.
If P(t) is the population at time t, which of these equations correctly represents this situation?
Evaluate
5
9
÷
5
18
[tex]Evaluate59÷518[/tex]
show your work and please hurry
−16 + x = −15
Answer:
x-1
Step-by-step explanation:
-16+1 16-15=1
To get -15 move 1 in the positive direction or backwards
or if this helps ignor the - and just subtract 16 from 15
Answer:
x = 1
Step-by-step explanation:
Add 16 to each side, so it now looks like this: x = 1I hope this helps!
A fitness center introduces two membership plans. The first plan charges $27 per month plus a $22 enrollment fee. The second plan charges $30 per month plus a $10 enrollment fee. Which of the following solution sets shows the number of months during which the first plan is less expensive?
Answer:
hrjejejdbbbhjjiiiiuhvbbdbwnjwkwksk
Choose the fraction that is greater than 5/9.
Answer:
6/9
Step-by-step explanation:
Identify the slope and y-intercept of the line on the graph. The write the equation of the line in slope-intercept form.
Answer:
7. m= 3 b= -4
Step-by-step explanation:
The line has a slope of 3/1 and a y-intercept of 0, -4. y=3x-4
Malik completed 7 1/2 math problems in 10 1/3 minutes. If he has 20 problems on his homework, how long will it take him to complete his homework at the same pace?
Answer:
14.52 min
Step-by-step explanation:
7.5 prob in 10.33333 min
7.5/10.333 =.7258 prob per min
.7258 ×20 prob = 14.52 min
I converted to decimals but you don't have to
helpppplpppplllplplp!!!??!
Answer:
my answer came out to 8.3 repeating
Step-by-step explanation:
If you can answer this you get 20 points
Answer:
Rate of change for the second one (at the top) is 10
x- intercept is (-10,0)
y- intercept is (0,20)
Step-by-step explanation:
Answer:
in bold below
Step-by-step explanation:
Left Side
If we let the price be represented by p and the quantity by q, then a suitable equation is ...
p/30 +q/35 = 1 . . . . equation in intercept form
7p +6q = 210 . . . . . multiply by 210
p = -6/7q +30 . . . . solve for p
The slope is -6/7.
The "rate of change" is -6/7. (slope and "rate of change" mean the same)
The x-intercept is 35.
The number at the end is zero (35). (assuming "the end" is the right end of the graph)
The starting price is the y-intercept (30).
The rate of cost is the slope (-6/7).
__
Right Side
The cost starts at 20 and goes up 10 for each 5 games, so 2 per game. A suitable equation is ...
y = 2x + 20
The rate of change is 2.
The x-intercept is where y=0. It will be -20/2 = -10.
The y-intercept is 20.
_____
The graph has to do with games and cost, not minutes and feet. There is insufficient information to answer questions about minutes and feet.
_____
Comment on these questions
The notations "per billions" on the left graph cause it to make no sense whatever. The ideas of "starting" and "ending" are usually time- or sequence-related. The graph shows nothing to indicate time or sequence. The idea of "rate of cost" for TV's is nonsensical. (Cost is a rate: dollars per unit.)
Heellllpppp plzzzzzzzzzzz
Answer:
3/32
Step-by-step explanation:
the reason it’s 3/32 is because you have to divide 3/4 divide by 8. So that means 3/4x1/8 and that gives you 3/32. I hope that helped you!
Which of the four is it?
Answer:
option 1 i believe
Step-by-step explanation:
just worked it out
i hope this is right and helps <3
Q:What is the scale factor of this dilation?
1. 1/2
2. 1/3
3. 2
4. 3
Answer:
C. 2
Step-by-step explanation:
You can figure it out by multiplying the pre-image by 2 resulting in the image
Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests
every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
4
6
10
Is this equation correct? 6^3 • 7^3 = 42^3
Answer:
Yes.
Step-by-step explanation:
[tex]6^{3}[/tex] × [tex]7^{3}[/tex] = [tex]42^{3}[/tex]
74,088 = 74,088
What would make the following equation true?
-4+_____=2m+(3m-4)
im just timed on this, Just a lil help plz
Answer:
The answer is 6
Step-by-step explanation:
in the picture you provided. We can clearly see that there are 4 squared and 6 circles
b) Write the number 52100 as a power of 10.
Answer:
5.21 * 10^4.
Step-by-step explanation:
There are 4 more digits after the 5 so it is:
5.21 * 10^4.
[tex]52100 = 521 \times {10}^{2} = \\ [/tex]
[tex]5.21 \times {10}^{2} \times {10}^{2} = 5.21 \times {10}^{4} = \\ [/tex]
[tex]10 \times {10}^{4} = {10}^{5} [/tex]
HELP PLEASE GIVING BRAINLIEST AND 10 POINTS!!!!
Answer:
She can hike 24 miles in 12 hours. Have a nice day. :)
Step-by-step explanation:
Answer:
Step-by-step explanation: Im confised. so sorry
inequality is shown 1/8
Answer: answer is D 0.02
Step-by-step explanation:
Got it right
Max’s age is twice George’s age minus 5. The sum of Manuel’s age and Gupta’s age is 31. Let g represent George’s age. The equation 2g - 5 + g = 31 represents this situation. Complete this statement: Max is ____ years old and George is ____ years old.
The difference of two numbers is 12 while their product is 45. Find all
such numbers
Evaluate f(x) = -4x - 5 for x = -1.
A. -9
B. -1
C. 1
D. 4
Answer:
the answer is c. 1
Step-by-step explanation:
f(x)= -4x -5
f(-1)= -4(-1) -5
f(-1) =4 -5
f(-1)= -1
f(-1/-1) =-1/-1
f= 1
A bird park has black and white birds in the ratio of 8 to 2 as shown below.
Which is another ratio that can describe the black to white birds?
04 to 1
0 1 to 4
1 to 7
7 to 1
Yolanda purchased stock for $7,000 and paid a 1.5% broker fee. She sold it for $6,325 and paid a 0.5% broker fee. Compute her net proceeds.
Answer:
$-748.38
Step-by-step explanation:
Net proceeds = Total cost of selling the stock - Total cost of purchasing the stock
Total cost of purchasing the stock = $7000 + ($7000 x 0.015) = $7105
Total cost of selling the stock = $6,325 + ($6,325 x 0.005) = $6356.63
Net proceeds = $6356.63 - $7105 = $-748.38
will give out brainliest, a THX, a friend request, and will rate ur answer
Answer:
E. 35/4
Step-by-step explanation:
Multiply denominator (4) to the whole number (8) then add to the numerator (3)
(8× 4 + 3)/ 4
(32 + 3)/4
35/4
We need a rock garden with perimeter of 12 feet and an area of 8 square feet
Answer:
Width: 4
Length: 2
Step-by-step explanation:
Solve for s in terms of t, u, v, and w. su=twv
Answer:
Hi there
Your answer is
s= (twv)/u
Step-by-step explanation:
su=twv
/u
s= (twv)/u
You had planned to go out for pizza with your friends Saturday night. You’ve all gathered at your place but when you’re about to leave, it starts to snow heavily, so you decide to have a pizza party at your place. The pizza delivery guy shows up with your order much sooner than you expected. The bill is $133.32. How much would you tip him? Explain your reasons for deciding how much to tip.
Answer:
$20
Step-by-step explanation:
the delivery guy show up early and that guy deserve 20bucks
What is this expression in simplified form?