Answer:
By about 28% has the city grown over the past ten years.
Step-by-step explanation:
Ten years ago, the city's population was 249,583. Its current population is 318,270. By about 28% has the city grown over the past ten years. [ Solution: Population of the city before 10 years = 249583; Current population = 318270; Population grown =318270-249583 = 68687; 68687/249583 = 0.2752; 0.2752 x 100 = 27.52%. ]
Answer:
[tex] \frac{318270}{249583} = 1.277[/tex]
It has grown by 0.277;
by percentage this is;
[tex]0.277 \times 100 = 27.7[/tex]
27.7% increase
help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5, and h(x)=2x^2−4, find each of the following. Solve each of the problems showing work.
f(g(x))
h(g(x))
(h−f)(x)
(f+g)(x)
Answer:
check below!given functions:
[tex]\sf f(x)=x^2+3x-7[/tex]
[tex]\sf g(x)=3x+5[/tex]
[tex]\sf h(x)=2x^2-4[/tex]
solving steps:
(a)
[tex]\sf f(g(x))[/tex]
[tex]\sf \sf f(3x+5)[/tex]
[tex]\sf (3x+5)^2 + 3(3x+5)-7[/tex]
[tex]\sf 9x^2+30x+25+9x+15-7[/tex]
[tex]\sf 9x^2+39x+33[/tex]
(b)
[tex]\sf h(g(x))[/tex]
[tex]\sf h(3x+5)[/tex]
[tex]\sf 2(3x+5)^2-4[/tex]
[tex]\sf 18x^2+60x+50-4[/tex]
[tex]\sf 18x^2+60x+46[/tex]
(c)
[tex]\sf (h-f)(x)[/tex]
[tex]\sf 2x^2-4-(x^2+3x-7)[/tex]
[tex]\sf 2x^2-4-x^2-3x+7[/tex]
[tex]\sf x^2-3x+3[/tex]
(d)
[tex]\sf (f+g)(x)[/tex]
[tex]\sf x^2 + 3x -7 +3x+5[/tex]
[tex]\sf x^2+6x-2[/tex]
You lose track of how many 2-point baskets and 3-point baskets a team makes in a basketball game. The team misses all the 1-point baskets and still scores 54 points. The equation 2x+3y=54$ models the total points scored, where x is the number of 2-point baskets made and y is the number of 3-point baskets made. a. Find and interpret the intercepts.
Answer:
x-intercept: 27, the number of 2-pointers if no 3-pointersy-intercept: 18, the number of 3-pointers if no 2-pointersStep-by-step explanation:
Each intercept is found by setting the other variable to zero and solving for the variable value of interest.
2x +3y = 54
x-intercept:
2x = 54
x = 27
y-intercept:
3y = 54
y = 18
__
By definition, the intercept values are the values that satisfy the equation when the other variable is zero.
x-intercept: To score 54 points, the team would have to make 27 2-point baskets if no 3-point baskets were made.
y-intercept: To score 54 points, the team would have to make 18 3-point baskets if no 2-point baskets were made.
Chris bought 39 items at a yard sale for $9.75 each. About how much did he spend in all? (Use estimation)
Answer:
$390
Step-by-step explanation:
If you are going to estimate, you should round to the nearest one (for a whole number answer), so we would round $9.75 to $10.
39*$10 = 390
Estimate: $390
Exact answer: $380.25
(if you need it)
If 2 pints = 1 quart, how many pints are in a 26-quart container
Answer:
52 pints
Step-by-step explanation:
Given;
2 pints = 1 quart
To Find;
How many pints are in a 26-quart container
Solve;
Since 2 pints = 1 quart
Then the Formula = divide the volume value by 2
The equation for 2 pints = 1 quart is 2 ÷ x = 1
which x = 2.
Thus, the equation for 26 quart container = how many pints =
x ÷ 2 = 26
Divide/Multiply sides by 2
2x/2 = 26 * 2
Simplify
x = 52
Hence, there are 52 pints in a 26 quart container
~Learn with Lenvy~
Classify each expression by degree and by number of terms. Some answers may be used once and some way not be used at all so make sure you read carefully
Answer:
899
Step-by-step explanation:
+
Jim is putting money into a savings account. He starts with $350 in the savings account, and each week he adds $60.
Let S represent the total amount of money in the savings account in dollars), and let W represent the number of weeks Jim
has been adding money. Write an equation relating Sto W. Then use this equation to find the total amount of money in the
savings account after 16 weeks.
Equation:
Check
Save For Later
Submit Assignment
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Answer:
S= 350+60w
Step-by-step explanation:
tHanks again everyone
Let's solve
[tex]\\ \rm\rightarrowtail x+2<-3[/tex]
[tex]\\ \rm\rightarrowtail x<-3-2[/tex]
[tex]\\ \rm\rightarrowtail x<-5[/tex]
So
there is a open dot present over -5Less than means left side onwardsOption B
Please help asap! I will gave brainlest!
Step-by-step explanation:
[tex] \tan(x) \csc {}^{2} (x) - \tan(x) [/tex]
[tex] \tan(x) ( \csc {}^{2} (x) - 1)[/tex]
[tex] \tan(x) ( \cot {}^{2} (x) [/tex]
[tex] = \tan(x) \cot(x) \cot(x) [/tex]
[tex]1 \cot(x) [/tex]
[tex] = \cot(x) [/tex]
which describes the graph of y=-(x+1)^2-4? a. minimum at (-1,-4) b. maximum at (1,-4) c. maximum at (-1,-4) d. minimum at (1,-4)
Answer:
c. maximum at (-1,-4)
Step-by-step explanation:
just took a quiz
The graph has its maximum at (-1, -4).
y=-(x+1)^2-4
Maximum of the equation is to determine.
A cross section of the cone and represented by an equation y=4ax^2.
Here,
y=-(x+1)^2-4
While plotting the curve, the curve is maximum at (-1, -4) beside this point curve is decreasing.
Thus , the graph has its maximum at (-1, -4).
Learn more about parabola here:
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Sammy is making a Cartesian plane in math class. She needs to draw all of the quadrants. How many quadrants are in a Cartesian plane?
Answer:
4
Step-by-step explanation:
There is 4 quadrants in a Cartesian Plane.
I need help I didn't pay attention in class now I am lost.
There are 27 marbles in a blue jar. The blue jar has 9 times as many marbles as a red jar. Let n be the number of marbles in the red jar.
Answer:
n = 2.7
Step-by-step explanation:
Set up an algebraic expression: 9n + n = 27Combine like terms: 10n = 27Divide each side by 10 to cancel out the 10 next to n. It should now look like this: n = 2.7I really hope this helps!
HELP PLEASE !!!!!!!!!!!
[] The equation on the left, 292 [tex]\frac{1}{2}[/tex] = 18 * 6 [tex]\frac{1}{2}[/tex] * h
-> Volume is length times width times height. When we plug in all the values we have to solve for h (height) we get this equation.
[] The height is 2.5 inches
-> We will solve the equation above.
-> Multiply 18 by 6 and a half = 117
-> Divide 292 and a half by 117 = 2.5
-> The height is 2.5 inches or 2 [tex]\frac{1}{2}[/tex]inches
292 [tex]\frac{1}{2}[/tex] = 18 * 6 [tex]\frac{1}{2}[/tex] * h
292 [tex]\frac{1}{2}[/tex] = 117h
[tex]\frac{292 \frac{1}{2} }{117}[/tex]= [tex]\frac{117h}{117}[/tex]
2.5 = 1h
h = 2.5 inches
Given f(x)=6(1-x what is the value of f(-8)
Answer:The value of f(-8)=54
Step-by-step explanation:
you do the stuff in the parentheses first. When you subtract a negative number you actually add that number So it's 6 (1+8) 1+8=9. 6(9)=54
Sally puts $200.00 in a bank account. Each year the account earns 8% simple interest. How much interest will be earned in three years? A $16.00 B $24.00 C $48.00 D $160.00
Answer:
D
Step-by-step explanation:
7. The graph was made to compare the costs of renting copy machines
from Ames Business Product to those from Beck's Office Supply. What
information is given by the point of intersection of the two lines? *
The information given by the point of intersection of the two lines is (d) the number of copies for which the total cost per month is the same for both companies
How to interpret the point of intersectionThe point of intersection is the equilibrium point of both companies.
This means that, the point represents where the number of copies and the total cost per month for both companies is equal
Hence, the information given by the point of intersection of the two lines is (d)
Read more about point of intersection at:
https://brainly.com/question/9109827
Simplify by combining like terms. 8a3 + 9t + 7a3 + 6t + 8a2
Step-by-step explanation:
8a3 + 9t + 7a3 +6t + 8a2
8a³+7a³+8a²+9t+6t
15a³+8a²+15t
A home run is hit in such a way that the baseball just clears a wall 15.0 m high, located
152 m from home plate. The ball is hit at an angle of 34.0° to the horizontal, and air
resistance is negligible. Assume that the ball is hit at a height of 1.00 m above the
ground. Use significant figures in your final answer and show your work.
a. Find the initial speed of the ball. {8 Points}
Hang on I am figuring it out
What is the standard form polynomial that represents this product? (-2m^3 + 3m^2 - m)(4m^2 + m - 5)
Answer:
-8m^5+10m^4+9m^3-16m^2+5
Step-by-step explanation:
PLATO
The standard form is ( -8m⁵+10m⁴+9m³-16m²+15m ).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The expression will be solved as:-
E = ( 3m² - m )( 4m³ + m - 5 )
E = -8m⁵ - 2m⁴ + 10m³ - 15 m² - 4m³ - m² + 5m
E = ( -8m⁵+10m⁴+9m³-16m²+15m ).
Therefore, the standard form will be ( -8m⁵+10m⁴+9m³-16m²+15m ).
To know more about Expression follow
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Assessment Unit #1B
(FIF.2) Dora said that the mapping below does not represent a function because each value in the
domain is paired with the same value in the range. Explain the error in Dora's reasoning. (1 point)
6
-1
12
0.5
3
Answer:
i have no idea i think its 0.5 or 12
Step-by-step explanation:
1
9. Adam had 183 pieces of gum. He gave of the pieces to his sister. How many
3
pieces of gum does Adam have left?
Hi!
Your answer will be: 180.Reason being: 183-3=180. Also, 180+3=183.
Hope this helps!
Yours Truly,
~~~PicklePoppers~~~Mike can run 1/2 mile in 1/15 of an hour. How many miles can mike run in 1 hour?
i need answer fast
Subtracting a number is the same as adding it’s opposite. Use the his understanding to complete each of the equations below.
Do you have the problems that need completing?
Evaluate -4|-4|.
0-8
8
16
-16
9514 1404 393
Answer:
-16
Step-by-step explanation:
The absolute value function gives the positive value of the argument, so this is ...
-4|-4| = -4·4 = -16
You are making a blanket with a fringe border of equal width on each
side. (Section 7.1 and Section 7.2)
Answer:
Step-by-step explanation:
What is 0.801 in words?
Answer:
How to Write Out Number 0.801 in Words: eight hundred one thousandths in (US) American English, Number Converted (Spelled Out) to Words.
can someone please explain? lol
Answer:
10.235 in²225 cm²Step-by-step explanation:
The area of a triangle is half the product of its base and height.
A = 1/2bh
a)A = 1/2(2.3 in)(8.9 in) = 10.235 in²
__
b)A = 1/2(15 cm)(30 cm) = 225 cm²
Plz Plz answer this!!!!! You’ll get brainliest if ur right and ull get 15 points Plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz
Answer:
the last one
Step-by-step explanation:
Find the perimeter of a triangle with sides measuring 10 inches, 14 inches and 15 inches
Answer:
39
Step-by-step explanation:
Answer:
39 inches
Step-by-step explanation:
Perimeter is found by adding the sides of the object together.
10in. + 14in. + 15in. = 39in.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
thanks again everyone
Answer:
5 gallons
conversion:
2 cups → 1 pint2 pints → 1 quart 4 quarts → 1 gallonwe have here total 80 cups.
2 cups → 1 pint80 cups → 40 pints
Then convert it into quartz
2 pints → 1 quart40 pints → 20 quartz
Then convert quartz into gallons
4 quarts → 1 gallon20 quartz → 5 gallons