Step-by-step explanation:
y = -x²+6x-5
x-intercept => y= 0
-x²+6x-5=0
x²-6x+5=0
(x-5) (x-1) =0
x= 5 or x=1
(1, 0) and (5, 0)
In 2000, the population of a town was 46,020. By 2002 the population had increased to 52,070. Assuming that the towns population is increasing linearly answer the following questions.
- What is the population of the town by 2006?
- What year will the towns population reach 75,000?
Answer: To answer these and related questions, we can create a model using a linear function. ... When modeling scenarios with linear functions and solving problems ... A town's population has been growing linearly. ... Assume this trend continues. ... Identify the year in which the population will reach 15,000.
Step-by-step explanation: Done :P
Pizza Uno offers 2/3 of a small pizza for $3.50. Pizza Duo offers % of a small pizza for $4.20. How much does each charge for a whole small pizza?
Show your work and remember to answer the question.
PLSS ANSWER!!!! ILL GIVE BRAINLIEST!
Answers:
Pizza Uno = $5.25Pizza Duo = $5.60Those are the costs for a whole small pizza.
==========================================================
Explanation:
Let
x = cost of whole small pizza from Pizza Unoy = cost of whole small pizza from Pizza Duox and y are some dollar amount, so they cannot be negative numbers. It also doesn't make sense to have them be 0 either. So we'll make them positive.
2/3 of x is equal to 3.50 as the first sentence mentions. This forms the equation (2/3)*x = 3.50
Multiply both sides by the reciprocal of 2/3 to isolate x
(2/3)*x = 3.50
(3/2)*(2/3)*x = (3/2)*3.50
x = 5.25
Pizza Uno charges $5.25 for a whole small pizza.
----------------------------
Pizza Duo charges $4.20 for 3/4 of a small pizza, meaning the equation we need to solve is
(3/4)y = 4.20
We'll use the same idea as the last equation to get...
(3/4)y = 4.20
(4/3)*(3/4)y = (4/3)*4.20
y = 5.60
Pizza Duo charges $5.60 for a whole small pizza.
Pizza Uno is the better deal (assuming both pizzas taste the same or you don't have a preference for either). You would save $5.60 - $5.25 = $0.35 = 35 cents.
Which expression represents the length of the hypotenuse, c, of the triangle below?
Pleaseeeeee I neeed helpppp
Answer:
C) [tex]c=\sqrt{a^{2} +b^{2} }[/tex]
Step-by-step explanation:
The Pythagorean Theorem states that for a right triangle, the relationship between its three sides is [tex]a^{2} +b^{2} =c^{2}[/tex] where [tex]a[/tex] and [tex]b[/tex] are side lengths and [tex]c[/tex] is the length of the hypotenuse. This means that the length of the hypotenuse is [tex]c=\sqrt{a^{2} +b^{2} }[/tex] by taking the square root of both sides to solve for [tex]c[/tex], making option C correct.
Thank you Brainly for helping me beat edg2020-2021
Answer:
Wat does that mean?
Step-by-step explanation:
0.05/50
pls help me i don’t understand
Answer:
plug it into a calculator and you get 0.001
Step-by-step explanation:
50/50=1
then put in the decimal places to get 0.001
[tex]3^{x} = 4[/tex]
4^{y} = 12
estimate xy
9514 1404 393
Answer:
xy ≈ 2.3
Step-by-step explanation:
Logarithms can be used to find x and y.
3^x = 4
x·log(3) = log(4)
x = log(4)/log(3)
__
4^y = 12
y = log(12)/log(4)
__
Then xy is ...
xy = log(4)/log(3) × log(12)/log(4) = log(12)/log(3)
xy ≈ 1.079/0.477
xy ≈ 2.26
(x-1)/4=(x-4)/5 pls tell fast with steps
i will mark brainliest
Answer:
x= -11
Step-by-step explanation:
The cost of a book, pen and box is Rs 48, rs 32 and rs 80.find the smallest sum of money with which exact number of book, pen and boxes can be purchased
Answer:
I think that these are only the smallest sum of money that can be purchased
I need a bit of help pls.
Answer:
#1. 150, #2. 650, #3. 2 PM to 4 PM #4. 8AM to 4PM (8 hours) #5. the frequency of weight in pounds #6. 22 cats
#7. 1 - 40 pounds #8. 11 - 20 pounds
HELP ASAP Graph 3x-2y=16
Answer:
Since The graph of linear equation 3x + 2y = 16 cuts y-axis
So
x = 0
The required point is (0,8)
Step-by-step explanation:
I need help with a math equation, it’s due by 3:00.
Answer:
2x -7
2x 4x² -14x
-1 -2x +7
Step-by-step explanation:
4x²-16x+7 factors as
(2x-7)(2x-1)
So the grid would be:
2x -7
2x 4x² -14x
-1 -2x +7
Find the area of each figure. Round to the nearest tenth if necessary.
Answer:
Solution given:
1.
diameter(d)=6mm
base(b)=8mm
height (h)=5mm
Area of figure=area of parallelogram +area of semi circle
base*height+½π(d/2)²8*5+½*π×(6/2)²40+14.1454.4mm²Area :54.14mm²2.
for triangle
base[b]=6ft
height(h)=9ft
for square
length[l]=9ft
Area of figure=area of square +area of triangle
=l²+½*b*h=9²+½*6*9=81+27=108ft²Area: 108ft²A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What is the area of the flower bed
9514 1404 393
Answer:
625 square feet
Step-by-step explanation:
The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is
A = (25 ft)² = 625 ft²
The maximum possible area is 625 ft².
__
In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.
C. 20 people show up to the party, and Robert decides to give them each the
same amount of pizza. How much pizza does each person get?
Answer:
Step-by-step explanation:3/5 of the pizza
A cab company charges a flat fee of $4 for a new passenger. it then charges $2.35 per mile until until the destination is reached
1- 4m+ 2.35=total cost
2- 4m-2.35=total cost
3- 2.35-4m= total cost
4- 2.35m+4=total cost
PLEASE I NEED ANSWERS!!
Answer:
number 2 is your answer for your problem
Help me find the volume of the figure.
Answer:
Step-by-step explanation:
since it is a cuboid use this formula
volume of a cuboid=l*w*h
=2*8*3
Help Please!
which of the following is the solution to the inequality below?
-6(4-x) = -4(x+1)
A. X=10
B. X=2
C. X>/=10
D. X>/=2
Answer:
The answer to this question is x=2
In order to determine if there is a significant difference between campuses and pass rate, the chi-square test for association and independence should be performed. What is the expected frequency of West Campus and failed
Answer:
57.5
Step-by-step explanation:
The expected frequency of West Campus and Failed :
Let :
Failed = F
East Campus = C
West Campus = W
Passed = P
Frequency of FnW :
[(FnE) + (FnW) * (PnW) + (FnW)] / total samples
[(52 + 63) * (63 + 37)] / 200
[(115 * 100)] / 200
11500 / 200
= 57.5
n(Failed n East campus)
Answer:
57.5
Step-by-step explanation:
Got it right on the test.
30
7
0.7
dbksb
FS MATHS L2
Practise the Skill
1)
There are 14 women and 7 men in a café.
What is the probability that a person picked at random will be a woman?
Give your answer as a fraction in its lowest terms.
2)
Sally has a pack of playing cards and she chooses a card at random.
a) What is the probability that she picks an ace?
Give your answer as a fraction in its lowest terms.
Answer:
1) 2/1
2) 13/1
Step-by-step explanation:
Describe the transformation of f(x) to g(x).
g(x)
O A. f(x) is shifted down 2 units to g(x).
O B. f(x) is shifted up 2 units to g(x).
O c. f(x) is shifted up 5 units to g(x).
OD. (x) is shifted down units to g(x)
The transformation of f(x) to g(x) is f(x) is shifted down 2 units to g(x).
The correct option is (A)
What if transformation of a function?
Transformations of functions mean transforming the function from one form to another. Transformation of functions is a unique way of changing the formula of a function minimally and playing around with the graph.
The given function f(x)= sin x
In the graph there is vertical shift from f(x) to g(x)
We know, the vertical shift depends on the value of k
When k>0, the vertical shift is described as
g(x)=f(x)+k- The graph is shifted up k units.g(x)=f(x)−k - The graph is shifted down k units.If we closely look at the graph the vertical distance in negative y-axis,
the distance between line f(x) and g(x) is from 0 to -2.
So, there is shifting of -2 units means there is downward shifting.
i.e., k=2
Hence, f(x) is shifted down 2 units to g(x).
Learn more about transformation of function here:
https://brainly.com/question/10377001
#SPJ2
180 lb 12 oz - 79.3 kg = ___________ kg
Answer:
[tex]180lb\ 12 oz - 79.3kg = 2.8kg[/tex]
Step-by-step explanation:
Given
[tex]180\ lb 12\ oz - 79.3kg[/tex]
Required
Solve
First, convert 180lb to kg
[tex]1lb \to 0.454kg[/tex]
[tex]180lb \to 180 *0.454kg[/tex]
[tex]180lb \to 81.7kg[/tex] -- to 1dp
Next, convert 12oz to kg
[tex]1oz \to 0.03kg[/tex]
[tex]12oz \to 12 * 0.03kg[/tex]
[tex]12oz \to 0.4kg[/tex] --- to 1 dp
So, the expression becomes:
[tex]180\ lb 12\ oz - 79.3kg[/tex]
[tex]81.7kg + 0.4kg - 79.3kg[/tex]
[tex]= 2.8kg[/tex]
Hence:
[tex]180lb\ 12 oz - 79.3kg = 2.8kg[/tex]
(k+1)x^2-8kx+(3k+5) calculate the value for k
Answer:
Step-by-step explanation:
Let's simplify step-by-step.
(k+1)(x2)−8kx+3k+5
Distribute:
=(k)(x2)+(1)(x2)+−8kx+3k+5
=kx2+x2+−8kx+3k+5
Answer:
=kx2−8kx+x2+3k+5
Only got two days this is last resort wouldn’t mind help
Answer:
Option C.
Step-by-step explanation:
If we have two functions:
f(x) and g(x)
the product is given by:
(f*g)(x) = f(x)*g(x)
So, if here we have
f(x) = √(3*x)
g(x) = √(48*x)
And remembering that the square root is distributive, so:
√a*√b = √(a*b)
We can write:
(f*g)(x) = f(x)*g(x) = √(3*x)*√(48*x) = √(3*x*48*x)
= √(3*48*x*x) = √(144*x^2) = √(144)*√(x^2)
And here we can use that:
12*12 = 144, then √144 = 12
and
x*x = x^2, then √x^2 = x
So:
√(144)*√(x^2) = 12*x
Then the correct option is C.
Please also on this 1
Compare the temperature change for the two masses of cold water (50 grams and 100 grams) when the same amount of hot water was added. What do you discover?
Answer:
Step-by-step explanation:
All other things being equal (and there are a lot of other things) the 50 gram mass will show a larger temperature
increase than the 100 gram mass.
Why?
The formula is the same from both masses of water (50 grams and 100 grams)
The amount of heat added is the same. (Instead of using hot water, we'll a hot plate on a very low temperature but above what they are now.).
We'll leave it on until we see a rise in temperature delta(t1) = 10 degrees
mc delta(t) = m1 * c * delta(t1)
m = 100
m1 = 50 grams.
c is going to be divided out
we'll solve for the ratio of delta(t) / delta(t1)
100 * delta(t) = 50 (delta(t1)
100 * delta(t) = 50*10
delta(t) = 50*10/100
delta(t) = 5 degrees.
Though this may look rather convoluted, the result is telling us is that delta(t1) for the 50 gram mass is twice as big as as for the 100 gram mass.
The 100 gram mass only rises 5 degrees.
The 50 gram mass rises 10 degrees.
Answer:
50 gram mass will show a larger temperature
increase than the 100 gram mass.
Step-by-step explanation:
50 gms water at 20 ⁰ C and 50 gms of water at 40⁰ C are mixed. Since the masses of the liquid at different temperatures are same, the answer is very easy and simple : average of 20⁰C and 40⁰C. that is: 30⁰C.
Please Like
3x + 8 + 5x = 3 to the second power
Answer:
-0.625 = X
Step-by-step explanation:
Distributive Property
Answer:
x = 1/8
Step-by-step explanation:
3x + 8 + 5x = 3 to the second power
8x + 8 = 9
x = 1/8
for his long distance phone service, lamar pays a 6 dollar monthly fee plus 8 cents per minute. last month, lamars long distance bill was 14.96. for how many minutes was lamar billed
Answer:
112
Step-by-step explanation:
14.96-6 = 8.96, divide 8.96 by 0.08 and it comes out to 112 which would be how much minutes in total Lamar used.
0.08 being cents per minute
8.96 being the total amount used after the initial $6 monthly fee
1) complete the special right triangle
what is length of BD
what is length of BC
Answer:
[tex]BD = 4[/tex]
[tex]BC =4\sqrt 3[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find BD and BC
Solving BD
Considering angle at D, we have:
[tex]\cos(D) = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos(60) = \frac{BD}{8}[/tex]
Solve for BD
[tex]BD = 8 * \cos(60)[/tex]
[tex]\cos(60) = 0.5[/tex] So:
[tex]BD = 8 * 0.5[/tex]
[tex]BD = 4[/tex]
To solve for BC, we make use of Pythagoras theorem
[tex]CD^2 = BC^2 + BD^2[/tex]
This gives
[tex]8^2 = BC^2 + 4^2[/tex]
[tex]64 = BC^2 + 16[/tex]
Collect like terms
[tex]BC^2 =64-16[/tex]
[tex]BC^2 =48[/tex]
Take square roots
[tex]BC =\sqrt{48[/tex]
Expand
[tex]BC =\sqrt{16*3[/tex]
Split
[tex]BC =\sqrt{16}*\sqrt 3[/tex]
[tex]BC =4\sqrt 3[/tex]
PLEASE PLEASE HELP ME!
Erin drinks one-half of a gallon of milk in four days. If she continues to drink the same amount every day, what is her daily rate of consumption?
A.18gallons/daily
B.27gallons/daily
C.78gallons/daily
D.2gallons/daily
Answer:
D
Step-by-step explanation:
1/2 ×4 =2
5x (2yz + 4y - 3)
Use the distributive property to simplify the expression
Answer:
10xyz + 20xy - 15x
Step-by-step explanation:
5 x ( 2yz + 4 y - 3)
using the Distributive property multiply the each term by 5x
5x × 2yz + 5x × 4y - 5x × -3
calculate the product
10xyz + 20xy - 15x
Answer:
10xyz+20xy-15
Step-by-step explanation: