Answer:
f(x) = −6(x+ 1)(x +5)
Step-by-step explanation:
x-intercepts at (−1, 0) and (−5, 0)
so the roots are -1 and -5 (where the graph intersects the x-axis)
this will give us that f(x) = (x- root1)(x-root2) = (x- -1)(x- -5) = (x+1)(x+5)
y-intercept at (0, −30) is telling us that when x= 0 the y = -30
y = a ( x+1)(x+5) , in general
y = a(0+1)(0+5), is the equation if x=0
-30 = a·1·5, we need y= -30 when x= 0
-30 = 5a , divide both sides of the equation by 5
-6 = a
The correct choice is :
f(x) = −6(x+ 1)(x +5)
f(x) = −6(x − 1)(x − 5)
f(x) = −5(x +1)(x +5)
f(x) = −5(x − 1)(x − 5).
2x-5(x - 4) = - 7+ 5x – 21
Find X
Answer:
x=6
Step-by-step explanation:
2x-5x+20=-7+5x-21
-3x-5x=-7-21-20
-8x=-48
x=6
Answer:
x=6
Step-by-step explanation:
2x-5x+20=5× -28
-3x+20=5x-28
-8x=-48
x=6
check:
2x-5(2)=-30-28
12-10=2
2=2
PLEASE HELP!!!,,,,,,
Answer:
The solution to the system is: (3, 2)
Step-by-step explanation:
We are given:
y = -2x + 8
and
4x - 2y = 8
We are given the "y" in this equation.
So when solving these questions, it is better to use the substitution method when solving
So we substitute "y = -2x + 8" with "y" in the equation "4x - 2y = 8
So, the equation would look like this: 4x - 2(-2x + 8) = 8
And we are solving for "x" in the equation
4x − 2(−2x + 8) = 8 (Distribute)
−2(−2x+8) (Simplify)
4x + 4x − 16 = 8 (Combine Like Terms)
(4x + 4x) − 16 = 8 (Simplify)
8x − 16 = 8 (Add 16 to both sides)
8x - 16 + 16 = 8 + 16 (Simplify)
8x = 24 (Divide both sides by 8)
8x/8 = 24 (Simplify)
x = 3
Now that we know the "x", in this equation, we can solve for the "y"
We just substitute the "x" into the equation "y = -2x + 8"
The equation looks like this: y = -2(3) + 8
y = -2(3) + 8
Multiply −2 and 3 to get −6
y = -6 + 8
Add −6 and 8 to get 2
y = 2
(x, y) = (3, 2)
The solution to the system is: (3, 2)
(7x10^5)x(3x10^2) in standard form
Answer:
2.1 x 10^8
Step-by-step explanation:
The expression (7x10⁵)x(3x10²) in the standard form will be 2.1 x 10⁸.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is (7x10⁵)x(3x10²). The standard form of the expressions can be written as,
E = (7x10⁵)x(3x10²)
E = ( 7 x 3 ) x ( 10⁵⁺²)
E = 21 x 10⁷
E = 2.1 x 10⁸
Hence, the standard form is 2.1 x 10⁸.
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In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses
Answer:
16 horses and 12 chickens
Number of chickens and Number of horses are 16 and 12 respectively.
Number based problem:Given that:
Total number of heads = 28
Total number of legs = 80
Find:
Number of chickens and horses
Computation:
Assume;
Number of chickens = a
Number of horses = b
So,
a + b = 28 ........ Eq1
2a + 4b = 80 ...... Eq2
From Eq1 and Eq2
b = 12
a = 16
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Pls help me with some math
Which statements are true when solving x^2=81
Answer:
D.) the solution is 9
Step-by-step explanation:
9x9 = 81
What is 7/10 equivalent to write the answer in fractions
Madeleine had 4 pizzas at her house. After giving some of the pizza to her neighbor, Madeleine had 2 12 pizzas left. How many pizzas did Madeleine give to her neighbor?
factor the following form
X^3+ 27=0
Is it Possible for the expression 1+|a| to have a result that is less than 0?
Answer:
No
Step-by-step explanation:
Since a is in absolute value symbols, you would be adding a positive number to 1, and therefore cannot have a number lower than 0.
For example, say a = -3. We would get 1 + |-3| = 4.
Answer:
No
Step-by-step explanation:
Because the vertical lines mean the absolute value of a.
- a negative value of a like -2 in vertical lines has absolute value 2.
If a = 0 then absolute value = 0.
So 1+|a| will always be positive.
what percentage of students were surveyed between the ages of 10-13?
Answer:
60%
Step-by-step explanation:
The total is 90 students, and 54/90 is 0.6. 0.6 is equal to 60%!
I don't get my question for my homework. Here is the questions, "You have 46 gold coins, 115 diamonds, and 184 rubies. You need to put them in treasure chests, and each chest must contain the same number of each individual item. What is the greatest number of treasure chests you can fill? How many gold coins in each chest? How many diamonds in each chest? How many rubies in each chest? " This is the type of question. There is also one more problem I'm stuck on. "You and some friends took a metal detector to the beach every day for a week to search for coins. You managed to find 246 nickels, 312 dimes, and 204 quarters. When you divided them up, you realized that each person got the same exact amount of each coin with no coins remaining. How many are in your group? How many nickels did each person receive? How many dimes did each person receive? How many quarters did each person receive?" Please help me out! Thanks
Answer:
Question 1
The greatest number of treasure chest you can fill = 23
Step-by-step explanation:
Gold coins = 46
Diamonds = 115
Rubies = 184
To determine the greatest number of treasure chests you can fill, find the highest common factors of 46, 115 and 184
46 = 1, 2, 23, 46.
125 = 1, 5, 23, 115
184 = 1,2,4,8,23,46,92,184
The highest common factors of 46, 115 and 184 is 23
The greatest number of treasure chest you can fill = 23
Number of gold coins in each chest = 46/23
= 2
Number of diamonds in each chest = 115 / 23
= 5
Number of rubies in each chest = 184 /23
= 8
Question 2
Nickels = 246
Dimes = 312
Quarters = 204
Find the highest common factor of 246, 312, 204
246 = 1, 2, 3, 6, 41, 82, 123, 246
312 = 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312.
204 = 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The highest common factor of 246, 312, 204 is 6
How many are in your group?
6 members
There are 6 members in your group that each person got the same exact amount of each coin with no coins remaining.
Number of nickels each person receive = 246 / 6
= 41
Number of dimes each person receive = 312 / 6
= 52
Number of quarters each person receive = 204 / 6
= 34
In a chess match, a win counts as 1 point, a draw counts as ½ point, and a loss counts as 0 points. After 15 games, the winner was 4 points ahead of the loser. How many points did the loser have?
Answer:
The loser had 5.5 points
The he winner had 9.5 points
Step-by-step explanation:
9.5 - 5.5 = 4
5.5 + 9.5 = 15
Answer these i have all the answers already just testing Tyyyyy <3
BRAINLIEST GIVEN
Answer:
1. B
2. A
3. C
4. A
I hope this helps!
Helppp! you could get brainly for correct answer
You have six pizza toppings. How many different 3-topping pizzas can you make?
20
24
120
30
20 different pizzas
==========================================================
Explanation:
Consider 3 slots to fill. I'll label them slot A, B, C.
There are 6 choices for slot A, then 5 choices for B, and 4 for C. We count down by one each time since we cannot reuse a topping.
There would be 6*5*4 = 30*4 = 120 permutations if order mattered.
However, order doesn't matter with pizza toppings. So we must divide by 3*2*1 = 6 (this is the number of ways to arrange any group of 3 things)
We get 120/6 = 20 as the final answer
---------------------
Alternatively, you can use the nCr combination formula following these steps.
n C r = (n!)/(r!(n-r)!)
6 C 3 = (6!)/(3!*(6-3)!)
6 C 3 = (6!)/(3!*3!)
6 C 3 = (6*5*4*3!)/(3!*3!)
6 C 3 = (6*5*4)/(3!)
6 C 3 = (6*5*4)/(3*2*1)
6 C 3 = (120)/(6)
6 C 3 = 20 different pizzas possible
As the third to the last line shows, we have 6*5*4 up top and 3*2*1 down below. This matches exactly what was discussed in the previous section.
---------------------
Yet another alternative is to use Pascal's Triangle (see below) and we locate the row that has 1,6,... at the start. We circle the fourth item of this row that corresponds to 6C3 = 20
Which compound inequality is represented by the graph?
Answer:
The third option, x < -2 or x ≥ 4
Step-by-step explanation:
First, we need to interpret the graph.
There is an open circle at -2 and a closed circle at 4, which means that x does not include 2 and includes 4.
The left arrow points to numbers lower than -2, and the right arrow points to numbers greater than 4, so X is less than -2 and greater than 4.
a
Eight people want to enter an elevator
with a maximum weight capacity of
500 kilograms. Their weights in kilograms
are 81, 97, 69, 75, 74, 96, 86, and 53.
What is their total weight? How many
people should wait?
Step-by-step explanation:
total weight = 81 + 97+69+75+74+96+86+53 = 613kg
2 people will have to wait
Problem 1. 1
Jada paints a circular table that is 30 inches across.
Is the circumference of the circle or the area of the circle
more useful for finding how much paint she needs?
Circumference
Area
How much paint does she need?
square inches
Submit
??? What is it
Answer:
Minor note: A table is circular.In this case, the area is more useful to find out how much the paint covers.
This is, because the circumference is the perimeter of the table whilst the area is the whole region of the table.
So to find out the area of this table, we must use the formula for the area of a regular circle.
A = π[tex]r^{2}[/tex]
Where 'π' represents pi(22/7 or 3.14), and 'r' represents the radius which is being squared.
But, if we see the information that we have, we can see that it gives the diameter and not the radius.
So in order to find out our radius, we must perform 1/2 of the diameter(1/2 x diameter) to find the radi.
30(diameter) x 1/2
= 15 is the radius.
Now we substitute this value into our equation, since it's the only information we need.
A = π[tex]r^{2}[/tex]
A = 3.14(15^2)
A = 3.14(225)
A = 706.5 square inches of paint is needed to cover the table.
Somebody please help me on multiple step equations with parenthesis.
Answer:
k = 8
Step-by-step explanation:
8(10 - k) = 2k
First, distribute within the parenthesis,
80 - 8k = 2k
Add 8k to both sides of the equation
80 = 10k
Divide both sides by 10 to get your answer
8 = k
I hope this helps :)
on the number line, point b is between points a and c. the distance between points a and b is 1/3 of ac.
Step-by-step explanation:
find distance of AC first
ac= √(y2-y1)²+(x2-x1)²
since there is no y we will consider it zero
so Ac= √(16-(-8))²
ac=24
ab is 1/3 of ac so it means
24*1/3=8
so ab is 8 units
The location of point B on the number line is 0.
Given that,
on the number line, point b is between points a and c. the distance between points a and b is 1/3 of ac.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
AB = 1/3 AC
AB = 1/3 (16 - (-8))
AB = 1/3 (16 + 8)
AB = 1/3 * 24
AB = 24 / 3
AB = 8
B - A = 8
B - (-8) = 8
B + 8 = 8
B = 8 - 8
B = 0
Thus, location of the point B on the number line is at 0.
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If these four countries trade only within this group, what is the difference between the highest balance of trade and the lowest balance of trade? a. $6,221,000,000 b. $5,003,000,000 c. $3,772,000,000 d. $2,123,000,000.
Balance of trade is the difference that is between the value of a country's exports and the value of its imports.
What is a balance of trade?
Your information is incomplete. Therefore, an overview will be given. The balance of trade or net exports, is the difference between the monetary value of a nation's exports and imports over a period.
The balance of Trade formula = Country's Exports – Country's Imports.
For example, suppose the USA imported $1.8 trillion but exported $1.2 trillion to other countries, then the USA had a trade balance of -$600 billion.
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Answer:
The correct answer is A. $6,221,000,000
Step-by-step explanation:
just took the test
You and two friends were playing baseball in your backyard. Your friend hit the ball over the fence and into the neighbor's window. You and your two friends decided to evenly split the cost of repairing the window that will cost $148.89 for the glass, plus $52.50 for labor. What is your share of the total cost to replace the window?
Answer:
100.695
Step-by-step explanation:
common fruction
2/3
[tex]2 \div3 + 4 \div 3[/tex]
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[tex] \frac{2}{3} + \frac{4}{3} = \frac{6}{3} = 2 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
(1.7x10^4) x (8.5x10^-2)
Step-by-step explanation:
(1.7x10^4) x (8.5x10^-2)
17000 × 0.085
= 1445
you had $22 to spend on three pretzels. After buying them you had $15.70.How much did each pretzel cost?
Answer:
Each pretzel had cost $6.30
Step-by-step explanation:
You would have to subtract 22.00 - 15.70 and that would be your answer ($6.30)
Answer:
Each pretzel cost $2.10
Step-by-step explanation:
First,
Take your original amount and subtract it by your remanding amount:
22 - 15.70 = 6.30
Then, divide by three, since we bought three pretzels:
6.30 / 3 = 2.10 or 6.30 ÷ 3 = 2.10
So, each pretzel cost $2.10
A grocer mixes peanuts that cost $1.41 per pound and walnuts that cost $2.61 per pound to make 100 pounds of a mixture that costs $1.89 per pound. How much of each kind of nut is in the mixture?
w = 60 lb (amt. of walnuts needed)
100-w = 40 lb (amt. of peanuts needed)
find the length of the circumference of the circles under the following condition, take pie =3.14
pls show me explanation question no 1,
radius =20 cm
Answer:
The answer is 125.66 cmStep-by-step explanation:
Circumference of a circle = 2πr
where
r is the radius
From the question
r = 20 cm
We have
C = 2(20)π
= 40π
= 125.663706143592...
We have the final answer as
125.66 cmHope this helps you
Need help asap giving 15 points
Answer:
197 in^2
Step-by-step explanation:
See attached image
A slope of -5 that passes through (2,15)
Answer:
y=-5x+25
That is the answe in slope intercept form
help me asap for 100 points
Which net represents this solid figure?
Answer:
its the one on the bottom left.
it has the proper demision just look at the sides and they match up
Hope This Helps!!!
Answer: The net which can represent the solid figure given in image 1 is the net in image 4.
Step-by-step explanation: