Answer:
-(x-3)²+14
maximum
(3,14)
Step-by-step explanation:
y= -x²+6x+5
y-5= -x²+6x
y-5= -(x²-6x)
complete the square
y-14= -(x²-6x+9)
x²-6x-9= -(x-3)²
y-14= -(x-3)²
y= -(x-3)²+14
maximum because a is negative
vertex is (3,14)
Ivan and Tanya share £150 in the ratio 4 : 1
Work out how much more Ivan gets compared to Tanya.
Answer:
Step-by-step explanation:
120 : 30
ivans get £90 more
My pigg y bank has only pennies and nicklels in it , and 2/7 of the coins are nickel If i remove 84 pennies then 1/3 of the remening are pennies 1} suppose there are initially p pennies and n nickels in the pigy bank write an equation using the fact that 2/7 of the coins initially in the
Answer:
There are 105 pennies in the piggy bank.
There are 42 nickels in the piggy bank.
Step-by-step explanation:
there are:
p pennies in the piggy bank
n nickels in the piggy bank
Then we can define T, the total number of coins, as:
T = p + n
We know that 2/7 of the total number of coins are nickels.
This can be written as:
n = (2/7)*T = (2/7)*(n + p)
And if we remove 84 pennies, 1/3 of the remaining coins are pennies.
This can be written as:
p - 84 = (1/3)*(n + p - 84)
Then we have a system of two equations:
n = (2/7)*(n + p)
p - 84 = (1/3)*(n + p - 84)
Let's solve the system, to do it, we first need to isolate one of the variables in one of the equations.
We can isolate n in the first one, to get:
n = (2/7)*(n + p) = (2/7)*n + (2/7)*p
n - (2/7)*n = (2/7)*p
n*(5/7) = (2/7)*p
n = (7/5)*(2/7)*p = (2/5)*p
n = (2/5)*p
Now we can replace this in the other equation:
p - 84 = (1/3)*(n + p - 84)
p - 84 = (1/3)*( (2/5)*p + p - 84)
Let's solve this for p
p - 84 = (1/3)*( (7/5)*p - 84)
3*(p - 84) = (7/5)*p - 84
3p - 252 = (7/5)*p - 84
3*p - (7/5)*p = 252 - 84
(15/5)*p - (7/5)*p = 168
(8/5)*p = 168
p = (5/8)*168 = 105
There are 105 pennies in the piggy bank.
And we know that:
n = (2/5)*p = (2/5)*105 = 42
There are 42 nickels in the piggy bank.
The product of sinA x cotA is
==========================================
Work Shown:
sin(A)*cot(A)
sin(A)*( cos(A)/sin(A) )
cos(A)
--------------
Basically I replaced cot(A) with cos(A)/sin(A). Then the sin(A) terms canceled out leaving cos(A) behind.
Answer:
cosA
Step-by-step explanation:
Using the identity
cotA = [tex]\frac{cosA}{sinA}[/tex] , then
sinA × cotA
= sinA × [tex]\frac{cosA}{sinA}[/tex] ( cancel sinA )
= cosA
i used to describe a food item having a spicy or salty quality without being sweet?
Answer:
UMAMI I think may be the answer to your question
What is the simplified value of the exponential expression 273?
不
1
Ο Ο Ο
9
Answer:
The answer is 3
For the steps, Im leaving it blank for you to figure it out first.
If you really need help, ask anytime and I'll reply as soon as i can :)
On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2). Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
Surface area of a cube please HELP HELP HELP
Answer:
The surface area of the cube is 294 m^2
Step-by-step explanation:
The formula for the surface area of a cube is:
(a^2) 6
Explanation behind formula:
a represents the side length. a^2 is the area of one face of the cube. Multiply that by 6 because there are 6 faces on a cube.
(Surface area- the area of each face of a figure)
Use formula with the given:
(7^2) 6 = 294
Surface area is measured in square meters.
(meters in this situation)
Therefore, the surface area of the cube is
294 m^2
Hope this helps!
Answer:
294
Step-by-step explanation:
formula is = 6(side length)^2
6x(7)^2
=294
Please answer i will give brainliest
A square coffee shop has a perimeter of 20 meters. How long is each side of the coffee shop?
Answer:
5 Meters
Step-by-step explanation:
Perimiter of a square would be P/4
So we take 20 and divide it by four.
We would get 5 as a result so each side is 5 meters.
Hope this helps.
If f(1) = 2 and f(n) = f(n − 1)^2 + 3 then find the value of f(3).
===========================================================
Explanation:
Let's use the recursive rule to find f(2)
We'll plug n = 2 into the second equation to find that...
f(n) = ( f(n-1) )^2 + 3
f(2) = ( f(2-1) )^2 + 3
f(2) = ( f(1) )^2 + 3
f(2) = ( 2 )^2 + 3
f(2) = 4 + 3
f(2) = 7
Notice in the jump from lines 3 to 4, we go from f(1) to 2. So f(2) is dependent on what f(1) is.
In other words, the second term is dependent on the first term.
--------------------
Likewise, f(3) is dependent on f(2)
Plug n = 3 into the recursive definition to find the following
f(n) = ( f(n-1) )^2 + 3
f(3) = ( f(3-1) )^2 + 3
f(3) = ( f(2) )^2 + 3
f(3) = ( 7 )^2 + 3
f(3) = 49 + 3
f(3) = 52
The third term of this recursive sequence is 52.
please I need this question fast
We have a linear function [tex]\displaystyle\bf y=\underbrace{k}_{gradient}x+b[/tex] and we know that [tex]\displaystyle\bf \left \{ {{-2\cdot-3+b=2} \atop {-4\cdot -2+b=k}} \right. => \left \{ {{b=-4} \atop {b+8=k} \right. => k=8-4=4 \\\\Answer: \boxed{B) \quad k=4}[/tex]
How can we do this math problem?
Answer:
b) 92
Step-by-step explanation:
1. if according to the condition the triangle is equilateral, then every inside angle (m∠F=m∠G=m∠H) is 60°.
2. it is possible to substitute the value 60 (F=60) into the given equation:
[tex]60=(\frac{Z}{2}+14);[/tex]
3. if to solve the equation above, then Z=92
(a+b)^2*(a-b)
please answer me fast
Answer:
a^3b + 2a^2b^2 + ab^3
Step-by-step explanation:
(a+b)^2
= a^2 + 2ab + b^2
ab(a^2 + 2ab + b^2)
= a^3b + 2a^2b^2 + ab^3
10. Use the vertical line test to determine if the graph below
represents a function. If it is not a function, tell where the
vertical line test fails.
The graph is a function. When drawing a vertical line, there will be two circumstances:
The line intersects only one point on a graph. The line intersects more than one point on a graph ( POI > 1 )For the first circumstance, the graph that has only one intersect with a line - it is a function. For the second circumstance, the graph cannot be a function as it gives more than one y-value for a single x-value.
The conclusion is that if a line only has one intersect on a graph then it is a function. Otherwise, not a function but a relation instead. All functions are relations, but not all relations can be functions.
Answer
The graph passes the vertical line test and is a function.Can i get some help pls!
Answer:
Graph the system on linear equations.
Step-by-step explanation:
(-4, 4) & (-4, -6)
In ΔGHI, HI = 13, IG = 8, and GH = 16. Which list has the angles of ΔGHI in order from largest to smallest?
Answer:
m<I, m<G, m<H
Step-by-step explanation:
The angle that sees the longest side length has the biggest measurement
so
if we were to list the angles from largest to smallest
m<I, m<G, m<H
simplify 5x-26y+7x+32y
i don’t understand at all
Answer and Step-by-step explanation:
The parent function, f(x) = |x|, has no transformations applied to it.
When the number is with the x, it translates the graph horizontally. <->
When the number is outside of the absolute box, it translates the graph vertically. ^ V
When the number is multiply the absolute box on the outside with the x inside, it scales the graph.
So, first lets apply the translations of horizontal and vertical shift.
The graph translated 1 units downwards.
The graph translates 2 units to the right.
g(x) = |x - 2| - 1
We subtract the 2 because that makes it go right, while if we added it would go left.
Now for the scale.
The lines have a slope of [tex]\frac{1}{4}[/tex], so that is what we are multiplying.
g(x) = [tex]\frac{1}{4}[/tex]|x - 2| - 1
^That is your transformed function.
#teamtrees #PAW (Plant And Water)
Using divisibility tests, check whether the number 240720 is divisible by
2, 3, 4, 5, 6, 8, 9, 10 and 11. (Give reason)
Answer:
Let's see each case.
a) 2
We know that a number is divisible by two if it ends in {0, 2, 4, 6, 8}
In our case, we have 240,720
We can see that it ends with a zero, so it is divisible by 2.
b) 3
A number is divisible by 3 only if the sum of its digits is a multiple of 3.
For our number, the sum of the digits gives:
2 + 4 + 0 + 7 + 2 + 0 = 2 + 4 + 7 + 2 = 6 + 9 = 15
15 is a multiple of 3, then 15 is divisible by 3.
then 240,720 is divisible by 3.
c) 4
A number is divisible by 4 if the last two digits form a number that is divisible by 4.
In this case, the last two digits are 2 and 0, so they form the number 20
and we know that 20 = 4*5 is a multiple of 4.
then 20 is divisible by 40
then 240,720 is divisible by 4
d) 5
A number is divisible by 5 if it ends in 0 or 5.
Our number ends in a 0, so it is divisible by 5.
e) 6
A number is divisible by 6 if it is divisible by 2 and 3.
We already know that our number is divisible by 2 and 3, so we can conclude that it is also divisible by 6.
f) 8
A number is divisible by 8 if, in the case where the hundreds digit is odd, the number obtained from the last two digits plus 4 must be divisible by 8.
in the case where the hundreds digit is even, the number formed by the last two digits must be divisible by 8.
In our case the hundreds digit is 7, so it is odd, so we will use the first criteria.
The last two digits form the number 20
if we add 4, we get:
20 + 4 = 24
And 24 is a multiple if 8: 8*3 = 24
Then 24 is divisible by 8, then 240,720 is divisible by 8.
g) 9
Similar for the case of the 3, a number is divisible by 9 if the sum of its digits is divisible by 3.
We know that the sum of the digits of our number is 15, which is not divisible by 9, then our number is not divisible by 9
h) 10
A number is divisible by 10 if the last digit is a zero.
In this case the last digit is a zero, so 240,720 is divisible by 10.
i) 11
A number is divisible by 11 if:
starting from the left, you need to add and subtract each subsequent digit, if this is divisible from 11, then the original number is divisible by 11.
Then for 240,720 we have:
2 - 4 + 0 - 7 + 2 - 0 = -2 - 5 = -7
-7 is not divisible by 11, so our number is not divisible by 11
Estimate the measure of the following angles
Answer:
For A I'd say about 100° and for B about 150° (This is just my estimation)
Step-by-step explanation:
A is almost a right angle but a little more than 90°.
B is almost a straight/flat angle but it's less than 180°.
Answer:
a. 115(Looks kinda like 112 or 113 but it says estimate so it should work)
b. around 230
Step-by-step explanation:
Four test scores are given. The first three test scores are 20% of the final grade and the last test score is 40% of the final grade. Find the weighted mean of the test scores. Round to the nearest tenth.90 88 95; 92
y = 4x + 5 ; y = x - 4
Answer:
(- 3, - 7 )
Step-by-step explanation:
Given the 2 equations
y = 4x + 5 → (1)
y = x - 4 → (2)
Substitute y = 4x + 5 into (2)
4x + 5 = x - 4 ( subtract x from both sides )
3x + 5 = - 4 ( subtract 5 from both sides )
3x = - 9 ( divide both sides by 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (2)
y = x - 4 = - 3 - 4 = - 7
solution is (- 3, - 7 )
Divide. (7t^5 + 14t^4 − 28t^3 + 35t^2) ÷ (7t^2) step by step pls
a. t^3 + 2t^2 − 4t + 5
b. t^3 − 2t^2 − 4t + 5
c. t^7 + 2t^2 − 4t + 5
d. t^3 + 2t^2 − 4t − 5
Answer:
choice: A
Step-by-step explanation:
I WILL MARK BRAINLIEST !!!!!
15.
Use the replacement set {4, 6, 12} to find which values will make the equation 2x + 4 = 16 − x true.
a. None of the values are a solution.
b. The equation has a solution for x = 6.
c. The equation has a solution for x = 12.
d. The equation has a solution for x = 4.
s
Answer:
C
Step-by-step explanation:
2x+4=16-x
2x-x=16-4
x=12
So C
for the rectangle, what is the length of side AB
A=(-4,10) B=(2,10) C=(2,2) D=(-4,2)
Answer:
6 units
Step-by-step explanation:
the answer is the image above
Answer:
I've attached the Answer
find the slope of the line passing through the points using the slope formula
(5, 0), (2, 4)
The slope formula is m= y2-y1/x2-x1.
m= 4-0/2-5
m=4/-3
Therefore, 4/-3 is the slope.
Answer:
The first option, incase something happens to the president, they’re next in line.
Step-by-step explanation:
what is true of the compassion
Answer:
compassion is compassion, that is true
Step-by-step explanation:
Toula has just baked a cake in the shape of a rectangle. She
wants to divide the cake into two right-angled triangles by
cutting along a diagonal of the cake. Toula is then going to place
a cake ribbon around the outside of each of the two triangular
pieces of cake. If the length of the cake is 32 cm and its width is
24 cm, how much cake ribbon will she need to buy, giving your
answer to an appropriate accuracy.
Answer:
192 cm
Step-by-step explanation:
length of the ribbon needed = perimeter of right angled triangle x 2
to determine perimeter, the value of the hypotenuse needs to be known
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
32² + 24²
= 1024 + 576
= 1600
square root = 40
length of rope = 2 x (40 + 32 + 24) = 192
Nine hundred sixty pack of reliefs goods are to be distributed to 10 Barangays. How
many packs will each Barangay receive?
Answer:
96
Step-by-step explanation:
960 ÷ 10 = 96
please mark as brainliest answer
Help please if you don’t mind Thankyouu!
Answer:
(3V) / b = h
Step-by-step explanation:
V = (1/3)bh multiply both sides by 3
3V = bh divide both sides by b
(3V) / b = h