1/5(2x-15) + 3/5x = 4 1/4

x=?

Answers

Answer 1
Answer: 1/5(2x-15) + (3/5)x = 4 1/4
x*2/5 - 15/5 + x*3/5 = 4 1/4
x*2/5 - 3 + x*3/5 = 4 1/4
x*(2/5+3/5) - 3 = 4 1/4
x*(5/5) - 3 = 4 1/4
1*x - 3 = 4 1/4
x= 4 1/4 + 3
x= 7 1/4


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4% of ____ days is 56 days

Answers

4%=4/100
4/100=56/x
(4)(14)=56, (100)(14)=1400)
4/100=56/1400
therefore 4% of 1400 days is 56 days
:)
We know that 4% = 56 days
To work out 1% we can divide the number of days by 4, as 4% / 4 = 1%
56 / 4 = 14
1% = 14 days

What we want to find next is what 100% is
From 1%, we multiply by 100 to get 100%, we do the same to the number of days
14 x 100 = 1400 days

What is 94= y over 4 -18 ?

Answers


94=y/4-18, svaret blir:94=y/-14, vilket ger:94*(-14)=yy=-1316
94= y/4-18
94= y/-14 multiply both sides by -14 to get rid of the fraction
94*14=y/-14*14
-1316=y

Graph of function f of x equals negative x squared plus 8 multiplied by x minus 15Function 2

f(x) = −x2 + 2x − 3

Function ____ has the larger maximum.
(Put 1 or 2 in the blank space)

Numerical Answers Expected!

Answers

y=- x^(2) +8x-15
written in vertex form, we have,
y=-(x-4)^(2) +1,
i.e. vertex = (4, 1) and maximum value at y = 1.
 
y=- x^(2) +2x-3
written in vertex form, we have,
y=-(x-1)^(2) -2,
i.e. vertex = (1, -2) and maximum value at y = -2.

Therefore, y=- x^(2) +8x-15 has the larger maximum.
 


Final answer:

To determine which function has the larger maximum, we find the vertex of each function's graph and compare the y-values. Function 1 has the larger maximum with a value of 9.25.

Explanation:

In order to determine which function has the larger maximum value, we need to find the vertex of each function's graph. The vertex of a quadratic function in the form f(x) = ax^2 + bx + c can be found using the formula x = -b / (2a). For the first function, f(x) = -x^2 + 8x - 15, a = -1, b = 8, and c = -15. Plugging these values into the formula, we get x = -8 / (2*-1) = 4.5. Substituting this value of x back into the function gives us f(4.5) = -4.5^2 + 8(4.5) - 15 = 9.25.

For the second function, f(x) = -x^2 + 2x - 3, a = -1, b = 2, and c = -3. Using the formula, we find x = -2 / (2*-1) = 1. Substituting this value back into the function gives us f(1) = -1^2 + 2(1) - 3 = -2.

Comparing the maximum values of the two functions, we see that f(x) = -x^2 + 8x - 15 (Function 1) has a larger maximum value of 9.25.

Learn more about Function maximum here:

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Angie is saving money to buy a new tennis racket that costs $138. She has saved $46 so far. If Angie saves $14 each week, what is the least number of weeks, w, that she will have to save to buy the racket? Write an inequality to describe the situation. Use the inequality to solve the problem.

Answers

46 + 14w > = 138.....w represents number of weeks
14w > = 138 - 46
14w > = 92
w > = 92/14
w > = 6.57....the least number of weeks would be 7
138=46+14w -46 -46 92=14w 92÷14= 6.5714285714 (round up) W=7 weeks Hope that helped

The largest mammal ever found on Earth was a female blue whale with a mass of more than158,000,000 grams. Express this mass in kilograms.​

Answers

Answer:

158000

Step-by-step explanation:

Formula:

divide the mass value by 1000

Squareroot(y-1) + 3 = y

Answers

note:xy means x times y and x(y) means the same thing

so
first we get rid of square root then
make the equation equal to zero becaues if
xy=0 then x or/and y=0



squareroot(y-1)+3=y

isolate the squareroot
subtrac 3 from boht sides

squareroot(y-1)=y-3

square both sides (since they are equal, you should be able to square both sides and still make it true)

(squareroot(y-1))^2=(y-3)^2
(y-1)=(y-3)(y-3)
y-1=y^2-6y+9
subtrac y from both sides
-1=y^2-7y+9
add 1 to both sides
0=y^2-7y+10
find what two number multiply to make 10 and add to get -7
the answer is -2 and -5

0=(y-5)(y-2)
therfore
y-5=0
and/or
y-2=0

therefor
y=5 or/and 2 might work
let's try out 2
square root(2-1)+3=2
square root(1)+3=2
1+3=2
false
so 2 doesn't work



let's try 5
squareroot(5-1)+3=5
squareroot(4)+3=5
2+3=5
5=5
true

y=5