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andriy [413]
3 years ago
5

As part of a school contest, Sarah and Luis are playing a math game. Sarah must pick a number between 1 and 50 and give Luis clu

es so he can write an equation to find her number. Sarah says, "If i subtract 5 from my number, multiply that quantity by 4, and then add 7 to the result, i get 35." What equation can Luis write based on Sarah's clues and what is Sarah;s clues and what is is Sarah's number?
Mathematics
2 answers:
RSB [31]3 years ago
8 0
Simple, writing an equation,

(x-5)*4+7=35

multiply the 4 in

4x-20+7=35

4x-13=35

add 13 to the other side

4x-13=35
     +13  +13
4x=48

x=12.

The number is 12. But to check it, substitute the 12 into the equation.

(12-5)*4+7=35

(7)*4+7=35

28+7=35

35=35.

Thus, your answer is , the number is 12.
iren [92.7K]3 years ago
3 0
11 is the number because I subtracted 7 and 35 it was 28 then divided 28 and 4 which is 6 then added 6 and 5
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Select ALL the correct answers.<br> Select all functions that have a y-intercept of (0,5).
otez555 [7]
1.) f(x)=7(b)^x-2
x=0→f(0)=7(b)^0-2=7(1)-2=7-2→f(0)=5→(x,f(x))=(0,5) Ok

2.) f(x)=-3(b)^x-5
x=0→f(0)=-3(b)^0-5=-3(1)-5=-3-5→f(0)=-8→(x,f(x))=(0,-8) No

3.) f(x)=5(b)^x-1
x=0→f(0)=5(b)^0-1=5(1)-1=5-1→f(0)=4→(x,f(x))=(0,4) No

4.) f(x)=-5(b)^x+10
x=0→f(0)=-5(b)^0+10=-5(1)+10=-5+10→f(0)=5→(x,f(x))=(0,5) Ok

5.) f(x)=2(b)^x+5
x=0→f(0)=2(b)^0+5=2(1)+5=2+5→f(0)=7→(x,f(x))=(0,7) No

Answers:
First option: f(x)=7(b)^x-2
Fourth option: f(x)=-5(b)^x+10 
7 0
3 years ago
Given Triangle DEF has point D(-1,-5), E(-2,-1) and F(-4,-3) and is
Fiesta28 [93]

Answer:

i think its f

Step-by-step explanation:

7 0
3 years ago
Simplify square root of -13
tino4ka555 [31]

Answer:

\sqrt{13i}

Step-by-step explanation:

Theoretically, there is not square root of neither 13 nor a negative number so the special symbol is used to represent the square root of a number.

8 0
3 years ago
It is estimated that world reserves of oil currently stand at 2625
seraphim [82]

Answer:

  35.4 years

Step-by-step explanation:

The annual consumption (in billions of units) is described by the exponential function ...

  f(t) = 45.5·1.026^t

The accumulated consumption is described by the integral ...

  \displaystyle\int_0^t{f(x)}\,dx=45.5\int_0^t{1.026^x}\,dx=45.5\left(\dfrac{1.026^t-1}{\ln{1.026}}\right)

We want to find t such that the value of this integral is 2625, the estimated oil reserves.

  2625 = 45.5/ln(1.026)·(1.026^t -1)

  2625·ln(1.026)/45.5 +1 = 1.026^t ≈ 1.480832 +1 = 1.026^t

Taking natural logs, we have ...

  ln(2.480832) = t·ln(1.026)

  t ≈ ln(2.480832)/ln(1.026) ≈ 35.398

After about 35.4 years, the oil reserves will run out.

4 0
2 years ago
If f(x)=4x3+Ax2+5x−5 and f(2)=3​, what is the value of​ A?
Luba_88 [7]
The value of x is 24
6 0
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