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Yuki888 [10]
3 years ago
12

Yesterday, Grace drove 43 1/2 miles. She used 1 1/4 gallons of gasoline. What is the unit rate for miles per​ gallon?

Mathematics
1 answer:
iren [92.7K]3 years ago
4 0

Answer: 34.8 or 34 4/5

Step-by-step explanation:

1.25 divided by 1.25 = 1

43.5 divided by 1.25 = 34.8

= 34 4/5

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Choose the correct domain of the function in interval notation.
kari74 [83]
The domain of a function is where the x of the function starts and finishes , but as that function doenst have an end or beginning, its domain is a) from negative infinity to infinity
3 0
3 years ago
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Save me the headache
maxonik [38]

(9\sin2x+9\cos2x)^2=81

Taking the square root of both sides gives two possible cases,

9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1

or

9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

If \alpha=2x and \beta=\dfrac\pi4, we have

\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}

so in the equations above, we can write

\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1

Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi

(where n is any integer)

\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi

\implies x=n\pi\text{ or }\dfrac\pi4+n\pi

and in the second,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi

\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi

\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi

Then the solutions that fall in the interval [0,2\pi) are

x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4

5 0
3 years ago
Read 2 more answers
Which term describes the red curve in the figure below?
Scorpion4ik [409]

Answer:

Hyperbola

Step-by-step explanation:

Its just like a parabola, but with 2 equal cones making them on opposite sides.

3 0
1 year ago
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How do I solve this ???
egoroff_w [7]
-3*-5 = 15 

<span>When the signs are the same the answer is positive.</span>
5 0
3 years ago
Rewrite the expressions below by completing the square<br> 2 + 4+ 1
Lady bird [3.3K]
STEP BY STEP EXPLANATION
(Mark brainliest pls)

Square root is 2 square + 4 square + 1 because 1 does not enable a square perhaps for negatives to be imputed, and we know 2 square will be 1 hence,

1 x 1 = 1 squared
2 x 2 = 4 squared
Perhaps for 1, you will have to use a formula equation and add tang maybe. Etc I don’t know if tang but u will also have to convert 1 to a decimal to find the square root of 1, 1 is an odd number so it will end up with remainder decimals or just do 1x1, etc.


Hence u

(2 square + 4 square) + 1square?

It depends on addition or order of operations subtraction addition or you will might use multiply
if the subject is about multiply or Division so try and do it because i don’t know if I’m right

..

REMEMBER

PEMDAS

Please Excuse My Dear Aunt Sally

Parentheses
Equations
Multiplication
Division
Addition
Subtraction

ORDER OF OPERATIONS.


try and solve it hope this helps!
Have a nice day
8 0
2 years ago
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