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ki77a [65]
3 years ago
13

hugo is saving for a new baseball glove. he saves $10 the first week, and $6 each week for the next 6 weeks. the expression 10 +

62
Mathematics
1 answer:
BigorU [14]3 years ago
5 0
So if Hugo has saved $10 the first week and $6 for the next 6 weeks the answer would be $46.

you can either add up 6 six times or you can multiple 6 by 6.
6+6+6+6+6+6=36 or 6×6=$36

then you add the $10 from the first week & the $36 from the $6 you saved for 6 weeks to get your final answer of $46.
$36+$10=$46
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Write a quadratic function that has been translated 1<br> units to the right and 3 units down.
vodka [1.7K]

Step-by-step explanation:

Hi,

f(x) = (x - 1) - 3

The -1 is the 1 unit to the right (even though it's being subtracted, it's going to the right because it's embedded with the x)

And the -3 is not embedded with the x, meaning the function will move 3 units down.

I hope this helps :)

6 0
2 years ago
The diagram shows a 3 cm x 5 cm x 4 cm cuboid
Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since AB \perp BC, the length of segment AC is determined by Pythagorean Theorem, that is:

AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}

AC \approx 5.831\,cm

The length of segment AC is approximately 5.831 centimeters.

b) Since AB \perp BC \perp AD, the length of segment AD is determined by this Pythagorean identity:

AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}

AD \approx 7.071\,cm

The angle ACD is determined by the following trigonometric expression:

\cos C = \frac{AC}{CD}

\cos C = \frac{5.831\,cm}{7.071\,cm}

\cos C = 0.825

C = \cos^{-1} 0.825

C \approx 34.448^{\circ}

The angle ACD is approximately 34.448º.

4 0
2 years ago
Find the inverse function in slope-intercept form <br> f(x)=4/5x-16
jeka57 [31]
Y intercept slope - 5,0
X intercept slope - 0,-4
6 0
2 years ago
If f(x)=3x-2 and g(x)=x^2+1, find f(g(-1)) and g(f(3))
julsineya [31]

Answer:

f(g(-1))=4

g(f(3))=50

Step-by-step explanation:

We know the definition of both functions: f(x)=3x-2, and g(x)=x^2+1

A) In order to evaluate what f(g(-1)) is, let's first investigate what g(-1) is using the definition for this function:

g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2

Now let's find what f(2) is using f(x) definition: f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4

B) In order to evaluate what g(f(3)) is, let's first investigate what f(3) is using the definition for this function:

f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7

Now let's find what g(7) is using the definition for this function:

g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50

4 0
3 years ago
Solve 13 - 2x &gt; 21<br>x&gt;-4<br>x &gt; -17<br>x&lt; -17<br>x&lt;-4​
kherson [118]

Answer:

x>-4

Step-by-step explanation:

13-2x > 21

-13 -13

-2x >8

(-2x)/(-2) >(8)/(-2)

x>-4

8 0
3 years ago
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