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mart [117]
2 years ago
15

The sum of a number times 8 and 21 is less than -16.

Mathematics
1 answer:
vodka [1.7K]2 years ago
7 0

Hello.

First of all, let the number be t.

8 times t can be written like this:

\mathrm{8t}

Notice that the number is before the variable and the times sign (×) is not there.

We can write it as 8×t, but we usually write it as 8t.

The sum of means we add:

8t+21

Now, "less than" is "<" :

\mathrm{8t+21 < -16}

Therefore, the answer is

\mathrm{8t+21 < -16}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

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The vertices of the image of GHJK after a translation are given. Choose the vector that describes the translation.
Lady_Fox [76]

Answer:

Option B

Step-by-step explanation:

Let's take a vertex G of quadrilateral GHJK to understand the rule for the translation,

From the graph attached,

Coordinates of G → (-5, 5)

Coordinates of the image point G' after the translation → G'(-5, 5)

Let the point G is translated 'a' units to the right and 'b' units down,

Rule for this translation,

G(x, y) → G'(x + a, y - a)

By this rule,

G(-5, 5) → G'(-5 + a, 5 - a)

-5 + a = -5 ⇒ a = 0

5 - a = 5 ⇒ a = 0

Therefore, vector that defines the translation will be,

<0, 0>

Option B is the the correct option.

8 0
3 years ago
14. Janine has job offers at two companies. The Nabisco company offers her a starting salary of $28,000 plus $2,000 for transpor
zaharov [31]

Answer:

eight years

Step-by-step explanation:

at year one: nabisco 30k and keebler: 36k

year two: nabisco: 33k and keebler: 38k

year three: nabisco: 36k and keebler: 40k

year four: nabisco: 39k and keebler: 42k

year five: nabisco: 42k and keeber: 44k

year six: nabisco: 45k and keebler 46k

year seven: nabisco: 48k and keeber 48k

year eight: nabisco: 51k and keebler 50k

3 0
2 years ago
Find the perimeter of the rectrangle with vertices at R(-2, 3), S(4, 3), T(4, -1) and U(-2, -1).
mylen [45]
I attached a photo where I graphed these vertices in order to count the length and width.  After counting the number of units between R & U I got a width of 4.  And then I counted the units between S & T to get a width of 6.  Using the formula to calculate the perimeter of a rectangle, P = 2(l+w). The perimeter is 20.  

First I added the length plus the width, 4 + 6 and got 10.  Then I did 10 x 2 which is how I got a perimeter of 20.  

5 0
3 years ago
What is the value of (f +2g)(4)<br><br> f(x)= (x-2)²; g(x)= x+3
asambeis [7]

Answer:

18.

Step-by-step explanation:

g(x) = x + 3 so 2g(x) = 2x + 6

(f + 2g)(x) = (x - 2)^2 + 2x + 6

therefore

(f + 2)(4) = (4 - 2)^2 + 2(4) + 6

= 2^2 + 8 + 6= 18.

7 0
3 years ago
4e^2x=5 <br><br> X approximately = ?
olga nikolaevna [1]

Answer:

5 = 5

Explanation:

5 0
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