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Aleonysh [2.5K]
3 years ago
7

Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y

Mathematics
2 answers:
Rashid [163]3 years ago
6 0

Answer:

8x^2 + 5y + 1

Step-by-step explanation:

1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y

group like terms

= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 5y + 1 - 3 + 3

= 8x^2 + 5y + 1

Sidana [21]3 years ago
6 0

Answer:

\Huge \boxed{8x^2 +5y+1}

\rule[225]{225}{2}

Step-by-step explanation:

1+x^2-3+2y+7x^2+3+3y

Grouping like terms.

7x^2 +x^2+2y +3y +3+1 -3

(7x^2 +x^2)+(2y +3y) +(3+1 -3)

Combining like terms.

8x^2 +5y+1

\rule[225]{225}{2}

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Luis, using appropriate safety precautions, fires a .22 caliber gun directly into the sky above him. The bullet travels at a spe
Tanya [424]

The equation represents height as a function of time.

The bullet was in the air for 75 seconds.

The equation is given as:

h(t) = -16t^2  + 1200t

The time spent in the air is the time it takes the bullet to land on the ground.

When the bullet is on the ground, the height is:

h(t) = 0

So, we have:

h(t) = -16t^2  + 1200t

-16t^2 + 1200t = 0

Factor out t

t(-16t + 1200) = 0

Split

t = 0 or -16t + 1200 = 0

t = 0 represents when the shot is fired.

So, we solve for t in -16t + 1200 = 0

Collect like terms

16t = 1200

Divide both sides by 16

t = 75

Hence, the bullet was in the air for 75 seconds

Read more about height and time at:

brainly.com/question/2261757

5 0
2 years ago
Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?
Mashutka [201]

Answer:

He showed that f(n) ÷ f(n - 1) was a constant ratio.

Given that Jake has proved that a function f(x) is a geometric sequence.

GEOMETRIC SEQUENCE:  A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.

So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.

That is, if 'c' is the constant that was used in the proof, then we must have

This implies that

Therefore, he showed that  f(n) ÷ f(n - 1) was a constant ratio.

8 0
3 years ago
1. The scale of a map is 1 in = 19.5 mi map: ________ in actual: 9.5 mi 2. The scale of a map is 7 in = 16 mi map: 4.9 in actual
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<span>We use ratio and proportion to solve each of these:
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</span><span>2. The scale of a map is 7 in = 16 mi map: 4.9 in actual: ______ mi
</span><span>7 in / 16 mi = 4.9 in / x mi, x = 11.2 mi
</span><span>
</span><span>3. The scale factor for a model is 5 cm = ________ m Model : 72.5 cm actual: 165.3 m
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</span><span>4. The scale of a map is 1 in = 9.6 mi map: ________ in actual: 34.7 mi
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</span><span>8. The scale of a map is 1 in = 13.5 mi map: ________ in actual: 65.9 mi
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In order to circumscribe a circle on a triangle, which line must you construct?
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