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mojhsa [17]
3 years ago
6

"The product of 5 and r, and then increased by k."

Mathematics
2 answers:
Dmitry [639]3 years ago
7 0

5r - k

You don't put the asterisk in between the 5 and the r.

KIM [24]3 years ago
6 0

Answer:

Step-by-step explanation:

5*r+k

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What is f(x) = –4x2 + 24x + 13 written in vertex form? f(x) = –4(x – 6)2 + 23 f(x) = –4(x – 6)2 + 7 f(x) = –4(x – 3)2 + 4 f(x) =
nika2105 [10]
We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that

The vertex form for a parabola that opens up or down is:

f(x) = a(x - h)^2 + k

in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them 
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and  </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13

we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49

the answer is
f(x) = –4*(x-3)² +49

 

4 0
4 years ago
Naomi used 2/3 gallon of gas to drive 15^1/5 miles.At this rate how many miles can naomi car travel per gallon
Rama09 [41]

Answer:

22 4/5 miles

Step-by-step explanation:

miles per gallon = total miles / total gallons used

15\frac{1}{5} ÷\frac{2}{3}

convert the mixed fraction to an improper fraction

\frac{76}{5} × \frac{3}{2} = \frac{114}{5} = 22 4/5 miles

5 0
3 years ago
If it takes 10gallons of gas to travel 130 miles. Plot a chart showing the distance covered by 25 gallons, 30 gallons and 32 gal
matrenka [14]

Answer:

325, 390, 416

Step-by-step explanation:

So, to find one gallon, we can do 130/10=13. So, we can multiply 13 by the other numbers. 25x13=325, 30x13=390, and 32x13=416.

4 0
2 years ago
Whats is 8+7 using double minus
Zarrin [17]
Two minuses = Plus.

Therefore, it is 8--7.
5 0
3 years ago
Read 2 more answers
Determine the area of the composite figure to the nearest whole number. A) 132 ft2 Eliminate B) 176 ft2 C) 184 ft2 D) 216 ft2
Sergeeva-Olga [200]

Answer:

B) 176 ft²

Step-by-step explanation:

The picture below is the attachment for the complete question. The figure has 3 halves of a circle and a square . The area of the figure is the sum of their area.

Area of a square

area = L²

where

L = length

L = 9 ft

area = 9²

area = 81 ft²

Area of the 3 semi circles

area of a single semi circle = πr²/2

For 3 semi circle = πr²/2 + πr²/2 + πr²/2 or 3 (πr²/2)

r = 9/2 = 4.5

area of a single semi circle = (3.14 × 4.5²)/2

area of a single semi circle = (3.14 × 20.25 ) /2

area of a single semi circle = 63.585 /2

area of a single semi circle = 31.7925

Area for 3 semi circles = 31.7925  × 3 = 95.3775  ft²

Area of the composite figure =  95.3775  ft² + 81 ft² = 176.3775  ft

Area of the composite figure ≈ 176 ft²

7 0
4 years ago
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