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Alina [70]
3 years ago
9

On a coordinate plane, an absolute value graph has a vertex at (1, negative 2.5). The graph shows the function f(x) = |x – h| +

k. What is the value of k? k = –2.5 k = –1 k = 1 k = 2.5
Mathematics
2 answers:
Tomtit [17]3 years ago
8 0

Answer:

A: h = 2.5

Step-by-step explanation:

on edge

Igoryamba3 years ago
4 0

Answer:

A. k = -2.5

Step-by-step explanation:

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Charles is cooking enough lentils for lentil barley soup and lentil salad. The soup recipe calls for 3/4 cup of dried lentils. T
zvonat [6]

Answer:

18 scoops is the correct answer

Step-by-step explanation:

3/4 can also be written as 6/8 (multiply both 3 and 4 by 2)

and 1 1/2 is actually 3/2 which can be written as 12/8 (multiply both 3 and 2 by 4)

thus total lentils required is 6/8 + 12/8 = 18/8 cups.

with scoop size 1/8 cup you'll need 18 scoops .

8 0
3 years ago
Read 2 more answers
the length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70. Find the dimensions of the rec
Savatey [412]

Answer:  The width is 7 meters. The length is 10 meters.

Step-by-step explanation:   Area = Length × width

Length is 2w - 4  

Substitute that value for length, then solve for w.

70 = w(2w - 4)

70 = 2w² - 4w  reorganize to quadratic equation form

2w² - 4w -70 = 0   These are All even numbers; factor out 2 (divide all by 2)

w² - 2w - 35 = 0  factor this

(w - 7)(w + 5)    set each factor = 0 and calculate the value of w.

w+5=0  w= -5  (disregard this one because dimensions of real rectangles can't be negative)

w - 7 = 0  w = 7   <u>The width is 7</u>

Substitute into the original expressions to get the value of Length.

2(7) -4 = L    14 - 4 = L  The<u> Length is 10.</u>

Check by substituting into the original equation:

w × 2w -4 = 70

7 × 2(7) -4 = 70

7 × 10 = 70    TRUE!

w

6 0
3 years ago
Solve the equation. Round to the nearest hundredth. Show work.
denis-greek [22]

Answer:

Final answer is approx x=-0.66.

Step-by-step explanation:

Given equation is 5^{-2x-1}=4^{4x+3}.

Now we need to solve equation 5^{-2x-1}=4^{4x+3} and round to the nearest hundredth.

5^{-2x-1}=4^{4x+3}

\log(5^{-2x-1})=\log(4^{4x+3})

(-2x-1)\log(5)=(4x+3)\log(4)

-2x \log(5)- \log(5)=4x \log(4)+3 \log(4)

-2x \log(5) -4x \log(4)=3 \log(4) +\log(5)

x=\frac{\left(3\log(4)+\log(5)\right)}{\left(-2\log(5)-4\log(4)\right)}

Now use calculator to calculate log values, we get:

x=-0.65817959094

Round to the nearest hundredth.

Hence final answer is approx x=-0.66.

8 0
4 years ago
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