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3 years ago

9

Is -4 a solution to the the equation 5+(-8)n=29

1 answer:

Gala2k [10]3 years ago

3 0

No because when -4 is substituted in for n the answer is 37 so it is not true

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Molly is making peanut butter cookies. To make a batch of cookies she needs cups of peanut butter, 1.5 cups of sugar, and 1 egg.

Rina8888 [55]

Answer:

4 batches

Step-by-step explanation:

one batch calls for:

3/4 PB

1 1/2 cup SG

1 EGG

3/.75(3/4)= 4

9/1.5(1 1/2)=6

5/1= 5

The maximum number of batches she can make before running out of ingredients is 4

6 0

3 years ago

The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find

Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, $h=0$ , $k=35$ , $x=8$ , $y=21$

We know that, the general equation of the parabola.

$y-k = a(x-h)^2$

$\Rightarrow y=a(x-h)^2+k .........(i)$

Substitute the value of $h, k, x, y$ in equation $(i)$ and find the value of $a.$

$21=a(8-0)^2+35$

$\Rightarrow 21=a\times 8^2+35$

$\Rightarrow 21=64a+35$

$\Rightarrow 64a=21-35$

$\Rightarrow 64a=-14$

$\Rightarrow a=\frac{-14}{65}$

$\Rightarrow a=-0.215$

Hence, the equation of the parabola is:

$y=-0.215x^2+35$

8 0

2 years ago

Free to whoever gets it

liraira [26]

LolAnswer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the average rate of change of the function f(x) = 4x – 2 over the interval x = –1 and x = 2?

Alexeev081 [22]

Answer:

$4$

Step-by-step explanation:

Given: $f(x)=4x-2$

To find: average rate of change of the function $f(x)=4x-2$ over the interval $x=-1$ and $x=2$

Solution:

Take $a=-1,\,b=2$

Find $f(a),\,f(b)$

$f(a)=f(-1)\\=4(-1)-2\\=-4-2\\=-6\\\\f(b)=f(2)\\=4(2)-2\\=8-2\\=6$

Average rate of change of the function $=\frac{f(b)-f(a)}{b-a}$

$=\frac{f(2)-f(-1)}{2-(-1)}\\\\=\frac{6-(-6)}{3} \\\\=\frac{12}{3}\\\\=4$

7 0

2 years ago

How to solve for z 6-1/2z=2/3

sergey [27]

6 - 1/2z = 2/3
Steps
First, subtract 6 from both sides
6 - 1/2z - 6 = 2/3 - 6
Then, simplify
-1/2z = -16/3
Then, multiply both sides by -2
(-1/2z) (-2) = (-16/3) (-2)
Then, simplify
z = 32/3

3 0

3 years ago

Read 2 more answers