1 year ago

What is the value of f(x) = –x2 + 3 when x = 1?

Mathematics

1 answer:

Leya [2.2K]1 year ago

5 0

Answer:

f(x) = g(x)

3(2) - 4 = (2)² - 2

6 - 4 = 4 - 2

2 = 2

Step-by-step explanation:

there

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Dante's Mom wants to build a fence around their yard. Here are the measurements of the yard. What are the measurements of the mi

timama [110]

Answer:

(a)The missing measurements are 9 feet and $16\frac{1}{4}$ feet$ .

(b)Therefore, the length of the fence is $97\frac{1}{2}$ feet$

Step-by-step explanation:

The diagram of the yard is attached below.

(a)I have labeled the missing dimensions of the yard as x and y.

Therefore:

$y+8\frac{1}{4}=17 \frac{1}{4}\\y=17 \frac{1}{4}-8\frac{1}{4}\\y=9$ feet$

Similarly:

$x+15\frac{1}{4}=31\frac{1}{2}\\x=31\frac{1}{2}-15\frac{1}{4}\\x=31-15+\frac{1}{2}-\frac{1}{4}\\x=16+\frac{1}{4}\\x=16\frac{1}{4}$ feet$

The missing measurements are 9 feet and $16\frac{1}{4}$ feet$ .

(b)Length of the Fence

The fence is rectangular shaped with:

Length = $31\frac{1}{2}$ feet$

Width = $17 \frac{1}{4}$ feet$

Perimeter of a Rectangle = 2(L+W)

Therefore, the length of the fence

$=2(31\frac{1}{2}+17 \frac{1}{4})\\=2(31+17+\frac{1}{2}+ \frac{1}{4})\\=2(48+ \frac{3}{4})\\=96+\frac{3}{2}\\=97\frac{1}{2}$ feet$

8 0

2 years ago

What is the surface area of the shaded front face of the composite solid?

Alexus [3.1K]

$\begin{matrix}
((8*4)-(2*3))cm^2\\=(32-6)cm^2\\\mathbf{26\:cm^2}
\end{matrix}$

6 0

2 years ago

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The population of a village is modeled by the function P(t) = 890e0.024t, where P is the population after t years. What does 890

mars1129 [50]

Answer:

I believe the answer is A. Population Growth Rate

Step-by-step explanation:

3 0

1 year ago

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Find the general form of the function that satisfies da/dt = -9a

posledela

The given equation is
$\frac{da}{dt} =-9a$

This ODE (Ordinary Differential Equation) is separable.
That is,
$\frac{da}{a} = -9$

Integrate to obtain
$\int \frac{da}{a} =-9 \int dt \\\\ ln(a) = -9t + k \\\\ a(t) = c \, e^{-9t}$
where k, c are constants.

Answer: $a(t) = c \, e^{-9t}$ , c = constant.

4 0

1 year ago

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A cardboard popcorn container is shaped like a cone that is 11 inches high and has a radius of 2.5 inches. What is the volume of

Vika [28.1K]

Vcone=(1/3)hpir^2
h=11
r=2.5
Vcone=(1/3)11pi2.5^2
Vcone=(11/3)pi6.26
Vcone=68.75/3*3.14
Vcone=71.95833
round
Vcone=71.96

vcone=71.95 in^3

8 0

2 years ago