All categories

2 years ago

Given: g(x) = 4 - (x + 3)^2find the x-intercept

Mathematics

2 answers:

NikAS [45]2 years ago

6 0

It is -5 and -1 hope this helps

Nata [24]2 years ago

4 0

X intercept is when the function (y) = 0.

0 = 4 - (x+3)^2

(x+3)(x+3) = 4

x^2 + 6x + 9 = 4

x^2 + 6x + 5 = 0

To factor, we find what multiplies to 5 and adds to 6. In this case, it’s 5 and 1.

(x+5)(x+1) = 0

x values of the intercepts are -5 and -1.
The coordinates are (-5,0) and (-1,0).

You might be interested in

Evaluate the line integral using the fundamental theorem of line integrals. use a computer algebra system to verify your results

mario62 [17]

$\dfrac{\partial f}{\partial x}=\cos x\sin y\implies f(x,y)=\sin x\sin y+g(y)$

$\dfrac{\partial f}{\partial y}=\sin x\cos y=\sin x\cos y+\dfrac{\mathrm dg}{\mathrm dy}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C$

$f(x,y)=\sin x\sin y+C$

$\displaystyle\int_{\mathcal C}\cos x\sin y\,\mathrm dx+\sin x\cos y\,\mathrm dy=\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(\frac{3\pi}2,\frac\pi2\right)-f(0,-\pi)=-1$

7 0

3 years ago

The diameter of a sphere is 16 cm. What is the sphere's volume? Round to the nearest tenth.

ohaa [14]

Answer:

V ≈ 2144.70 $cm^3$

Step-by-step explanation:

Radius is going to be used instead of the diameter. Half of 16 is 8, and so that will be the value that shall be used.

$V = (4/3)\pi (8)^3$

V ≈ 2144.66 $cm^3$

V ≈ 2144.70 $cm^3$

5 0

3 years ago

An auto mechanic knows the average time it takes to replace a defective car radiator is 70 minutes with a standard deviation of

horsena [70]

<span>Given that the average time it takes to replace a defective car radiator is 70 minutes with a standard deviation of 12 minutes.

The 90% confidence interval of a random sample of 50 is given by

$90\% \ C.I.=70\pm1.645 \frac{12}{\sqrt{50}} \\ \\ \Rightarrow 70+1.645 \frac{12}{\sqrt{50}} \ and \ 70-1.645 \frac{12}{\sqrt{50}}$ </span>

8 0

3 years ago

What is the answer to 24+n/4=10

MA_775_DIABLO [31]

Answer:

n = -56

Step-by-step explanation:

first subtract the 24 from both sides. you get -14.

then multiply 4 to -14.

you get -56

8 0

3 years ago

Read 2 more answers

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

Alborosie

Answer: 11x + y +28 = 0

Step-by-step explanation:

To find the equation of the line, we must first find the slope(m)

Given ; x₁= -3 y₁ = 5 x₂= -2 y₂= -6

slope(m) = y₂ - y₁ / x₂ - x₁

= -6-5 / -2-(-3)

= -11/(-2+3)

= -11

slope(m) = -11

We can now proceed to find tge equation.

Equation of a straight line is;

y - y₁ = m (x - x₁)

y - 5 = -11 (x --3)

y - 5 = -11 (x +3)

y - 5 = -11x - 33

y + 11x -5 +33 =0

y + 11x -28 =0

11x + y - 28 = 0

7 0

3 years ago

Read 2 more answers

Given: g(x) = 4 - (x + 3)^2find the x-intercept​

Given: g(x) = 4 - (x + 3)^2find the x-intercept