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2 years ago

Which of the following is the graph of y=- square root x+1

Mathematics

2 answers:

maks197457 [2]2 years ago

4 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y=-\sqrt{x+1}$

Find the intercepts

<u>The y-intercept</u> is the value of y when the value of x is equal to zero

For x=0 -----> $y=-\sqrt{0+1}=-1$

The y-intercept is the point (0,-1)

<u>The x-intercept </u>is the value of x when the value of y is equal to zero

For y=0 -----> $0=-\sqrt{x+1}$ -----> $x=-1$

The x-intercept is the point (-1,0)

<em>Find the domain</em>

we know that

The radicand must be positive

$x+1\geq0$

$x\geq-1$

All real numbers greater than or equal to -1

The range is all real numbers less than or equal to -1

using a graphing tool

see the attached figure

Alexeev081 [22]2 years ago

3 0

Answer:

C: third graph picture is attached.

Step-by-step explanation:

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What is the domain and range?

ycow [4]

Answer:

Domain- the set of possible values of the independent variable or variables of a function.

Range- the set of values that a given function can take as its argument varies.

8 0

3 years ago

Evaluate the integral. 3 2 t3i t t − 2 j t sin(πt)k dt

sveta [45]

∫(t = 2 to 3) t^3 dt

= (1/4)t^4 {for t = 2 to 3}

= 65/4.

----

∫(t = 2 to 3) t √(t - 2) dt

= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2

= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du

= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}

= 26/15.

----

For the k-entry, use integration by parts with

u = t, dv = sin(πt) dt

du = 1 dt, v = (-1/π) cos(πt).

So, ∫(t = 2 to 3) t sin(πt) dt

= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt

= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]

= 5/π + 0

= 5/π.

Therefore,

∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.

3 0

3 years ago

Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

nadezda [96]

<h2> $\large\mathfrak{{\pmb{\underline{\red{Given}}{\red{:}}}}}$ </h2>

∠RSU and ∠USV are complementary angles
∠RSU = (4x – 15)°
∠USV = 20°

<h2> $\large\mathfrak{{\pmb{\underline{\color{red}{To~find}}{\color{red}{:}}}}}$ </h2>

The value of x

<h2> $\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$ </h2>

∠RSU and ∠USV are complementary angles

$\sf\implies{ \angle RSU + \angle USV = 90 \degree }$

$\sf\implies{ (4x-15) + 20 = 90 }$

$\sf\implies{ 4x-15+20=90}$

$\sf\implies{4x+5=90}$

$\sf\implies{4x=90-5}$

$\sf\implies{4x=85}$

$\sf\implies{x={\dfrac{85}{4}}}$

$\sf\implies{ {\orange{\underline{\boxed{\sf{\pmb{x=21.25}}}}}}}$

<h2> $\large\mathfrak{\therefore{\pmb{\underline{\color{gold}{Required~answer}}{\color{gold}{:}}}}}$ </h2>

$\sf{ {\underline{\underline{\color{gold}{\sf{\pmb{x=21.25}}}}}}}$

5 0

3 years ago

7n-4=31<br> So what does n represent?

Lorico [155]

Answer:

n=5

Step-by-step explanation:

7n-4 = 31

+4 +4

7n = 35

/7 /7

n=5

6 0

2 years ago

How to find the volume of the cube?

Ierofanga [76]

Answer:

its 125

Step-by-step explanation:

5x5x5

7 0

2 years ago

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