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2 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

navik [9.2K]2 years ago

3 0

Answer:

(0,1/5) and (1/9,0)

Step-by-step explanation:

3/5x +1/3y=1/15

To find intercepts, plug in 0

y-intercept: 3/5(0) + 1/3y=1/15

y=1/15*3 = 3/15 = 1/5 or 0.2

x-intercept: 3/5x + 1/3(0) = 1/15

3x=1/15*5/3

x=5/45= 1/9

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JWISOSOOS someone help me n show me how to do it 2. Thanks goodnight:>>

posledela

Answer:

2/3(3x+9)=-2(2x+6)

2/3(3x+2x)=-2(9+6)

2/3×5x=-2+15

10x/3=13

3x=13

x=13-3

x=10

4 0

2 years ago

Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. r(t) = 4 cos(t)i + 4

slega [8]

Answer:

The equation to this question is " $x^2+y^2=16$ "

Step-by-step explanation:

Given value:

$\to r(t) = 4 \cos (t)i + 4 sin(t)j + k\\where \\\\\to x(t)= 4 \cos t\\\to y(t) = 4 \sin t\\\to z(t)=1\\$

$\to x^2+y^2= 16 \cos^2 t +16 \sin^2 t\\\\\to x^2+y^2= 16 (\cos^2 t +\sin^2 t)\\\\\therefore (\cos^2 t +\sin^2 t =1)\\\\\to x^2+y^2= 16 (1)\\\\\to x^2+y^2= 16\\\\\to z=1$

So, the curve $r(t) = 4 \cos (t)i + 4 sin(t)j + k$ is basically a circle, which is defined in the attachment file.

7 0

2 years ago

Solve for x: Log4(x+8)=3

viktelen [127]

If $log_{4}(x+8)=3$
Then $4^3=x+8$
$64=x+8$
$64-8=x$
$56=x$

3 0

2 years ago

PLEASE HELP !!!!!!! Jordan got a new money bank for his birthday with $20 inside. He puts part of his weekly allowance in his ba

kupik [55]

Answer:

Slope of the function is $=3.75$ ,Y-intercept $=20$ .

The function is $y=3.75(x)+20$ with initial value $=20$ ,Jordan puts $\$3.75$ each week andthe amount saved by Jordan after $52$ week $=215\$$ .

Step-by-step explanation:

To understand the slope and y-intercept lets assign $x$ as number of weeks and $y$ as the money saved by Jordan.

Jordan is already having a sum of $\$20$ inside the money bank so in $0$ week the amount is $\$20$ can be written as $(x,y) =(0,20)$ in coordinate form.

SImilarly

We have $(x,y) =(0,20)$ and $(x_1,y_1) =(25,113.75)$

Part A:

The function is $y=m(x)+b$

From point-slope form,we have slope (m)

and $m=\frac{y_1-y}{x_1-x}$ ,plugging the values of the points.

$m=\frac{113.75-20}{25-0}=3.75$

Y-intercept of this function is the constant term or the money of $\$20$ that is already inside the money bank.

We can also calculate y-intercept by arranging the function as $b=y-m(x)$ choosing any $(x_1,y_1) = (25,113.75)$ coordinate and here $b$ is the y-intercept.