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3 years ago

5x^2 + 3 = 83 smaller larger

Mathematics

1 answer:

RSB [31]3 years ago

5 0

Answer:

smaller: -4
larger: 4

Step-by-step explanation:

5x^2 +3 = 83 . . . . given

5x^2 = 80 . . . . . . .subtract 3

x^2 = 16 . . . . . . . . .divide by 5

x = ±√16 = ±4 . . . take the square root

The smaller value of x is -4; the larger value, +4.

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Jammal spend $66 on supplies to make some woodworking items if he sells his items for $7.25 each how many items does he have to

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3 years ago

What’s the quadrant

Vadim26 [7]

Hey there!!

Always remember this :

90-degree counterclockwise: (x, y) → (-y, x)

180-degree counterclockwise: (x, y) → (-x, -y)

270-degree counterclockwise: (x, y) → (y, -x)

1st quadrant : ( x , y )

second quadrant : ( -x , y )

Third quadrant : ( - x , - y )

Fourth quadrant : ( x , -y )

Now, the triangle abc lies in the 1st quadrant. So, all the vertexes will have positive values.

Let's take the vertex a as ( 1 , 2 )

Vertex b as ( 4 , 7 )

Vertex c as ( 5 , 9 )

If we rotate these values in 90 degress angle, these would become ( -y , x )

Vertex a : ( 1 , 2 ) ; After rotating : ( -2 , 1 )

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Vertex c : ( 5 , 9 ) ; After rotating : ( -9 , 5 )

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3 0

3 years ago

Judy Clark went to Reel Bank. She borrowed $7,800 at a rate of 6 1/2%. The date of the loan was September 2. Judy hoped to repay

abruzzese [7]

Answer:

$7995.85

Step-by-step explanation:

We will use simple interest formula to solve our given problem.

$A=P(1+rt)$ , where,

A = Amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

$r=6.5\%=\frac{6.5}{100}=0.065$

$t=\text{141 days}=\frac{141}{365}\text{ year}$

$A=\$78001+0.065\times \frac{141}{365})$

$A=\$7800(1+0.065\times 0.38630136986)$

$A=\$7800(1+0.025109589041)$

$A=\$7800(1.025109589041)$

$A=\$7995.85479$

$A\approx \$7995.85$

Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.

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4 years ago