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3 years ago

Solve for x Write the smaller solution first, and the larger solution second.

Mathematics

1 answer:

posledela3 years ago

6 0

Answer:

x= -18.16 x= -11.84

Step-by-step explanation:

(x+15)(x+15)= x^2+30x+225-10=0

x^2+30x+215=0

a=1 -30±√(30)²-4(1)(215)

b=30 -----------------------------

c=215 2(1)

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Jared buys 2.4 pounds of broccoli for $3.24. Which equation could Jared use to find c, the cost of each pound of broccoli

ss7ja [257]

Answer:

1.35

Step-by-step explanation:

3.24/2.4=1.35

7 0

2 years ago

Based on the residual plot, is the linear model

ch4aika [34]

Answer:

not appropriate

Step-by-step explanation:

A linear model is not appropriate because the residual plot does not show a linear pattern.

4 0

2 years ago

Twin brothers, Billy and Bobby, can mow their grandparent’s lawn together in 63 minutes. Billy could mow the lawn by himself in

Pepsi [2]

Answer:

<h2>140 minutes</h2>

Step-by-step explanation:

this problem focuses on the combined work rate

both can finish the work under 63 minute

let bobby mow the lawn in x minute

Billy will then mow the lawn in x-25 minutes

Let the completed job = 1 (a mowed lawn)

we can now apply the combined work formula for the two boys as

$\frac{63}{x}+\frac{63}{x-25}=1$

multiplying through by x(x-25 )we have

$63(x-25)+63x= x(x-25)$

open bracket we have

$63x-1575+63x= x^2-25x$

rearranging and collecting like terms we have

$0=x^2-25x-63x-63x+1575 \\\\0=x^2-151x+1575 \\\\x^2-151x+1575=0$

we can now use the quadractic formula

$x=\frac{-b\frac{+}{} \sqrt{b^2-4ac} }{2a}$

a= 1

b= -151

c= 1575

$x=\frac{-(-151)\frac{+}{} \sqrt{151^2-4*1*1575} }{2*1}$

$x=\frac{-(-151)\frac{+}{} \sqrt{22801-6300} }{2} \\\\x=\frac{-(-151)\frac{+}{} \sqrt{16501} }{2} \\\\x=\frac{-(-151)\frac{+}{} 128.45}{2} \\\\$

$x=\frac{-(-151)+128.45}{2} \\\\\x=\frac{279.45}{2} \\\\x=139.72 \\\\\\x=\frac{-(-151)-128.45}{2}\\\\x=\frac{151-128.45}{2}\\\\x=\frac{22.55}{2}\\\\x=11.27$

the first answer x= 139.72 approximately 140 minutes mins is correct for Bobby's time

let us check

$\frac{63}{140}+\frac{63}{140-25}=1\\\\\\0.45+\frac{63}{115} =1\\\\0.45+0.5478=1\\0.997 =1$

we can see that the solution approximates to 1

8 0

3 years ago

How do you rewrite y=1-1/2 x in slope-intercept form?

Brrunno [24]

Slope-intercept form is y=mx+b. It looks like you already have most of the equation there. Just rearrange a little. From what I can tell, you have y=1 - 1/2x. Just move the negative 1/2x in front of the 1. You'll get y= -1/2x + 1. Hope this helped!

8 0

2 years ago

Read 2 more answers

F(x)=−4x <br> 2<br> +5x<br> \text{Find }f(6)<br> Find f(6)

Vilka [71]

Answer:

-114

Step-by-step explanation:

f(x) = -4x^2 +5x

Let x = 6

f(6) = -4(6)^2 +5(6)

= -4(36) +30

- 144+30

= -114

7 0

2 years ago