Was it evaluated correct?
explain your reasoning​

[tex](2x-1)(x+5)=2x^2+9x-5=0[/tex].

The quadratic equation has a general form of

[tex]ax^2+bx+c=0[/tex].

So your "b" is 9.

Hope this helps.

Answer:  Answer is in the steps

Step-by-step explanation:

(2x-1)(x+5) = 0    First expand the left side by apply the distributive property twice.

(2x -1)(x+5) =0  

x(2x -1) =  2x^2 -1x  

5(2x -1) =  10x -5  

Now rewrite them all together

2x^2 - 1x +10x -5  = 0   combine like terms on the left side.

[tex]2x^{2}[/tex] + 9x -5 = 0      a is the first leading coefficient,b is the second leading coefficient, and  c is the constant.

So in this case, the value of b is 9.

Answer:

it's 77/16  and just say Anna's answer is wrong.

Answer:

The answer is 77/16, but you can go much dipper if you want. By just simplify 77/16, in 4×13/16. And the final result will be 4.8125. Please if you find it helpful give me a like and rate me.

Answer:

*just rant 6%×273.95 in the calculator.

Step-by-step explanation:

it says there's a borrow, which is a loan. is it plus tax and loan interest? (I invest in real estate so I understand monthly interest.)

Answer:

a. [tex] \boxed{ \bold{ \boxed{ \sf{width \: of \: rectangular \: field \: = 71 \: meter}}}}[/tex]

b. [tex] \boxed{ \bold{ \boxed{ \sf{length \: of \: rectangular \: painting \: = 85 \: cm}}}}[/tex]

Step-by-step explanation:

a. Given,

Perimeter of rectangular field ( P ) = 310 m

Length of the field ( L ) = 84 m

Width of the field ( W ) = ?

Finding the width of the rectangular field

[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}[/tex]

plug the values

⇒[tex] \sf{310 = 2(84 + w)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{310 = 168 + 2w}[/tex]

Swap the sides of the equation

⇒[tex] \sf{168 + 2w = 310}[/tex]

Move 168 to right hand side and change it's sign

⇒[tex] \sf{2w = 310 - 168}[/tex]

Subtract 168 from 310

⇒[tex] \sf{2w = 142}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2w}{2} = \frac{142}{2} }[/tex]

Calculate

⇒[tex] \sf{w = 71 \: m}[/tex]

Width = 71 meters

------------------------------------------------------------

2. Given,

Area of rectangular painting ( A ) = 5185 cm²

Width of the painting ( w ) = 61 cm

Length of the painting ( l ) = ?

Finding length of the painting

[tex] \boxed{ \sf{area \: of \: rectangle = l \times w}}[/tex]

plug the values

⇒[tex] \sf{5185 = 61l}[/tex]

Swap the sides of the equation

⇒[tex] \sf{61 \: l \: = 5185}[/tex]

Divide both sides of the equation by 61

⇒[tex] \sf{ \frac{61 \: l}{61} = \frac{5185}{61} }[/tex]

Calculate

⇒[tex] \sf{l = 85}[/tex] cm

Length = 85 cm

Hope I helped!

Best regards !!!

Answer:

Total distance traveled= 21h miles

Step-by-step explanation:

You biked at 10 mph for h hours

Speed= 10 mpg

Time = h hours

Distance covered= speed*time

Distance covered= 10h miles

walked at 3mph for twice as long as I biked,

Speed= 3 mph

Time= twice as long as biked

Time= 2(h) hours

Distance= 2h*3

Distance= 6h miles

ran at 10mph for one quarter as long as I walked

Speed= 10 mph

Time= 1/4 of(2h)

Time= 1/2h hours

Distance= 1/2h*10

Distance= 5h miles

Total distance traveled

= 10h miles +6h miles+ 5h miles

Total distance traveled= 21h miles

Answer:

64.5J

Step-by-step explanation:

Q = ml

Q = (1/1000)kg X 64.5x10^3 J/kg

Q = 64.5 J

Answer:

I'm not positive but I think it's 64.5J

Step-by-step explanation:

Please, tell me if I'm wrong

Answer:

[tex]\huge \boxed{24x-48}[/tex]

Step-by-step explanation:

The expression is given:

[tex]8(3x-6)[/tex]

Applying the distributive property.

[tex]8(3x)+8(-6)[/tex]

Simplifying the expression.

[tex]24x+-48[/tex]

Answer:x=-4+0.1/4

Step-by-step explanation:x+x+2+2x=-2.1-10-2

We move all terms to the left:

x+x+2+2x-(-2.1-10-2)=0

We add all the numbers together, and all the variables

x+x+2x+2-(-14.1)=0

We add all the numbers together, and all the variables

4x+16.1=0

We move all terms containing x to the left, all other terms to the right

4x=-16.1

x=-16.1/4

x=-4+0.1/4

Answer:

-1

Step-by-step explanation:

Answer is - 1

Answer:

[tex] \frac{17}{30} [/tex]

Step-by-step explanation:

[tex] \frac{2b + 4h}{bh} = \frac{2(10) + 4(12)}{10 \times 12} = \frac{20 + 48}{120} = \frac{68}{120} = \frac{34}{60} = \frac{17}{30}[/tex]

Hope this helps ;) ❤❤❤

Answer:

B) 17/30

Step-by-step explanation:

The expression is given to you:

(2b + 4h)/(bh)

The measurements for the variables are also given to you:

b = 10 ft.

h = 12 ft.

Plug in the corresponding numbers to the corresponding variables:

(2(10) + 4(12))/(10 * 12)

Solve. Remember to follow PEMDAS. First, solve for the multiplications within the parenthesis:

((2 * 10) + (4 * 12))/(10 * 12)

((20) + (48))/(120)

Next, Add 20 with 48:

(20 + 48)/120 = (68)/120

Then, divide:

68/120 = 17/30

B) 17/30 is your answer.

~

Answer:

2/3

Step-by-step explanation:

Choose two points from the graph; count how far one point is away from the other. Simplify if needed.

Answer:

Step-by-step explanation:

7/20

Represent the total budget amount by b.

Then from this b, subtract b/4 and then from the result subtract 2/5:

b - b/4 = (3/4)b; now from this (3/4)b subtract (2/5)b:

Converting these proper fractions to decimal fractions, we get:

0.75b - 0.40b = 0.35b

This tells us that 35/100, or 7/20, of Jaime's budget is for tutors.

All we need to do is, divide the tax cost by the total cost of the item.

32.80 / 410 = 0.08

Multiply to find the percentage.

0.08 * 100% = 8%

Therefore, the tax rate is 8%.

Best of Luck!

Answer:

6

Step-by-step explanation:

H is proportionate to L, meaning that they can be represented as a ratio, [tex]\frac{h}{l}[/tex].

[tex]\frac{18}{60}[/tex]

If we know that L in the same ratio is 20, we can set these ratio's equal to each other to find H.

[tex]\frac{18}{60} = \frac{x}{20}[/tex].

To find x, we can cross multiply.

[tex]20\cdot18=360\\\\360\div60=6[/tex]

So [tex]x=6[/tex], meaning that when [tex]L=20[/tex], [tex]H=6[/tex].

Hope this helped!

Answer:

H varies directly as L.

H=KL.

18=K60.

K=18/60=0.3.

H=0.3L

when H=?,L=20. then.

H=0.3×20=6.

Answer:

x = 19/3

Step-by-step explanation:

Solve for x:

30 x = 12 x + 22 + 23 (1 + 3)

Hint: | Evaluate 1 + 3.

1 + 3 = 4:

30 x = 12 x + 22 + 4 23

Hint: | Multiply 23 and 4 together.

23×4 = 92:

30 x = 12 x + 22 + 92

Hint: | Group like terms in 12 x + 22 + 92.

Grouping like terms, 12 x + 22 + 92 = 12 x + (92 + 22):

30 x = 12 x + (92 + 22)

Hint: | Evaluate 92 + 22.

92 + 22 = 114:

30 x = 12 x + 114

Hint: | Move terms with x to the left hand side.

Subtract 12 x from both sides:

30 x - 12 x = (12 x - 12 x) + 114

Hint: | Combine like terms in 30 x - 12 x.

30 x - 12 x = 18 x:

18 x = (12 x - 12 x) + 114

Hint: | Look for the difference of two identical terms.

12 x - 12 x = 0:

18 x = 114

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 18 x = 114 by 18:

(18 x)/18 = 114/18

Hint: | Any nonzero number divided by itself is one.

18/18 = 1:

x = 114/18

Hint: | Reduce 114/18 to lowest terms. Start by finding the GCD of 114 and 18.

The gcd of 114 and 18 is 6, so 114/18 = (6×19)/(6×3) = 6/6×19/3 = 19/3:

Answer: x = 19/3

Answer:

D

Step-by-step explanation:

Because trinomial is a expression which consists of three terms

the y-intercept=6.

because y must not be greater than  6

Answer:

-18

Step-by-step explanation:

Step 1: Substitute your x and y values in

[tex]-(2)(-3)^{2} \\(-2)9\\-18[/tex]

Therefore the answer when x = 2 and y = 3 is -18

Answer:

D

Step-by-step explanation:

It starts at 0 and goes in the negative direction, whereas the others don't

Answer:

D

Step-by-step explanation:

Answer:

391, and 98

Step-by-step explanation:

Plug in 20 where t appears:

621 (0.5)^20/30 = 621 x 0.62996 = 391.205

Rounded to 391

Plug in 80 where t appears:

621 (0.5)^80/30 = 621 x  0.6667 = 97.8

Rounded to 98

Answer: (q°r)(4) = 30

(r°q)(4) = 36

Step-by-step explanation:

First, when we have two functions f(x) and g(x), we have that:

(g°f)(x) = g(f(x))

So we are actually evaluating one function with other function.

Now, solving the problem:

q(x) = 2x - 2

r(x) = x^2

we have:

(q°r)(x) = q(r(x)) = 2*r(x) - 2 = 2*(x^2) - 2

(r°q)(x) = r(q(x)) = q(x)^2 = (2*x - 2)^2

Then:

(q°r)(4) = q(r(4)) = 2*r(4) - 2 = 2*(4^2) - 2 = 2*16 - 2 = 32 - 2 = 30.

(r°q)(4) = r(q(4)) = q(4)^2 = (2*4 - 2)^2 = 6^2 = 36.

Answer:

x

Step-by-step explanation:

the figure always contains an x!;)

Answer:

- 0.9503 ; r is not statistically significant ; 0.9031

Step-by-step explanation:

Given the following :

Age (X) :

37

41

57

65

73

Bone density (Y)

355

345

340

315

310

Using the pearson R value calculator :

The r value of the data % - 0.9503.

This value depicts a very strong negative correlation between age and density of bone.

Using the pearson R calculator to obtain the P- value, the P value obtained is .01332 and hence the r is not significant at P < 0.01.

The Coefficient of determination R^2 can be obtained by getting the square value of R

R^2 = - 0.9503^2

R^2 = 0.90307009

R^2 = 0.9031

Answer:

x=28

Step-by-step explanation:

PEMDAS

parenthesis first...

5x-8+(6x-3x-24+6)=6x+30 *remember to distribute the negative sign*

5x-8+(3x-18)=6x+30

8x-26=6x+30

2x=56

x=28

Answer:

25/48

Step-by-step explanation:

You want to multiply the numerators and the denominators

[tex]5 * 5 = 25\\\\6 * 8 = 48\\\\25/48[/tex]

Answer:25/48

Step-by-step explanation:

Answer:

a. f(-1)=12

b. f(2t)=16t²-6t+5

c. f(t-2)=4t²-19t+27

Step-by-step explanation:

For a, b, c, we are given an input. We plug that into f(x) to find our answers.

a.  f(-1)=12

f(-1)=4(-1)²-3(-1)+5

f(-1)=4+3+5

f(-1)=12

-------------------------------------------------------------------------------------------------------------

b. f(2t)=16t²-6t+5

f(2t)=4(2t)²-3(2t)+5

f(2t)=4(4t²)-6t+5

f(2t)=16t²-6t+5

-------------------------------------------------------------------------------------------------------------

c. f(t-2)=4t²-19t+27

f(t-2)=4(t-2)²-3(t-2)+5

f(t-2)=4(t²-4t+4)-3t+6+5

f(t-2)=4t²-16t+16-3t+6+5

f(t-2)=4t²-19t+27

Answer:

b = -0.5

Step-by-step explanation:

7b -0.5 = 8b

7b - 0.5 + 0.5 = 8b +0.5

7b -8b = 8b + 0.5 -8b

-x = 0.5

x = -0.5

Answer:

No, the triangles are similar with a scale factor of ⅔

Step-by-step explanation:

Given that ∆TUV was transformed to ∆WXY, it means the original lengths of ∆TUV were multiplied by a scale factor that reduced the lengths of ∆TUV to get the lengths of ∆WXY.

AA scale factor of ³/2 will increase the lengths rather than reduce it.

Therefore, the scale factor that was used was ⅔.

Thus, ⅔ of UT will give you the size of XW. Check it out below:

UT = 12, therefore, ⅔*12 = 8.

Answer:

0.009

Step-by-step explanation:

you can tell by how many 0 are in front

Answer:

0.009

Step-by-step explanation:

Method 1

we say that they are equal 0.0009=0.009

we can multiply by 10000 both sides

and get

9=90

and that clearly is not true we notice that the right one is the biggest

Method 2

An easy method for this problem

just count how many zeroes are there after the decimal point

the one that has less is the biggest

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1 liter of water equals 1000 milliliters.

To find who has more water, you need to convert (the unit) of each person to either liters or milliliters.

Since it asks for millimeters, I'm going to convert Tutu's 7/10 liters to milliliters. Since there are 1000 milliliters in every liter, you have to multiply 7/10 by 1000. 7/10 multiplied by 1000 is 700.

So Pete has 500 milliliters of water and Tutu has 700 milliliters of water.

Now you need to find the difference of 700 and 500 by subtracting.

700-500=200

Tutu bought 200 more milliliters of water than Pete.

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