In the following function defined by an equation in the form y = ax + bx+c, identify the values of a, b, and c.
y = 5x2 + 2x-1
a. d=-1, b = 2,0 = 5
b. a = -2, b = 5,0 = 1
C. a = 1, b = 5,0 = 2
d. a = 5,6 = 2,0 = -1

Answer:

D. (x-6)

Step-by-step explanation: Just did it

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} : [/tex]

[tex] \large{ \tt{❊ \: {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]

[tex] \large{ \tt{⇢ {p}^{2} + {b}^{2} = {h}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = {h}^{2} - {p}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = {37}^{2} - {12}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = 1369 - 144}}[/tex]

[tex] \large{ \tt{ ⇢{b}^{2} = 1225}}[/tex]

[tex] \large{ \tt{⇢ \: b = \sqrt{1225}}} [/tex]

[tex] \large{ \tt{⇢ \: b = 35 \: \text {units}}}[/tex]

[tex] \large{ \tt{➝ \: Tan \: \theta = \frac{p}{b} = \boxed{ \tt{ \frac{12}{35} }}}}[/tex]

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Answer:

-2 and -8

Step-by-step explanation:

-2 + (-8) = -10

-2 * -8 = 16

Answer:

You divide 62/12=5.166

Given:

The weights of dogs in a dog show is normally distributed.

Mean = 58 pounds

Standard deviation = 15

To find:

The probability that the weight of the dogs are between 35.5 and 65.5 pounds.

Solution:

We know that,

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

Where, [tex]\mu[/tex] is mean and [tex]\sigma [/tex] is the standard deviation.

We need to find the value of [tex]P(35.5<x<65.5)[/tex].

[tex]P(35.5<x<65.5)=P\left(\dfrac{35.5-58}{15}<\dfrac{x-58}{15}<\dfrac{65.5-58}{15}\right)[/tex]

[tex]P(35.5<x<65.5)=P\left(-1.5<z<0.5\right)[/tex]

[tex]P(35.5<x<65.5)=P\left(z<0.5\right)-P\left(z<-1.5\right)[/tex]

Level of significance is 95%.

[tex]P(35.5<x<65.5)=0.69146-0.066807[/tex]

[tex]P(35.5<x<65.5)=0.624653[/tex]

[tex]P(35.5<x<65.5)\approx 0.6247[/tex]

Therefore, the probability that the weight of the dogs are between 35.5 and 65.5 pounds is about 0.6247.

Answer:

irrational

Step-by-step explanation:

pi itself is irrational, so adding something to it makes no difference

Answer: Irrational

Step-by-step explanation:  The sum of two rational numbers is  

✔ always  rational.

The sum of a rational number and an irrational number is  

✔ never  rational.

The product of a rational number and an irrational number is  

✔ always  irrational.

The product of two rational numbers is  

✔ never  irrational.

Determine whether each of the following problems will have a rational or an irrational answer. Your answer should be either the word “rational” or “irrational.”

18+pi = irrational

A repeating decimal + A fraction   =rational

3/13 x sqrt 52 =irrational

Answer:

4 students

Step-by-step explanation:

Although I am not sure if I am completely correct. I’ll try my best.

We know:

The numbers 0-12 on the frequency table is the number of windows.

The numbers on the bottom is the amount of students.

-

What we can see:

As we can see..

-

Calculations:

Since the number of students that have the amount of windows less than 10 is 4 (0-4 section) and 0 (10-14 section)

Add.

4+0

= 4

Therefore, 4 students have less than 10 windows.

¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿???????????????

Very sry to tell that I really don't know it...

Answer:

62

Step-by-step explanation:

12+12+3+3+7+10+15

you just add all the sides

Answer:

$175

Step-by-step explanation:

you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.

They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25

Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.

Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.

Answer:

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

3 T + 4 B =425

T + B = 125

Where T is the number of tacos sold, and B is the number of burritos sold.

Multiplying the second equation by 3, and subtracting it to the first equation:

3 T + 4 B =425

3T + 3B = 375

___________

B =50

Replacing B in any equation:

T + B = 125

T +50 =125

T =125-50

T = 75

Feel free to ask for more if needed or if you did not understand something.

3/5×(-3)/10 + 1/15 - 3/5×1/5 =  -7/30 ≅  -0.2333333

I hope this helps!

Answer:

x=20, y=17, and z=6 or (20,17,6)

Step-by-step explanation:

Hi there!

We're given the system of equations:

2x+z=46

3z=18

2y+z=40

and we need to solve for x, y, and z

first, let's find the value of z, as we have z by itself (no other variables) in 3z=18

divide both sides by z

z=6

the value of z is found :)

now we can use z=6 to find the value of the other variables; for example, plug z as 6 into 2x+z=46 to solve for x

2x+6=46

subtract 6 from both sides

2x=40

divide by 2

x=20

Finally, let's find y

once again, we can substitute z as 6 in the equation 2y+z=40 to find y

2y+6=40

subtract 6 from both sides

2y=34

divide by 2

y=17

so the answer is: x=20, y=17, and z=6; if you need it in a point it's (20,17,6)

Hope this helps! :)

Work Shown:

m = (y2-y1)/(x2-x1)

m = (7-2)/(11-3)

m = 5/8

m = 0.625

m = 0.6

Answer:

Step-by-step explanation:

if two lines are parallel and a transversal cuts it,then corresponding angles are equal.

?=130°(corresponding angles)

Answer:

Step-by-step explanation: example:

Problem: You deposit some money into a bank account paying 2% simple interest per 6 months. You received $15 in interest after 9 months. How much the deposit (principal) was?

Result: The principal was $500.

STEP 1: Convert interest rate of 2% per 6 months into rate per year.

STEP 2: Convert 9 months

STEP 3: Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this example I = $15, i = 4% and t = 0.75 years, so

Answer:

bottom right and the middle one from the left

Answer:

c

Step-by-step explanation:

Answer:

six and one over twelve

Step-by-step explanation:

1/4 + 5 5/6=1/4+35/6 = 6 1/12

step 3 35

6

step 4 answer = 35

6

Answer:

326.06 in^3

Step-by-step explanation:

Volume of the cylinder = [tex]\pi[/tex] · [tex]r^{2}[/tex] · h

Volume of the cylinder = [tex]\pi[/tex] · [tex]4^{2}[/tex] · 4

Volume of the cylinder = [tex]\pi[/tex] · 16 · 4

Volume of the cylinder = [tex]\pi[/tex] · 64

Volume of the cylinder = 201.06 in^3

Volume of the composite = length · width · height

Volume of the composite = 5 · 5 · 5

Volume of the composite = 125 in^3

201.06 + 125 = 326.06 in^3

Answer:

5

Step-by-step explanation:

Given that 3 is a root of the equation x²-px+6=0

To find the value of p, substitute 3 into the equation for x

Hence x²-px+6=0

becomes

3^2 - 3p + 6 = 0

9 -3p + 6 = 0

collect like terms

-3p = -9 - 6

-3p = -15

Divide both sides by -3

p = -15/-3

p = 5

[tex]y = \frac{28}{5} [/tex]

Answer:

[tex]y=5.6[/tex] or [tex]y=28/5[/tex]

Step-by-step explanation:

4/5 = y/7

⇒ Cross multiply:

4 × 7 = 5 × y

⇒ Multiply 4 × 7 & 5 × y:

[tex]28=5y[/tex]

⇒ Solve the formed equation:

[tex]28=5y[/tex]

⇒ Move all the terms containing y to the right side and the other values to the left side:

⇒ Add '-5y' to each side of the equation:

[tex]28+-5y=5y+-5y[/tex]

⇒ Combine like terms: [tex]5y+-5y=0[/tex]

[tex]28+-5y=0[/tex]

⇒ Add '-28' to each side of the equation:

[tex]28+-28+-5y=0+-28[/tex]

⇒ Combine like terms: [tex]28+-28=0[/tex]

[tex]0+-5y=0+-28[/tex]

[tex]-5y=0+-28[/tex]

⇒ Combine like terms: [tex]0+-28=-28[/tex]

[tex]-5y=-28[/tex]

⇒ Divide each side by '-5':

[tex]y=5.6[/tex] or [tex]y=28/5[/tex]

hope this helps :)

Answer:

1) -3 x 3=-9

2) -3x-3=9

3)20x5=100

4) 21x-3=-63

5) -2x3x-4=24

note: negative x positive= negative

negative x negative=positive

positive x positive= positive

Step-by-step explanation:

hope this is helpful

Step-by-step explanation:

Answer:

The car price decreased by $2,268.

The price of the car now is $33,732.

Step-by-step explanation:

Multiply 0.063 (6.3% in decimal form) by $36,000 to get $2,268, which is how much the price decreased.

Then subtract 2,268 from 36,000 to get $33,73, which is the price of the car after the decrease.

Answer:

Step-by-step explanation:

6.3 : 100 = x : 36000

x = (36000 * 6.3)/100 = $2268 (decrease in price)

Price of new model: 36000 - 2268 = $33732

Answer:B

Step-by-step explanation:

A(3;4) in the parabola.

The answer B: y=(x-3)^2 +4.

y=yA=4; x=xA= 3

=> 4=(3-3)^2+4 (right)

Answer:

Both plans are correct

Step-by-step explanation:

I already did it

Answer:

401.24m

Step-by-step explanation:

the length is,

97x2 + 66x3.14

Answer:

per inch 0.90 cents hhhhhhjjkolllll

Answer:

its 8

Step-by-step explanation:

4 times 2 is 8 and you cant get 6 or 12

Answer:

A

Step-by-step explanation:

Area of base = length x width = 4 * 2 = 8 square units