The sum of eighteen and eight times a number is ninety.
what is the number?

Answer:

y = 1/3 x 2 +4 x + 15

Step-by-step explanation:

y = a (x - h)2 + k

where (h,k) are the coordinates of the vertex and a is a multiplier

here (h,k) = ( - 6, 3)

y = a ( x + 6)2 + 3

to find a substitute (12,9) into the equation

9 = 18 a + 3

18 a = 9 - 3 = 6 a = 6/18 = 1/3

y = 1/3 (x + 6)2 + 3

distributing gives

y = 1/3 (x2 + 12x + 36) + 3

y = 1/3x2 + 4x + 15

Answer:

I said C on my test but I'm pretty sure its right

Answer:

77 is the answer your welcome

Answer:

The awnser is A or -7/5

Step-by-step explanation:

you have to put the points into the formula y²-y¹/x²-x¹ (this is a fraction the y part is on top and the x part is on the bottom) then you need to plug in the numbers so it would look like 5-(-2)/-2-3. then you would add 5+2 since that is what -(-) means. then you would take 2+3 as -2-3. so the awnser would be -7/5.

Hope this helps

Answer:

x+y=5

Step-by-step explanation:

Isolate y in the first equation:

3x+ 2y = 10

2y = 10 - 3x

y= (10 - 3x)/2

substitute this value of y into the second equation:

2x + 3 ((10 - 3x)/2) = 15

now solve for x:

2x + 3/2 (10 - 3x) =15

2x + 15 - 9/2x = 15

-5/2 x = 15 - 15

-5/2 x / (-5/2) = 0/(-5/2)

x=0

now use this value to solve for y:

y = (10 - 3(0))/2

y = 10/2

y = 5

now x+y

0+5=5

Answer:

N=89

59 = n - 35

54+35 = n

89=n

n=89

Answer:

1/2x+3

Step-by-step explanation:

I graphed it

Answer:

The answer is 2 : 3.

Step-by-step explanation:

First, you have to convert the units to minutes :

1 hr = 60 min

1/2 hr = 60 × 1/2 = 30 min

Then, you have to simplify the ratio to simplest form :

30 : 45

= (30÷15) : (45÷15)

= 2 : 3

Answer:

To see the ratio, we should have both in the same unit. We can pass 1/2 hour to minutes, as we know one hour are 60 minutes:

60/2 = 30

So we know half hour are 30 minutes.

Now, we know the ratio 30:45, but we can simplify it, as a fraction.

To simplify it, we will divide both numbers by the same quantity, in this case, divide 30 and 45 by 15 (a it's a divisor):

30/15 = 2 and 45/15 = 3, so the ratio is 30:45, which is equivalent to 2:3

Answer:

False.

Step-by-step explanation:

Any straight line may have infinite number of points (solutions) lying on it.

Therefor, straight line 'l' can't have exactly two solutions.

Line 'l' will have infinitely many solutions.

Exactly one or two solutions are possible only when two lines or functions intersect each other.

Therefore, answer is false.

Answer:

[tex]\boxed {\boxed {\sf x^2+8x+7=0}}[/tex]

Step-by-step explanation:

We want to put the equation into the standard form of a quadratic equation ([tex]ax^2+bx+c=0[/tex]). This allows us to factor or use the quadratic formula to find the roots.

We are given the equation:

[tex]x^2+8x+10=3[/tex]

We have to get a 0 on one side of the equation. The easiest way to do this is to "get rid" of the 3 on the right side using inverse operations.

It's a positive 3, so the inverse would be subtract. Subtract 3 from both sides of the equation.

[tex]x^2+8x+10-3=3-3[/tex]

[tex]x^2+8x+(10-3)=0[/tex]

[tex]x^2+8x+7=0[/tex]

The equation in standard form is x²+8x+7=0

Answer:

60 cm 2

Step-by-step explanation:

Answer:

60 cubic cm

Step-by-step explanation:

i just multiplied 3 x 4 x 5 and that gave me 60 and cubic cm

hoped it helped :)

Answer: the value for the associated test statistic is 1.2653

Step-by-step explanation:

Given that;

sample size one n₁ = 10

mean one x"₁ = 6.4

standard deviation one S₁ = 1.1

sample size two n₁ = 11

mean two x"₂ = 5.6

standard deviation one S₁ = 1.7

H₀ : μ₁ = μ₂

H₁ : μ₁ ≠ μ₂

Pooled Variance

sp = √( { [(n₁ - 1) × s₁² + (n₂ - 1) × s₂²] / (n₁ + n₂ - 2)} × (1/n₁ + 1/n₂))

we substitute

= √( { [(10 - 1) × (1.1)² + (11 - 1) × (1.7)²] / (10 + 11 - 2)} × (1/10 + 1/11))

= √( { [(9) × 1.21 + (10) × 2.89]  / (19) } × (0.1909))

= √({[ 39.79 ]  / 19} × (0.1909))  

= √( 2.0942 × 0.1909)

= √( 0.39978 )

= 0.63228

Now Test Statistics will be;

t = ( x"₁ - x"₂) / sp

we substitute

t = ( 6.4 - 5.6) / 0.63228

t = 0.8 / 0.63228

t = 1.2653

Therefore the value for the associated test statistic is 1.2653

Answer:

False

Step-by-step explanation:

No options is attached to the question. However, I'll assume it's a true or false question.

Represent the radius with r.

The circumference is calculated as:

X = 2πr

When the radius is doubled, the new radius R is

R = 2r

And the new circumference, C is:

C = 2πR

Substitute 2r for R

C = 2π * 2r

C = 4πr

Factorize the above equation.

C = 2 * 2πr

Recall X = 2πr;

The expression becomes:

C = 2 * X

C = 2X

This means that the circumference is doubled, not quadrupled.

Hence, the statement is false.

Answer:

The 90% confidence interval is   [tex] 87.95   <  \mu < 92.05  [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  [tex]n = 28[/tex]

    The  sample mean is  [tex]\= x = 90[/tex]

    The standard deviation is  [tex]s= 60[/tex]

Generally given that the sample size is not large enough i.e  n <  28 then we will make use of the t distribution table  

Generally the degree of freedom is mathematically represented as

         [tex]df = n- 1[/tex]    

=>      [tex]df = 28 - 1[/tex]  

=>      [tex]df = 2 7[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the student t  distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 2 7[/tex]  is  

   [tex]t_{\frac{\alpha }{2} , 27  } =  2.052[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=> [tex]90  - 2.052  <  \mu < 90  + 2.052  [/tex]

=> [tex] 87.95   <  \mu < 92.05  [/tex]

Answer:

not equal

Step-by-step explanation:

Answer:

x= -7.5

Step-by-step explanation:

x-12-5=3x-2

x-17=3x-2

-2x=15

x=-7.5

Answer:

The equation of the parabola in standard is [tex]y=x^{2}+5x-1[/tex]

Step-by-step explanation:

The standard form equation of the parabola is:

[tex]y=ax^{2}+bx+c[/tex]

Using the three points we can find a, b and c.

Let's put the first point (0,-1)into the standard form equation.

[tex]-1=a(0)^{2}+b(0)+c[/tex]

[tex]c=-1[/tex]

Using the second point (1,5) and the value of c found above.

[tex]5=a(1)^{2}+b(1)+c[/tex]

[tex]5=a+b-1[/tex]

[tex]6=a+b[/tex] (1)

Finally using the las point (-1,-5)  

[tex]-5=a(-1)^{2}+b(-1)+c[/tex]

[tex]-5=a-b-1[/tex]

[tex]-4=a-b[/tex] (2)  

Solving the system of equations (1) and (2) we can find a and b.

[tex]6=a+b[/tex]

[tex]-4=a-b[/tex]

Adding both of them we have:

[tex]2=2a[/tex]

[tex]a=1[/tex]

And b = 5.

Therefore, the equation of the parabola in standard form will be.

[tex]y=x^{2}+5x-1[/tex]

I hope it helps you!  

Answer:

3/7

Step-by-step explanation:

12 ÷ 4

28 ÷ 4

Answer:

B 12x + 9.5y ≤ 220 AND x + y ≤ 20

Step-by-step explanation:

Answer:

A.12x + 9.5y ≤ 220 AND x + y ≥ 20

Step-by-step explanation:

≤ 220 symbolizes that he can earn 220 or more than 220.

≥ 20 symbolizes that he can work 20 hours or less.

Answer:

1. 40/8 = 45/9

2. 42/14 = 15/5

3. 14/2 = 56/8

4. 8/4 = 26/13

Step-by-step explanation:

Answer:

|Z| = |-4.089| > 1.645 at 0.10 level of significance

Null hypothesis is rejected at  0.10 level of significance

There is a difference between the two Population proportions

Step-by-step explanation:

Step(i):-

Given first sample size (n₁)  = 50

Given  proportion of the first sample p⁻₁= 0.2

Given second sample size (n₂)  = 50

Given proportion of the second sample p₂⁻ = 30/50 = 0.6

Null Hypothesis : H₀: p₁⁻=p₂⁻

Alternative Hypothesis : H₁: p₁⁻≠p₂⁻

Step(ii):-

Z-statistic

             [tex]Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2}) } } }[/tex]

Where

         [tex]P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }[/tex]

        [tex]P = \frac{50X0.2+50X0.6}{50+50} = 0.4[/tex]

Z-statistic

      [tex]Z = \frac{0.2-0.6}{\sqrt{0.4 X 0.6(\frac{1}{50}+\frac{1}{50} } }[/tex]

     Z =  -4.089

Level of significance =0.10

Z₀.₁₀ = 1.645

|Z| = |-4.089| > 1.645 at 0.10 level of significance

Null hypothesis is rejected at  0.10 level of significance

Final answer:-

There is a difference between the two Population proportions

Answer:

The last choice 8,240,000.

Step-by-step explanation:

The exponent 6 tells us there are 6 digits after the first digit (8).

Answer is 8,240,000

Answer:

3 milkshakes 3 sundaes

Step-by-step explanation:

First write the equation.

y = total cost

x = cost of sundae

z = cost of milkshake

21=2x+5z

x+z=6 or x = 6-z

substitute in x = 6-z into the first equation

21 = 2(6-z) + 5z

21 = 12 - 2z + 5z

21 = 12 + 3z

subtract 12 from both sides

21 - 12 = 12 - 12 + 3z

9 = 3z

divide both sides by 3

3 = z

so she bought 3 milkshakes.

That means x+z = 6 and z=3 so

x+ 3 = 6, then x=3 as well, so she bought 3 sundaes.

please give thanks by clicking the heart button :)

Answer:

she bought 3 sundaes and 3 milkshakes

Step-by-step explanation:

let's call the amount of milkshakes M.

let's call the amount of sundaes S.

you know that in total, there are 6 children.

so, you can make the following equation:

M + S = 6

if the milkshakes cost 5$ each, then the cost of the milkshakes can be expressed as 5m

if the sundaes cost 2$ each, then the cost of the sundaes can be expressed as 2S

you also know that Mrs. Browning spent 21$ in total.

so, you can make the following equation:

5m + 2S = 21

this is a system of equations.

using the first equation, you know that M = 6 - S

you can substitute M for 6 - S in the second equation

5m + 2s = 21

5(6 - s) + 2s = 21

30 - 5s + 2s = 21

30 - 3s = 21

30 = 21 + 3s

30 - 21 = 3s

9 = 3s

now that you know how many sundaes there are, you can substitute that into the first equation:

m + s = 6

m + 3 = 6

m = 6 - 3

Answer:

(C) f(x) = 4(x + 6)2 – 134

Step-by-step explanation:

edge 2022

Answer:

The 3rd one

Step-by-step explanation:

Can have brainliest

Answer:

The 3rd one

Step-by-step explanation:

hope it helps

also can i have brainlist

9514 1404 393

Answer:

  see below

Step-by-step explanation:

First row

Fill in the given x-value and solve for y:

  3(-4) +2y = -6

  -12 +2y = -6

  -6 +y = -3 . . . . . divide by 2

  y = 3 . . . . . . . . . add 6

__

Second row

Fill in the given y-value and solve for x:

  3x +2(0) = -6

  x = -2 . . . . . . . . . divide by 3

Answer:

Step-by-step explanation:

option d

Correct question is;

Complete this division sentence.

9988 ÷ 23 = R

Answer:

9988 ÷ 23 = 434 R 6

Step-by-step explanation:

....... 434

_________

23|9988

......92

¯¯¯¯¯¯¯¯¯¯¯

........ 788

.........69

¯¯¯¯¯¯¯¯¯¯

........... 98

............92

¯¯¯¯¯¯¯¯¯¯¯

............. 6

Thus ; 9988 ÷ 23 = 434 R 6

Answer:

ASA

Step-by-step explanation:

since 2 angles and 1 side is the same, the triangles are congruent by the ASA theorem