1. In a group, there were 115 people whose proofs of identity were being verified. Some hadpassport, some had voter id and some had both. If 65 had passport and 30 had both, how many had voter id only and not passport? .

Answer:

4 and -1

Step-by-step explanation:

A quadratic function is given to us and we need to find the x Intercepts of the given function . The function is ,

[tex]\bf \implies g(x) = -2( x -4)(x+1)[/tex]

Step 1 : Equate the function with 0,

[tex]\bf \implies -2( x -4)(x+1) = 0 [/tex]

Step 2: Equating with 0 :-

Now equate each factors seperately with 0 , to get the x Intercepts.

Step 3: Finding the intercepts :-

[tex]\bf \implies x - 4 = 0 \\\\\implies\boxed{\bf\blue{ x = 4 }} [/tex]

Again ,

[tex]\bf \implies x + 1 = 0 \\\\\implies\boxed{ \blue{\bf x = -1}} [/tex]

Hence the x intercepts are 4 and -1 .

Answer:D (4,0) and (-1,0)

Step-by-step explanation:

Answer:

(a) Hence the maximum error in the calculated area of the disk is 32.67[tex]cm^{2}[/tex].

(b) Hence the relative error is 1.54%.

Step-by-step explanation:

Here the given are,

The Radius of the circle r = 26cm.

The maximum error in measurement dr = 0.2 cm.

Answer:

(a) [tex]A =(4245.28\pm32.66) cm^2[/tex]

(b) [tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]

Step-by-step explanation:

radius, r = 26 cm

error = 0.2 cm

(a) The area of the disc is given by

[tex]A = \pi r^2\\\\dA = 2\pi r dr\\\\dA = 2 \times 3.14\times 26\times 0.2= 32.66[/tex]

Now

A = 3.14 x r x r = 3.14 x 26 x 26 = 4245.28 cm^2

So, the area with error is given by

[tex]A =(4245.28\pm32.66) cm^2[/tex]

(b) The relative error is

[tex]\frac{dA}{A}=\frac{32.66}{4245.28}=0.0077[/tex]

Answer:

you can make 3 outfits

Step-by-step explanation:

because,if you just have 3 shoes aotomaticly you just wear 3 shirt and 3 pants.

for the socks, one people wear 2 socks so there you have 3 outfits

Answer:

[tex]810[/tex]

Step-by-step explanation:

For each shirt, there are 6 different pairs of pants to pair with it. For each of these pairs of pants, there are 3 different shoes to pair and so on.

Therefore, there are [tex]5\cdot 6\cdot 3\cdot 9=\boxed{810}[/tex] combinations you can make.

Answer:

[tex](x + 3)(x - 2)(x - 1)[/tex]

Step-by-step explanation:

[tex] {x}^{3} - 7x + 6[/tex]

Factor using Rational Root Theorem.

This means our possible roots are

positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.

This means that

[tex](x - 1)[/tex]

is a root.

We can divide the top equation by the root (x-1). Our new equation is

[tex]( {x}^{2} + x - 6)[/tex]

Now we can factor this completely

[tex](x + 3)(x - 2)[/tex]

So this equation in factored form is

[tex](x + 3)(x - 2)(x - 1)[/tex]

9514 1404 393

Answer:

  (c) √49

  (d) 2.544544...(3-digit repeat)

Step-by-step explanation:

Square roots of perfect squares are rational, as are repeating decimals.

Step-by-step explanation:

here's the answer to your question

Answer:

The last choice

Step-by-step explanation:

:)

The solution of the equation 3x² + 17x - 6 = 0 are, x = 1/3 and x = - 6.

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The quadratic equation is,

⇒ 3x² + 17x - 6 = 0

Now, We can solve the equation as;

⇒ 3x² + 17x - 6 = 0

⇒ 3x² + (18 - 1)x - 6 = 0

⇒ 3x² + 18x - x - 6 = 0

⇒ 3x (x + 6) - 1 (x + 6) = 0

⇒ (3x - 1) (x + 6) = 0

This gives two solutions,

⇒ 3x - 1 = 0

⇒ x = 1/3

And, x + 6 = 0

⇒ x = - 6

Learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ2

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Hypergeometric distribution

[tex]\frac{{6\choose2}}{{12\choose2}}=\frac{15}{66}= \frac{5}{22}[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

The transformation g(x) = f(x -h) +k is a translation of f(x) to the right by h units and up k units.

1. h = -1, so the graph of g(x) is the graph of f(x) shifted left 1 unit. (blue)

__

2. k = -2, so the graph of g(x) is the graph of f(x) shifted down 2 units. (green)

Answer:

C

Step-by-step explanation:

The profit (in thousands of dollars) of a company is given by the function:

[tex]\displaystyle P(x) = -8x^2+32x+14[/tex]

And we want to find the maximum profit of the company.

Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex. Recall that the vertex of a quadratic is given by:

[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

Find the x-coordinate of the vertex. In this case, a = -8, b = 32, and c = 14. Hence:

[tex]\displaystyle x=-\frac{(32)}{2(-8)}=\frac{32}{16}=2[/tex]

To find the maximum profit, substitute this value back into the function. Hence:

[tex]\displaystyle P(2) = -8(2)^2+32(2) + 14 = 46[/tex]

Therefore, the maximum profit of the company is 46 thousand dollars.

Our answer is C.

Answer:

110100

Step-by-step explanation:

Answer:

OS = 10

Step-by-step explanation:

We can use a ratio to solve

QP     PR

-----  = ------

QO     OS

14          7

-----   = -------

14+6      OS

14          7

-----   = -------

20        OS

Using cross products

14 * OS = 7*20

14 OS = 140

Divide by 14

OS = 140/14

OS = 10

Answer:

A. 9

Step-by-step explanation:

First find the slope (m) using two given pairs of values form the table, say (1, 6) and (2, 3):

Slope (m) = change in y/change in x

Slope (m) = (3 - 6)/(2 - 1) = -3/1

Slope (m) = -3

Next, substitute (1, 6) = (x, y) and m = -3 into y = mx + b and solve for y-intercept (b).

Thus:

6 = -3(1) + b

6 = -3 + b

Add 3 to both sides

6 + 3 = -3 + b + 3

9 = b

b = 9

y-intercept = 9

Answer:

1 page of a report per hour

Step-by-step explanation:

2/2= 1 page per hour

Lets find unit rate

[tex]\\ \sf\longmapsto \dfrac{2\dfrac{1}{2}}{2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{2}\div 2[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]

[tex]\\ \sf\longmapsto 1.2pages/hour[/tex]

a perfect square trinomial, (x + y)² = x² + 2xy + y²

so, if we have the x of the bx, what is left is the b

the expression would have to be (x + 7)², since we have the 49 and the x²

so, what's left: x² + 14x + 49,

b = 14

hope it helps :)

Answer: The probability would be zero

Step-by-step explanation:

There are two children and one is a boy, so the probability of both being girls is a zero

Answer:

Step-by-step explanation:

If the three points are collinear, the slopes of RS and ST are same:

Since the sloes are equal we have the following equation:

Slopes must be equal

slope of RS

Now

Slope of ST=-2

Answer:

$ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

Step-by-step explanation:

Given that in investing $ 6,200 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple interest, and the rest was invested in a riskier mini-mall development plan paying 9% annual simple interest, and the combined interest earned for the first year was $ 428, to determine how much money was invested at each rate, the following calculation must be performed:

3000 x 0.04 + 3200 x 0.09 = 408

2500 x 0.04 + 3700 x 0.09 = 433

2600 x 0.04 + 3600 x 0.09 = 428

Therefore, $ 2,600 was invested at 4% and $ 3,600 was invested at 9%.

Answer:

44

Step-by-step explanation:

gradpoint

Answer:

11/2

Step-by-step explanation:

Given 12x+16y=11

Halving both sides gives 6x+8y=11/2.

Answer:

115

Step-by-step explanation:

The opposite angles (115degree angle and angle 4) are equal.

Angle 3=65

Angle 4=115

Angle 5=115

Angle 6=65

Angle 7=65

Angle 8=115

Brainliest please~

Answer:

40m

Step-by-step explanation:

to find the area of a triangle you must do bh/2

So you do 10 times 8 which is 80.

Then you do 80 divided by 2 which is 40.

I hope this helps!

9514 1404 393

Answer:

  x = 36

Step-by-step explanation:

The interior angle at E is (180-2x). The interior angle at F is (180-4x). The sum of the interior angles of the triangle is 180, so we have ...

  (180 -2x) +x +(180 -4x) = 180

  180 = 5x . . . . . . add 5x-180 to both sides

  36 = x . . . . . . . divide by 5

__

Additional comment

This value of x makes the exterior angles at E and F be 72° and 144°, respectively. The internal angles at E, F, G are then 108°, 36°, 36°, making the triangle isosceles with EF = EG.

9514 1404 393

Answer:

  a.  $19817.10

  b.  $21998.87

Step-by-step explanation:

The formula for the future value of an annuity with payments "A" and interest at rate r compounded quarterly for t years is ...

  FV = A((1 +r/4)^(4t) -1)/(r/4)

The attachment shows this evaluated for ...

a. A = 900, r = 0.04, t = 5. FV = $19817.10

b. A = 450, r - 0.04, t = 10. FV = 21,998.87

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{15 - 7x = 14}[/tex]

[tex]\large\text{-7x + 15 = 14}[/tex]

[tex]\underline{\large\text{SUBTRACT 15 to BOTH SIDES}}[/tex]

[tex]\large\text{-7x + 15 - 15 = 14 - 15}[/tex]

[tex]\underline{\underline{\large\text{CANCEL out: 15 - 15 because that gives you 0}}}[/tex]

[tex]\underline{\underline{\large\text{KEEP: 14 - 15 because that helps solve for the x-value}}}[/tex]

[tex]\large\text{14 - 15 = \bf -1}[/tex]

[tex]\underline{\underline{\underline{\large\text{NEW EQUATION: -7x = -1}}}}[/tex]

[tex]\underline{\large\text{DIVIDE -7 to BOTH SIDES}}[/tex]

[tex]\mathsf{\dfrac{-7\mathsf{x}}{-7}=\dfrac{-1}{-7}}[/tex]

[tex]\underline{\underline{\large\text{CANCEL out: } \dfrac{-7}{-7} \large\text{ because that gives you 1}}}[/tex]

[tex]\underline{\underline{\large\text{KEEP: }\dfrac{-1}{-7}\large\text{ because helps you get the x-value}}}[/tex]

[tex]\mathsf{x = \dfrac{-1}{-7}}[/tex]

[tex]\mathsf{x = \dfrac{-1\div-1}{-7\div-1}}[/tex]

[tex]\mathsf{x =\bf \dfrac{1}{7}}[/tex]

[tex]\boxed{\boxed{\large\text{Therefore, your answer is: \bf x = }\bf \dfrac{1}{7}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]