Find f(4) for the function f(x) = 3x2 + x - 6

Answer:

Step-by-step explanation:

Hi!

I already solved it here.

https://brainly.com/question/17314856

the remainder is - 1

when (x ³ - 7x + 5) is divided by (x + 3) the remindeer is f( -3 )

x + 3 = 0 => x = - 3

f(-3) = (-3)³ - 7(-3) + 5

= - 27 + 21 + 5

= - 1

Answer:

[tex]32\ and\ 34.[/tex]

Step-by-step explanation:

Let x be the smaller number.

The next even number will be (x + 2).

[tex]x+x+2=66[/tex]

[tex]2x+2=66[/tex]

Subtract 2 from both sides:

[tex]2x+2-2=66-2[/tex]

[tex]2x=64[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{64}{2}[/tex]

[tex]x=32[/tex]

The smaller number is 32.

Larger number [tex]=32+2=34[/tex]

Answer:

C,  pounds

Step-by-step explanation:

grams and ounces are automatically out because they just don't make sense, and a car can't weigh 4500 tons, it would be too heavy to drive.

hope this helps!!!

Answer:

The Answer is B (2x[tex]10^{9}[/tex],7x[tex]10^{-1}[/tex],8x[tex]10^{-8}[/tex],9x[tex]10^{-9}[/tex])

Step-by-step explanation:

It is the largest to smallest.

Answer:

Joyce should write [tex]1,8,64,512,4096[/tex]

Step-by-step explanation:

Let's analyze the procedure of how the pictures are formed.

Her teacher said the images were created by taking a red square, dividing it into 9 smaller squares, and removing the center square.

For the first two images we can see and count that there is 1 red square in the first picture and 8 red squares in the second picture.

For the third image, there are 8 squares formed by 8 red squares each one.

The number of red squares is 8 x 8 = 64

We can write the sequence as

1 , 8 , 64 ⇒ 1 , 8 , [tex]8^{2}[/tex]

For the fourth picture we can do the same reasoning and figure out that there are 8 x 8 x 8 = 512 red squares in the fourth image.

The sequence so far is

1 , 8 , 64 , 512 ⇒ 1 , 8 , [tex]8^{2}[/tex] , [tex]8^{3}[/tex]

We can generalize the sequence and write that the sequence is :

[tex]8^{n}[/tex] with [tex]n[/tex] ∈ IN ⇒ The first five numbers will be

[tex]8^{0},8^{1},8^{2},8^{3},8^{4}[/tex] = [tex]1,8,64,512,4096[/tex]

= < > ≥ ≤ ≠

I think there’s more but those are the basics

Answer:

[tex]XZ=146[/tex]

Step-by-step explanation:

Since [tex]M[/tex] is the midpoint of segment [tex]XZ[/tex]:

[tex]XM+MZ=XZ[/tex]

[tex]XM=MZ[/tex]

Identify your known values:

[tex]XM=2x+35\\MZ=5x-22\\[/tex]

Solve for [tex]x[/tex]:

[tex]2x+35=5x-22[/tex]

Subtract [tex]35[/tex] from both sides of the equation:

[tex]2x=5x-57[/tex]

Subtract [tex]5x[/tex] from both sides of the equation:

[tex]-3x=-57[/tex]

Divide by the coefficient of [tex]x[/tex], which is [tex]-3[/tex]:

[tex]x=19[/tex]

Substitute:

[tex]XM=2(19)+35\\MZ=5(19)-22[/tex]

Solve:

[tex]XM=73\\MZ=73[/tex]

Again, we know:

[tex]XM+MZ=XZ[/tex]

Therefore:

[tex]XZ=73+73[/tex]

Solve:

[tex]XZ=146[/tex]

Answer:

I think y=1

Step-by-step explanation:

15y+9y= 24y

24y-10y=14y

divide 14y by 14 and get just y and divide 14 by 14 to get one

y=1

(Hard) A composite number n is called a Carmichael number bn−1 ≡ 1 (mod n) for every number b such ... Base case: When n = 2 the formula a + c ≡ b + d (mod m) was already given. ... The sequence goes 1, 3, 7, 15, 31,... guess that it is equal to 2n+1 − 1. ... Prove (now using induction on n) that fm|fmn for all n ≥ 1.

Answer:

That would be n[tex]\geq 1\\[/tex]

Step-by-step explanation:

Answer:

let (8,0) be (x1,y1)

(3,4) be (x2,y2)

Distance

= √[(x2-x1)² + (y2-y1)²

√[(3-8)²+(4-0)²

√(25+16)

√41

Given:

Coordinates of point A are (2,8).

Point M(-2,2) is the midpoint of AC.

To find:

The coordinates of C.

Solution:

Let the coordinates of point C are (a,b).

Formula for midpoint:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the above formula, the midpoint of A(2,8) and C(a,b) is

[tex]M=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]

[tex](-2,2)=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{2+a}{2}=-2[/tex]

[tex]2+a=-4[/tex]

[tex]a=-4-2[/tex]

[tex]a=-6[/tex]

and,

[tex]\dfrac{8+b}{2}=2[/tex]

[tex]8+b=4[/tex]

[tex]b=4-8[/tex]

[tex]b=-4[/tex]

Therefore, the coordinates of point c are (-6,-4).

Answer:

4x² - 57x + 206

Step-by-step explanation:

To evaluate (t ￮ s)(x), substitute x = s(x) into t(x) , that is

t(x - 7)

= 4(x - 7)² - (x - 7) + 3 ← expand (x - 7)² using FOIL

= 4(x² - 14x + 49) - x + 7 + 3

= 4x² - 56x + 196 - x + 10 ← collect like terms )

= 4x² - 57x + 206

Answer:

When adding integers with the same sign, the sum is equal to the sum of the absolute values of each addend and has the sign common to the addends. Both addends are positive, so the sum is positive. Both addends are negative, so the sum is negative

Step-by-step explanation:

Ammera's sweet= A

Dhabia's sweet= B

Dana's sweet= C

Ax2=B+2=C

Answer:

D. 93°, 29°, 58°

Step-by-step explanation:

In a triangle we can only have 3 Interior angles.

The sum of the Interior angles in a triangle = 180°

Adding up the given Interior angles in the above question:

A. 15°, 48°, 27°

= 15° + 48° + 27°

= 90°

90° ≠ 180°

Option A is wrong

B. 56°, 45°, 46°

= 56 ° + 45° + 46°

= 147°

147° ≠ 180°

Option B is wrong

C. 42°, 84°, 64°

= 42° + 84° + 64°

= 190°

= 190° ≠ 180°

Option C is wrong.

D. 93°, 29°, 58°

93° + 29° + 58°

= 180°

180° = 180°

Option D is the correct Option.

Therefore, the set of angle measures that could be the interior angles of a triangle is Option D. 93°, 29°, 58°

Answer:

A, D, E

Step-by-step explanation:

like with division if you multiply the same thing on both sides it is still equal

The  ratios are equivalent to 8 : 12 are A 4 : 6 , D 24 : 36 and E 56 : 84.

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 8, and b= 12,

[tex]a:b = 8 : 12\\\\ = \dfrac{8}{12} = \dfrac{2 \times 4}{2 \times 6} \\= \dfrac{2}{3} \\\\a : b = 2 : 3[/tex]

So, the  ratios are equivalent to 8 : 12

A 4 : 6

D 24 : 36

E 56 : 84

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Learn more about ratio here:

brainly.com/question/186659

#SPJ2

Answer:

1

Step-by-step explanation:

[tex]11 {x}^{2} = 1 \times 11 \times x \times x \\ 4 {a}^{3} = 1 \times 2 \times 2 \times a\times a \times a \\ common \: factor = 1 \\ \therefore \: GCF \: of \: 11 {x}^{2} \: and \: 4 {a}^{2} = 1[/tex]

Answer: X = 3

x2 = 9

x = 3

Step-by-step explanation:

All you have to do is divide!

Answer:

AB=9.49

Step-by-step explanation:

plz mark as brainliest if it helps

Answer:

6 x + 3 y = 3x+ 3(x + y)  or 3 (2 x + y)

Step-by-step explanation:

all exxpressions are equivalent

Answer: 6x + 3y & 3(x + x + y)

Step-by-step explanation:

Answer:

Don't get wrong i think its d

Step-by-step explanation:

Answer:

B) (-2,3)

Step-by-step explanation:

Graph all your points. No count the distance from point A to B. divide in half .

Answer:

p = 37

Step-by-step explanation:

divide 2 on both sides:

p = 37

Hope this helps!

Answer:

p=37

Step-by-step explanation:

74 ÷ 2 = 37

2×37 = 74

74 = 74

make me brainliest pls

Answer:

I believe it would be A

Step-by-step explanation:

A mid-point divides a line segment into 2 equal parts . Hence the line is divided in 1 : 1 ratio.

Let

x(1) = -1

y(1) = -2

x(2) = -3

y(2) = 13

So according to Section formula , cordinate of the mid - point (x' , y') =

[tex](x' , y') = ( \frac{ {x}^{1} + {x}^{2} }{2} , \frac{{y}^{1} + {y}^{2} }{2} )[/tex]

So using the formula & putting the values above

[tex]( \frac{ - 1 - 3}{2} , \frac{ - 2 + 13}{2} )[/tex]

[tex] = > ( \frac{ - 4}{2} , \frac{11}{2} )[/tex]

[tex] = > ( - 2 , 5.5)[/tex]

So the mid - point is (-2 , 5.5)

Answer:

17 lunches

Step-by-step explanation:

Answer:

25 /18  = 1 7/18 ≈ 1.389

Answer:

1.38

Step-by-step explanation:

2.5/1.8