12x + 70 ≥ 10x + 80?

Answer:

Step-by-step explanation:

The nth term:  [tex]a_n=a_1+d(n-1)[/tex]

So:

    a₄ = a₁ + 3d

18 =  a₁ + 3d   ⇒   3d =  18 - a₁

    a₇ = a₁ + 6d

39 = a₁ + 6d

39 = a₁ + 2(18 - a₁)

39 = a₁ + 36 - 2a₁

39 = 36 - a₁

a₁ = -3

3d = 18 - (-3)

3d = 21

d = 7

So the nth term:

                            [tex]a_n = -3 + 7(n-1)\\\\a_n=-3 +7n - 7\\\\a_n = 7n - 10[/tex]

Answer:

40°, 140°, and 140°

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

28 = 2*2*7

48 = 2*2*2*2*3

72= 2*2*2*3*3

So the HCF = 2*2 = 4.

Answer:

hcf stand's for

highest common factor

and must be prime numbers

so the answers 3

Answer:

True

Step-by-step explanation:

[tex]11^2=121\\12^2=144\\121<131<144[/tex]

Hence, [tex]\sqrt{131}[/tex] is in between 11 and 12

Answer:

Simplified : -4y^(2)-y-11

Step-by-step explanation:

My bad if its wrong hope this helps tho

Given:

The given function is:

[tex]y=-32x^2+90x+3[/tex]

To find:

The range of the given function.

Solution:

We have,

[tex]y=-32x^2+90x+3[/tex]

It is a quadratic function because the highest power of the variable x is 2.

Here, the leading coefficient is -32 which is negative. So, the graph of the given function is a downward parabola.

If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then the vertex of the quadratic function is:

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

In the given function, [tex]a=-32,b=90,c=3[/tex].

[tex]\dfrac{-b}{2a}=\dfrac{-90}{2(-32)}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{-90}{-64}[/tex]

[tex]\dfrac{-b}{2a}=\dfrac{45}{32}[/tex]

The value of the given function at [tex]x=\dfrac{45}{32}[/tex] is:

[tex]y=-32(\dfrac{45}{32})^2+90(\dfrac{45}{32})+3[/tex]

[tex]y=\dfrac{2121}{32}[/tex]

The vertex of the given downward parabola is [tex]\left(\dfrac{45}{32},\dfrac{2121}{32}\right)[/tex]. It means the maximum value of the function is [tex]y=\dfrac{2121}{32}[/tex]. So,

[tex]Range=\left\{y|y\leq \dfrac{2121}{32}\right\}[/tex]

[tex]Range=\left(-\infty, \dfrac{2121}{32}\right ][/tex]

Therefore, the range of the given function is [tex]\left (-\infty, \dfrac{2121}{32}\right ][/tex].

Answer:

[tex]m\angle ABC=60\textdegree[/tex]

Step-by-step explanation:

[tex]m\angle ABC=360-90-90-m\angle AOC\\=180-120\\=60\textdegree[/tex]

Answer:

mike did i think im super sooooo sorry if im wrong

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

A=pi x r^2

A= 3.14 x 5 x 5

A=78.5

Answer:

Option A) 7 inches

Step-by-step explanation:

t=0

so d= -0.5(0)+7

so d= 7 inches

hope it helps

have a great day!!

Answer:

Step-by-step explanation:

Answer:

m=1 or m=-3

Step-by-step explanation:

when m=1,

(1+1)sq+1=5

4+1=5

5=5

True statement

when m=-3,

(-3+1)sq+1=5

(2)sq+1=5

4+1=5

5=5

True statement

Answer:

A=90

B=18

C=111

D=39

E=35

Step-by-step explanation:

Answer:

1/20

Step-by-step explanation:

Simple probability is found by counting all the results which fit requirements and dividing by all possible results.

To find probability of two results in a row, multiply chance of first result by chance of second result.

Since you are replacing the marble before the second draw, we don’t have to figure out the various changes in odds for the different possible first draws. It’s just that simple.

There are 5 black marbles

There are 4 red marbles

There are always 20 marbles in all

5/20*4/20=1/4*1/5=1/20

By coincidence, the same as the chance of drawing the white marble in one draw.

Answer:

467 percent

Step-by-step explanation:

Answer:

366.67% increase

Step-by-step explanation:

Answer:

Since the games in total add up to 8, we see that 8 is a factor of 24. It goes in 3 times. Therefore, we have to multiply everything by 3 to get the answer out of 24. There will be 6 wins, 15 losses and 3 tie. That adds up to 24.

Answer:

So the final answers would be (90 > z)-P(80<z) = .47725 or 47.725%

Step-by-step explanation:

Answer:

3 is the answer bc it make more sense

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:92.4

Step-by-step explanation:

4x+7x=132

10x=132

x=132/10

x=13.2

4x=4×13.2

=52.8

5x=7×13.2

=92.4

Answer:

17,2

Step-by-step explanation:

X = 21×cos35° = 21 × 0,82 = 17,20

Answer:

-2

Step-by-step explanation:

Answer:

$46.25 ÷ $9

Step-by-step explanation:

Answer:

X = 45

Step-by-step explanation:

a^2 + b^2 = c^2

60^2 + a^2 = 75^2

3,600 + a^2 = 5,625

- 3,600            - 3,600

____________________

    a^2= 2025

square root them

a^2 = a

2025 = 45

so x =45

Answer:

y = 2x + 24

Step-by-step explanation:

Slope-intercept form equation => y = mx + b

m = slope = change in y / change in x

b = y-intercept

✔️using two pairs of values form the table, (-6, 12) and (-5, 14):

Slope (m) = (14 - 12)/(-5 -(-6))

m = 2/1

m = 2

✔️To find b, substitute (x, y) = (-6, 12) and m = 2 into y = mx + b.

12 = 2(-6) + b

12 = -12 + b

12 + 12 = b

24 = b

b = 24

✔️To write the equation, substitute m = 2 and b = 24 into y = mx + b:

y = 2x + 24

Answer:

5

Step-by-step explanation:

it would be 5. x is 5 so if it is wrong sorry its best e a while since i done that kind of math

Answer:

4xy are binomials because it only had one term

Answer:

the answers are B, C, E

Step-by-step explanation:

x2y – 3x

6y2 – y

4xy –  two-fifths