how many solutions in these two equations-
1. 5x-4y>10 ; 3x-2y 2

Answer:

a) Please find the attached scatter plot

b) Y = 0.85·X + 51.843

c) The intercept = Sarah's height at birth

The slope = Sarah's monthly growth rate

d) Sarah's height in 50 years (600 months) will be 221.198 inches

d) The generality of the population stop growing taller when they reach 216 months old

Step-by-step explanation:

a) Please find attached the scatter plot included here

b) From Microsoft Excel, we have;

N = 6

(ΣX)² = 93636

ΣX = 306

ΣY = 569

ΣXY = 29325

ΣX² = 15966

The equation for the least squares regression line is Y = b·X + a

Where;

[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]

[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]

Substituting the values, gives;

[tex]b = \dfrac{6 \times 29325- 306 \times 569}{6 \times 15966 - 93636} = 0.85[/tex]

[tex]a = \dfrac{569 - 0.85 \times 306}{6} = 51.48\bar 3[/tex]

The equation of the least squares regression line is Y = 0.85·X + 51.843

c) The intercept gives the Sarah's height at birth, while the slope gives the increase in Sarah's height every month

d) In 50 years, which is equivalent to 600 months, we will have;

Y = 0.85 × 600 + 51.843 = 561.843 cm

2.54 cm = 1 inches

Therefore;

561.843 cm = 561.843 cm/2.41 × inches/cm ≈ 221.198 inches (18.43317 feet)

Sarah's height in 50 years (600 months) = 221.198 inches

d) The reason for the impossibly large height is that the generality of the population stop growing taller by 18 years of age which is 216 months.

Answer:

D. 45

Step-by-step explanation:

All angles have to = 180°

60 + 75 + <RVE = 180°

135 + RVE = 180°

180 - 135 = 45° RVE

RVE = 45°

Another way to check your answer:

Add all of the angles, and it should equal 180°

60 + 75 + 45 = 180°

Correct!

Step-by-step explanation:

Cost = $112

30% discount coupon on the item he's going to buy

=$112 × 30/100 (or you can write 30%)

=$168/5 ($33.6)

7% tax on the item=$112 × 7/100(or you can write 7%)

= $196/25 ($7.84)

Total amount altogether=$112 - $33.6 - $7.84

=$70.56

not sure for the answer^^

Answer:

22/10

Step-by-step explanation:

Answer:

22/10

Step-by-step explanation:

this is the improper fraction

Answer:

Donald

Step-by-step explanation:

Trump

Answer:

See below

Step-by-step explanation:

[tex]\left(\dfrac{60 \text{ min}}{1 \text{ h}} \cdot \dfrac{24 \text{ h}}{1 \text{ day}} \right) = \left(\dfrac{1440 \text{ min}}{1 \text{ day}} \right)[/tex]

[tex]\therefore 2880 \text{ minutes in 2 days}[/tex]

Answer:

95.703

Step-by-step explanation:

If you could subscribe to penny_pg3d that would be great :>

Answer:

Your answer is 95.703!

Step-by-step explanation: To explain, It's easier to break apart the decimals and multiply that way step by step. I hope this helps you in future situations! Good luck on your test!

Answer:

I hope it helps it was the best I can do.

Step-by-step explanation:

-x12 + x7 = 0

Factorization:

−x7(x − 1)(x4 + x3 + x2 + x + 1) = 0

Solutions based on Jenkins–Traub algorithm:

x1 = … = x7 = 0

x8 = 1

x9 = −0.809017 − 0.587785i

x10 = −0.809017 + 0.587785i

x11 = 0.309017 − 0.951057i

x12 = 0.309017 + 0.951057i

Answer:

length=50m

width=25m

Step-by-step explanation:

perimeter is the distance all round,hence

2(l+w)=2(2x+x)=

4x+2x=6x=150

6x=150x

x=25

l=50m

w=25m

3 = 2 by z property

Step-by-step explanation:

Congruence criteria for triangles

If two sides and the angle between them in one triangle have the same measures as two sides and the angle between them in another triangle, then the triangles are congruent.

Please mark as brainliest

Answer:

The result can be shown in multiple forms.

Exact Form:

x

=

±

2

√

3

−

1

Decimal Form:

x

=

2.46410161

…

,

−

4.46410161

…

Step-by-step explanation:

Answer:

6[tex]m^{2}[/tex] + 6m -9[tex]m^{2}[/tex]

=> (6[tex]m^{2}[/tex] - 9[tex]m^{2}[/tex]) + 6m

=> -3[tex]m^{2}[/tex] + 6m

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

The answer would be $50.

Step-by-step explanation:

$5 per session

They come 10 times

$5 x 10 = $50

Answer:

see below

Step-by-step explanation:

∠1 = 61°

∠2 = 119°

∠3 = 61°

∠4 = 119°

∠5 = 119°

∠6 = 61°

∠7 = 119°

-------------------------------

∠1 = 61°   = as given

∠2 = 119° = ( 180 - 61 ) = 119°

∠3 ≅ ∠1  opposite angles are equal (congruent)

∠4 ≅ ∠2  opposite angles are equal (congruent)

∠5 ≅ ∠2 or parallel

∠6 ≅ ∠3 ≅ ∠1

∠7 ≅ ∠5

Answer: 8x⁴ - 12x³ - 176x² + 420x

Step-by-step explanation:

First multiply 4x by (x - 3) which = 4x² - 12x. Next multiply (4x² - 12x) by (x + 5) which = 4x³ + 8x² - 60x. Multilying our new trinomial with the next binomial: (4x³ + 8x² - 60x)(2x - 7) = 8x⁴ + 16x³ - 120x² - 28x³ - 56x² + 420x. Combining like terms: 8x⁴ - 12x³ - 176x² + 420x. Notice that when you reduce and factor, you will end up with the starting binomials meaning this solution is correct.

Answer: 72 buses

Step-by-step explanation:

4,826/67=72

9514 1404 393

Answer:

  4

Step-by-step explanation:

Substitute the given value for g(x) and solve the 2-step equation for x.

  g(x) = 3 + 5x

  23 = 3 +5x

  20 = 5x . . . . . . subtract 3

  4 = x . . . . . . . .  divide by 5

The value of x is 4 when g(x) is 23.

Answer:

Step-by-step explanation:

Kindly find a simple sketch of a baseball pitch, the circle with a dot inside represents the first base coach(don't mind my drawing please I will improve).      

So, from the diagram, we can see that the expression that describes the distance and the first base coach is

y=90+3

y=93

so the distance  between Roberto Clemente and the first base coach is 93ft                                  

Solution,

Given; x^3-7x^2-x+7=0

Using factor theorem,

we have,

i)x^3-7x^2-x+7=0

let's check whether 1 is the factor of given equation or not by replacing the value of x by one..

or, 1^3-7.1^2-1+7=0

or, 1-7-1+7=0(.°. Cancellation of +1&-1 and +7&-7 in equation)

.°.0=0

which proves that 1 is one of the factor of x

therefore(x-1) is a factor of x^3-7x^2-x+7=0.

Now,

Expanding the x^3-7x^2-x+7=0 to get (x-1) as a factor...

ii)x^3-7x^2-x+7=0

or,x^3-x^2-6x^2+6x-7x+7

or,x^2(x-1) - 6x(x-1) - 7(x-1) = 0

or,(x-1) (x^2-6x-7)w = 0

or,,(x-1) (x^2-(7-1)x-7) =0

or,,(x-1) (x^2-7x + x -7) =0

or,(x-1) [x(x-7)+1(x-7)] = 0

or,(x-1) (x+1) (x-7) = 0

Either,

i) x - 1=0

.°.x = 1

And,

ii)x + 1 = 0

.°. x = -1

Or,

iii) x - 7 = 0

.°.x =7

Hence, the required value of x are -1 ,+1 & 7.

[tex]10=2d[/tex]

Given:

The sum of the first three terms of a sequence Is 42.

The fourth term is 24.

To find:

The  u₁ and the common difference

Step-by-step explanation:

nth term of a sequence is

[tex]u_n=u_1+(n-1)d[/tex]

where, u₁ is first term and d is common difference.

4th term is 24.

[tex]u_4=u_1+(4-1)d[/tex]

[tex]24=u_1+3d[/tex]           ...(i)

Sum of nth term of an AP is

[tex]S_n=\dfrac{n}{2}[2u_1+(n-1)d][/tex]

Sum of first three terms is 42.

[tex]S_3=\dfrac{3}{2}[2u_1+(3-1)d][/tex]

[tex]42=\dfrac{3}{2}[2u_1+2d][/tex]

Divide both sides by 3.

[tex]14=u_1+d[/tex]          ...(ii)

On subtract (ii) from (i), we get

[tex]10=2d[/tex]

[tex]5=d[/tex]

Put d=5 in equation (ii).

[tex]14=u_1+5[/tex]

[tex]14-5=u_1[/tex]

[tex]9=u_1[/tex]

Therefore, the first term is [tex]u_1=9[/tex] and common difference is [tex]d=5[/tex] .

Answer:

36

Step-by-step explanation:

AB + BC = AC

4m - 15 + 5m - 6 = 15

m - 21 = 15

m = 36

Answer:

8. x-1=5

9. x/2=8

Step-by-step explanation:

x is the unknown number

less means subtract

quotient means divide

Answer:

last one

Step-by-step explanation:

Answer:

the answer here would be the last one

Step-by-step explanation:

cause intgetables it goes up by six on each one

Answer:

76; 20

Step-by-step explanation:

s = small room = 2

l = large room = 4

14s + 12l = 28 + 48 = 76

as I said before s = 2 and l = 4

s*s + l*l = 2*2 + 4*4 = 4 + 16 = 20

Answer:

14 small rooms and 12 large rooms: 76

"s" small rooms and "l" large rooms: 20

Step-by-step explanation:

14 small rooms and 12 large rooms:

2(14)+4(12)

28+48=

76

s small rooms and l large rooms:

2s+4l

Answer: that the people he is addressing appreciate intellectualism

Step-by-step explanation: found it on quizlet

Answer:

That the people he is addressing have researched philosophy

Step-by-step explanation:

i said so

Answer:

Step-by-step explanation:

If B is the midpoint of AC, then AB = BC  and AB+BC = AC

AB +AB = AC

2AB = AC

2(2x+12) = 10x-12

4x+24 = 10x-12

collect like terms:

4x-10x = -12-24

-6x = -36

x = -36/-6

x = 6

Get AB:

AB = 2x+12

AB = 2(6)+12

AB = 12+12

AB = 24

Since AB = BC, hence BC = 24

AC = AB+BC

AC = 24+24

AC = 48

Step-by-step explanation:

Can you put a picture or give more information?

Answer:

Step-by-step explanation:

linear (equation) Y+1.8854+7.8750 ; Coefficient: 0.9764

Quadratic: y=1.089x^2+0.7981x+9.7331 ; coefficent: 0.9918

Exponetial: y=9.4348 x 1.1180 ; coeffient"0.9920

Exponential is the best model