Which inequality is graphed on the number line?

Number line from 0 to 10. Start at 0. Count up by 1. Point t is depicted by an arrow from 6 to 0
A. t > 9
B. t < 0
C. t < 6
D. t > 6

Answer:

  x = 9/4

Step-by-step explanation:

Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.

  AB/BC = CG/GE

  x/1 = 9/4

  x = 9/4

_____

Additional comment

Using the given triangles, you can write the proportion statement as ...

  (9+x)/x = 5/1

We judge this to take more steps to solve, so we prefer the method shown above.

Answer:

10 eggs for 40 dozens

Step-by-step explanation:

40÷8=5

5*2=10

Our created proportion is 8:2::40:x

Therefore, for 40 dozen cookies, 10 eggs are required.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

[tex]\huge\boxed{\sf x = 26}[/tex]

Step-by-step explanation:

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

x=26

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

Hope this helped!

Answer:

me too

Step-by-step explanation:

Answer:

(- 1, 1 )

Step-by-step explanation:

5x - 15y = - 20 → (1)

5x - 4y = - 9 → (2)

Multiplying (2) by - 1 and adding to (1) will eliminate the x- term

- 5x + 4y = 9 → (3)

Add (1) and (3) term by term to eliminate x

0 - 11y = - 11

- 11y = - 11 ( divide both sides by - 11 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

5x - 15(1) = - 20

5x - 15 = - 20 ( add 15 to both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

solution is (- 1, 1 )

Answer:

3.636 hour. dividing 200miles /55m/h =3.636h

Answer:

3 hours 38 minutes is what calculators online say

Step-by-step explanation:

You should put both answers that were given to you. The answer on top seemed to do it the mathematical way youre suppose to. Maybe the teacher will take both answers i don’t know

Answer:

2/3 - (-2/3)

=0.66 - (-0.66)

=0.66+0.66

= 1.32

Answer:

Yes

Domain: 1, -1, 0, -3, 3

Range: 1, -1, 6

Step-by-step explanation:

The domain is in the left oval, the range is in the right oval. To find if its a function you have to make sure the domain (left side) doesn't "cheat". One number in the domain cant have more than one number in the range (right side), BUT (for future reference) the range can cheat. As shown, the right side numbers 1 and 6 have two different arrow pointed at them. As long as the domain doesnt "cheat" it is a function

Answer:

85 because if you do the math

Answer:

  4 mi/h

Step-by-step explanation:

The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.

Their speed is (8 mi)/(2 h) = 4 mi/h.

_____

Additional comment

Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...

  c² = a² +b² . . . square of hypotenuse is sum of squares of legs

  c² = 1² +1² . . . . both legs are 1 in our example triangle

  c² = 2

  c = √2

That is, the hypotenuse is √2 times the leg length.

Answer:

it is c

Step-by-step explanation:

Answer:

D. –5.2 + (–6.4) = –11.6

Step-by-step explanation:

First, you can eliminate A and C because 5.2 is positive. Since the red arrow is pointing left, it indicates that the number (-5.2) is negative.

Then, you look at the second arrow, the green one. It is pointing left, so it would be -6.4.

I hope this helps :)

Answer:

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

»ANSWER«

(1) Write properties of function:

x intercept/zero:

[tex] x_{1} = \frac{3}{4} [/tex]

y intercept:

[tex]y = - 12[/tex]

domain:

[tex]( - \infty \: \infty )[/tex]

type of function: cubic fraction

standard form:

[tex]f(x) = 4 {x}^{3} - 3 {x}^{2} + 16x - 12[/tex]

factorize form:

[tex]f(x) = (4x - 3)( {x}^{2} + 4)[/tex]

even/odd/neither: neither

bounce/cross x axis:

[tex]x = \frac{3}{4} \: across[/tex]

increasing interval:

[tex]( - \infty \: \infty )[/tex]

decreasing interval: no

number of positive real zeros: 1

number of possible turning point: 2

order/degree: 3

leading term:

[tex]4x ^{3} [/tex]

leading coefficent: 4

constant term: -12

end behavior:

[tex]as \: x \: → \infty f(x) → \infty \: as \: x → - \infty f(x) → - \infty [/tex]

#CarryOnLearning

4.475 or 4 19/40 gallons

How?

12.65=253/20

253/20= 12 13/20

////////

I need a similar denominator of 12 13/20 and 17 1/8.

12 13/20×2/1= 12 26/40

17 1/8×5= 17 5/40

17 5/40-12 26/40= 4 19/40

Therefore,

the answer is 4 18/40 gals

Answer:

4 19/20                      

Step-by-step explanation:

17 1/8 - 12 13/20 = 4 19/20

Answer:

[tex]80. \bar{75}[/tex]

ok done. Thank to me :>

Answer:

( x + 1 ) ^ 3

Step-by-step explanation:

f(x) = 3√x - 1

replace x with y

x = 3√y - 1

solve for y,

x = 3√y - 1

x^3 + 3x^2 + 3x + 1 = (x+1)^3

HOPE THIS HELPS :)

Step-by-step explanation:

yes because If you divide 120 by 9 you get 13.333 so technically speaking she is correct

Answer:

neither

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 9 ← is in slope- intercept form

with slope m = 2

y = [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

2 ≠ [tex]\frac{1}{2}[/tex] , then lines are not parallel

2 × [tex]\frac{1}{2}[/tex] = 1 ≠ - 1, then lines are not perpendicular

Answer:

Your calculation is correct, but I'd answer 33.0 in.

Step-by-step explanation:

You are correct. Good job.

Answer:

I'm 96% sure its right, and those are pretty good odds ^^

The 2 sides of the equation are not equal; hence, I cannot prove them to be true.

Answers:

A = 3

B = -7

C = 3

D = -7

======================================================

Explanation:

You could use the AC method to factor, but I think the method described below is a more efficient way of factoring.

Set the given expression equal to zero and solve for x using the quadratic formula. So the goal is to find the roots for [tex]9x^2-42x+49=0[/tex]

We'll plug in a = 9, b = -42, and c = 49.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-42)\pm\sqrt{(-42)^2-4(9)(49)}}{2(9)}\\\\x = \frac{42\pm\sqrt{0}}{18}\\\\x = \frac{42+0}{18}\\\\x = \frac{42}{18}\\\\x = \frac{7}{3}\\\\[/tex]

Because the root is x = 7/3, it leads to the factor 3x-7 = 0

Note that we go from x = 7/3 to 3x = 7 after multiplying both sides by 3. Then we subtract 7 from both sides.

It turns out that we have two copies of the identical factor (3x-7) because x = 7/3 is a double root.

So in reality we have the factorization (3x-7)(3x-7) which we can shorten into (3x-7)^2 if we wanted.

Use the box method or FOIL method to expand (3x-7)(3x-7) and you should get 9x^2-21x-21x+49 which simplifies to 9x^2-42x+49. This confirms we have the correct factorization.

Therefore, A and C are both 3, while B and D are both -7.

Answer:

Red: y=4

Green: x=-1

Yellow: x=6

Blue: x=-2

Step-by-step explanation:

The lines are all passing through the Axis, so there is no slope for each line.

Answer:

h = - 103/8

Step-by-step explanation:

1) Re-order terms so constants are on the left

8h = = -2(8)²+4(8)-7

2) Evaluate the exponent

8h = -2·64+4(8)-7

3) Multiply the numbers

8h = -128+4(8)-7

4) Multiply the numbers

8h = -128+32-7

5) Add the numbers

8h = -103

6) Divide both sides of the equation by the same term

8h/8 = -103/8

7) Simplify

- Cancel terms that are in both the numerator and denominator

h = -103/8

Answer:

(i) In △ABD and △ACD,

AB=AC ....(since △ABC is isosceles)

AD=AD ....(common side)

BD=DC ....(since △BDC is isosceles)

ΔABD≅ΔACD .....SSS test of congruence,

∴∠BAD=∠CAD i.e. ∠BAP=∠PAC .....[c.a.c.t]......(i)

(ii) In △ABP and △ACP,

AB=AC ...(since △ABC is isosceles)

AP=AP ...(common side)

∠BAP=∠PAC ....from (i)

△ABP≅△ACP .... SAS test of congruence

∴BP=PC ...[c.s.c.t].....(ii)

∠APB=∠APC ....c.a.c.t.

(iii) Since △ABD≅△ACD

∠BAD=∠CAD ....from (i)

So, AD bisects ∠A

i.e. AP bisects∠A.....(iii)

In △BDP and △CDP,

DP=DP ...common side

BP=PC ...from (ii)

BD=CD ...(since △BDC is isosceles)

△BDP≅△CDP ....SSS test of congruence

∴∠BDP=∠CDP ....c.a.c.t.

∴ DP bisects∠D

So, AP bisects ∠D ....(iv)

From (iii) and (iv),

AP bisects ∠A as well as ∠D.

(iv) We know that

∠APB+∠APC=180

∘

....(angles in linear pair)

Also, ∠APB=∠APC ...from (ii)

∴∠APB=∠APC=

2

180

∘

=90

∘

BP=PC and ∠APB=∠APC=90

∘

Hence, AP is perpendicular bisector of

Step-by-step explanation:

HOPE ITS HELP YOU

Answer: b

Step-by-step explanation:

Answer: It's yes and (D) SSS because all the angles are side side side and all have the same angles but one's smaller while the other is bigger but that doesn't change anything. :)

Step-by-step explanation: