Please give me the correct answer​

Answer:

5/2 x -3

Step-by-step explanation:

Given:

The quadratic equation is

[tex]y=6x^2-9x+22[/tex]

To find:

The correct application of the quadratic formula.

Solution:

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

We have,

[tex]y=6x^2-9x+22[/tex]

Putting [tex]y=0[/tex], we get

[tex]6x^2-9x+22=0[/tex]

Here, [tex]a=6,b=-9,c=22[/tex]. Using the quadratic formula, we get

[tex]x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}[/tex]

The correct application of the quadratic formula is [tex]x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}[/tex].

Note: The options are not in proper format.

Answer:

-3p+21≥21

Step-by-step explanation:

Answer:

D.

(x − 5.5)2 + (y − 4)2 = 12.25

Answer:

Step-by-step explanation:

making all terms have a common denominator of 12

(3(2x-3)+2(2x-5))/12=6(1)/12 now the 12s cancel out

3(2x-3)+2(2x-5)=6

6x-9+4x-10=6

10x-19=6

10x=25

x=2.5

The correct way of determining the distance between −56 and 44 is distance = |−56 − 44|

Distance is referring to the numerical measurement of how far an object is from a particular place.

Given that, what is correct way to determine the distance between -56 and 44,

So, the distance will be = |-56-44|

= |-100|

= 100

Hence the correct way of determining the distance between −56 and 44 is distance = |−56 − 44|

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Answer:

20.02

Step-by-step explanation:

Answer:

20.02

Step-by-step explanation:

Answer:

4.8 inches

Step-by-step explanation:

Answer: r = 2/7 -t

Step-by-step explanation: solve r from equation

7r = 2-7t l:7. r = 2/7 - t

The relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Consider the relationship;

7r+2t=7

Substitute r = f(t) in the equation

[tex]\rm 7r+2t=7\\\\7f(t)+2t=7\\\\ 7f(t)=7-2t\\\\f(t)=\dfrac{7-2t}{7}\\\\[/tex]

Hence, the relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].

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Complete options are;

A) Paired t-test for means

B) Paired Z-test for means

C) Z-test for proportion

D) t-test for means

E) Z-test for means

F) t-test for proportion

Answer:

B) Paired Z-test for means

Step-by-step explanation:

We are told that the distances travelled are normally distributed.

We are also trying to find out if the average distance travelled by the Titleist Pro V1 golf balls is farther than that of the Callaway Chrome Soft golf balls.

Also, the standard deviation of both cases are known.

Thus, this is where Paired Z-test for means is used.

According to the desired test, the correct option is:

a. paired t-test for means

At the null hypothesis, it is tested that ball 1 does not travel farther than ball 2, that is, the subtraction is of at most 0:

[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]

At the alternative hypothesis, it is tested if it travels farther, that is:

[tex]H_1: \mu_1 - \mu_2 > 0[/tex]

Considering the three bullet points above, the correct option is a.

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Answer:

$300

Step-by-step explanation:

If the phone has a discount of 40% that means it cost 60% of the original price

X= original price (100%)

$180  =  60% of the original price

    X   =  100%

 CROSS MULTIPLICATION

60X   =   180x100

60X =  18000

Divide both sides by 60

X  = 300

Answer:

8 cubes separated

Step-by-step explanation:

Answer:

Step-by-step explanation: x is our missing length

c^2=a^2+b^2

where c is the hypotenuse

28^2=24^2+x

x^2=28^2-24^2=784-576=208

x=[tex]\sqrt{208}[/tex]=14.4

Answer:

1882

Step-by-step explanation:

46x42=1932 1932-50=1882

Answer:

38

Step-by-step explanation:

We know that each carton contains 6 eggs and we need a total of 225. To find this answer, divide 225 by 6, which is 37.5. We would have to round up one because you cannot buy half of a carton. So the answer is 38 cartons.

Answer:

22.5 [tex]m^{2}[/tex]

Explanation:

The equation for the area of a triangle is [tex]\frac{1}{2}[/tex]bh

In this case, the base is 9 m and the height is 5 m

9x5=45

45/2= 22.5

Answer:

[tex] m \angle \: 1 = 120 \degree[/tex]

Step-by-step explanation:

Given figure is of a rhombus.

Measures of the opposite angles of a rhombus are equal.

Therefore,

[tex]m \angle \: 1 = 120 \degree[/tex]

Answer:

129.8 mmHg

42 years

Step-by-step explanation:

Given the relation :

P = 0.006 y² − 0.02 y + 121

Systolic blood pressure, P

Age, y

A.)

Find P when age y = 40

P = 0.006(40)² − 0.02(40) + 121

P = 9.6 - 0.8 + 121

P = 129.8 mmHg

B)

P = 130.74 mmHg

y =?

130.74 = 0.006y² − 0.02y + 121

130.74 - 121 = 0.006y² − 0.02y

9.74 = 0.006y² − 0.02y

0.006y² − 0.02y - 9.74 = 0

Using a quadratic equation solver :

The roots are 41.99 and - 38.66

Age cannot be negative ;

Hence age = 41.99 = 42 years

Step-by-step explanation:

Length of the plastic cube (L) = 12 cm

Volume of the cube

= L³

= ( 12)³

= 1728 cm³

Hope it will help :)❤

Answer:

20:50

20/50=40%

Answer:

$10

Step-by-step explanation:

3($2.20)+3.40

6.60+3.40=10

Answer:

I think its 6.75

Step-by-step explanation:

Answer:

3(3×2x + 0)(3x²+2)² = 18x(3x²+2)²

Answer: 2/4

Step-by-step explanation: Easy 2 + 2 = 4

Answer:

50

Step-by-step explanation:

a right triangle is = to 180 so you need all angles to add to 180 so you take 180 minus it by 90 and 40 you are left with 50 degrees