4.289 rounded to the nearest tenth

Answer:

(-12, -2)

Step-by-step explanation:

Rearrange the equation --> x^2 + 14x + 24 = 0

Split 14x into 12x + 2x --> x^2 + 12x + 2x + 24 = 0

Group --> x(x + 12) + 2(x + 12) = 0, (x + 12)(x + 2) = 0

Find roots:

x + 12 = 0, x = -12

x + 2 = 0, x = -2

The solution of the given expression [tex]\rm x^{2} +14x = -24\\[/tex] by completing the square method is 12 and  -2.

The given expression is

[tex]\rm x^{2} +14x = -24\\[/tex]

In completing the square, we take half of the coefficient of the middle term and then square it. Then we add it to both sides of the equation

Here coefficient of middle term x is +14.

So, 14/2 = 7

square of 7 is 49

[tex]\rm x^{2} +14x +49= -24+49\\\rm (x+7) (x+7)=25\\\rm (x+7)^{2} =5^{2} \\\rm x+7 =5[/tex]

x+7 = 5 and x+7 = -5

Solve for x by subtracting 7 on both sides

x = -2  and x= -12

Solution set is {-12, -2}

Learn more about completing the square;

https://brainly.com/question/4822356

Answer:graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}

Step-by-step explanation:

y

=

−

19

9

(

x

+

3

)

2

+

5

Explanation:

If an equation representing a parabola is in vertex form such as

y

=

a

(

x

−

k

)

2

+

h

then its vertex will be at

(

k

,

h

)

. Therefore the equation for a parabola with a vertex at (-3, 5), will have the general form

y

=

a

(

x

+

3

)

2

+

5

If this parabola also passes through the point

(

0

,

−

14

)

then we can determine the

a

parameter.

−

14

=

a

(

0

+

3

)

2

+

5

9

a

=

−

19

a

=

−

19

9

So our equation in vertex form is

y

=

−

19

9

(

x

+

3

)

2

+

5

graph{-19/9(x+3)^2+5 [-10, 2, -20, 10]}

Answer:

32 cm^3

Step-by-step explanation:

Hope it will help you

Answer:

32 cm^3

Step-by-step explanation:

V = L x W x H

V = 2 x 2 x 8

V = 4 x 8

V = 32

The answer would be 32cm^3

I hope it helps! Have a great day!

Your Murderer~

Answer:

Option A

Step-by-step explanation:

To simplify this fraction:

We subtract the powers:

[tex]\frac{6^{3} }{6^{6} } = 6^{3-6}[/tex]

[tex]6^{-3}[/tex] = [tex]\frac{1}{6^{3} }[/tex] = 1/216

These answers I wrote in the last line are options B,C and D.

Therefore Option A is not equivalent.

Answer:

See below ↓

Step-by-step explanation:

The relation is :

Title : Variation of Motor Speed with Applied Voltage

x-axis label : Voltage (volt)

y-axis label : Motor speed (rpm)

As it constantly varies with a value of x and they are not isolated data points, they should be connected with a line.

Answer:

are we looking for x if we are its

Step-by-step explanation:

x= -3/k

Answer:

 x = -3/k

Step-by-step explanation:

Solve kx+7=4 for x

kx+7=4

kx =4 - 7

kx = -3

Answer:

D) blue

Step-by-step explanation:

because the first ball has to be blue

the second ball is green

the third is red

and the fourth one is yellow

so u multiply 1(blue ball)× 2021=blue ball

Answer:

C. 12 feet

Step-by-step explanation:

If a rectangle measures 1 foot by 5 feet, that means that one side is 1 foot and one side is 5 feet. Since a rectangle has two sets of parallel sides, the other sides of the rectangle will also measure 1 foot by 5 feet.

Adding all of the side lengths will give us the perimeter.

1 + 5 + 1 + 5 = 12

hope this helps :)

subtraction/algebraic subtraction

What you have looks right, the reason for step 7 should just be algebraic subtraction since there is a DG on both sides that can be simplified out of the equation

I’m not sure what exact answer your question will allow, but it’ll be something along the lines of subtraction

A dodecagon is a twelve-sided polygon that's equally spaced around a circle and with all sides, the same length.

Answer:

a=27%

Step-by-step explanation:

-lukelaws

tell me if it helped

Answer:

A

Step-by-step explanation:

Equals 27 percent

I took the test and go it right

Answer: The unit rate is 1/3

Step-by-step explanation:

The slope of the line, which also represents the unit rate, is 1/3.

Answer:

x = 5, x = 7

Step-by-step explanation:

to find the zeros let f(x) = 0 , that is

x² - 12x + 35 = 0 ( subtract 35 from both sides )

x² - 12x = - 35

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 35 + 36

(x - 6)² = 1 ( take the square root of both sides )

x - 6 = ± [tex]\sqrt{1}[/tex] = ± 1 ( add 6 to both sides )

x = 6 ± 1

then

x = 6 - 1 = 5

x = 6 + 1 = 7

Answer:

a) 240 grams

b) 360 grams

c) 2 packs

Step-by-step explanation:

a) 1 biscuit = 4 grams of flour

60 biscuits = 240 grams of flour

Conclusion, 240 grams of flour is needed for 60 biscuits.

b) 240×3÷2 = 360 grams of butter

c) 360÷250

= 1.44

≈ 2 packs

Hope this helps =)

Answer:

Step-by-step explanation:

t1 means a1 and t7 means a7

a+(n-1)d=an

a+(1-1)d=4

so we get a as 4

a=4

a+(n-1)d=an

4+(7-1)d=22

4+6d=22

6d=22-4

d=18/6

d=3

Answer:

no

Step-by-step explanation:

no

Yes

since the hypotenuese will be forty

24×24=576

32×32=1024

1024+576=1600

√40=1600 which makes YES be the correct answer

Answer:

D

Step-by-step explanation:

[tex]\frac{x+2}{3}[/tex] = [tex]\frac{2x-4}{2}[/tex] ( cross- multiply )

3(2x - 4) = 2(x + 2) ← distribute parenthesis on both sides

6x - 12 = 2x + 4 ( subtract 2x from both sides )

4x - 12 = 4 ( add 12 to both sides )

4x = 16 ( divide both sides by 4 )

x = 4

[tex] \longrightarrow \frac{x + 2}{3} = \frac{2x - 4}{2} [/tex]

In this question we have to find the value of x .

[tex]\longrightarrow \frac{x + 2}{3} = \frac{2x - 4}{2} [/tex]

So , by cross multiplying :

[tex] \longrightarrow \: 2(x + 2) = 3(2x - 4)[/tex]

Now , calculation left hand side as well as right hand side :

[tex]\longrightarrow \: 2x + 4 = 6x - 12[/tex]

Now , transposing 6x to left hand side and 4 to right hand side :

[tex]\longrightarrow \: 2x - 6x = - 12 - 4[/tex]

Now , solving left hand side and right hand side :

[tex]\longrightarrow \: - 4x = - 16[/tex]

As negative sign is present on both the side , so it will cancel out :

[tex]\longrightarrow \: \cancel - 4x = \cancel- 16[/tex]

Now we have :

[tex]\longrightarrow \: 4x = 16[/tex]

Now we are transposing 4 to right side and it will change into division from multiplication :

[tex]\longrightarrow \: x = \cancel \frac{16}{4} [/tex]

So we get :

[tex]\longrightarrow \: \green{ \boxed{ \bold x = 4}}[/tex]

We are verifying our answer by putting value of x in given question :

[tex]\longrightarrow \frac{4 + 2}{3} = \frac{2(4) - 4}{2} \: [/tex]

Solving ,

[tex]\longrightarrow \: \frac{6}{3} = \frac{8 - 4}{2} [/tex]

Now subtracting 8 and 4 :

[tex]\longrightarrow \: \frac{6}{3} = \frac{4}{2} [/tex]

Now , dividing 6 by 3 and 4 by 2 :

[tex]\longrightarrow \cancel{\frac{6}{3} } = \cancel{\frac{4}{2} }[/tex]

We get :

[tex]\longrightarrow \: \bold{2 = 2}[/tex]

That means ,

[tex]\longrightarrow L.H.S = R.H.S[/tex]

Answer:

6.9

Step-by-step explanation:

I took the USATP hope it helps

Answer:

5

Step-by-step explanation:

x=1/5y

Answer:

acute

Step-by-step explanation:

Check using the Pythagorean Theorem:

A^2 + B^2 ≟ C^2

9^2 + 115 ≟ 11^2

196 > 121,

so this triangle is acute because the sum of each leg squared is longer than the length of the hypotenuse squared.

Answer:

A. 56 in3

Step-by-step explanation:

Formula for Volume; LWH

L * W * H = 4* 4 * 2

16 * 2 = 32(3)

(second half of the container)

LWH = 3 * 4 * 2

12 * 2 = 24(3)

32 + 24 = 56(3)

Break into two cuboids

In cuboid

Hence

#1

Volume:-

#2

Volume:-

Total:

Answer:

c. 11

Step-by-step explanation:

Bottom row: 6 cubes

middle row: 4 cubes

top row: 1 cube

11 cubes total.

Answer:

£177.92

Step-by-step explanation:

To increase something by 28% would be to multiply the original value by 1.28:

So to increase £139 by 28%, we do:

£139 × 1.28 = £177.92

So this is our final answer

[tex]\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\\ [1-sin^2(x)]csc(x)~~ = ~~cos(x)cot(x) \\\\[-0.35em] ~\dotfill\\\\\ [1-sin^2(x)]csc(x)\implies cos^2(x)csc(x)\implies cos^2(x)\cdot \cfrac{1}{sin(x)} \\\\\\ cos(x)\cdot \cfrac{cos(x)}{sin(x)}\implies cos(x)cot(x)[/tex]

Ratios are written as fractions or in the form a:b.  The  pump should be programmed to deliver 133mL/hr

Ratios are written as fractions or in the form a:b.

According to the question, An IV piggyback (IVPB) of 10,000 units/100 mL is to be given over 45 minutes.

We are to determine the number of mL to be given in 60 minutes (1 hr)

100mL = 45 minutes

x mL = 60 minutes

Take the ratio

100/x = 45/60

Cross multiply

45x = 6000

x = 6000/45
x = 133mL/hr

Hence the  pump should be programmed to deliver 133mL/hr

Learn more on ratio and proportion here: https://brainly.com/question/2914376