Which of the following statements is true
regarding the solutions to the quadratic
equation 5x2 + 6x + 2 = 0?

Answer:

[tex] \huge \orange { \boxed{x = \frac{c - k}{12} }}[/tex]

Step-by-step explanation:

12x + k = c

Step 1: transfer k on right side

12x = c - k

Step 2: Divide both side by 12

[tex] \frac{12x}{12} = \frac{c - k}{12} \\ \huge \red{ \boxed{x = \frac{c - k}{12} }}[/tex]

Answer:

(-3,1) becomes (1,-1)

(-4,7) becomes (0,5)

(-6,3) becomes (-2,1)

(-9,8) becomes (-5,6)

Step-by-step explanation:

just move every point 4 to the right and 2 down. once you plot the new points draw and connect

Answer:

[tex]x=48[/tex]

Step-by-step explanation:

[tex]\displaystyle{\frac{8(6-x)}{7}={-x}}[/tex]

Multiply both sides by 7:

[tex]\displaystyle{8(6-x)=-7x}[/tex]

Distribute the left side:

[tex]\displaystyle{48-8x=-7x}[/tex]

Add 8x to both sides:

[tex]48=x[/tex]

Answer:

a) (x, y) = (1, 7)

Step-by-step explanation:

Let be the following system of inequalties:

[tex]y > x^{2}-4\cdot x -5[/tex]

[tex]y < -x^{2}-5\cdot x +6[/tex]

We can find the right option by evaluating each option in the system of inequalities:

a) (x, y) = (1, 7)

[tex]7 > 1^{2}-4\cdot (1) -5[/tex]

[tex]7 < -1^{2}-5\cdot (1) +6[/tex]

Then,

[tex]7>-8[/tex] (TRUE)

[tex]7<0[/tex] (FALSE)

(1, 7) is not a solution of the system of inequalities.

b) (x, y) = (1, -7)

[tex]-7 > 1^{2}-4\cdot (1) -5[/tex]

[tex]-7 < -1^{2}-5\cdot (1) +6[/tex]

Then,

[tex]-7 > - 8[/tex] (TRUE)

[tex]-7< 0[/tex] (TRUE)

(1, -7) is a solution of the system of inequalities.

c) (x, y) = (1, -5)

[tex]-5 > 1^{2}-4\cdot (1) -5[/tex]

[tex]-5 < -1^{2}-5\cdot (1) +6[/tex]

Then,

[tex]-5 > - 8[/tex] (TRUE)

[tex]-5< 0[/tex] (TRUE)

(1, -5) is a solution of the system of inequalities.

d) (x, y) = (-1, 6)

[tex]6 > (-1)^{2}-4\cdot (-1) -5[/tex]

[tex]6 <(-1)^{2}-5\cdot (-1)+6[/tex]

Then,

[tex]6>0[/tex] (TRUE)

[tex]6 < 12[/tex] (TRUE)

(-1, 6) is a solution of the system of inequalties.

Therefore, we conclude that correct answer is A.

Answer:

Its Not (1,7) i took the test and missed it

Step-by-step explanation:

Answer:

11y-2x= -90

Step-by-step explanation:

for the point (1,-8)

x=1 and y= -8

for the equation,

2x -4y= -11

x= -1/m

m= -1/x

x = -1/ (-11/2 )

m= 2/11

so for the equation,

y-y1= m(x- x1)

y- -8=2/11(x-1)

11(y+8)= 2(x-1)

11y +88= 2x-2

11y-2x= -90

Answer:

3 to 4 hours

Step-by-step explanation:

There are different sizes trucks that are used for transportation of boxes. The time to unload a truck depends on its size and the weight of boxes. If the boxes are heavy then it will require more time to unload a truck. Steven has 24" truck with boxes which contain video consoles. The video consoles are not really heavy and the boxes are easy to lift. Steven will be required  to 4 hours to unload the truck.

I dont really know how to give an explanation in detail but the answer is 32.40

5400 x .06 x 1

(turn the percent into a decimal)

The interest should be paid for 1 year is $324.

The formula for Simple Interest

SI = ( PRT)/100

where, P- Principal

R- Rate

T- Time

Given:

P = $5400

R= 6%

T= 1 year

So, Simple Interest

= PRT/100

= 5400 x 6 x 1 /100

= $324

Hence, the interest should be paid for 1 year is $324.

Learn more about Simple Interest here:

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Answer: 8

Step-by-step explanation:

Ok, el volumen de un cubo de lado L es:

V = L^3

Entonces, el volumen de un cubo de 1cm por lado es:

V = (1cm)^3 = 1cm^3

Y el volumen de cubo cuyos lados miden 2cm es:

V' = (2cm)^3 = 8cm^3.

Ahora, la cantidad de cubos chicos que van a entrar en el cubo grande es igual al cociente entre sus volúmenes:

V'/V  = (8cm^3)/(1cm^3) = 8

Entran 8 cubos de 1 cm por lado en un cubo de 2cm por lado.

Answer:

0.140 is represented using 40 thousandth blocks and 100 hundredth blocks

Step-by-step explanation:

Base 10 blocks are blocks in set of four which can be used together to represent any number. Also base 10 blocks can be used to perform mathematical computations like addition, subtraction, addition, division, area and many more.

We have to represent 0.140 using hundredths and thousandths blocks.

0.140 = 140 × 10⁻³ = 40 × 10⁻³ + 100 × 10⁻²

10⁻³ represents the thousandth block and 10⁻² for the hundredth. Hence:

0.140 = 140 × 10⁻³ = 40 × 10⁻³ + 100 × 10⁻²  = 40 thousandth + 100 hundredth

0.140 is represented using 40 thousandth blocks and 100 hundredth blocks

Answer:

Look at the step by step

Step-by-step explanation:

3 cans of soup: 1500 mg of sodium

4 frozen dinners: 2600 mg of sodium

together they are 4100 mg of sodium

How many milligrams of sodium are there in  c cans of soup: [tex]500c[/tex]

How many milligrams of sodium are there in  f frozen dinners: [tex]650f[/tex]

There is 4100 mg of sodium together in 3 cans and 4 frozen dinner. 500c milligrams of sodium is there in  c cans of soup and 650f milligrams of sodium is there in f frozen dinners

An expression is combination of variables, numbers and operators.

Each can of soup has 500 mg of sodium and

each frozen dinner has 650 mg of sodium

1 can =500mg

frozen dinner = 650 mg

3 cans=3(500)=1500 mg

4 frozen dinner = 4(650) mg=2600 mg

Together there is 1500+2600= 4100 mg of sodium

500c milligrams of sodium is there in  c cans of soup

650f milligrams of sodium is there in  f frozen dinners

Hence, there is 4100 mg of sodium together in 3 cans and 4 frozen dinner. 500c milligrams of sodium is there in  c cans of soup and 650f milligrams of sodium is there in f frozen dinners

To learn more on Expressions click:

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Answer:

($) 60 is the profit per item when the selling price is reduced by 20%

Step-by-step explanation: 20% of 700 is 140.

The original profit is 700 - 500 = 200. The selling price is 140 less, Subtract 140 from 200. That leaves a profit of 60. (Not necessarily dollars, as the currency was not given in the question.)

Answer:

4/8thes

Step-by-step explanation:

Answer:

one

Step-by-step explanation:

Step-by-step explanation:

since there are five digit after1 so the power is 5 and the is the number 2 which is multiplied to each and after that the number 0is there which makes 4 number left and so on until the power is zero

Answer:

g/c = x

Step-by-step explanation:

g= xc

/ c

g/c = x

isolate x by dividing out c

Answer:

A. Multiply the coefficients, Add the exponents

Step-by-step explanation:

To multiply monomials, multiply the coefficients, and add the exponents of the same variable.

Answer: A. Multiply the coefficients, Add the exponents

Answer:

a- multiply the coefficients, add the exponets.

Step-by-step explanation:

i already did it!

Answer:

The pitcher plant's approximate volume is 24.492 [tex]\text{cm}^{3}[/tex].

Step-by-step explanation:

We are given that a  pitcher is shaped like a cylinder with a radius of 1 centimeter and a height of 7.8 cm.

Let the radius of a cylinder = r = 1 cm

and the height of a cylinder = h = 7.8 cm

As we know that the volume of a cylinder is given by;

The volume of a cylinder = [tex]\pi r^{2}h[/tex]

                           = [tex]3.14 \times 1^{2} \times 7.8[/tex]  {taking approximate value of [tex]\pi[/tex] to be 3.14}

                           = [tex]3.14 \times 7.8[/tex]

                           = 24.492 [tex]\text{cm}^{3}[/tex]

Hence, this pitcher plant's approximate volume is 24.492 [tex]\text{cm}^{3}[/tex].

Answer:

Answer: The question is a multiple choice so it's A and C:

Answer:

He used an incorrect time ratio converting hours to minutes.

He incorrectly concluded that she is not running fast enough.

Answer:

[tex]{}[/tex]                                                                                                    XY                [tex]\overline {XY}[/tex]

Represent a distance [tex]{}[/tex]                                                                 √

Represent a segment [tex]{}[/tex]                                                                                     √

Represent a numerical value [tex]{}[/tex]                                                     √

Represent a geometric figure                                                                           √

Can be found by applying the ruler postulate  [tex]{}[/tex]                         √

Can be be duplicated with a compass and a straight edge                          √

Step-by-step explanation:

The difference between XY and [tex]\overline {XY}[/tex] are that the points XY represents the distance between two points having a numerical value whose value can be found by using a ruler to find difference in the numbers on the ruler that coincides with the points, while

Answer:

________________

I think it may be 31%

Answer:

50%

Step-by-step explanation:

There are a total of 640 fries.

40% of them are crispy. Therefore, let C be the amount of crispy fries:

[tex]C=0.4(640)=256[/tex]

Thus, the amount of soggy fries S would be:

[tex]S=640-256=384[/tex]

The total of the crispy fries and the soggy fries is the sum of the fries not on the floor and on the floor. Let F denote on the floor and let NF denote not on the floor. Thus:

[tex]C=C_F+C_{NF}[/tex]

C is 256:

[tex]256=C_F+C_{NF}[/tex]

Same thing for soggy fries S:

[tex]S=S_F+S_{NF}\\[/tex]

S is 384, thus:

[tex]384=S_F+S_{NF}[/tex]

We are told that 80% of the soggy fries are on the floor. Therefore:

[tex]S_F=0.8(384)=307.2[/tex]

This means that the amount of soggy fries not on the floor is:

[tex]S_{NF}=S-S_F\\S_{NF}=384-307.2=76.8[/tex]

We are given that 32% of all the fries are not on the floor. Therefore:

[tex]NF=0.32(640)=204.8[/tex]

The total amount of fries not on the floor is the sum of the amount of crispy fries and soggy fries not on the floor. Thus:

[tex]NF=C_{NF}+S_{NF}[/tex]

We know that NF is 204.8 and that S(NF) is 76.8. Substitute:

[tex]204.8=C_{NF}+76.8[/tex]

Subtract 76.8 from both sides:

[tex]C_{NF}=128[/tex]

This means that out of the 256 crispy fries, only 128 of them are not on the floor.

This means that the amount on the floor is 256-128, or also 128.

Thus, the percentage of crispy fries on the floor is:

[tex]=\frac{128}{256}=50%[/tex]

Our answer is 50%

Answer:

Step-by-step explanation:

relation is a function if we have y for every x from domain and for one x we have one and only one y

x = 1  --> y = 2

x = 2 --> y = 2

x = -2 --> y = 2

no x-es without y-es

and no two the same x-es with one y

so this relation is a function

Answer:

the answer of this is : (-1)

Answer:

if it is wednesday, it is a weekday.

Step-by-step explanation:

not all tables have 4 legs, not all printed words are in books, not all months have 30 days.

Answer:

2nd one

Step-by-step explanation:

life's a gamble

Answer:

C is the answer

Step-by-step explanation:

Answer:

B. 57.8

Step-by-step explanation:

Changing 46% to a decimal it would be 0.46

125.7 * 0.46 = ?

125.7 * 0.46 = 57.822

57.822 rounds to 57.8 which is answer B.

Answer:

It's 57.823

Step-by-step explanation:

I looked it up lol