Determine the number of real solutions each quadratic equation has.
y = 12x2 - 9x + 4

Answer:

A) x^2-10x+25 B)X^3-15x^2+75x-125

Step-by-step explanation:

H^2=(x-5)(x-5)=x^2-10x+25

H^3=(x-5)(x-5)(x-5)=X^3-15x^2+75x-125

Answer:  d = -9/8

Steps: 5d + ½ = d - 4

Subtract ½ from both sides: 5d + ½ - ½  = d - 4 - ½

Simplify: 5d = d - 9/2

Subtract d from both sides: 5d - d = d - 9/2 - d

Simplify: 4d = -9/2 ÷ 4

Simplify: d = -9/8

PLz mark brainliest:)

Given :-

ΔBCD ≅ ΔGEF

Then :-

∠B <=> ∠G ( ∠B = ∠G )

∠C <=> ∠E ( ∠C = ∠E )

∠D <=> ∠F ( ∠ D = ∠F )

BC <=> GE ( BC = GE )

CD <=> EF ( CD = EF )

BD <=> GF ( BD = GF )

Using this let us find CD .

CD = EF

Which means :-

[tex] 3x + 8 = 4x + 6[/tex]

[tex]8 = 4x + 6 - 3x[/tex]

[tex]8 = 1x + 6[/tex]

[tex]1x + 6= 8[/tex]

[tex]1x = 8 - 6[/tex]

[tex]1x = 2[/tex]

[tex]x = 2[/tex]

Then :-

EF =

[tex]EF = 4x + 6 \\ = 4 \times 2 + 6 \\ = 8 + 6 \\ = 14[/tex]

CD =

[tex]CD = 3x + 8 \\ = 3 \times 2 + 8 \\ = 6 + 8 \\ = 14[/tex]

△BCD≅△GEF

The measure of CD is 14

Given :

Two triangles are congruent

△BCD≅△GEF

When triangles are congruent then the sides are equal

[tex]BC=GE\\CD=EF\\DB=FG\\[/tex]

Given that CD=3x+8 and EF=4x+6

[tex]CD=EF\\3x+8=4x+6\\3x+8-3x=4x-3x+6\\8=x+6\\8-6=x+6-6\\x=2[/tex]

The value of x=2

Now we find measure of CD

[tex]CD=3x+8\\CD=3(2)+8\\CD=14[/tex]

The measure of CD is 14

Learn more :  brainly.com/question/18373823

Answer:x= -3/8

Step-by-step explanation:

Answer:

-3/8

Step-by-step explanation:

4(3-2x)=15

-3/8

Answer:

0.82

Step-by-step explanation:

We are given;

P(households own a pet) = 68% = 0.68

P(have trouble paying their energy bills) = 31% = 0.31

P(households own a pet & have trouble paying energy bills) = 17% = 0.17

Now, to find the probability that a household either owns a pet or having trouble paying energy bills is gotten by the relationship;

P(households own a pet or have trouble paying energy bills) = P(households own a pet) + P(have trouble paying their energy bills) - P(households own a pet & have trouble paying energy bills)

This gives;

P(households own a pet or have trouble paying energy bills) = 0.68 + 0.31 - 0.17 = 0.82

Answer:

Answer is 12x+4. Hope that helped.

Answer:

v=2(x - 1)(x-6)=2(x²-6x-x+6)=12x²-12x-2x+12

v = 12x²-14x+12  standard form

Step-by-step explanation:

Answer:

33.

Step-by-step explanation:

I assume that the 2 triangles are similar.

x/77 = 24/56

56x = 77*24

x = (77*24(/56

x = 33.

Answer:

-4w+4

Step-by-step explanation:

Answer:

-4w+4 Is te correct answer

Answer:

4.05 is greater than 0.45

Answer:

1

Step-by-step explanation:

3/4 + 1/4 since they both have a 4 as the denominator you only have to add the top since they made it easy. and since that would be 4/4 your answer would be 1 whole.

Answer:

Algebra

Step-by-step explanation:

Answer:

algebra, you can check on google as well

Answer:

There are four main types of transformations: translation, rotation, reflection and dilation.Translation moves the object without rotating it or changing its size. Reflection flips the object about a line of reflection. Rotation rotates a figure about a fixed point. Dilation changes the size of a figure without changing its essential shape.When you reflect a point across the x-axis, the x-coordinate remains the same,but the y-coordinate is transformed into its opposite. a negative angle of rotation turns the figure in a clockwise direction.Transformation can be done in a number of ways, including reflection, rotation, and translation. ~When you reflect a point across the x-axis, the x-coordinate remains the same,but the y-coordinate is transformed into its opposite. a negative angle of rotation turns the figure in a clockwise direction.

Step-by-step explanation:

Transformation simply means changing the size and location of shapes, lines and points in the coordinate geometry

The similarities

Translations, reflections, and rotations are all rigid transformations

This means that, they do not change the side lengths and angle measure of the shape they transform.

The differences

Translation: can only change the position of shapes without rotating or flipping the shape.

Rotation: This means that a shape is to be turned around a center at a particular degree

Reflection: This simply means that, a shape is mirrored over a line

Real-world transformation

A scenario is when the blades of a fan rotates when the fan is powered on

Examples

Reflection

Rotation

Translation

Read more about transformations at:

https://brainly.com/question/13801312

im not sure just yet

Answer:

134 is the answer

Answer: 134

Step-by-step explanation:

54+ (48+72) x 2/3

54+120x2/3=134

Answer:

5/9

Step-by-step explanation:

2/3 • 5/2 • 2/3

1/3 • 2/5 • 2/3

multiply 1/3 for 5/2

5

-----------

3 • 2

multiply 3 for 2

5/6 • 2/3

anular el factor común 2

5/3 • 1/3

multiply 5/3 for 1/3

5

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

3 • 3

multiply 3 for 3

5/9

the result

5/9

form decimal

0.5

Answer:

The null hypothesis                 [tex]H_o : \mu = 3.2 \ mg/dl[/tex]

The alternative hypothesis      [tex]H_a : \mu > 3.2 \ mg/dl[/tex]

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu = 3.2 \ mg/dl[/tex]

   The standard deviation is [tex]\sigma = 1.5 mg/dl[/tex]

   The sample size is  n = 25

    The sample mean is  [tex]\= x = 3.75 \ mg /dl[/tex]

Generally

   The null hypothesis is : That the mean of the  Arsenic blood concentrations in healthy individuals is [tex]\mu = 3.2 \ mg/dl[/tex]

i.e

The null hypothesis  [tex]H_o : \mu = 3.2 \ mg/dl[/tex]

    The alternative hypothesis is : That the mean of the  Arsenic blood concentrations in healthy individuals is greater than  [tex]\mu = 3.2 \ mg/dl[/tex]

The alternative hypothesis      [tex]H_a : \mu > 3.2 \ mg/dl[/tex]

Answer:

-3 = -12

Step-by-step explanation:

Have a great day

I hope that is the answer you are looking for :)

Answer:

The  rejection region is

       [tex]F_{cal} < F_{{1-\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

or     [tex]F_{cal} > F_{{\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

and  

From the value obtained we see that  

[tex] F_{cal} <   F_{\frac{\alpha }{n} , df_1 , df_2 } [/tex]    Hence

    The decision rule

Fail to reject the null hypothesis

The conclusion

This no sufficient evidence to conclude that there is a difference between the two variance

Step-by-step explanation:

From the question we are told that

   The first sample size is  [tex]n_1 =  12[/tex]

   The first sample standard deviation is [tex]s_1 =  0.038 \  mil[/tex]

   The second sample size is  [tex]n_2 =  10[/tex]

   The first sample standard deviation is [tex]s_2 =  0.042 \  mil[/tex]

    The significance level is  [tex]\alpha =0.05[/tex]

The null hypothesis is [tex]H_o : \sigma^2_1  = \sigma^2_2[/tex]

The alternative hypothesis is   [tex]H_o : \sigma^2_1 \ne  \sigma^2_2[/tex]

Generally the test statistics is mathematically represented as

        [tex]F_{cal} =  \frac{s_1^2 }{s_2^2}[/tex]

=>     [tex]F_{cal} =  \frac{ 0.038^2 }{0.042^2}[/tex]

=>     [tex]F_{cal} =  0.81859[/tex]    

Generally the first degree of freedom is  [tex]df_1 =  n_1 -1  =  12-1 = 11[/tex]

Generally the second degree of freedom is  [tex]df_2 =  n_2 -1  =  10 -1 = 9[/tex]

From the F-table the critical  value of  [tex] \frac{\alpha}{2}[/tex] at the degrees of freedom of   [tex]df_1 = 11[/tex]  and   [tex]df_2 =9 [/tex] is  

         [tex]F_{\frac{\alpha }{n} , df_1 , df_2 } =  3.91207[/tex]

The  rejection region is

       [tex]F_{cal} < F_{{1-\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

or     [tex]F_{cal} > F_{{\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

and  

From the value obtained we see that  

[tex] F_{cal} <   F_{\frac{\alpha }{n} , df_1 , df_2 } [/tex]    Hence

    The decision rule

Fail to reject the null hypothesis

The conclusion

This no sufficient evidence to conclude that there is a difference between the two variance

Answer:

Not a Function

Step-by-step explanation:

Answer:

Step-by-step explanation:

75

Answer:

24 feet wide

Step-by-step explanation:

72/18 = 4

80/20 = 4

88/22 = 4

Since there is one common answer between all sizes, you can make a ratio to help or you can use inverse operations.

Inverse operations is easier, so you would divide 96 by 4, and that will equal 24.

Answer:

perimeter =2(l+w)

6.6=2(l + 1.8)

6.6= 2L + 3.6

L=3/2 =1.5

ans =1.5

Answer:

A. 20%

Step-by-step explanation:

fruit punch A is half of fruit punch B so times 35 by 2 and then subtract 50. 50 came from 25 times 2.

Answer:

[tex] y = \frac{2}{3}x - 6 [/tex]

Step-by-step explanation:

Recall that the the equation of a line in slope-intercept form is given as [tex] y = mx + b [/tex].

m = the slope of the line

b = the y-intercept. This is the point at which the line intercepts the y-axis.

We are given:

slope (m) = ⅖

y-intercept (b) = -6

All you need to do to get an equation of the line is to simply substitute m = ⅔ and b = -6 into [tex] y = mx + b [/tex].

[tex] y = \frac{2}{3}x + (-6) [/tex]

[tex] y = \frac{2}{3}x - 6 [/tex]

The equation for the line is .[tex] y = \frac{2}{3}x - 6 [/tex]

We're given two pairs of congruent sides, and a pair of congruent angles. The angles are not between the two congruent sides. So we don't have enough information to know if the triangles are congruent or not. SSA is not a valid congruence theorem. This is because there are some cases where two triangles are possible leading to ambiguity.

If the marked angles were between the tickmarked sides, then we could use SAS.

Answer:

There's no evidence to show that the recent experience suggests a decline in spending.

Step-by-step explanation:

We are given;

Population mean; μ = $2.5

Population Standard deviation; σ = $0.9

Sample mean; x¯ = $2.1

Sample size; n = 18

Significance level; α = 0.01

Let's define the hypothesis;

Null hypothesis; H0: μ ≥ $2.5

Alternative hypothesis; Ha: μ < $2.5

z-score formula is;

z = (x¯ - μ)/(σ/√n)

z = (2.1 - 2.5)/(0.9/√18)

z = -0.4/0.2121

z = -1.886

Using the p-value from z-score calculator attached and using z = -1.886; α = 0.01; one tail; we have;

P-value = 0.2965

This is more than the significance level. Thus, we will fail to reject the null hypothesis and conclude that there is no evidence to show that the recent experience suggests a decline in spending.

Complete question is;

A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm/hr. At what rate is its diameter decreasing?

Answer:

Diameter is decreasing at the rate of 5/(2πr) cm/hr

Step-by-step explanation:

We are told the stone is wearing away at a rate of 50 cm/hr. This means the volume is decreasing. Thus;

dV/dt = -50 cm/hr

Now, a grindstone is in the shape of a cylinder. Thus, volume of grindstone is;

V = πr²h

dV/dr = 2πrh

Now,to find the rate at which the diameter is decreasing, we'll write;

dr/dt = (dV/dt)/(dV/dr)

dr/dt = -50/(2πrh)

We are given;

Diameter = 200 cm

Radius; r = 200/2 = 100 cm

Thickness; h = 10 cm

Thus;

dr/dt = -50/(2π × r × 10)

dr/dt = -5/(2πr) cm/hr

The rate at which grindstone diameter decreases is [tex]-5/2\pi r \;{\rm cm/hr}[/tex] and this can be determined by using the given data.

Given :

A 10 cm thick grindstone is initially 200 cm in diameter and it is wearing away at a rate of 50 [tex]\rm cm^3/hr[/tex].

The following steps can be used in order to determine the rate at which grindstone diameter decreases:

Step 1 - According to the given data, the rate at which grindstone volume decreases is:

[tex]\dfrac{dV}{dt} = 50\;{\rm cm^3/hr}[/tex]        --- (1)

Step 2 -  The formula of the volume of the cylinder (grindstone) is given below:

[tex]V = \pi r^2 h[/tex]

Step 3 - Differentiate the above expression with respect to 'r'.

[tex]\dfrac{dV}{dr} = 2\pi r h[/tex]          --- (2)

Step 4 - So, using the expression (1) and (2) the rate at which grindstone diameter decreases is:

[tex]\dfrac{dr}{dt}=\dfrac{\frac{dV}{dt}}{\frac{dV}{dr}}[/tex]

[tex]\dfrac{dr}{dt}=\dfrac{-50}{2\pi r \times 10}\\[/tex]

[tex]\dfrac{dr}{dt} = -\dfrac{5}{2\pi r }\; {\rm cm/hr}[/tex]

So, the rate at which grindstone diameter decreases is [tex]-5/2\pi r \;{\rm cm/hr}[/tex].

For more information, refer to the link given below:

https://brainly.com/question/12748872

Answer:

1. 2(x + y) = 180

2. His sandbox needs to be 8 ft wide.