If Paul and Steve are the same height and they are both correct, write an equation to represent this relationship. Put Paul's expression on the left side of the equal sign and Steve's expression on the right.

Answer:

1. no solution 2. has one solution

Step-by-step explanation:

first you must find the discriminant of each quadratic also remember

if the discriminant is positive  b^{2}-4ac> 0, then the quadratic equation has two solutions.

if the discriminant is equal  b^{2}-4ac= 0, then the quadratic equation has one solution.

if the discriminant is negative  b^{2}-4ac< 0, then the quadratic equation has no solution.

1. the discriminant is [tex]\sqrt{b^2-4ac}[/tex] and when you plug in the numbers you get -55 which is less than 0

2. the discriminant is 0 so there is one solution

Answer:

1. has no real roots, no solutions (unless you can have imaginary solutions)

2. touches the x axis in one point, so one solution

Step-by-step explanation:

Answer:

1. 4a^2 + 4a + 1

2 9b^2 + 12bc + 4c^2

3 4p^4 + 12p^2q^2 + 9q^4

Step-by-step explanation:

Answer:

Option A, As x increases, the rate of change exceeds the rate of f

Answer:

22, 29, 37

Step-by-step explanation:

There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.

Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one

1+0=1

1+1=2

2+2=4

4+3=7

7+4=11

11+5=16

16+6=22

22+7=29

29+8=37

22, 29, 37

Answer:

Hello,

Answer D

Step-by-step explanation:

In a function a value may not have 2 images.

y1=f(x1) and y2=f(x1) ==> y1=y2

Answer: she made 4 bracelets.

Step-by-step explanation:

Let x, y, z are the number of three kinds of beads, where x= number of pink beads.

As per given, number of pink beads= half of total beads  

[tex]\Rightarrow\ x=\dfrac{1}{2}(x+y+z)\\\\\Rightarrow 2x= x+y+z\\\\\Rightarrow\ x= y+z\ \ \ ...(i)[/tex]

Also, She used all pink beads,  Number of pink beads she used for each bracelet= one eighths of the total number of beads

[tex]\dfrac{1}{8}(x+y+z)\\\\=\dfrac{1}{8}(x+x)\ \ \ [ {\text{From (i)}}][/tex]

[tex]=\dfrac{1}{8}(2x)\\\\=\dfrac{x}{4}[/tex]bracelets =

Number of bracelets = (Number of pink beads) ÷ (Number of pink beads used for each bracelet)

[tex]=\dfrac{x}{\dfrac{x}{4}}=4[/tex]

Hence, she made 4 bracelets.

Answer:

-8.58

Step-by-step explanation:

p = 9.7

=> -3.28 - (-4.4) + (-p)

=> -3.28 - (-4.4) + (- (9.7))

=> -3.28 - (-4.4) + (-9.7)

=> -3.28 - (-4.4) -9.7

=> -3.28 +4.4 -9.7

=> -12.98 +4.4

=> -8.58

Answer:

The evaluated answer for this equation is -8.58

Step-by-step explanation:

We are given a value of p so we will use this value for the equation.

-3.28 - (-4.4) + (-p)

Replace p with 9.7

-3.28 - (-4.4) + (-9.7)

Since there is a double negative in front of 4.4, then that means that we are going to be adding -3.28 to 4.4

1.12 + (-9.7)

Subtract 1.42 from 9.7 because there is negative sign in front of 9.7

-8.58

Do you mean 32/192 or 192/32 because 32/192= 0.1666 where 192/32= 6

Answer:

1/6.

Step-by-step explanation:

32/192       Divide top and bottom by 8:

= 4 / 24       Now by 4:

= 1/6.

Answer:

9 (a)

x=50

y=75

(b)

(i)

y=105

(ii)

y=145

Step-by-step explanation:

The explanation is in the picture!

Answer:

A 6.09

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

0.7 rounds to 1 so add 1 to 67 to get 68

Answer:

x = 25°

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , then

2x + 100 = 150 ( subtract 100 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25°

Answer: x = 25°

Step-by-step explanation:

⇒2x + 100 = 150

⇒2x = 150-100

⇒x = 50/2

⇒x = 25

Reason (VOA) vertically opposite angles are equal.

please click thanks and mark brainliest if you like :)

Answer:

62034.74

Step-by-step explanation:

Answer:

62034.74  use a converter

Step-by-step explanation:

Answer:

(4x2 +5)⋅(4x2 −5)

Answer: Angle Addition Postulate

Step-by-step explanation:

In the given picture, we have ∠MRO and ∠MRS on line SRO.

So, ∠SRO = ∠MRO +∠MRS  [By angle addition postulate]

So the postulate that justify the statement " ∠SRO = ∠MRO +∠MRS" is Angle Addition Postulate.

Answer:

(9,4)

Step-by-step explanation:

Using the Midpoint theorem, we have

x=(10+8)/2=18/2=9

y=(4+4)/2=8/2=4

Answer:

Below!

Step-by-step explanation:

X intercept

y = 5x - 6

0 = 5x - 6

-5x = -6

divide both sides by -5

x = 6/5 or 1.2  

(1.2, 0)

Y intercept

y = 5x - 6

y = 5(0) - 6

y = -6

(0, -6)

Hope this helps! Best of luck <3

Answer: D

Step-by-step explanation:

[tex]a=0,\ b=0,\ k=2\\equation\ of\ the\ parabola:\\\\y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\\\y=-\dfrac{x^2}{4}+1 \\\\x^2=-4(y-1)\\\\Answer\ D[/tex]

Answer:

85 films

Step-by-step explanation:

10 + 20 + 25 + 20 + 10

= 85 films

answered by g a u t h m a t h

Answer:

Value of x is -3

Step-by-step explanation:

Given:

5x + 15 = 0

Find:

Value of x

Computation:

5x + 15 = 0

From subtracting 15 from both side (LHS and RHS)

5x + 15 – 15 = 0 – 15

5x = -15

From dividing 5 from both side (LHS and RHS)

5x / 5 = -15 / 5

x = -3

So,

Value of x is -3

Answer:

Area = 209.5 ft² (nearest tenth)

Cost = $505 (approximated)

Step-by-step explanation:

Step 1: convert the inches to be in feet by dividing length in inches by 12.

17 feet 10 inches => [tex] 17 + \frac{10}{12} = 17.83 ft [/tex]

11 feet 9 inches => [tex]11 + \frac{9}{12} = 11.75 ft[/tex]

Step 2: Find the area of the floor of the dinning room

Area = 17.83*11.75 = 209.5 ft² (nearest tenth)

Step 3: Find the cost of the work.

Cost = 209.5 ft² × $2.41 = $505 (approximated)

Answer:

the critical value for r at [tex]r_{0.05, 23}[/tex] = 0.396

Step-by-step explanation:

Given that:

the linear correlation coefficient r = 0.767

the sample size n = 25

the level of significance ∝ = 0.05

The degree of freedom is expressed with the formula df = n - 2

 df = 25 - 2

 df = 23

the critical value for r at [tex]r_{0.05, 23}[/tex] = 0.396

The linear correlation coefficient r = 0.767 is not in the region between the critical values of -0.396 and +0.396. We can therefore conclude that the linear correlation coefficient is significant.

Answer:

a3+13a

Step-by-step explanation:

sorry I don't know how to solve this

Answer:+-3

Explanation:

I added 4 on both side so that a^2+1/a^2-2 becomes a^2+1/a^2+2 which is Special products of (a^2+1/a^2).

[tex]\\ \sf\longmapsto 14.3-4.1[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{10}-\dfrac{41}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143-41}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{102}{10}[/tex]

[tex]\\ \sf\longmapsto 10.2[/tex]

Answer:

32

Step-by-step explanation:

We can call the number x. 75% can be expressed as 0.75 so we can write the following equation: 0.75x = 24. Dividing both sides by 0.75 to get rid of the coefficient of x, we get that x = 32.

Answer:

32.

Step-by-step explanation:

Let's say the number we are trying to find is x.

24 = 0.75x

0.75x = 24

x = 24 / 0.75

x = 32

Hope this helps!

Answer:

y = 0.5X + 48

Answer:

48 + 0.50m

Step-by-step explanation:

m, the variable, equals to the number of miles driven. Since there is a base fare of $48, that will be the constant. It is $0.50 per mile, so it's 0.50m. Substituting for m, the miles driven, will give you the final cost.

Answer:

[tex]x = -5 \text{ or } x =3[/tex]

Step-by-step explanation:

We want to find the real solutions to the equation:

[tex]\displaystyle 8^{x^2 + 2x - 15} = 1[/tex]

Recall that any value raised to zero (except for zero itself) is one.

In other words, the exponent must equal zero:

[tex]x^2 + 2x - 15 = 0[/tex]

Solve for x. Factor:

[tex](x+5)(x-3) = 0[/tex]

Zero Product Property:

[tex]x + 5 = 0\text{ or } x - 3 = 0[/tex]

Solve for each case. Hence:

[tex]x = -5 \text{ or } x =3[/tex]

In conclusion, our two real solutions are:

[tex]x = -5 \text{ or } x =3[/tex]

Answer:

the horizontal distance is the x-intercept, and the vertical distance is the y-intercept

1) x-int=1, y-int=1

2) x-int=6, y-int=5