identify the terms, coefficient, variable,and constant a² + 2 + 7b​

Answer:

You will need to buy 12 feet of border.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

xf

Answer:

[tex]\displaystyle x_1=\frac{5+\sqrt{13}}{2}\approx4.3\text{ and } x_2=\frac{5+\sqrt{13}}{2}\approx0.7[/tex]

Step-by-step explanation:

We are given:

[tex]x^2-5x+3=0[/tex]

And we want to solve this via completing the square.

First, we will subtract 3 from both sides. This yields:

[tex]x^2-5x=-3[/tex]

Next, we will factor out the leading coefficient from the left.

In this case, the leading coefficient is simply 1 so we can leave it as is.

Next, we want to add a constant that is half of the b coefficient squared.

In this case, b = -5.

Half of that is -5/2.

Squaring yields 25/4.

So, we will add 25/4 to both sides. Since our leading coefficient is 1, we don't need to multiply by anything when we add it on the right. Hence:

[tex]\displaystyle x^2-5x+\frac{25}{4}=-3+\frac{25}{4}[/tex]

The left side constitutes a perfect square trinomial as shown:

[tex]\displaystyle (x)^2-2\Big(\frac{5}{2} \Big)(x)+\Big(\frac{5}{2}\Big)^2=-\frac{12}{4}+\frac{25}{4}[/tex]

Factor and subtract:

[tex]\displaystyle \Big(x-\frac{5}{2}\Big)^2=\frac{13}{4}[/tex]

Taking the square root of both sides gives:

[tex]\displaystyle x-\frac{5}{2}=\pm\frac{\sqrt{13}}{2}[/tex]

Hence:

[tex]\displaystyle x=\frac{5}{2}\pm\frac{\sqrt{13}}{2}}=\frac{5\pm\sqrt{13}}{2}[/tex]

Approximate:

[tex]\displaystyle x_1=\frac{5+\sqrt{13}}{2}\approx4.3\text{ and } x_2=\frac{5-\sqrt{13}}{2}\approx0.7[/tex]

Answer:

60km

Step-by-step explanation:

we multiply 30 with 2 and we get the answer as 60km in two hours.

Answer:

(-9/2,3/2)

Step-by-step explanation:

x coordinate of mid point=(x1+x2)/2

y coordinate of mid point=(y1+y2)/2

Answer:

10

Step-by-step explanation:

Answer:

11x - 3y

Step-by-step explanation:

6x + 5x + 2y - 5y

11x - 3y

Hope this helps

Answer:

400 yards

Step-by-step explanation:

300+x>600

x>300, to be a multiple of 100,  the third side must be 400 yards

Answer:

Car 1 : 40 miles per gallon

Car 2: 25 miles per gallon

Step-by-step explanation:

family has two cars. During one particular week, the first car consumed 15 gallons of gas. The second car consumed 25 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week

Given that :

Fuel efficiency , car 1 = x

Fuel efficiency , car 2 = y

x + y = 65 - - (1)

15x + 35y = 1475 - - - (2)

x = 65 - y

15(65-y) + 35y

975 - 15y + 35y = 1475

20y = 14875 - 975

20y = 500

y = 25

Put y = 25 in (1)

x + y = 65

x + 25 = 65

x = 65 - 25

x = 40

Answer: C

Step-by-step explanation:

Answer:

D-No, the two figures are oriented differently

Step-by-step explanation:

Answer:

I belive it is D if it is pearson savvas realize .

Hope it helps:)

Step-by-step explanation:

Answer:

y = -6 + 1.2*x is the answer I would use, but see the note below.

Step-by-step explanation:

Let x = the number of minutes.

Let y = the temperature at any given time.

y = -6 + 1.2*x

This is the equation that you would use if you were calculating y with a calculator. If you are in a chemistry class it should be written as

y = - 6°C + 1.2°x/ min

Answer:

1.x

=

105

−

2

y

3

2.x

=

225

−

2

y

Step-by-step explanation:

ad them all up

Answer:

Its B !!!

Step-by-step explanation:

Have a great day

Answer:

She left a $4.80 tip.

Answer:

Tip $4.80

Total $28.80

Step-by-step explanation:

20% = 0.2

24 x 0.2 = 4.8

24 + 4.8 = 28.8

Answer:

36π

Step-by-step explanation:

2π9² × 80/360 = area of sector

2π9² × 2/9 = 162π × 2/9 = 18π × 2 = 36π

36π is the area

Answer: 15 students

Step-by-step explanation:

From the question, we are informed that there are 150 students in 6th grade, and that 10% earned straight As last quarter.

The number of students that earned straight As will be:

= 10% × 150

= 10/100 × 150

= 0.1 × 150

= 15 students

Answer:

5

Step-by-step explanation:

Answer: [tex]A= 32(\pi-2)\ cm^2, \ \ \ P=8\pi\ cm[/tex]

Step-by-step explanation:

When we consider Area under arc AC is is representing a quarter as ADBC is a square, [tex]\angle D=90^{\circ}[/tex].

Area of quadrant = [tex]\dfrac{\pi r^2}{4}[/tex]

here r= 8 cm

Area under Arc AC= [tex]\dfrac{\pi (8)^2}{4}=16\pi\ cm^2[/tex]

Area of white region ABC = Area of square ADBC - Area under Arc AC

[tex]=8^2-16\pi\ \ [\text{Area of square} = sides^2]\\\\= 64-16\pi\ \ =16(4-\pi)\ cm^2[/tex]

Similarly , Area of white region ADC =  [tex]16(4-\pi)\ cm^2[/tex]

Area of shaded region = Area of square - Area of white region ABC - Area of white region ADC

[tex]=64-(64-16\pi)-(64-16\pi)\\\\= 32\pi-64\ cm^2 \\\\= 32(\pi-2)\ cm^2[/tex]

Area of shaded region =[tex]= 32(\pi-2)\ cm^2[/tex]

Length of arc AC = [tex]\dfrac{Circumference}{4}=\dfrac{2\pi r}{4}[/tex]

[tex]\dfrac{\pi (8)}{2}=4\pi cm[/tex]

Perimeter of shaded region = 2(AC) = [tex]8\pi\ cm[/tex]

Answer:

x>-2

Step-by-step explanation:

-2x+6<10

-2x<10-6

-2x<4

x<4/-2

x>-2 because negative answer

Answer: (5 - √1) and (4 + √7)

Step-by-step explanation:

Here we have 4 roots, then this is a polynomial of 4th degree.

We can write it as

a*x⁴ + b*x³ + c*x² + d*x + e = 0

We could rewrite this as the product of two quadratic equations:

(a₁*x² + b₁*x + c₁)*(a₂*x² + b₂*x + c₂) = 0

This will be equal to zero when (a₁*x² + b₁*x + c₁) is equal to zero, and when

(a₂*x² + b₂*x + c₂) is equal to zero.

Then we need to find the roots of these two quadratic equations.

And we know that the roots of a quadratic equation like:

a₁*x² + b₁*x + c₁ are given by:

[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a} = \frac{-b}{2a} +-\frac{\sqrt{b^2 - 4ac}}{2a}[/tex]

Then the general form of the roots is something like:

[tex]A +-\sqrt{B}[/tex]

This means that if one of the roots is:

5 + √1, we must have another root equal to 5 - √1

And if we have one root equal to 4 - √7, then we must have another root equal to 4 + √7

Then the correct options are:

(5 - √1) and (4 + √7)

Answer:

The height would be 18.99

Answer:

A

Step-by-step explanation:

The solution we're looking at here is a set of all the points between two parallel lines. Let's see what we can find out about those lines from the inequality, and use that the pick the correct option.

We can start by splitting the inequality at the top into two seperate inequalities:

[tex]7\leq y-3x<11\\y-3x\geq7\\y-3x<11[/tex]

From here, we can put each inequality into slope-intercept form:

[tex]y\geq3x+7\\y<3x+11[/tex]

Our slope for both lines is positive, so we can immediately eliminate B and D. A and C both display lines with slopes of 3 and y-intercepts of 7 and 11; the only difference is in which line is dashed and which line is solid.

As a reminder, a dashed line means that the line itself is not included in the solution, a solid line means that it is. Dotted lines always pop up when you see the symbols < and >, while solid lines pop up when you see ≤ and ≥.

[tex]y\geq3x+7[/tex] (Solid)

[tex]y<3x+11[/tex] (Dashed)

This matches up very nicely with the graph in A, our solution.

Answer:

8km / 9 hours

Step-by-step explanation:

see the point is on

x axis = 9 = 9 hours

y axis = 8 = 8 kilometers

so the average speed of bus is 8 km in 9 hours

Answer:

mark as brainlest

Step-by-step explanation:

average speed = 9/10

=0.9kms-¹

Answer:

x = q +3

Step-by-step explanation:

+ 3 on both sides

hope this helps

Answer:

500

Step-by-step explanation:

2000/4=500

500*4=2000

Answer:

500 miles per hour

Step-by-step explanation:

4 multiplied by 500 is 2000