Solving Systems of Equations using substitution
Y= -6x - 10
Y= x + 4

Answer:

Step-by-step explanation:

Use the Quadratic Formula.

-x² - 4x + 16 = 0

x = [4±√(4²-4(-1)(16)]/[2(-1)] = [4±√80]/(-2) = [4±4√5]/(-2) = -2±2√5

Answer:

4/6 is more than 5/12

Step-by-step explanation:

First, set the denominators of the fractions equal to eachother to make it easier to compare.  mulitiply 6 and 4 by 2 so that the denominator now equals 12, and you have the new fractions 5/12 and 8/12.  Since 8/12 is more than 5/12, 4/6 is more than 5/12.  

Answer:

5/12 is greater than 4/6

Step-by-step explanation:

using the butterfly method, multiplying 12 x 4 = 48

and 6x5=30  48 is more than  30

48 Stands for 5/12

30 stands for 4/6

Answer:

rectangles, squares, and right triangles

Answer:

c

Step-by-step explanation:

Answer:

π= 25.12 , r=6.28

area of a circle = πr²

= 25.12×6.28²

= 25.12×39.4

= 990.6cm²

Step-by-step explanation:

circumference of a circle is 2π

radius of a circle is 2π/4

Answer: A

Step-by-step explanation:

X values to the right of the y axis are positive. X values to the left of the y axis are negative.

Y values above the x axis are positive.

Y values below the x axis are negative.

Pairs of coordinates are always noted as (x,y) with the x value of a point given first and the y value of that same point given second.

Answer:

Step-by-step explanation:

Let A=(a,b) then the reflected over the x-axis will be A'=(a,-b)

A=(5,5) --> A'=(5,-5)

B=(5,1) --> B'=(5,-1)

C=(2,1) --> C'=(2,-1)

D=(1,5) ---> D'=(1,-5)

Answer:

18541.89/9 = $2060.21 is the answer

Step-by-step explanation:

Total college tuition = $18541.89

Number of equal payments = 9

Equal payments = 18541.89/9

                           = $2060.21

(Please do correct me if I'm wrong as I'm not completely sure)

Answer:

Check pdf

Step-by-step explanation:

Answer:

78.5/250 = 31.4%

Step-by-step explanation:

divide the area of the circle (which is 25π = 78.5 sq in) by the area of the rectangle (which is 25x10 = 250 sq in)

Answer:

0.5

Step-by-step explanation:

Answer:

0.5 or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

BG = [tex]\frac{4-3}{-2--4}[/tex] = 0.5

HL = [tex]\frac{-3--2}{-1-1}[/tex] = 0.5

This mean that the lines are parallel ..

Answer: 7 and 83

Step-by-step explanation:

complementary have an engles sum of  90 degree

7+83=90.

Answer:

x)x+5x

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{If x = 4 and f(x) = y}[/tex]

[tex]\mathsf{y = 4^2 + 5(4)}[/tex]

[tex]\mathsf{4^2 = 4 \times 4 = 16}[/tex]

[tex]\mathsf{y = 16 + 5(4)}[/tex]

[tex]\mathsf{5(4) = 20}[/tex]

[tex]\mathsf{y = 16 + 20}[/tex]

[tex]\mathsf{36= 20 + 16}[/tex]

[tex]\mathsf{y = 36}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer: \bf{y = 36}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

3. A = (0,-3)

   B = (4,-2)

    C = (-1,1)

4. A = (0,-6)

    B = (4,-5)

    C = (-1,-2)

Step-by-step explanation:

3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).

4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.

So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).

I hope this helped you.

Step-by-step explanation:

-2y+4>10

subtract 4 from both sides

-2y+4-4>10-4

-2y>6

divide both sides by two

-2/2y>6/2

-1y>3

if negative y is greater than three than you have to multiply both sides of the equation by -1

y>-3 if you put that back into the earlier equation it is impossible.

so we have to switch the signs to < or less than

y<-3

Hope that helps:)

Answer:

The answer is 21

I think how you approach this depends on your knowledge of calculus.

If you don't know how to compute definite integrals yet, but you do know that they represent signed areas under curves, then you can plot both curves |x - 4| and √(36 - x ²), then recognize that the areas represented by these integrals are areas of geometric shapes. (See attached images)

First integral: if you plot |x - 4| on the interval [3, 6], you'll see that the integral corresponds to the area of two triangles. One of them has base = height = 1, and the other has base = height = 2. Then

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac12\times1\times1+\frac12\times2\times2=\frac52[/tex]

Second integral: if [tex]y=\sqrt{36-x^2}[/tex], then [tex]x^2+y^2=6^2[/tex], meaning this curve is the upper half of a circle with radius 6. On the interval [-6, 0], the area amounts to 1/4 of the total area of such a circle, so that

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\frac{\pi\times6^2}4=9\pi[/tex]

* * *

If you already know a few things about calculus and integration, you can compute these areas directly.

First integral:

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\int_3^4(4-x)\,\mathrm dx+\int_4^6(x-4)\,\mathrm dx[/tex]

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(4x-\frac{x^2}2\right)\bigg|_{x=3}^{x=4}+\left(\frac{x^2}2-4x\right)\bigg|_{x=4}^{x=6}[/tex]

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\left(\left(4\times4-\frac{4^2}2\right)-\left(4\times3-\frac{3^2}2\right)\right)+\left(\left(\frac{6^2}2-4\times6\right)-\left(\frac{4^2}2-4\times4\right)\right)[/tex]

[tex]\displaystyle\int_3^6|x-4|\,\mathrm dx=\frac52[/tex]

Second integral:

Substitute x = 6 sin(t ) and dx = 6 cos(t ) dt, then

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=\int_{-\frac\pi2}^0\sqrt{6^2-(6\sin(t))^2} (6\cos(t))\,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{1-\sin^2(t)} \,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) \sqrt{\cos^2(t)} \,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos (t) |\cos(t)| \,\mathrm dt[/tex]

For t ∈ [-π/2, 0], cos(t ) > 0, so |cos(t )| = cos(t ) :

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=36\int_{-\frac\pi2}^0\cos^2(t)\,\mathrm dt[/tex]

Recall the half-angle identity,

cos²(t ) = (1 + cos(2t )) / 2

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\int_{-\frac\pi2}^0(1+\cos(2t))\,\mathrm dt[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(t+\frac{\sin(2t)}2\right)\bigg|_{t=-\frac\pi2}^{t=0}[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=18\left(\left(0+\frac{\sin(2\times0)}2\right)-\left(-\frac\pi2+\frac{\sin\left(2\times\left(-\frac\pi2\right)\right)}2\right)\right)[/tex]

[tex]\displaystyle\int_{-6}^0\sqrt{36-x^2}\,\mathrm dx=9\pi[/tex]

Answer:

30 sixth graders

Step-by-step explanation:

50% = 0.50

multiply 60 by the decimal fraction of the percentage:

60 x 0.50 = 30

you can also just take 60 and divide by 2 since 50% means half

Answer:

EX: Use three coins to represent the wolf, the goat, and the cabbage. ... The slope from (0, 0) to any point (x, y) on the line will be y_ x . 8b. b 7.5. 9a. ... 11b. x 2. 10x. 25 x. 4 x x2. 4x. 7. 7x. 28. 11c. xy 2y 6x 12 11d. x 2. 2x. 3. 2 x y ... 13c. 4 yr. 13d. 24. ___. 20. 6 __. 5 1.2. 14a. 3 x 2. 16x 5. 1. 3x x 3x2. 15x. 5. 1x.

Step-by-step explanation:

Answer:

Lyndsay charges a better deal

Step-by-step explanation:

With Lyndsay charging $100 for 4 hours you get $20 off because 4 hours with Margaret charges $120.

Answer:

Margaret

Step-by-step explanation: Lyndsay charges 25 dollars an hour for tutoring while Margaret only charges 20 dollars an hour for tutoring. Therefore, Margaret has a WAY better deal, Lyndsay charges 5 more dollars then Margaret.

60 divided by 2: 20

100 divided b 4: 25.

              {~} Izzy ∩﹏∩ {~}

Answer:

8

Step-by-step explanation:

2+(5)(2)−4

=2+10−4

=12−4

=8

Answer:

6.2222222222 over 3 to the power of 2 + 5 × 2 − 4

Solution :

Given the number of the edges are = 11

Therefore we take [tex]$\frac{1}{11}=0.091$[/tex]

And the number of the vials total is = 100

Thus we can multiply = [tex]$100 \times 0.091 = 9.1$[/tex]

From the table provided below, we can obtained :

1. Null hypothesis and alternate hypothesis :

The following null and alternate hypothesis needs to be tested :

[tex]$H_0:p_1=0.091, \ p_2 = 0.091, p_3=0.091, \p_4=0.091, \p_5=0.091, \p_6=0.091, \p_7=0.091,$[/tex] [tex]$p_8=0.091, \ p_9=0.091, \ p_{10}=0.091, \ p_{11}=0.091 $[/tex]

[tex]$H_a :$[/tex] some of the population differ from the values stated in the null hypothesis. It corresponds the Chi-square test that is for the Goodness of the Fit.

2. Rejection region :

It is given --

significance level, α = 0.05

number of degrees of freedom, df = 11 - 1

                                                         = 10

Then the rejection region of this test is :

[tex]$R=\{ x^2:x^2 >18.307\}$[/tex]

3. Test statistics

The Chi-Squared statistics is computed as :

[tex]$x^2=\sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}$[/tex]

    [tex]$=7.21+4.089+0.133+0.089+1.056+3.825+2.638+0.924+1.671+0.001+0.001$[/tex]

    = 21.638

4. Decision about null hypothesis

Since we see that :    [tex]$x^2=21.638>x^2_c = 18.307$[/tex], we can concluded that we can reject the null hypothesis.

5. Conclusion :

It is concluded that the null hypothesis [tex]$H_0$[/tex] is rejected. So there is enough evidence for us to claim that the population proportions differ from that stated in null hypothesis at α = 0.05 significance level.

Answer:

4 minutes, because in 3 minutes, the slower copier has done 1/4 of the job (at a 12 minute pace ). That means that during the same 3 minutes, the faster copier did 3/4 of the job.

So the faster copier is on pace to complete the entire job in 4 minutes (3 X 4/3).

Step-by-step explanation:

Answer:

The correct answer is B. $59.05.

Step-by-step explanation:

Given that I have a restaurant bill of $ 46.32, if I am taxed 7 1/2 and decide to tip my server 20%, to determine how much is my total, the following calculation must be performed:

1/2 = 0.5

46.32 + (46.32 x 0.075) + (46.32 x 0.2) = X

46.32 + 3.474 + 9.264 = X

49.79 + 9.26 = X

59.05 = X

Thus, the total amount that I must pay is $ 59.05.

Answer:

b

Step-by-step explanation:

trust

[tex]\huge\mathfrak\purple{answer}[/tex]

[tex]3x + 5x= \red{56} \\ 8x = \red{56} \\ x = \frac{56}{8} \\ x= \red{7}[/tex]

(Mark me brainliest if you're satisfied with the answer :))

Answer:

10 feet 5 inches long

Step-by-step explanation:

12 inches = 1 foot

11 inches + 6 inches = 17 inches = 1 foot 5 inches

1 foot 5 inches + 5 feet + 4 feet = 10 feet 5 inches

Therefore, the walking board is 10 feet 5 inches long