3) Which graph represents a function?
X
2
10

Answer: x=-3

Step-by-step explanation:

First let's eliminate the square root

[tex](\sqrt{x^2-5x+2})^2=(\sqrt{x^2+17})^2\\x^2-5x+2=x^2+17[/tex]

Now subtract [tex]x^2\\[/tex] from both sides

[tex]x^2-5x+2-x^2=x^2+17-x^2\\-5x+2=17[/tex]

Subtract 2 from both sides

[tex]-5x+2-2=17-2\\-5x=15[/tex]

Finally divide both sides by -5

[tex]\frac{-5x}{-5} =\frac{15}{-5} \\x=-3[/tex]

Use the slope formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.

[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]

We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.

[tex] \large \boxed{y = mx + b}[/tex]

The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.

[tex] \large{y = - \frac{7}{6} x + b}[/tex]

Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:

[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]

Answer

Hope this helps and let me know if you have any doubts! Good luck on your assignment!

Answer:

6

Step-by-step explanation:

Foot long = 1 foot

6 / 1 = 6 foot pieces

Answer:

9/26

Step-by-step explanation:

Im sorry, but probablity is quite hard to explain, but I'll try my best. So what you know is that there are a total of 26 students right? Out of these 25, 14 have at least a cat, and 7 have at least a dog. But 5 of them have a cat and a dog. This means that 14-5, and 7-5, are for only a cat and only a dog respectively. So, people with only a cat don't have a dog, meaning that 14-5, which is 9 people only have a cat. Therefore, out of the 25 people, only 9 don't have a dog, making the probablitly 9/25.

:)))))))))))))))))))))))))))))

Answer:

Exponential function have a horizontal asymotote. The equation of the horizontal asymptote is y=0.Step-by-step explanation:

Answer:

(2y+3)

Step-by-step explanation:

Step-by-step explanation:

4x+11+8x+1=180 (the two angles given is supplementary angles)

11x+12= 180

11x=168

x=168/11

x=15.27

please give brainly if it helps

Answer:

x = 14

Step-by-step explanation:

Same side interior angles are supplementary.

Therefore ,

              ( 4x + 11)° + ( 8x + 1 )° = 180 °

                  4x + 11 + 8x + 1 = 180

                       12x + 12 = 180

                        12x = 180 - 12

                             12x = 168

                                 x = 14

Answer:

P(E)=56256=732.  Step-by-step explanation:

Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row

Answer:

-2 (x + 3z) + 4x - 3y + 2z​

-2x-6x+4x-3y+2z

2x-4z-3y

hope it helps...

have a nice day!

Answer:

please answer is then you thanks me

Step-by-step explanation:

-2(x + 3z) + 4x - 3y +2z

-2x -6z + 4x - 3y + 2z

=2x - 4z - 3y

Answer: x=10-y

Step-by-step explanation:

Answer:

x - 8>-4-x

Step-by-step explanation:

Looking at x - 8>-4-x

Collect the like terms;

x+x > -4 + 8

2x < 4

x > 4/2

x < 2

Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4

Answer:

16=/-4+3+2

16=/-1jhcdf why

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Answer:

[tex]4(3x)^{\frac{3}{2} }[/tex]

Step-by-step explanation:

Answer:

0.00000003

Step-by-step explanation:

2+ 7 * 4 - 5 = 25

(3/6) ^ 25 = 0.00000003

Answer:

I believe it is D

Step-by-step explanation:

I used desmos

Answer:

D

Step-by-step explanation:

Due to the coordinate being positive in both x and y, then you know by putting the numbers in the equation that they will bot subtract from their variable

Solution :

Given the average range of the holes drilled = 0.10 cm

The average diameter of the holes drilled = 0.25 cm

The sample size = 4

For the sample size of 4, the factor for control limit for the range ([tex]D_4[/tex]) = 2.28  (From the table of constants for X-bar and R-chart)

The upper control limit for the R-chart = R-bar x [tex]D_4[/tex]

                                                                = 0.10 x 2.28

                                                                = 0.228

Therefore, the answer is greater than 0.202 but less than or equal to 0.302

Answer:

x=93°

Step-by-step explanation:

the lower left interior angle of the triangle is 39° because it is an alternate-interior angle to the one marked as 39°

the lower right interior angle is 180-132, which is 87°

therefore, x=93° because the three angles must add to 180°

Answer:

10

Step-by-step explanation:

Answer:

Jason - 9.375 miles per hour

Kevin -7.875 miles per hour

Step-by-step explanation:

Let Jason’s running speed be x miles per hour

Kevin runs 1.5 miles per hour less;

so his running speed will be (x-1.5) miles per hour

At any point, distance = speed * time

Their running time is same here;

Jason’s running time will be 5/x

Kevin’s running time will be 4.2/(x-1.5)

These times are equal;

So;

5/x = 4.2/(x-1.5)

5(x-1.5) = 4.2x

5x - 7.5 = 4.2x

5x-4.2x = 7.5

0.8x = 7.5

x = 7.5/0.8

x = 9.375 miles per hour

So kevin’s speed will be 9.375 - 1.5 = 7.875 miles per hour

Answer: 5.5. if you divide you will clearly see it is 5.5 so D

Step-by-step explanation:

Answer:

22 units

Step-by-step explanation:

split it into 3 sections, there are two sections of 2x3 and one of 1x10, together they make 22 units

Dividing each term in the given series by 0.315 reveals a simple geometric sum,

0.315 (1 + 1/1,000 + 1/1,000,000 + …)

or

0.315 (1 + 1/10³ + 1/10⁶ + …)

or

[tex]\displaystyle 0.315 \sum_{n=0}^\infty \frac1{10^{3n}} = 0.315 \sum_{n=0}^\infty \frac1{1000^n}[/tex]

i.e. a geometric sum with a common ratio of 1/1,000. I'm not sure what your instructor expects exactly, but you may already know that

[tex]\displaystyle a\sum_{n=0}^\infty r^n = \frac a{1-r}[/tex]

if |r | < 1. This is the case here, so

0.315 (1 + 1/1,000 + 1/1,000,000 + …) = 0.315 / (1 - 1/1,000)

… = (315/1000) / (999/1000)

… = 315/999

… = 35/111

Step-by-step explanation:

x=7 (given)

2x=14 (divide)

2x+5-5=19-5 (subtraction property of equality)

2x/2=14/2 (divide)

2x + 5=19 (division property of equality)

Answer:

The minimum is 59/12

Step-by-step explanation:

you should calculate the -b/2a = -7/6

you should put -7/6 in the x variable

Answer: 0.6

Step-by-step explanation:

Given

There are 3 women and 3 men available to form a 2 member committee.

No of ways, a man can be chosen are [tex]3[/tex]

Similarly, no of ways a woman can be chosen are 3

Therefore, probability of choosing 2 members i.e. 1 man and 1 women is

[tex]\Rightarrow P=\dfrac{3}{6}\times \dfrac{3}{5}[/tex]

If the order matter, then

[tex]\Rightarrow P=2\times \dfrac{3\times 3}{6\times 5}\\\\\Rightarrow P=0.6[/tex]

The probability that 1 woman and 1 man will be chosen is "0.6".

According to the question, the club has nominated:

Now,

→ The number of ways to select two persons from 6 will be:

= [tex]\binom{6}{2}[/tex]

hence,

The probability that one woman and one man will be chosen will be:

→ [tex]P(1 \ women \ and \ 1 \ women) = \frac{\binom{3}{1} \binom{3}{1}}{\binom{6}{2}}[/tex]

                                              [tex]= 3\times \frac{3}{15}[/tex]

                                              [tex]= \frac{9}{15}[/tex]

                                              [tex]= 0.6[/tex]

Thus the above answer is right.

Learn more:

https://brainly.com/question/13419138

please attach a diagram