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Answer:

=3±√5

Step-by-step explanation:

Answer:

[tex] {(x - 3)}^{2} = 5 \\ x - 3 = \sqrt{5} \\ x = 3 + \sqrt{5} [/tex]

Step-by-step explanation:

The plus sign on the right side of the last equation should read "plus or minus".

Answer:

I believe it's C I had this on my test and I got it right

Step-by-step explanation:

The point of intersection occurs when the two graphs have equal values of  x and  y at the same time. There is only one solution, because two straight lines can only intersect once.

[tex]y =4x^2 + 8x + 3 , y = x + 5\\\\4x^2 + 8x + 3 = x +5\\\\4x^2 + 8x + 3 -x -5 = 0\\\\4x^2 +7x -2 =0\\\\4x^2 + 8x -x - 2 = 0\\\\4x(x + 2) -1(x+2) = 0\\\\(4x - 1)(x+2) =0\\\\4x -1 = 0 , x+2 =0\\\\x = \frac{1}{4}, -2[/tex]

[tex]x_1 = \frac{1}{4}, x_2 =-2[/tex]

[tex]y_1 = 4x^2 + 8x + 3 \\\\x_1 = \frac{1}{4}\\\\y_1 = 4(\frac{1}{4})^2 + 8(\frac{1}{4}) + 3 = \frac{1}{4} + 2 + 3 = \frac{1}{4} +5 = \frac{21}{4}\\\\y_2 = x+ 5\\x_2 = -2\\y_2 = -2 + 5 =3[/tex]

Answer :

[tex](x_1, y_1) = (\frac{1}{4} , \frac{21}{4})\\\\(x_2,y_2) = (-2, 3)[/tex]

Answer:

(- 2, 3 ) and ([tex]\frac{1}{4}[/tex], [tex]\frac{21}{4}[/tex] )

Step-by-step explanation:

Given the 2 equations

y = 4x² + 8x + 3 → (1)

y = x + 5 → (2)

Substitute y = 4x² + 8x + 3 into (2)

4x² + 8x + 3 = x + 5 ( subtract x + 5 from both sides )

4x² + 7x - 2 = 0 ← in standard form

(x + 2)(4x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

4x - 1 = 0 ⇒ 4x = 1 ⇒ x = [tex]\frac{1}{4}[/tex]

Substitute these values into (2) for corresponding values of y

x = - 2 : y = - 2 + 5 = 3 ⇒ (- 2, 3 )

x = [tex]\frac{1}{4}[/tex] : y = [tex]\frac{1}{4}[/tex] + 5 = [tex]\frac{21}{4}[/tex] ⇒ ([tex]\frac{1}{4}[/tex], [tex]\frac{21}{4}[/tex] )

Answer:

A. A trapezoid

Hope this helps!!

Answer:

y-axis

Step-by-step explanation:

It lies on the vertical y-axis

Answer:

The simplified expression is

2x2+7x−13.

Step-by-step explanation:

Explanation:

Since this isn’t an equation, but rather an expression, it can only be simplified, not evaluated.

So let’s simplify it.

First distribute the

t (x2−1)

⇒3x2−3−(x2−7x+10)

Distribute the negative sign and drop the parentheses

:⇒3x2−3−x2+7x−10

Combine like terms:

⇒2x2+7x−13

Answer:

47 degrees

Step-by-step explanation:

This is a parallel line, and this sort of angle is known as an alternate angle, which is a z shaped angle (can be a Z either way). Alternate angles are equal, therefore x=47 degrees too. Hope this helps :)

Answer:

The correct answer is B) [68.2, 92.0]

Step-by-step explanation:

This is from usatestprep:

Given a normally distributed random variable X with mean and standard deviation , invNorm (p, , ) = x: P(X < x) = p.Because of the symmetry of the normal distribution about the mean, the bounds of the interval (x1, x2) centered at the mean, such that P(x1 < X < x2) = a arex2 = invNorm (0.5 +a2, , ); x1 = - (x2 - )Here x2 = invNorm (0.5 +0.502, 80.1, 17.7) = 92.04x1 = 80.1 - (92.04 - 80.1) = 68.06Rounded to the nearest tenth, the required interval is [68.1, 92.0].

Answer:

A

Step-by-step explanation:

$9-$5x

b doesnt have an x to add all the weeks together

c is x muitiplyed by 5 before subtracting from nine

d well there is no 95 in the equation :)

The green object below, is best defined as a Ray named AC.

In geometry, a ray is a part of a line that consists of a single initial point called the endpoint and extends infinitely in one direction. It can be thought of as a half-line, with one end point and the other end extending infinitely.

Rays are named using two points, with the endpoint being mentioned first.

Here, in the figure the green line has one point A and the next C and it is further extending.

Thus, the Green line is a Ray name as ray AC.

Learn more about ray here:

https://brainly.com/question/13144568

#SPJ2

Answer: 118 degrees

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

So...

180 - (42+20) = 118 degrees

Answer:

given,

angles of triangle= 42°, 20° , x(let)

we know,

The sum of interior angles of triangle is 180°

so,

42°+20°+x=180°

62°+x=180°

X=180°-62°

X= 118°

Hence,the other angle is 118°

Answer:Sara hina and Arslan Have RS79.4,RS 72.4 and RS238.2 respectively.

Step-by-step explanation:

Step 1

Let the amount that hina has be x

the amount that sara has be represented as  7+x

and the amount that Arslan have be represented as 3(7+x)

such that the total amount in their wallet which is 390 can be expressed as

x+7+x + 3(7+x)=390

Step 2

Solving

x+7+x +21+3x=390

5x+28=390

5x==390-28

x=362/5=72.4

Hina has RS 72.4

Sara =7+x==72.4+77= RS 79.4

Arslan =3(7+x)=3 x 79.4=RS 238.2

Answer:

a) Slope is -4/3 y-intercept is 2

b) Slope is 2 y-intercept is -1

Step-by-step explanation:

y=mx+c

m=gradient (or in this case slope)

c=y-intercept

Answer:

22. 3/8

23. 3/5

24. 0

Step-by-step explanation:

turn the 1 into a fraction for each of the problems.

for 22. it would be 8/8 because also trying to make the denominators the same.

8/8 - 5/8 = 3/8

try 23 and 24 now!

Answer:

I believe the answer would be 3v2+4v+5

Step-by-step explanation:

d=100° <------opposite angle of a parallelogram are equal

then c=96°

Answer:

2 is the answer

Step-by-step explanation:

Answer:

The diagonal length is the square root of 128 so 11.31 inches

Answer:

222 cm

Step-by-step explanation:

To find the area of the square we multiply length and height.

15x12 = 180

For the triangular part of the trapezoid we multiply height by width and divide by 2.

12x7 = 84 / 2 = 42

Add the two sums and we get 222 cm.

180 + 42 = 222

Answer:

1 yard by 9 yards

2 yards by 8 yards

3 yards by 7 yards

4 yards by 6 yards

Step-by-step explanation:

the perimeter of the rectangular yard needs to be 20 yards

Perimeter of a rectangle = 2 x ( length + width)

20 = 2 x ( length + width)

( length + width) = 20 /2

( length + width) = 10

The sum of the length and width should equal 10

Possible dimensions that would equal 10 are :

1 yard by 9 yards

2 yards by 8 yards

3 yards by 7 yards

4 yards by 6 yards

Answer:

Step-by-step explanation:

When we are creating a histogram it's best to create a range for the different variables that are available.

So for the sake of covering all the possible ranges from 1 - 22, we should divide it into 5 categories.

0 - 5        

6 - 10  

11 - 15

16 - 20

21 - 25

Now that we have a set of ranges for the different variables, we can find the frequencies.

0 - 5  : 3      

6 - 10 : 2

11 - 15 : 3

16 - 20 : 1

21 - 25 : 3

Since we have this we just add it to the histogram.

It should look like the image attachted below, I hope this helps :)

Answer:

here its my work from the test if its wrong sry but i think its write

Step-by-step explanation:

Answer:

8 girsl can sing

8 girls cannot sing

Total number of girls = 16

Step-by-step explanation:

The ratio of girls who csan sing to girls who cant sing is 1:1

Which means the number of girls who can sing and cannot sing are equal .

IF the number of girls who can sing is 8 then the number of girls who cant sing is also 8.

8:8

Dividing both sides by 8 gives

1:1

The total number of girls would be (8+8= )16.

Answer:

Step-by-step explanation:

Answer:

the answer is A because the height is 40 feet and the ground is 26°

Answer:

We can't see the image of the spinner. So let's solve this in a general way.

Let's assume that the probability of landing on E is:

P(E)

And the same for all the letters, we will have:

P(A), P(B), P(C), P(D).

Then, the probability of the spinner landing on E for the first spin is just P(E).

Now, the probability of landing on either C or D is: P(C) + P(D)

The joint probability, thus, the probability of both events happening is:

P = P(E)*(P(C) + P(D))

Now, if each letter has the same probability (and we have 5 of them)

Then:

P(E) = 0.2

P(C) = 0.2

P(D) = 0.2

Replacing that in the equation we would get:

P = 0.2*(0.2 + 0.2) = 0.2*0.4 = 0.08

Answer:

121 π

Step-by-step explanation:

A= π * r^2

r^2 = 121 * π

Answer:

this is easy. we know that he spent $19 total, 1 coffee that costed $5, and that each cookie costs $2. all you have to do is subtract 5 from 19 and divide the remaining amount of money (14) by 2. this makes 7 the amount of cookies Bill bought.