Find the y-intercept and the vertex of y+-x^2+6x-8 using standard form

Answer:

-15

Step-by-step explanation:

22+(-37)

Let's solve

[tex]\\ \sf\longmapsto 2x^2+7x-15=0[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7\pm\sqrt{7^2-4(2)(-15)}}{2(2)}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7\pm\sqrt{169}}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7\pm13}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-7+13}{4}\:or \:\dfrac{-7-13}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{6}{4}\:or\:\dfrac{-20}{4}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{3}{2}\:or -5[/tex]

Subtract

[tex]\\ \sf\longmapsto 3/2-(-5)=3/2+5=13/2[/tex]

Option B

Answer:

Option (B.)

Step-by-step explanation:

Answer in the picture.hu

Answer:

Well according to the graph it took Elena 6 weeks to pay her brother back

Step-by-step explanation:

Well the slope is -3, techincially she’s giving back 3 dollars every week, it starts from 18 dollars borrowed.

3 dollars every week until 18 dollars is 6 weeks. Plus the graph shows that the line reaches 0 when it crosses the “6” in weeks

Answer:

$11.25

Step-by-step explanation:

1.25 × 9 = 11.25

Answer:

$11.25

Step-by-step explanation:

Answer:

-2×2+1/2×(-1×3+2/3)

-3/2×(-1/3)

3/6

Answer:

y = - 4/3x - 9

Step-by-step explanation:

Answer:

[tex]y = -\frac{4}{3}x - 9[/tex]

Step-by-step explanation:

The standard form of linear equation is: Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.

Given the linear equation in standard form, 8x + 6y = -54, we can transform this equation into its slope-intercept form, y = mx + b.

First, subtract 8x from both sides:

8x + 6y = - 54

8x - 8x + 6y = - 8x - 54

6y = -8x  - 54

Divide both sides by 6 to isolate y:

[tex]\frac{6y}{6} = \frac{-8x - 54}{6}[/tex]

[tex]y = -\frac{4}{3}x - 9[/tex] ⇒ This is the slope-intercept form where the slope, m = [tex]- \frac{4}{3}[/tex], and the y-intercept, b = -9.

Answer:

answer given in step by step...

Step-by-step explanation:

13x+13(x+1)+13(x+2)=312

13x+13x+13+13x+26=312

39x+39=312

39x=312-39

39x=273

x=7

first number=13x=13*7=91

second number=13(8)=104

third number=13(9)=117

Answer:

6:5

Step-by-step explanation:

divide both numbers by using gcd/ greatest common divisor

= 12:10/ 2

=6:5

please mark me as brainliest!!! Good luck with your tests!

Answer:

12

Step-by-step explanation:

there is no x in the question

The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.

Given that, Michael is making cookies. Each batch uses 3 cups of flour.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of batches of cookies be x.

Now, the inequality to represent the given situation is

3x+5<41

Subtract 5 on both sides of inequality, we get

3x<36

Divide 3 on both sides of inequality, we get

x<12

The number of batches of cookies Michael can make is x<12. Therefore, option 3 is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

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Answer:

77° is the answer

Step-by-step explanation:

hope it helps;)

The measure of angle [T] will be ∠T = 139°.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.

In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Given is a triangle TSU.

The sum of the angles of a triangle is 180 degrees. So, we can write -

(21x + 13) + 4x + (3x - 1) = 180

21x + 4x + 3x + 13 - 1 = 180

28x + 12 = 180

28x = 168

x = 168/28

x = 6

So -

∠T = 21x + 13 = 21 x 6 + 13 = 126 + 13 = 139

∠T = 139°

Therefore, the measure of angle [T] will be ∠T = 139°.

To solve more questions on angles and triangles, visit the link below -

brainly.com/question/18584968

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Answer: 9:6:15

Step-by-step explanation:

The ratio is Bill : Harvey : Ruth

We are told that bill and ruth both eat 24 sprouts together. The ratio for bill and Ruth would be 3:5

Add the ratios together to get 8

Then divide the amount (24) by 8

This gives you 3. Then times all he numbers in the ratio by 3 to get the answer ; 9 : 6 : 15

Answer:

ok im not sure but here is what i think the answer is

Step-by-step explanation:

answer 60466185

Answer:

98

Step-by-step explanation:

It is 98! x and the 98 degree angle are corresponding angles and m is parallel to n. dw I hate geometry too.

Answer:

-37

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(10)

Since the triangles are congruent then corresponding sides are congruent, so

EF = BC , that is

4x - 1 = 19 ( add 1 to both sides )

4x = 20 ( divide both sides by 4 )\

x = 5

and

DE = AB , that is

y - 6 = 8 ( add 6 to both sides )

y = 14

-------------------------------------------------------

(11)

Since the triangles are congruent the corresponding angles are congruent, so

∠ K = ∠ Y , that is

3x - 37 = 41 ( add 37 to both sides )

3x = 78 ( divide both sides by 3 )

x = 26 , then

∠ K = 3x - 37 = 3(26) - 37 = 78 - 37 = 41°

The sum of the 3 angles in Δ ZMK = 180° then

∠ Z = 180° - (41 + 112)° = 180° - 153° = 27°

So

∠ A = ∠ Z

2y + 7 = 27 ( subtract 7 from both sides )

2y = 20 ( divide both sides by 2 )

y = 10

------------------------------------------------------------------------

(12)

Since the triangles are congruent the corresponding sides and angles are congruent

DG = BS

4x - 11 = 25 ( add 11 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

∠ T = 180° - (56 + 21)° = 180° - 77° = 103°

Then

∠ H = ∠ T

7y + 5 = 103 ( subtract 5 from both sides )

7y = 98 ( divide both sides by 7 )

y = 14

Using the z-distribution, it is found that since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.

At the null hypothesis, we test if the proportions are the same, that is, their subtraction is 0, hence:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:

[tex]H_1: p_1 - p_2 \neq 0[/tex]

The proportions and their respective standard errors are given by:

[tex]p_1 = \frac{653}{1046} = 0.6343, s_1 = \sqrt{\frac{0.6343(0.3657)}{1046}} = 0.0149[/tex]

[tex]p_2 = \frac{791}{1327} = 0.5961, s_2 = \sqrt{\frac{0.5961(0.4039)}{1327}} = 0.0135[/tex]

For the distribution of the difference, the mean and the standard error are given by:

[tex]\overline{p} = p_1 - p_2 = 0.6343 - 0.5961 = 0.0382[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0149^2 + 0.0135^2} = 0.0201[/tex]

The test statistic is:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which [tex]p = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.0382 - 0}{0.0201}[/tex]

[tex]z = 1.9[/tex]

The critical value for a two-tailed test, as we are testing if two values are different, with a significance level of 0.01, is of [tex]|z^{\ast}| = 2.576[/tex]

Since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.

A similar problem is given at https://brainly.com/question/25728144

Answer:

8/h

Step-by-step explanation:

Quotient means division, so basically you are dividing 8 by h.

Answer:

8/H

Step-by-step explanation:

8/H - Just divide 8 by H

Answer:490

Step-by-step explanation:

Answer:

u need to use the quadratic formula

Step-by-step explanation:

I think this is about it

Answer:

81/256

Step-by-step explanation:

3/4*3/4*3/4*3/4

first multiply the numerators (3) together, which equals 81

then multiply the denominators (4) together, which equals 256

81/256 can't be simplified further

Answer:

[tex]\frac{3^4}{4^4} =\frac{81}{256}[/tex]

Reasoning:

According to exponent law:

[tex](\frac{a}{b} )^{x} =(\frac{a^x}{b^x} )[/tex]

Now apply this to your problem.

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

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

[tex](\frac{81}{256} )[/tex]

Answer:

the desired equation is y = (-3/2)x + 3

Step-by-step explanation:

Two points through which the graph passes are (0, 3) and (2, 0).  (0, 3) is the y-intercept.  Thus, the slope-intercept equation y = mx + b becomes

y=mx + 3.  Borrowing the coordinates of (2, 0) and substituting them into this last result, we get

0 = m(2) + 3,

which, after having been solved for m, gives us m = -3/2

and so the desired equation is y = (-3/2)x + 3.

Answer:

I'm not going to give the answer yet to see if you can figure it out.

Step-by-step explanation:

1. Find the place that your are rounding to. Ex: 6085

2. Then, look "nextdoor"; the number to the right of the number underlined. Ex: 6085

3. If this number is 1-4, then keep it the same. If it is 5-9, then add one to the digit to the left. Ex: 6085 becomes 6185

4. All of the digits to the right stay the same. Ones to the left become zero. Ex: 6185 becomes 6100.

I hope this helps!

Answer:

parallel, perpendicular are opposite

Answer:

PARALLEL PERPENDICULAR

Step-by-step explanation:

Answer:

3.25

Reasoning:

[tex]\frac{6.5}{2}[/tex]

[tex]3.25[/tex]