Question 1 options:
x2 +x − 4 = 0
You will solve this using the Quadratic Formula.

First, what are the values of a, b, and c?

a =

Answers

Answer 1

Answer:

x = 1.56  or x = -2.56

Step-by-step explanation:

From the equation;

x2 +x − 4 = 0

a = 1 , b = 1, and c = -4

x = (-b ± √(b² -4ac))/2a

  = (-1 ± √(1²- 4×1×-4))/2

  = ( -1 ± √(17)/2

  = (-1 ± 4.12)/2

  = (-1 + 4.12)/2 or (-1 - 4.12)/2

  x = 1.56  or x = -2.56


Related Questions

Olivia is making bead bracelets for her friends. She can make 3 bracelets in 15 minutes.What does the proportionality constant represent in this situation?

Answers

Answer:

The amount of time it takes for her to make 1 bracelet.

Step-by-step explanation:

You can set up an equation as 3k = 15, and then solve it by dividing by 3 on both sides, getting an answer of 5.

Answer:

Step-by-step explanation:

The proportionality constant of 5 minutes per bracelet means it takes Olivia 5 minutes to make 1 bracelet.

a rectangular Garden has a length of 6.8 M and a perimeter of 20.6 M what is the width of the garden​

Answers

Answer:

First, you add 6.8 and 6.8 together, since it's a rectangular garden and the length is the same on both sides of the rectangle. This will equal 13.6. Then you subtract 13.6 from 20.6. You will get 7. Divide this in half and you will get 3.5. 3.5 is the width.

Step-by-step explanation:

Find the slope of the line through each pair of points.

(-14, -18), (6, 18)​

Answers

Answer:

9/5

Step-by-step explanation:

To find the slope, use the slope formula.

[tex]m = \frac{y_2 - y_1}{x_2-x_1} = \frac{18 - -18}{6--14} = \frac{36}{20} =\frac{9}{5}[/tex]

solve the sysyem of equations 3x+y=3 x+y=2

Answers

Answer:

{x = 1/2 , y = 3/2

Step-by-step explanation:

Solve the following system:

{3 x + y = 3 | (equation 1)

{x + y = 2 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 x + y = 3 | (equation 1)

{0 x+(2 y)/3 = 1 | (equation 2)

Multiply equation 2 by 3:

{3 x + y = 3 | (equation 1)

{0 x+2 y = 3 | (equation 2)

Divide equation 2 by 2:

{3 x + y = 3 | (equation 1)

{0 x+y = 3/2 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = 3/2 | (equation 1)

{0 x+y = 3/2 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 1/2 | (equation 1)

{0 x+y = 3/2 | (equation 2)

Collect results:

Answer:  {x = 1/2 , y = 3/2

Answer:

[tex]\large\boxed{x=\dfrac{1}{2}\ and\ y=1\dfrac{1}{2}\to\left(\dfrac{1}{2},\ 1\dfrac{1}{2}\right)}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}3x+y=3\\x+y=2&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}3x+y=3\\-x-y=-2\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=1\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=\dfrac{1}{2}}\\\\\text{Put the value of x to the second equation:}\\\dfrac{1}{2}+y=2\qquad\text{subtract}\ \dfrac{1}{2}\ \text{from both sides}\\\boxed{y=1\dfrac{1}{2}}[/tex]

Diane Has to give medicine to her cat every morning for the next 21 days. How many weeks is this?

? Weeks

Answers

Answer:

it would be 3 weeks because there are 7 days in a wekk so if u divide 21 by 7 it would give u 3

Step-by-step explanation:

1 week = 7 days

weeks = 21/7 days

Weeks = 3

21 days is 3 weeks.

what is the product of (a + 3)(a - 2)

Answers

Answer: [tex]a^2+a-6[/tex]

Step-by-step explanation:

To solve the exercise you must apply the following proccedure:

- Apply the distributive property.

- Keepn on mind that when you multiply two powers with equal base, you must add the exponents.

- Add like terms.

Then:

[tex](a)(a)-(a)(2)+(3)(a)-(3)(2)=a^2-2a+3a-6=a^2+a-6[/tex]

Answer:

[tex]\large\boxed{(a+3)(a-2)=a^2+a-6}[/tex]

Step-by-step explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

[tex](a+3)(a-2)=(a)(a)+(a)(-2)+(3)(a)+(3)(-2)\\\\=a^2-2a+3a-6\qquad\text{combine like terms}\\\\=a^2+a-6[/tex]

jorge solves the equation 4x-(x+2)+6

Answers

Answer:

Step-by-step explanation:

2x+6

<3

Callie

Answer:

The equation that is solved by George is

=4 x - (x+2) +6

 =4 x -x -2 +6-------Using Distributive property of Multiplication with respect to Addition→ a×(b+c)=a×b+a×c

→Adding and subtracting like terms

=3 x+4

Math pls help ASAP !

Answers

The circumference is 6 and the arc is 1.

This means that the arc is 1/6 of the circumference.

A full circle is 360 degrees, since the arc is 1/6 of the circle, the central angle would be 1/6 of 360.

360 x 1/6 = 60

The central angle is 60 degrees.

What are the x intercepts of the quadratic function? Y=-x^2+2x-1

Answers

Answer:

x = 1

Step-by-step explanation:

Given in the question the equation

y = -x² + 2x - 1

To find the x-intercept, substitute in 0 for y

0 = -x² + 2x - 1

To find value of x use quadratic equation

x = -b ± √b²-4ac / 2a

  here a = -1

           b = 2

           c = -1

x1 = -2 + √2²-4(-1)(-1) / 2(-1)

   = -2 + 0 / -2

   = -2 / -2

   = 1

x2 = -2 - √2²-4(-1)(-1) / 2(-1)

   = -2 - 0 / -2

   = -2 / -2

   = 1

What is the value of X in the diagram

Answers

Answer:

X = 25.28

Step-by-step explanation:

By Pitagoras Theorem:

9^2 + Y^2 =24^2

81 + Y^2 = 576

Y^2 = 495

Y = 22.25

Now Y is one catet for to find X

X^2 = 12^2 + 22.5^2

X^2 = 144 + 495

X^2 = 639

X = 25.28

Best regards

Answer:

x = 32

Step-by-step explanation:

The segments formed by the angle bisector will form a correct proportion when paired with their adjacent triangle sides

so

9/24 = 12/x

Cross multiply

9x = 24 * 12

9x = 288

 x = 32

The value of a car decreases as shown in the table below. Which statements are true? Check all that apply.

Answers

well.. what are the statements?

Answer: The function that best represents the data is f(x)=24,512(0.755)^x.

The function decrease indefinitely.

It is reasonable to interpolate to the value of the car at 4.5 years.

Step-by-step explanation:

took the test

The difference of two numbers is 15. The product of the numbers is 700. What are the two numbers?

Answers

The difference of two numbers is 15, and their product is 700. The numbers are 25 and 10.

The two numbers are 25 and 10.

Let's denote the two numbers as x and y.From the given information, we have the equations x - y = 15 and xy = 700.Solving these simultaneous equations, we find x = 25 and y = 10.

The two numbers are 35 and 20, or -20 and -35.

The problem states that the difference of two numbers is 15, and their product is 700. Let's denote the two numbers as x and y.

We have the following system of equations:

1) x - y = 152) x * y = 700

From equation (1), we can express x in terms of y:

x = y + 15

Substituting this into equation (2) gives:

(y + 15) * y = 700y^2 + 15y - 700 = 0

To solve this quadratic equation, we use the quadratic formula: y = (-b ± √(b² - 4ac)) / 2a

Here, a = 1, b = 15, and c = -700. Plugging in these values, we get:

y = (-15 ± √(15² - 4 * 1 * -700)) / 2 * 1y = (-15 ± √(225 + 2800)) / 2y = (-15 ± √3025) / 2y = (-15 ± 55) / 2

We have two solutions:

y = (40) / 2 = 20y = (-70) / 2 = -35

The corresponding values for x are:

When y = 20, x = y + 15 = 35When y = -35, x = y + 15 = -20

Therefore, the two pairs of numbers are (35, 20) and (-20, -35).

5 + (7-7) + 4 is what property. A: identity property B: associative property

Answers

Answer:

A

Step-by-step explanation:

The answer is A identity property

Which lines in the graph have a slope greater than 1 but less than 2?

line 1

line 2

line 3

line 4

line 5

Answers

I think that is line 5

Answer:

Lines 3 & 4

Step-by-step explanation: To find slope you calculate rise/run.

Line 1: 6/2= 3

Line 2: 6/3= 2

Line 3: 6/4= 1.5

Line 4: 6/5 = 1.2

Line 5: 6/6= 1

Lines 3 and 4 are the only two that have a slope that fall between 1 and 2. Notice it said greater than and less than but not equal to.

Show work please!!! Solve the equation by completing the square. If necessary, round to the nearest hundredth.
x^2-18x=19

A. 1;19
B.-1;19
C.3;6
D.-3;1

Solve x^2-81=0

A.0
B.-9
C.-9,9
D.9

Answers

Answer:

1. B 2. C

Step-by-step explanation:

1. x^2-18x+(18/2)^2=19+(18/2)^2

(x-18/2)^2=100

(x-9)^2=100

x1= -1 x2= 19

2. x^2=81

x=+-9

x1=-9 x2=9

In a lab, a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio of the amount of the 30% solution to the amount of 5% solution used to create the 10% solution? 1:3 1:4 1:5 1:6

Answers

Answer:

  1 : 4

Step-by-step explanation:

Let x represent the amount of 30% solution for 1 unit of 5% solution. Then the amount of acid in the mix is ...

  0.30x + 0.05·1 = 0.10·(x +1)

  0.30x + 0.05 = 0.10x + 0.10 . . . . eliminate parentheses

  0.20x = 0.05 . . . . . . . . . . . . . . . . subtract 0.05+0.10x

  x = 0.05/0.20 = 1/4

That is, the ratio x : 1 is 1 : 4.

Answer:

The ratio of the amount of the 30% solution to the amount of 5% solution will be 1 : 4.

Step-by-step explanation:

Suppose, the amount of 30% acid solution is [tex]x[/tex] and the amount of 5% acid solution is [tex]y[/tex].

So, the total amount of the mixture [tex]= x+y[/tex], which is 10% acid solution.

Amount of acid in 30% solution [tex]= 30\%\ of\ x=0.30x[/tex]

Amount of acid in 5% solution [tex]=5\%\ of\ y= 0.05y[/tex]

Amount of acid in the mixture [tex]=10\%\ of\ (x+y)=0.10(x+y)[/tex]

Now, the equation will be......

[tex]0.30x+0.05y=0.10(x+y)\\ \\ 0.30x+0.05y=0.10x+0.10y\\ \\ 0.30x-0.10x=0.10y-0.05y\\ \\ 0.20x=0.05y\\ \\ \frac{x}{y} =\frac{0.05}{0.20} =\frac{5}{20}=\frac{1}{4}\\ \\ x:y=1:4[/tex]

So, the ratio of the amount of the 30% solution to the amount of 5% solution will be 1 : 4.

1. Find the area of the composite figure.
2. The previous diagram represents a scale drawing of a hexagonal garden. The scale factor is 1cm=0.5m. What is the area of the garden? A=a12m2 B=a16m2 C=a24m2 D=a240m2
3. For which shape would you use the formula (bh)+(1/2bh) to find the area?
4. Which shapes could this hexagon be decomposed into to find its area? Choose all that apply. A. Two trapezoids B. Six triangles C. One rectangle and two triangles D. Two parallelograms
5. Which formulas could be use to find the area of the composite shape? Choose all that apply. A=2bh A=2(1/2bh) A=bh+bh A=1/2bh+bh

Answers

The correct formulas for the composite shape are A. [tex]\( A = 2bh \)[/tex] and B. [tex]\( A = 2\left(\frac{1}{2}bh\right) \)[/tex].

1. Find the area of the composite figure.

You can use the formula for the area of a parallelogram: [tex]$A = bh$[/tex]. Since there are two parallelograms, you add their areas:

[tex]\[ A = 2bh \][/tex]

2. The previous diagram represents a scale drawing of a hexagonal garden. The scale factor is 1cm=0.5m. What is the area of the garden?

If the scale factor is 1 cm = 0.5 m, the area in the drawing needs to be scaled up. The scale factor squared is used for areas. Therefore,

[tex]\[ \text{Area in meters}^2 = (\text{Area in centimeters}^2) \times (\text{Scale factor})^2 \][/tex]

3. For which shape would you use the formula [tex]\((bh) + \left(\frac{1}{2}bh\right)\)[/tex] to find the area?

This formula represents the sum of the areas of a parallelogram and a triangle. So, you would use this formula for a shape that consists of both a parallelogram and a triangle.

4. Which shapes could this hexagon be decomposed into to find its area? Choose all that apply.

Since a hexagon has six sides, it can be decomposed into various combinations of shapes. All the given options are valid:

- A. Two trapezoids

- B. Six triangles

- C. One rectangle and two triangles

- D. Two parallelograms

5. Which formulas could be used to find the area of the composite shape? Choose all that apply.

The correct formulas for finding the area of the composite shape (made up of two parallelograms) are:

- A. [tex]\(A = 2bh\)[/tex]

- B. [tex]\(A = 2\left(\frac{1}{2}bh\right)\)[/tex]

So, the correct choices are A and B.

Plz help !!!!!!!!!!!!

Answers

Answer:  a) x² - 3x - 18 = 0

Step-by-step explanation:

[tex]\dfrac{x}{3}-\dfrac{6}{x}=1\\\\\\\text{Multiply everything by the LCD (3x) to clear the denominator:}\\\\\dfrac{x}{3}(3x)-\dfrac{6}{x}(3x)=1(3x)\\\\\\x^2-18=3x\\\\\\\text{Subtract 3x from both sides:}\\x^2-3x-18=0[/tex]


Solve the equation.

3.4 = –13.6 + (–3.4c) + 1.7c

Answers

Answer:

c= (-10)

Step-by-step explanation:

Simplify both sides of the equation then isolate the variable.

Answer:

c= 15.9

Step-by-step explanation:

the circumference of a circle is 34 pi. Find the diameter and radius ​

Answers

If the circumference is 34 Times PI that means that 34 is the diameter.

So that means that you can just divide the diameter by 2 to get the radius (Because the radius is half of the diameter.)

So the answer is the diameter is 34 and the radius is 17

Final answer:

The diameter of the circle with a circumference of 34π is 34 units, and the radius is half the diameter, which is 17 units.

Explanation:

The circumference of a circle is given by the formula C = πd, where C is the circumference, π (Pi) is approximately 3.14159, and d is the diameter of the circle. Given that the circumference of the circle is 34π, we can find the diameter by dividing the circumference by π:

d = C / π = 34π / π = 34

Therefore, the diameter is 34 units. The radius r is half of the diameter, so:

r = d / 2 = 34 / 2 = 17

Thus, the radius of the circle is 17 units.

Rewrite in standard form |x|-4=0

Answers

Answer:

x = ±4

Step-by-step explanation:

we are given  |x|-4=0

The first step is to add 4 on both sides of the equation;

|x|-4+4=0+4

|x|=4

Getting rid of the absolute symbol implies we have to add the positive and negative symbols to the right hand side of the equation;

x = ±4

How to find the mad of the set of data?

Answers

Answer:

add up all numbers

then divide that number by the amount of numbers.

Step-by-step explanation:

mad is basically finding the average of a set of numbers.

and how do you do that?

first, add up all numbers

ex: 1, 5,3,10,6,20,15,15,14  --> this adds up to 90.

then divide that number by the amount of numbers.

count how much numbers ehere are: there are 9 numbers.

divide 90 by 9 and the mad/average is 10.

plz give brainliestttt

Answer:

Here is an example..:

Find the M.A.D of the set of data

10.2 , 9.4, 11.3, 12.9

( so, we just have to add up all numbers )

10.2 + 9.4 + 11.3 + 12.9 = 43.8

Then we divide them by 4, you might be wondering..why 4?

that's because there are about 4 numbers in the data set.

So:

43.8

____= 10.95 (we found the mean! :D)

  4

After that, we just have to subtract the mean (10.95) to the same numbers (or the so called data set)

10.95 - 10.2 = 0.75

10.95 - 9.4 = 1.55

10.95 - 11.3 = 0.35

10.95 - 12.9 = 1.95

For our final step, we just add up all the difference, then,  divide it by 4 again.

0.75 + 1.55 + 0.35 + 1.95 = 4.6

                                          --------- = 1.15

                                              4

~hope this helps, have a good day/afternoon/night~

Ms. Oliver sells bookmarks for $0.90 each to raise money to purchase new library books. So far, she has collected a total of $69.12. Ms.Oliver uses the equation below to represent her bookmark sales. Which of the following could represent the number of bookmarks Ms.Oliver has sold so far?


0.96b=69.12

A) 7 bookmarks
B) 69 bookmarks
C) 68 bookmarks
D) 72 bookmarks

Answers

The answer to you question is = c) 68 bookmarks

The correct answer is D.

0.96 x 72 = 69.12

Hope this helps. Please mark brainliest and comment if correct.

a football player attempts two passes in overtime. each pass attempt results in a completion, an incompletion, or a turnover.

Answers

The correct answer is C) 7.

In order to determine the number of different outcomes for the two pass attempts in overtime, we need to consider the possibilities for each pass attempt. Let's break it down step by step:

For the first pass attempt, there are three possible outcomes: completion, incompletion, or turnover. Let's say the first pass attempt resulted in a completion.

For the second pass attempt, again there are three possible outcomes: completion, incompletion, or turnover. Since we are considering all possible outcomes, we will consider each possibility for the second pass attempt separately.

If the first pass attempt was a completion and the second pass attempt is also a completion, then we have one possible outcome.

If the first pass attempt was a completion and the second pass attempt is an incompletion, then we have one possible outcome.

If the first pass attempt was a completion and the second pass attempt is a turnover, then we have one possible outcome.

Now, let's consider the other possibilities for the first pass attempt.

If the first pass attempt was an incompletion and the second pass attempt is a completion, then we have one possible outcome.

If the first pass attempt was an incompletion and the second pass attempt is also an incompletion, then we have one possible outcome.

If the first pass attempt was an incompletion and the second pass attempt is a turnover, then we have one possible outcome.

Lastly, let's consider the remaining possibility for the first pass attempt.

If the first pass attempt was a turnover, then it does not matter what the outcome of the second pass attempt is, as the possession has already changed. Therefore, we have one possible outcome in this case.

Adding up all the possible outcomes, we have a total of 7 different outcomes for the two pass attempts in overtime.

Therefore, the correct answer is C) 7.

Complete question :-

A football player attempts two passes in overtime. Each pass attempt results in a completion, an incompletion, or a turnover. A) 8 B) 14 C) 7 D) 6

The vertex angle issoceles measure 40 what is the measure of angle base

Answers

Answer:

100

Step-by-step explanation:

Because it is an issoceles triangle, the sides are equal,making 40 on 1 side be the same on the other side, then since its not obtuse, it should add up to 180, subtract 80 from 180, and get the answer

if the surface area is 6.8ft what is the area in each triangle

Answers

1.7 ft2 If the surface area is 6.8 ft2 then 1.7ft2 x 4 =6.8FT2

The area of each Triangle is 1.7 ft².

What is Surface Area?

A 3-dimensional solid prism's surface area is determined by the form of its base. A prism's surface area is the total area occupied by the prism's faces. A prism is a flat-faced polyhedron. It lacks curves.

The surface area of a prism is the amount of total space occupied by the prism's flat faces. Determining a prism's surface area entails calculating the total space occupied by all the faces of that particular type of prism or the sum of the areas of all faces (or surfaces) in a 3D plane.

We have

Surface Area = 6.8 ft²

As, the Figure have 4 Triangle.

Then, the Area of each Triangle

= 6.8 / 4

= 1.7 ft²

Thus, the required Surface Area is 1.7 ft².

Learn more about Surface Area here:

https://brainly.com/question/28016184

#SPJ3

In similar polygon, corresponding angles should not have equal measures.

True or False

Answers

Answer: False

Step-by-step explanation: Similar means the ability for two shapes to be congruent to each other if dilated.

Also, corresponding angles are angles that have the same length. This means that this statement is indeed False.

PLZ HELP! Need this DESPERATELY! Worth 15 points and will mark Brainliest! Thx so much :)

Answers

Answer:

#1 (1,10),(2,9),(2,8),(4,7),(5,6),(6,5),(7,4),(8,3),(9,2),(10,1). #2 (1,18),(2,9),(3,6),(6,3),(9,2),(18,1)

Which of the following equations describes a relationship of inverse variation between input and out put

Answers

Answer:

option (A)

output  = constant / input

Step-by-step explanation:

Inverse relationship between two input and output means that they both moves in opposite directions, if one increases than other decreases.

Equation to describe relationship of inverse variation between input and output will be as following

  output ∝ 1 / input

 to remove this sign of proportionality

  output  = k / input

 where k is a constant

Write an equation of the line that is parallel to y = 1 2 x + 3 and passes through the point (10, -5). A) y = 2x - 15 B) y = -2x + 15 C) y = - 1 2 x Eliminate D) y = 1 2 x - 10

Answers

Answer:

B) y = -2x + 15

Step-by-step explanation:

[tex]\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2,\ \text{then}\\\\k\ \parallel\ l\iff m_1=m_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\=============================\\\\\text{We have the equation}\ y=\dfrac{1}{2}x+3\to m_1=\dfrac{1}{2}.\ \text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{We have the equation}\ y=-2x+b\\\\\text{Put the coordinates of the point (10, -5) to the equation and solve}\\\text{for}\ b:\\\\-5=-2(10)+b\\-5=-20+b\qquad\text{add 20 to both sides}\\15=b\\\\\text{Finally we have:}\\\\y=-2x+15[/tex]

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