Hi can anyone help me with this question without the use of calculators please?

Hi Can Anyone Help Me With This Question Without The Use Of Calculators Please?

Answers

Answer 1

Answer:

[tex]\frac{11}{6}[/tex] units

Step-by-step explanation:

To find the x- intercepts let y = 0 , that is

6x² - 7x - 3 = 0 ← in standard form

(3x + 1)(2x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - [tex]\frac{1}{3}[/tex]

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Find the difference of the 2 x- intercepts using absolute value

distance = | [tex]\frac{3}{2}[/tex] - (- [tex]\frac{1}{3}[/tex] ) | = | [tex]\frac{3}{2}[/tex] + [tex]\frac{1}{3}[/tex] | = | [tex]\frac{11}{6}[/tex] | = [tex]\frac{11}{6}[/tex]


Related Questions

solve for y
2y-13=11

Answers

Answer:

y = 12

Step-by-step explanation:

2y - 13 = 11

add

2y = 24

divide

y = 12

2y   -   13   =   11

        + 13    + 13

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

2y   =  24

/2        /2

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

y      =  12

The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?

a. No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius.
b. Yes, the distance from the restaurant to Ada’s house is exactly 6 miles.
c. No, the distance from the restaurant to Ada’s house is 7 miles, which is greater than the 6-mile maximum radius.
d. Yes, the distance from the restaurant to Ada’s house is miles, which is less than the needed 6-mile radius.

Answers

Answer:

A.......No, the distance from the restaurant to Ada’s house is  miles, which is greater than the 6-mile maximum radius

Step-by-step explanation:

Using the distance between two points, it is found that the correct option regarding whether Ada’s house lie on or within the circle representing the area that gets free delivery is given by:

a. No, the distance from the restaurant to Ada’s house is [tex]\sqrt{41}[/tex] miles, which is greater than the 6-mile maximum radius.

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, we want to find the distance between the restaurant at the origin (0,0) and Ada's house at point (-4,5), hence:

[tex]d = \sqrt{(5 - 0)^2 + (-4 - 0)^2} = \sqrt{41} > 6[/tex]

Greater than 6 miles, hence option a is correct.

More can be learned about the distance between two points at https://brainly.com/question/18345417

James had $43 on his birthday he received $25. Write and solve and equation to find out how much money he has now.

Answers

Answer:

43+25=68

Step-by-step explanation:

What is the slope if you are given the following ordered pairs? (Simplify)
(-1,6) & (8,6)

Answers

Answer:

7/2

Step-by-step explanation:

y2-y1/x2-x1

(6-(-1)/8-6) = 7/2

i dont know the answer!

Carly went to walk her dog at 11:45 a.m. and got back home at 12:30 p.m. How long
was her walk

Answers

Answer:

45 minutes

Step-by-step explanation:

will give brainlist

Answers

Answer:

second answer

Step-by-step explanation:

yards is commonly used for large sparse area measurements

What would it be? thank you

Answers

Answer:

C = 43.98 inches; A = 153.94 square inches

Step-by-step explanation:

2*pi*(7)=43.98

pi*(7)^2=153.94

How do I solve x squared 3 + 4 when x = 6

Answers

Answer:

Step-by-step explanation:

3 + 4 x = 6

Plot:

Plot

Alternate forms:

4 x = 3

4 x - 3 = 0

Number line:

Number line

Solution:

x = 3/4

Given sin y = -4/5, where π < y < 3π/2, and cos x = 12/13, where 0 < x < π/2. Find the exact value of sin (x - y).

Please show all the exact steps in order I am really lost on how to solve this.

Answers

Answer:

Solution given:

sin y = -4/5

p/h=4/5

p=4

h=5

b=√{5²-4²)=3

cos y = b/h=-3/5

again

cos x=12/13

b/h=12/13

b=12

h=13

p=√(13²-12²)=5

sin x=p/h=5/13

now

sin[x-y]=sinxcosy-cosxsiny

=5/13×-3/5-(12/13×-4/5)=33/65 is your answer.

pls help me, i will actually give BRAINLIEST:

What is the transformation shown in the graph?

Answers

Answer:

Step-by-step explanation:

it's rotated by 90° about the origin , in a clock wise direction

In 2018 sienna invested 5000. The value of the invest,ent increases by 3%each year compounded weekly if she doesn't make additional transactions, what will be the value of her investment in 2025

Answers

Answer:

6168.02

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value - 5000

R = interest rate = 0.03

N = number of years = 7

m = Number of compounding = 52

5000 x ( 1.000577)^52 x 7 = 6168.02

Write an equation in slope-intercept form for the line that passes through the
given point and is parallel to the graph of the given equation.
(4, -6), y=-3/4x+1

Answers

Answer:

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

Step-by-step explanation:

The slope will be the same as the one in the given equation since they are parallel, you can substitute the x and y of the given point into the given equation, replacing the 1 with m to get m in the equation.

I hope this helps :)

a store offers a discount of 40 off any one regular-priced item. employees also get 10% off any purchases. in which order should the discounts apply so that the employee pays the least amount?
A. Employee discount then store discount
B. They are both the same
C. Store discount then employee discount

Answers

Let's say the price of an item is $1

Scenario #1 - 40% off $1  = 40 cents OFF

The discounted price = 60 cents

Now the 10% off of 60 cents

60-6 = 54 cents.

Scenario #2 - 10% of $1

The discounted price = 10 cents

100(cents) - 10 = 90 cents

Now the 40% off of 90 cents

90-36 = 54 cents

Let's try another value to confirm

Let's say the price of an item is $2

Scenario #1  - 40% off $2 = 80 cents OFF

200-80= 120 = $1.20

Now the 10% off of $1.20

120-12= 108 = $1.08

Scenario #2 - 10% off $2 = 20 cents OFF

200-20 = 180= 1.80

Now the 40% off of $1.80

180-72 = 108 = 1.08

With these two examples we can confirm either order

will give you the same savings.

Answer:

B. They are both the same

Step-by-step explanation:

Took the quiz

What is the perimeter of the quadrilateral ABCD ?
11
B.
А
8
.C
D
O
24
38
O
33
o
35

Answers

Answer:

option d. perimeter of quadrilateral=35

What is the area of the triangle?
24
7
25
units 2. Help me please

Answers

Answer:

area of triangle=1/2×base×height

area of triangle=1/2×24×7

area of triangle=84unit²

need help on geomtry homework

Answers

Answer:

Perimeter = 42 cm

Step-by-step explanation:

XY = 8 cm  because ΔWXZ ≅ ΔYZX

Perimeter = 8 + 14 + 20 = 42 cm

Fred is baking cookies for a school sale. It takes 3/4 cups of sugar to make on batch of cookies how many cups of sugar does he need to make 9 batches

Answers

Answer:

6 3/4 cups.

Step-by-step explanation:

Multiply 3/4 by 9.

Hope this helps!

Judah rides his bike 15 miles in 1/2 an hour.How many miles does he ride in one hour?

Answers

30 miles in one hour
1/2 and hour=30 minutes. 1 hour=60 minutes. 30*2=60. So, 15*2=30 must be the answer.

What is the slope of this line? Please awnser

Answers

Answer:

-1/2

Step-by-step explanation:

The rise is -1 and the run is 2, the slope is rise over run

I hope this helps :)

The answer should be -1/2

The radius of a circle is 3.8 feet find the diameter

Answers

Answer:

7.6

Step-by-step explanation:

radius is half the diameter so multiply 3.8 times 2.

Which system of equations is shown by the graph?

Answers

Answer:

y-x=15 and 25+2x=y

Step-by-step explanation:

Someone help me I will give a brainlist to whoever explains how to figure out the answer

The question is a model of rectangular stove top with four circular burners is shown the side length of the top stove and the diameter of the burners are labeled.which measurement is the best estimate of the area and square inches of the stove top that does not include the area of the burners?

Answers

Answer: see work

Step-by-step explanation:

Total area is 24x22=528

one circle area is (pi)3^2=9(pi)

that times 4 because of 4 circles =36(pi)

so the total are minus the circles now

in terms of pi the answer is 528-36(pi)

if pi = 3.14 the answer in 414.96

Which of the following could be the answer to a statistical question?
А 10
B Yes
C "December 18th"
D 2. 18. 32. and 40"
help I will mark you ​

Answers

Answer:

the solution would be 10 to the best of my knowledge

Which equation has a axis of symmetry of x=4 ?

Answers

I think you forgot to add the picture. However, any x = 4 equation will result in a graph with a vertical line on the x-axis. For example x = 20 will be a vertical line on x-axis 20.

Or, in a more difficult equation like this...

10x - 60 = 10

10x = 10 +60

10x = 70

x = 7,

where the graph looks like a vertical line with a point on the x axis on 7.

NO LINKS at all pls help

Answers

x= 24 on the first and 12 then 34

Answer:

1. 314.16, 2. 452.39, 3. 351.86

Step-by-step explanation:

Trust me I got you

Mila owns a small business selling used books. She knows that in the last week 83 customers paid cash, 16 customers used a debit card, and 41 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth

Answers

Answer:

the answer is 0.71

Step-by-step explanation:

it told me

The probability the next customer will pay with something other than a credit card is 0.71.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Number of customers paid cash = 83

Number of customers used a debit card = 16

Number of customers used a credit card = 41

Total number of customers = 140

The probability that the next customer will pay with something other than a credit card is

P(e) = (Number of customers paid cash + Number of customers used a  debit card) / Total number of customers.

⇒ [tex]P(e)=\frac{83+16}{140}[/tex]

⇒ [tex]P(e)=\frac{99}{140}[/tex]

⇒ [tex]P(e)=0.7071[/tex] ≈ [tex]0.71[/tex]

Hence we can conclude that the probability the next customer will pay with something other than a credit card is 0.71.

Learn more about probability here

https://brainly.com/question/16813543

#SPJ2

which sign do i use??/

Answers

the greater than symbol i presume

PLZ HELP! SERIOUS ANSWERS GET BRAINLIEST!!!

Answers

Exact Form:
√65

Decimal Form:
8.06225774

How do angles of depression and elevation relate when solving problems involving right triangles?

Answers

The relationship between the angle of elevation and the angle of depression is called alternate interior angles theorem. As such, these angles are congruent and equal. Hope this helps! Mark brainly please!

Help asap! 20 points
Consider the graph of f(x) below. The graph contains the points (0, 1) and (5, 4).


Write the equation of f(x), and classify the function as linear, quadratic, cubic, exponential, power, or logarithmic.

Answers

Answer:

f(x) = 3/5x + 1

Step-by-step explanation:

Change in y

Change in x

4 - 1

5 - 0

3

5

Is there a picture or something ?? Like to answer it
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