Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)?
O 64,0)
O (-2,0)
O (0, 2)
O (4,-2)

Answer:

[tex]f(x) = -3x+4[/tex]

Step-by-step explanation:

We can use the form [tex]y=mx+b[/tex] to find the linear function.

From [tex]f(2)=-2[/tex] , we can write:

[tex]-2=2m+b[/tex]

From [tex]f(1)=1[/tex] , we can write:

[tex]1=m+b[/tex]

To find for [tex]m[/tex], we can substract the second equation from the first:

[tex]2m+b-(m+b) = -2-1[/tex]

[tex]2m+b-m-b=-3[/tex]

[tex]m=-3[/tex]

To find for [tex]b[/tex], we can use substitution:

[tex]1 = m+b[/tex]

[tex]1 = -3+b[/tex]

[tex]b=4[/tex]

∴ [tex]f(x) = -3x+4[/tex] is the linear function.

Hope this helps :)

Step-by-step explanation:

1st digit : 1 / 2 / 4 / 5

4th digit : 0 / 2 / 4 / 6 / 8

Total number of sets = 4 * 10 * 10 * 5 = 2000.

Answer:

Step-by-step explanation:

Remark

It's a right triangle so you can use a^2 + b^2 = c^2

a = 3

c = 5

3^2 + b^2 = 5^2         Expand

9 + b^2 = 25              Subtract 9 from both sides

b^2 = 25 - 9

b^2 = 16                     Take the square root of both sides.

√b^2 = √16

b = 4

Answer:

5/6

Step-by-step explanation:

If you minus 1 1/2 from 2 1/3 you get 5/6 left.

Please mark brainliest.

5/6 cups of more chocolate chips should be added to the batter.

Given that, the recipe calls for [tex]2\frac{1}{3}[/tex] cups of semi-sweet chocolate chips. Selena has already put in [tex]1\frac{1}{2}[/tex] cups into the batter.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Number of more cups of chocolate chips should be added to the batter = [tex]2\frac{1}{3}-1\frac{1}{2}[/tex]

= 7/3 - 3/2

= 14/6 - 9/6

= (14-9)/6

= 5/6

Therefore, 5/6 cups of more chocolate chips should be added to the batter.

To learn more about the fractions visit:

https://brainly.com/question/10354322.

#SPJ5

Answer:

30

Step-by-step explanation:

The rise is the space between the two points vertically.

We can take the two y points (60 and 120) and find the difference between the two. 120 - 60 = 60 between the two. That means the rise = 60.

The run is the difference between the two points horizontally. We can take the two x points (4 and 2) and find the difference between the two. 4 - 2 = 2. The run = 2. Rise/run = 60/2. This can be simplified to 30/1 or 30.

Answer: 2

Step-by-step explanation:

The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.

Recall :

Slope = Rise / Run

From the graph :

Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6

Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3

The slope of the graph can be expressed thus :

Therefore, the slope of the line in the graph attached is 2

Learn more :https://brainly.com/question/18405415

Answer:

15/4

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

log2x-log(x-3)=1

log(2x/x-3)=1

2x/x-3=10¹

2x/x-3=10

2x=10x-30

10x-2x=30

8x=30

x=30/8

x=15/4

Answer:

There are 0.475 pounds of apples in each tart.

I arrived in this number by dividing the total number of pounds by the total number of tarts made.

475 pounds divided by 1000 tarts is equal to 0.475 pounds per tart.

475 lbs/1000 tarts = 0.475 lbs/tart

So, if you are to bake a certain number of tarts and need to know the total number of pounds of apple needed to bake you can use this equation.

y = 0.475x

where y represents the total number of pounds needed to bake x number of tarts with a fixed 0.475 pounds per tart.

Step-by-step explanation:

Answer:

jguifutrdduturdrfuy

Step-by-step explanation:

Ans Measurement is the process of comparing and unknown physical quantity with a known or standard one.

Answer: 3 5/6

Step-by-step explanation:

A mixed number takes the whole number out of the improper fraction. The whole number 3 can be taken out of 23/6 (18/6). Then, there is a remainder of 5/6. Add the two together and the mixed number would be 3 5/6.

23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]

A fraction represents a part of a whole.

We have to write 23/6 as a mixed number

Divide the numerator (23) by the denominator (6) and write the result as a whole number plus a fraction

23 ÷ 6 = 3 with a remainder of 5

So, 23/6 is equal to 3 and 5/6 as a mixed number.

Hence, 23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ5

Answer:

C and A

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

......................

Answer:

10/50 - 1/5. The simplest form is 1/5

Hope This Helps!

Answer:

3

Step-by-step explanation:

start by added 24 to both sides to get

6x = 18

then divide 18 by 6 to get

x = 3

Answer:

x=3

Step-by-step explanation:

Get your constant -24 to the other side to isolate the 6x.

-24+24+6x=-6+24

6x=18

Now since the 6 is multiplied by the x to isolate the x further divide 6x by 6, make sure to divide both sides. It should look like:

6x/6=18/6

x=3

To prove the answer just plug in 3 into the orginal equation and if both sides are equal its correct.

Answer:

4 = 8b >> b = 1/2 or 0.5

Step-by-step explanation:

Answer:

I thik the answer is B.

Step-by-step explanation:

hope this helps

Answer:

c -4

I did the math

Answer:It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.

Case 1: Pasta

The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes :

Case 2: Sauce

chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes:

Answer :

The two equations are :

For pasta:

For sauce:

Step-by-step explanation:

Answer:

Y= 60 degrees.

Step-by-step explanation:

A traingle's three angles always equals 180 degrees. since the singular line on the triangle on the right mean the side are equal, the angles are also equal. 180 divided by 3 equals 60 degrees.

The baker would be able to make 465 cakes. Or D.

Because, 7 x 60 = 420. 60 ÷ 4 = 15. 15 x 3 = 45. 420 + 45 = 465.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]7d + d - 4d - 7 = 5d[/tex]

[tex]8d - 4d - 7 = 5d[/tex]

[tex]4d - 7 = 5d[/tex]

[tex]5d = 4d - 7[/tex]

Subtract sides 4d

[tex] - 4d + 5d = - 4d + 4d - 7[/tex]

[tex]d = - 7[/tex]

Thus the correct answer is Option three.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

45 miles

Step-by-step explanation:

Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula [tex]a^{2} +b^{2} =c^{2}[/tex]. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So [tex]c^{2}[/tex] = 2025. Find the square root of 2025. [tex]\sqrt{2025}[/tex] = 45. Hope this helped ^^

Answer:

3.5 scale factor

Step-by-step explanation:

if you multiply any number from triangle RST by 3 you get they answer of the other triangle.

Answer:

4 games

Step-by-step explanation:

23 - 3 = 20

20 / 5 = 4

Answer:

i believe it’s no. sorry if i’m wrong!

Step-by-step explanation:

Answer:

length: 11m. width: 5m. Hope this helps

Answer:

has 3 sides

The formula for sum of interior angles is S = (n - 2) * 180. Therefore, 1980° = (n - 2) * 180. or, (n - 2) = 1980 / 180 = 11. or, n = 13

Step-by-step explanation:

that should be the answer

ur welcome

hope it helps

Answer:

800 feet, if you do 200x4 you you would get 800 feet

Step-by-step explanation:

200x4