Use factoring to determine the x-intercepts and vertex of the quadratic function
y = 2x2 + 5x - 3 (pls answer)

Complete question is;

Alejandra correctly wrote the equation y – 3 = (1/5) (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Answer:

y – 3 = 2(x – 10)

Step-by-step explanation:

Since the original line is;

y – 3 = (1/5) (x – 10)

This means the slope is 1/5 and the x and y coordinates are (10, 3) respectively.

Now, if she changes the slope to 2 and it still passed through the same point, then it means it's x and y points are still (10, 3). Thus, the equation will now be;

y – 3 = 2(x – 10)

Answer:

for every minute it will cost 3 dollars

Step-by-step explanation:

c(x)=3x+2.00

The cost to get in the taxi is 2 dollars

The slope is 3

3x means that for every minute it will cost 3 dollars

Answer:

x(ax-1)-y(y+1)

Step-by-step explanation:

you have to group the like terms

ax^2-x-y^2-y

x(ax-1)-y(y+1)

I hope this helps

Answer:

How do you find the unknown angle of a triangle? To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The domain is the left side of the table

40% of a right angle into radian measure​ will be π/5.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

40% of a right angle.

We know that the right angle given in the form of radian will be as π / 2.

Then the 40% of the right angle will be given as,

⇒ 40% of π/2

⇒ 0.40 × π/2

⇒ 2/5 × π/2

⇒ π/5

40% of a right angle into radian measure​ will be π/5.

More about the angled link is given below.

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The rate of change is 7 because its 7 miles per hour

Answer:

5) 4а²+8ас=4а(а+2с)

6) 3m²-6mn=3m(m-2n)

7) ab-ac+yb-yc=a(b-c)+y(b-c)=(a+y)(b-c)

8) ab+ac+xb+c=b(a+x)+c(a+1)

Answer: 199 square yards

Step-by-step explanation:

If you break it down into 3 rectangles it’ll be easier to find the answer. Multiply it by H x W. First you do the 6 x 10. And then afterwards add the extra 5 to the 6 and it’ll make the

H = 11, and the W is 4. And then add the last 3 to H and it’ll make it 19 and the last W is 5

6 x 10 = 60

11 x 4 = 44

19 x 5 = 95

Total of 199

Hope this helps :)

Answer:

The lowest score could be 85

Step-by-step explanation:

Let the  lowest score = x

(x + 89 + 92 + 94)/4 = 90                     Add the 3 scores you know

(x + 275)/4 = 90                                    Multiply both sides by 4

(x + 275) = 360                                     Remove the brackets.

x + 275 = 360                                       Subtract 275

x = 360 - 275

x = 85

Answer:

y-3

Problem:

What is the remainder when the dividend is xy-3, the divisor is y, and the quotient is x-1. ?

Step-by-step explanation:

Dividend=quotient×divisor+remainder

So we have

xy-3=(x-1)×(y)+remainder

xy-3=(xy-y)+remainder *distributive property

Now we just need to figure out what polynomial goes in for the remainder so this will be a true identity.

We need to get rid of minus y so we need plus y in the remainder.

We also need minus 3 in the remainder.

So the remainder is y-3.

Let's try it out:

xy-3=(xy-y)+remainder

xy-3=(xy-y)+(y-3)

xy-3=xy-3 is what we wanted so we are done here.

Answer:

3/10

Step-by-step explanation:

3 red, 4 green, and 3 yellow balls = 10 balls

P(red) = number of red balls / total balls

           = 3/10

Answer:

C

Step-by-step explanation:

c

Given:

The mass function is:

[tex]m(v)=4.5v[/tex]

where v is the volume in cubic centimeters.

The force function is:

[tex]F(m)=800m[/tex]

To find:

The composite function can be used to find the force of the object based on its volume.

Solution:

The composite function can be used to find the force of the object based on its volume is:

[tex]F(m(v))=F(4.5v)[/tex]              [tex][\because m(v)=4.5v][/tex]

[tex]F(m(v))=800(4.5v)[/tex]              [tex][\because F(m)=800m][/tex]

[tex]F(m(v))=3600v[/tex]

Therefore, the correct option is D.

Answer: F(m(v)) = 3,600v

Step-by-step explanation:DDDD

Answer:

the real is -19

the imaginary is -24 (or -24i depending on what the computer is looking for as an answer)

Step-by-step explanation:

Answer:

0.625

Step-by-step explanation:

Since there are 4 options each time the spinner is spun, there are a total of [tex]4\cdot 4=16[/tex] non-distinct sums possible when we spin it twice.

Out of these, the possible sums that meet the condition (less than 6) are 2, 3, 4, and 5 (since the smallest sum possible is 1+1=2).

Count how many ways there are to achieve each of these sums:

[tex]1+1=2\\\\1+2=3\\2+1=3\\\\2+2=4\\1+3=4\\3+1=4\\\\2+3=5\\3+2=5\\4+1=5\\1+4=5[/tex]

Totally there are 10 ways to achieve a sum less than 6. Therefore, the desired probability is [tex]\frac{10}{16}=\frac{5}{8}=\boxed{0.625}[/tex]

Answer:

16°

Step-by-step explanation:

For this problem, it's helpful to know SOH-CAH-TOA. When you see which sides are given, you can use that acronym to figure out which trigonometric function you need to use. In this case, the side adjacent to the angle in question (53) and the hypothenuse (55) are given. So we would look at CAH, and know we need to use cosine. However, since we are finding an angle, we need to use [tex]cos^{-1}[/tex] (inverse cosine). Now we just solve:

? = [tex]cos^{-1} (adjacent / hypotenuse)[/tex]

? = [tex]cos^{-1} (53/55)[/tex]

? = 15.5° -> 16°

Answer:

English for fast response

Solution :

For the bigger rectangle

Width of bigger rectangle = W

Length of bigger rectangle, L = 2W

For the smaller rectangle

Width , w = W+4

Length, l = L = 2W

Area, a =120 [tex]m^2[/tex]

Now we know,

Area = length x width

[tex]$a=l \times w$[/tex]

[tex]$120=(2W) \times (W+4)$[/tex]

[tex]$120=2W^2 + 8W$[/tex]

[tex]$2W^2+8W-120=0$[/tex]

[tex]$W^2+4W-60=0$[/tex]

[tex]$(W+10)(W-6) = 0$[/tex]

We get, either [tex]W=-10[/tex]   (rejecting)

                or     [tex]W=6[/tex]

∴ length of the bigger rectangle, [tex]$L=2W $[/tex]

                                                          = 2(6)

                                                           = 12 m

 Length of the smaller rectangle, [tex]$L=2W$[/tex]

                                                            = 2(6)

                                                           = 12 m

Hence, the length of the two gardens is 12 m.                                                            

6 minutes per mile.

As in, 30/5= 6

Answer:

Deandre can run 1 mile in 6 min

Step-by-step explanation:

(5,-8) after a 180 degree counterclockwise rotation about the origin is (-5,8)

Answer:

[tex]=\frac{81m^2n^5}{8}[/tex]

Step-by-step explanation:

One is given the following expression:

[tex]\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}[/tex]

Simplify, distribute the exponent outside of the parenthesis by the terms inside of it. Remember, when a value that already has an exponent is raised to another exponent, the equivalent of these two values is multiplying the exponents together. Use this property here:

[tex]=\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}[/tex]

[tex]=\frac{3^4m^(^-^1^)^(^4^)n^(^2^)^(^4^)}{2^3m^(^-^2^)^(^3^)n^3}[/tex]

[tex]=\frac{81m^-^4n^8}{8m^-^6n^3}[/tex]

Now simplify this fraction. Keep in mind that a fraction is another way of representing the operation of division. When one wants to divide terms raised to an exponent, one must make sure that these terms have a like base. Then one will subtract the exponents from each other. Do this step with terms that have a variable base:

[tex]=\frac{81m^-^4n^8}{8m^-^6n^3}[/tex]

[tex]=\frac{81m^(^-^4^)^-^(^-^6^)n^(^8^)^-^(^3^)}{8}[/tex]

[tex]=\frac{81m^-^4^+^6n^8^-^3}{8}[/tex]

[tex]=\frac{81m^2n^5}{8}[/tex]

Option A

We can prove this by a example

Take a pythagorean triplet 3, 4, 5

Now 5 is the hypotenuse

Area 1 = 3^2

= 9

Area 2 = 4^2

=16

Area 3 = 5^2

=25

So 9 + 16 = 5

25 = 25

Therefore its option A

Answered by Gauthmath must click thanks and mark brainliest

The correct relation between these rectangle is (Area of 1) + (Area of 2) = (Area of 3)

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

From the general formula of the area of the square,

Area of 1 = (side of 1st)²

Area of 2 = (side of 2nd)²

Area of 3 = (side of 3rd)²

From the Pythagorean theorem in the given triangle,

(side of 2nd)²+(side of 1st)² = (side of 3rd)²

Thus,

(Area of 1) + (Area of 2) = (Area of 3)

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Answer: (6+6/6)*(6-6)= 0

Additive inverse and multiplicative inverse are mathematics function which creates net impact of an equation as zero.

The correct names are matched with their respective properties.

A. 7. 8 + [-8] = 0

B. 9. 5 * [1/5] = 0

C. 4. a + 5b = 5b + a

D. 2. [pq] * 1 = pq

E. 6. gh - hg

F. 3. [5x] y-5 [xy]

G. 10. 2 [a + b] = 2a * 2b

I. 5. a + 0 = a

J. 8. x* 0 = 0

Additive inverse property is when the net result from addition is zero.

Multiplicative inverse property is the equation which gives answer zero when two variables are multiplied.

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Answer:

Step-by-step explanation:

A=2  ,B=4  ,C=?

[tex]C^{2}[/tex]=[tex]A^{2}[/tex]+[tex]B^{2}[/tex]

[tex]C^{2}[/tex]=[tex]2^{2}[/tex]+[tex]4^{2}[/tex]

[tex]C^{2}[/tex]=4+16

[tex]C^{2}[/tex]=20

C=[tex]\sqrt{20}[/tex]

Answer:

Step-by-step explanation:

The numbers from 1 to 9999 can be shown in the form of:

Each of x, y, z represent the digits from 0 to 9, so 10 ways each.

For each of the forms we have:

Total of:

By the way this is applicable to any digit.

Max number of digits=4

Their can be 4ways to represent

Each form can repeat 3

Total repeating