Henry correctly factored 4x^(2)+5x-6 as (4x-3)(x+2). He then claimed that the zeros of that quadratic function are located at x=-(1)/(2) and x=2. Did Henry correctly find the zeros of the function?

Answers

Answer 1

Answer:

I believe Henrey is wrong

Step-by-step explanation:

because the roots of the quadratic function are

"(x= 3/4, -2)."


Related Questions

What is an equation of the line that passes through the points (-5, 1) and (5,5)

Answers

Answer:

Equation: y = 0.4x + 3.

Step-by-step explanation:

picture

Two different businesses model their profits over 15 years, where x is the year, f(x) is the profits of a garden shop, and g(x) is the profits of a construction materials business. Use the data to determine which function is exponential, and use the table to justify your answer.
A. g(x) is exponential; an exponential function increases faster than a linear function.
B. g(x) is exponential; g(x) has a lower starting value and higher ending value.
C. f(x) is exponential; an exponential function increases more slowly than a linear function.
D. f(x) is exponential; f(x) increased less overall than g(x).

Answers

The correct answer would be answer D

Answer:

the correct answer should be c

Question 1 (5 points)
Dilate the rectangle below by a scale factor of 2. If the current side lengths are 15
and 8, what are the side lengths on the new dilated rectangle?
In your answer, give the new side lengths for the dilated image and explain how you
calculated them.

Answers

Answer:

AB and CD would be 30

AC and BD would be 16

Step-by-step explanation:

The scale factor is what you multiply the sides by. Dilate means wider or larger so you multiply each side by the scale factor of 2 to get the higher scaled rectangle.

Solve for a.

5a−12=3

Enter your answer in the box.

a =

Answers

[tex]5a - 12 = 3 \\ 5a = 3 + 12 \\ 5a = 15 \\ a = \frac{15}{5} \\ a = 3[/tex]

Answer:

[tex]a=3[/tex]

Step-by-step explanation:

Given the following question:

[tex]5a-12=3[/tex]

To solve this equation, we need to add 12 on both sides and then isolate the variable for a.

[tex]5a-12=3[/tex]
[tex]-12+12=0[/tex]
[tex]12+3=15[/tex]
[tex]5a=15[/tex]
[tex]\frac{5a}{5} =\div5[/tex]
[tex]15\div5=3[/tex]
[tex]a=3[/tex]

Hope this helps.

Please answer this for the love of God!! :(

Answers

Answer:

4(5x+4)

Step-by-step explanation:

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 20 are: 1, 2, 4, 5, 10, 20x

Then the greatest common factor is 4.

4(5x+4) is the correct answer

Can someone plss help me with these questions!!

Answers

Answer:

1 year data analysis of input and output

how do i solve b^2-5b+3

Answers

Answer:

[tex]x {}^{2} - 5x = - 3 \\ x( x - 5) = - 3 \\ x = - 3 \\ x - 5 = - 3 \\ x = 2[/tex]

part one is the first pic the second part is the one that starts with the result.

Jack read 9 books in 15 months. What was his rate of reading in months per book? Include units.
Your answer should be written in fraction form (mixed number)

Answers

Answer:

3/5 books

Step-by-step explanation:

Divide 9 by 15 to get 0.6

0.6=3/5

In order to join the football club, you have to pay a 120 Dirhams joining fee and pay 200
Dirhams every week. Write this relation in a slope intercept form.

Answers

Answer:

y = 200x + 120

Step-by-step explanation:

One off fee is 120 Dirhams and weekly charge is 200 Dirhams.

The equation for this relation is:

y = 200x + 120, where x- the number of weeks

What is the value of the rational expression 2x2+ 5x +9/x2+2x -1?

A.)-7
B.)-9
C.)9
D.)7
(Help Please.)

Answers

The value of the rational expression is -7!!

Answer:

hai

Step-by-step explanation:

bra9inly pls help me on this question

Answers

Step-by-step explanation:

area of the trapezoid = area of the 2 triangles +

area of the rectangle

i) area of triangle on left:

a = ½ bh

a = ½ × 2 × 9

a = 9 in²

ii) area of triangle on right:

a = ½ bh

a = ½ × 2 × 9

a = 9 in²

iii) area of rectangle = length × width

a = l × w

a = 12 × 9

a = 108 in²

iv) area of trapezoid = 9 + 9 + 108

= 126 in²

hope this helps you!

-s.

What is the value of the rational expression 6-x/ x+5 when x= 2

A.)4/7
B.)4/5
C.)8/7
D.)8/5
(Please do hurry.)

Answers

Answer:

A

Step-by-step explanation:

(6-2)/(5+2)

4/7

Answer:

4/7              6 -2/2+5 = 4/7

simple

please help (images below)

Answers

Answer:

2) D

because:

[tex] \frac{9}{1} \times 4 \\ 9 \times 4 \\ 36 \: is \: not \: equal \: to \: 4[/tex]

4) B

because:

[tex] \frac{5}{5} \times 8 \\ 1 \times 8 \\ 8 \: is \: equal \: to \: 8[/tex]

tanya is 1.6m tall and sid is 2m tall find the ratio of tanya height to sid’s height

Answers

Answer:

4 : 5

Step-by-step explanation:

tanya : sid = 1.6 : 2 ( divide both parts by 0.4 )

                  = 4 : 5

Show working pls

Find the area of the following composite shapes

Answers

Answer:

112 sq cm

Step-by-step explanation:

Area of the square:

A = s^2

= 8^2

=64 sq cm

Area of a triangle:

A = 1/2•b•h

= 1/2•8•12

= 48 sq cm

Area of total shape:

A_square + A_triangle

= 64 + 48

= 112 sq cm

help me to the this question​

Answers

Across

1 compass

2 shape

4 two pi to one

6 Pie x radius squared

8. arc

10 Point

11 radius

12 circumference

down

1 Chord

4major arc

5 Radii

7 degrees

9.circle

13 equidistant

hope this helps

Which is the equation of the following line.

Answers

Answer:

D

Step-by-step explanation:

D

0 is the y intercept and -4 is the slope.

Answer:

D. y = -4x

Step-by-step explanation:

First, find the slope:

m = (-8 - 0) / (2 - 0)

[tex]m = -\frac{8}{2}[/tex]

Use slope-intercept form:

[tex]y = -\frac{8}{2}x[/tex]

[tex]y = -4x[/tex]

I need help with this question, how do I find the value of x??

Answers

Answer:

Im sure that you need to subtract so 140 minus 15 is 130

Answer: x is 20 degrees

Step-by-step explanation:

145 + 15 = 160

180 - 160 = 20

( straight line: 180 degrees )

Kyle types college reports for $1.70 per page. He also charges $6 to cover the cost of supplies. How many pages did he write if he charged $40.00? Write and solve an equation.

Answers

Answer:

$1.70p + $6 = $40.00

Step-by-step explanation:

$1.70p + $6 - $6 = $40.00 - $6

$1.70p = $34.00

$1.70p ÷ 1.70 = $34.00 ÷ 1.70

p = 20

He wrote 20 pages.

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 3/4 of the drink is apple juice and 1/10 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.​

Answers

Answer:

15/20 : 2/20 : 3/20 or you could put 3/4 : 1/10 : 3/20 but that's up to your teacher

Step-by-step explanation:

We know that there are 3 ingredients.

3/4 apple juice

1/10 orange juice

We want to know how much cranberry juice to apple juice to orange juice.

First, let's start with getting common denominators.

The LCD (least common denominator) between these two fractions is 40. (4 * 10)

So:

3/4 * 10/10  = 30/40

1/10 * 4/4 = 4/40

Now we know them with equal denominators. Now let's subtract them from the whole (40/40) to find out how much cranberry juice.

40/40 - 30/40 - 4/40 = 6/40

Cranberry juice = 6/40 of the whole.

Now we can find the ratio in its simplest form.

30/40 : 4/40 : 6/40

Can we simplify these fractions? yes.

The can all be simplified by 2

15/20 : 2/20 : 3/20

Since 2 can't be simplified by anything but 2 or 1, and 15 and 3 cannot be simplified by 2, this is your answer.

or you could put 3/4 : 1/10 : 3/20 but that's up to your teacher.

Cone A and Cone B both have a height of 5 inches. The volume of Cone A
is 20.9 cubic inches. The volume of Cone B is 4 times the volume of Cone A.
About how many times longer is the diameter of Cone B than the diameter
of Cone A

Answers

Answer:

cone A= 20.9×5=104.5

cone B= 5×4=20

20×20.9=418

cone B -cone A = -313.5


Find at least five solutions to graph the linear equation 0x -
3y = 15

Answers

Answer:

Any points across y=5. ex: (-2,5) (0,5) (1,5), (3,5) (4,5)

Step-By-Step Solution

(3y=15)/3 divide all by 3

and get y=5

any 5 points that gave y=5 will work

Kindly solve the question

Answers

Answer:

in the picture

Step-by-step explanation:

in the picture

Answer:

6.4 = b     and     7.8 = a

Step-by-step explanation:

Using the formula:

a^2 + b^2 = c^2

we can find the length of b

for the first triangle

now we just plug in the lengths.

5^2 + 4^2 = b^2

simplify into :

25 + 16 = b^2

add

41 = b^2

now in order to get rid of the ^2, we just find the square root of 41.

√41 ≈ 6.4

6.4 = b

Now we just need to solve for A

since we know

a^2 + b^2 = c^2 that must mean

c^2 - b^2 = a^2

so this is the formula we will be using.

now we just plug in the lengths of the second triangle into this equation.

10.5^2 - 7^2 = a^2

simplifies into

110.25 - 49 = a^2

subtract

61.25 = a^2

now we just find the square root of 61.25.

√61.25 = 7.8

7.8 = a

you can check this by putting it back in the formula

a^2 + b^2 = c^2

I will do this quickly (only for the second triangle)

we know

a = 7.8

b = 7

c = 10.5

7.8^2 + 7^2 = 10.5^2

simplifys into

60.84 + 49 = 110.25

60.84 + 49 ≈ 110

110.25 ≈ 110

110 = 110

which proves that this is correct.

The infield of a softball
diamond is shaped like a
square. If the distance
between bases is 60 feet,
Find the diagonal distance
From third base to First
base

1-84.9
2-11.9
3-12.5

Answers

Answer:

84.9

Step-by-step explanation:

The distance between first and third base makes the hypotonus of a triangle where the lengths of the legs are each 60 feet. To find the hypotonus, add (60)^2 + (60)^2 to get 3600 +3600 = 7200. Then square root 7200 to get the distance between first and third as 84.9

HELP ME ASAP for 37 points!! which expression is equivalent to 14.5d+8.5-1/2d+1/2+2.5d
first one 16.5d+8
second one 16.5d+9
third one 17.5d+8
fourth one 17.5d+9​

Answers

Equivalent expressions are expressions with equal values

The equivalent expression is 16.5d+9

How to determine the equivalent expression

The expression is given as:

14.5d+8.5-1/2d+1/2+2.5d

Express the fractions as decimals

14.5d+8.5-0.5d+0.5+2.5d

Collect like terms

14.5d-0.5d+2.5d+8.5+0.5

Evaluate the like terms

16.5d+9

Hence, the equivalent expression is 16.5d+9

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:16.5d+9

Step-by-step explanation:

Please help me I’ll give 20 points :)

Answers

Answer:

B

Step-by-step explanation:

because  when simplified we get b

Answer:

1. A

Step-by-step explanation:

1.

[tex] {x}^{2} - 4x - 12 \\ {x}^{2} + 2x - 6x - 12 \\ x(x + 2) - 6(x + 2) \\ (x - 6)(x + 2) \\ [/tex]

What is the solution for the equation? 14. 8 = n minus 0. 3 n = negative 15. 1 n = negative 14. 5 n = 14. 5 n = 15. 1.

Answers

Answer:

Step-by-step explanation;

3, 4, 5), while (m, n) = (5,2) gives the ... x 2 + 29x + 210 = (x + 15)(x + 14) and x2 + 29x - 210 = (x + 35)(x - 6)

How much cubic centimeters of dirt must be removed when digging for a foundation of a building if the excavation is 32m long, 12m wide, and 8m deep

Answers

Answer:

3,072m

Step-by-step explanation:

32 × 12× 8= 3,072 (This is only you are multiplying them all)

If you are trying to find the area then its: 384m

Find x to the nearest tenth.
8
6
X

Answers

Answer:

x ≈ 5.3

Step-by-step explanation:

a²+b²=c²

c is always the hypotenuse in a right angle triangle.

6² + x² = 8²

36 + x² = 64

64 - 36 = 28

x² = 28

x = √28

Use calculator from here.

√28 = 5.29150262213

5.29150262213 ≈ 5.3

Because the number after 2, which is 9, is greater than 5, the nearest tenth is 5.3, not 5.2.

Find the domain for the expression:
y/y-5 + 1/y+8

Answers

Answer:

1/y+4

Step-by-step explanation:

1-5+1/y+8

1/y+(1-5+8)

1/y+4

[tex] \frac{y}{y} - 5 + \frac{1}{y} + 8 [/tex]

→[tex](1 - 5) + \frac{1}{y} + 8[/tex]

→[tex]-4 = \frac{ - 4}{1} = \frac{ - 4 \: • \: y}{y} [/tex]

→[tex] \frac{ - 4 \: • \: y + 1}{y} = \frac{1 - 4y}{y} [/tex]

→[tex] \frac{(1 - 4y)}{y} + 8[/tex]

→[tex]8 = \frac{8}{1} = \frac{8 \: • \: y}{y} [/tex]

→[tex] \frac{(1 - 4y) + 8 \: • \: y}{y} = \frac{4y + 1}{y} [/tex]

→[tex] \frac{4y + 1}{y} [/tex]

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