Given the function f (x) = x² + 8x + 7, what are the zeros of f?

Answers

Answer 1

Answer:

x = - 7, x = - 1

Step-by-step explanation:

To find the zeros let f(x) = 0 , that is

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = + 7 and 7 + 1 = + 8 , then

x² + 8x + 7 = 0

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1


Related Questions

The legs of a right triangle measure 4 and 6 Inches. The area of the triangle is
5 In.
24 in.
12 in.

Answers

Answer:

24 in could be the area of the triangle

What is the slope of the line shown on the graph?

Answers

I can’t see the pic of it try to upload another one is hard for me to see bdshsjsjakkajwjwjwuwhwhwhajajajs
The photo is hard to see but to find the slope You divide the difference of the Y coordinate of two points on the line by the difference of the x-coordinate of those two same points

Which of the following represent a linear function? *
10 points
1
4
6
2
-9
-6
14
A)
-
23
63
89
3
2
16
A
С
- 16
3
15
- 3
2
13
17
3
7
-21
- 26
59
41
D

Answers

nvm that isnt it pls delete this message

need some help please

Answers

Answer:

A(t)+900=x

B(t)+500=x

for the sake of things X represents the answer and as both need to equal the same it works out so that plugging it into a calculator should give you the answer

Step-by-step explanation:

you could start by making a T chart on one Side A the other B starting with 900 at A and 500 at B go down by the appropriate increments 950, 600;1000, 700; 1050, 800; 1100, 900, 1150, 1000; 1200, 1100; 1250, 1200, and you guessed it, 1300, 1300. so there you go X=1300

Angie packed same-size cubes into a rectangular prism. Image shows a base of cubes 3 units long, 2 units wide, and with a column of cubes 1 cube wide and 7 cubes tall. Which expression could be used to find the number of cubes that would fill the prism? A. ( 3 + 2 ) + 7 B. ( 3 × 2 ) × 6 C. ( 3 × 2 ) + 7 D. ( 3 × 2 ) × 7

Answers

Answer:

I believe it's C. (3 x 2) + 7!

The expression that could be used to find the number of cubes that would fill the prism will be (3 x 2) x 7. The correct option is D.

What is a rectangular prism?

A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases. It also goes by the name cuboid. Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism. It is referred to as a prism because of the length of its cross-section.

The rectangular prism has a base of cubes that is 3 units long and 2 units wide, which means it has an area of 3 x 2 = 6 square units.

The prism is also 7 cubes tall. To find the total number of cubes in the rectangular prism, we need to multiply the area of the base by the height of the prism. Therefore, the expression that could be used to find the number of cubes that would fill the prism is:

(3 x 2) x 7 = 6 x 7 = 42

So the answer is D. (3 x 2) x 7.

To know more about rectangular prism follow

https://brainly.com/question/24284033

#SPJ3

help me pleaseeeeeee

Answers

Answer:

(a) 152.5

(b) -45.4

(c) 750

(d) -87.5

Step-by-step explanation:

To calculate the percentage increase:

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number.

Then: divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

I hope this helps! :)

What is the slope-intercept equation of the line below?

Answers

i believe the answer is C because the equation is in the negative values

Answer:

Step-by-step explanation:

(0, -1)  (1, -3)

(-3 + 1)/(1 - 0)= -2/1= -2

y + 1 = -2(x - 0)

y + 1 = -2x + 0

y = -2x - 1

answer is C

Find the perimeter and area of a rectangle with a length of 3.4cm and a width of 4.3cm

Answers

Answer:

perimeter of a rectangle

=2×(L+B)

=2×(4.3+3.4)

=2×7.7

=15.4

Area of a rectangle

=L×B

=4.3×3.4

=146.2

Answer:

Step-by-step explanation:

The formula for the perimeter of a rectangle of length L and width W is

P = 2L + 2W.  In this particular problem, P = 2(3.4 cm) + 2(4.3 cm), or

P = 6.8 cm + 8.6 cm, or P = 15.4 cm

The formula for the area of a rectangle of length L and width W is A = L * W.

In this problem, the area is A = (3.4 cm)(4.3 cm) = 14.62 cm^2  =  A

Suppose there is a 1.2°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 56.9°F, what will be the temperature when the plane reaches an altitude of 6,000 ft?​

Answers

Answer: [tex]49.7^{\circ}F[/tex]

Step-by-step explanation:

Given

The temperature on the ground is [tex]56.9^{\circ}F[/tex]

temperature drop observed is [tex]1.2^{\circ}F\ \text{per 1000 ft}[/tex]

The height of the plane is  [tex]6000\ ft[/tex]

The total increase in height per [tex]1000\ ft[/tex] is [tex]6[/tex] units

Temperature drop is

[tex]\Rightarrow 1.2\times 6=7.2^{\circ}F[/tex]

The temperature at that altitude is

[tex]\Rightarrow 56.9-7.2=49.7^{\circ}F[/tex]

15 points on the line better answer quick!

Answers

I would say A because a negative plus a negative equals a negative

11 is quotient of a number y and 6

Answers

11=y/6

---

hope it helps

sorry, I didn't know how to explain it

Answer: 11= y/6y= 66

Step-by-step explanation:

Please help me with this, I need to find the missing angle of both of the triangles. Thank you. :))

Answers

The missing side of ABC = 13
The missing side of FDE = 24



Pythagorean Theorem: a² + b² = c²

Pythagorean Theorem is for right-angled triangle only.

The missing side of ABC is:
12² + 5² = AC²

169 = AC²

AC = √169

AC = 13


The missing side of FDE is:
DE² + 10² = 26²

DE² = 26² - 10²

DE² = 576

DE = √576

DE = 24

Use the graph to write a linear function that relates y to x

Answers

Answer:

y=4/3x+2

Step-by-step explanation:

8. Which expression is equivalent to 0.6x?
O
X-0.4x
O
1 -0.4x
X + 0.6
0.6X - X

Answers

Answer:

X - .4x

Step-by-step explanation:

X - .4x = x(1-.4) = .6x

1 -0.4x  These are not like terms so they cannot be combined

X + 0.6 These are not like terms so they cannot be combined

0.6X - X  x( .6-1) = x(-.4) = -.4x

The answer is X+ 0.6 and 0.6-X I think

Question in photo! ty :)

Answers

Step-by-step explanation:

its easy use a calculator and in place of x put 1.5 and in place of y put 3.

Answer:

9/2

Step-by-step explanation:

The area of a rectangular parking lot is 8051 m ^2 . If the length of the parking lot is 97 m, what is its width?

Answers

Answer:

Width of rectangle = 83 meter

Step-by-step explanation:

Given:

Area of rectangle = 8,051 m²

Length of rectangle = 97 m

Find:

Width of rectangle

Computation:

Area of rectangle = Length of rectangle x Width of rectangle

97 x Width of rectangle = 8,051

Width of rectangle = 8,051 / 97

Width of rectangle = 83 meter

Tyler stands facing a tree that is 9 meters tall. he places a straight stick on the ground at his feet, angles it up until it points to the top of the tree, and measures the angle as 55 degrees. how many meters away is he standing from the tree?​

Answers

Answer:

Distance of boy from tree (base) = 6.3 m (Approx.)

Step-by-step explanation:

Given:

Height of tree (perpendicular) = 9 m

Given angle = 55°

Find:

Distance of boy from tree (base)

Computation:

Using trigonometry function

tanθ = Perpendicular / Base

tan 55 = 9 / Base

1.4281 = 9 / Base

Base = 6.3

Distance of boy from tree (base) = 6.3 m (Approx.)

If A (4,3) is rotated around the origin to become A' (-3, 4), what kind of rotation did it go through?
A 270° Counterclockwise
B 270° Clockwise
C90° Clockwise
D 180° Clockwise

Answers

Answer:

B 270° Clockwise

Step-by-step explanation:

A jar of sweets has 84 M&M sweets and 28 jelly bean sweets. What percent of the sweets are
jelly bean?

Answers

Answer:

25% of the sweets in the jar are jelly beans.

Answer:

25% of sweets are jelly bean

Step-by-step explanation:

Through(-4,5) and (8,5)

Answers

Answer:

what?

Step-by-step explanation:

Answer:

What

Step-by-step explanation:

Whata

solve for the variables.

Answers

Answer:

The question gives the fact that both lines are parallel.

So:

3p - 15 =  7p - 5

3p = 7p + 10

-4p = 10

p = 10/-4

p = 5/-2

Answer:

The answer is 3p - 15 =  7p - 5    3p = 7p + 10    -4p = 10  p = 10/-4  p = 5/-2

Step-by-step explanation:

WILL GIVE BRAINLIEST!
Given that ℓ1 ∥ ℓ2 and y = 20°, find x.
x =
°

Answers

x will equal 40.

EXPLANATION: since they’re parallel and these are opposite angles, add them together to equal 180.
x+(20)+3x=180.
add common variables.
4x+20=180
subtract 29 from both sides
4x=160
divide each side by 4 so isolate x
x=40

The two figures are proportional. Find the value of x.

Answers

Answer:

C. 30in

Step-by-step explanation:

[tex]\frac{36}{12} = \frac{x}{10}[/tex]

x = 30

PLEASE HELP I WILL MARK BRAINLIEST IF YOURE RIGHT.

The heights of a triangle ABC meet at a point K.AB=CK.Find the angle of C.​

Answers

Answer:

45°

Step-by-step explanation:

AD⊥BC, BE⊥AC, CF⊥AB           AB = CK

∠1 + ∠2 = 90°        ∠5 + ∠2 = 90°              ∴ ∠1 = ∠5

∠5 + ∠4 = 90°                                            ∴ ∠4 = ∠2

AB = CK

ΔABD ≅ ΔCKD  (ASA)

AD = CD       ∴ΔADC is an isosceles triangle

∠C = ∠CAD = 45°       (∠C + ∠CAD = 90°)

A rectangle has a length of 24cm and breadth is 6cm.Express the breadth as a percentage of the length

Answers

Answer:

Breadth is 25% of the length

Step-by-step explanation:

Length, l = 24 cm

Breadth, b = 6cm

Expressing the breadth as a percentage of the length :

(Breadth / length) * 100%

(6 / 24) * 100%

0.25 * 100%

= 25%

Hence, the breadth is 25% of the length

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What is the slope of the line through (-2,-6) and (2, 2)?
Choose 1 answer
2.
B В
1
2
-2
D
1
2

Answers

Answer:

The slope is 2

Step-by-step explanation:

Help please!?!?!?!?!?!?!?!?!

Answers

Answer:

Your answer is D.

Step-by-step explanation:

If you need explanation ask me in comment

Mrs. Harbrook can choose from two rectangular pool sizes. The pool manufacturer provides her with the area of the pool, but she needs to find the dimensions in order to determine if the pool will fit in her yard.




If the area of the pool is x2−17x+72, what are possible expressions to represent the length L and the width W ?

Answers

Answer:8 or 9 ft

Step-by-step explanation:

Given

The area of the pool is  [tex]A=x^2-17x+72[/tex]

The area is in the form of a quadratic equation

So, the roots of the equation will give the length and width of the pool

[tex]\Rightarrow x^2-17x+72=0\\\Rightarrow x^2-8x-9x+72=0\\\Rightarrow x(x-8)-9(x-8)=\\\Rightarrow (x-8)(x-9)=0\\\Rightarrow x=8\ or\ 9[/tex]

Therefore length and width can either be [tex]\text{8 or 9 ft}[/tex].

[tex]\Rightarrow L=8\ ft,W=9\ ft\ \text{or}\ L=9\ ft,W=8\ ft[/tex]

3(4x+6)=-4

What property did you use to solve this problem?

Answers

Answer:

The distributive property

Step-by-step explanation:

You have to distribute the 3 to the parenthesis so it is the distributibe property.

Help plss????????? ????????

Answers

Answer:

D. Infinite

Step-by-step explanation:

I put it in a graph and they had the same exact line so ya.

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