What are the exact solutions of x2 4 − 7x 1 point X X X X?

Answers

Answer 1

The solution of the given quadratic equation is  x = (- 7 ± √(65)) / (2)

What is a quadratic equation?

The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given is a quadratic equation,

For this case, the first thing we must do is rewrite the polynomial:

x² + 7x - 4 = 0

We use the resolver to solve the problem using quadratic formula;

x = (- b ± √(b² - 4 × a × c)) / (2 × a)

Where,

a = 1

b = 7

c = -4

Substituting the values:

x = (- 7 ± √((7)² - 4 × (1) × (- 4))) / (2 × (1))

x = (- 7 ± √(49 + 16)) / (2×(1))

x = (- 7 ± √(65)) / (2)

Hence, The value of x is (- 7 ± √(65)) / (2)

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Related Questions

What is the percent of change from 800,000 to 600,000?

Answers

i'm pretty sure it's 75%

pls help....which of them is it and no link or I will report​

Answers

Answer W = 39/4
9 would be the answer

complete the tables of values

Answers

Answer:

a=0

b=-8

c=-16

d=0

e=-3

f=-6

Step-by-step explanation:

Simplify the expression below.

4x+ 3(2x−1) − 4x

Answers

Answer:

=6x−3

Step-by-step explanation:

Let's simplify step-by-step

4x+3(2x−1)−4x

Distribute:

=4x+(3)(2x)+(3)(−1)+−4x

=4x+6x+−3+−4x

Combine Like Terms:

=4x+6x+−3+−4x

=(4x+6x+−4x)+(−3)

=6x+−3

Answer:

6x - 3

Step-by-step explanation:

4x + 3(2x - 1) - 4x

Distribute, multiply every term inside the parenthesis by the term outside of it,

4x + (3)(2x) + (3)(-1) - 4x

Simplify,

4x + 6x - 3 - 4x

Simplify further, combine like terms,

6x - 3

What's 8x3 please help me.

Answers

Answer:

24

Step-by-step explanation:

Answer: Equals 24! Have a great day!

Can someone help me please

Answers

Answer:

It's 28

Step-by-step explanation

Please answer the problem above

Answers

Answer:

area of rectangle : 180 sq ft

area of triangle : 30 sq ft

area of entire composite figure : 210 sq. ft

Step-by-step explanation:

rectangle : 15*12= 180

triangle : 15*4=60 /2 = 30

entire : 180 + 30 = 210

Write the system of equations as a matrix equation AX=B, with A as the coefficient matrix of the system.

Please help!

Answers

Answer:

[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]

Step-by-step explanation:

The system of equation in matrix form is defined by following vector formula:

[tex]\vec A \cdot \vec x = \vec b[/tex] (1)

Where:

[tex]\vec A[/tex] - Matrix of coefficients.

[tex]\vec x[/tex] - Column vector of variables.

[tex]\vec b[/tex] - Column vector of results.

If we know that [tex]x + 2\cdot y = 0[/tex] and [tex]6\cdot x + 7\cdot y = -10[/tex], then the system of equations in matrix form is:

[tex]\vec A = \left[\begin{array}{ccc}1&2\\6&7\end{array}\right][/tex], [tex]\vec x = \left[\begin{array}{ccc}x\\y\end{array}\right][/tex], [tex]\vec b = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]

Then,

[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]

Which of the statements about the y-axis are true? I.The y-axis is a vertical number line that passes through the origin.II.The y-axis intersects the x-axis at the point (0 , 0).III.The y-axis is the first coordinate in an ordered pair that describes the vertical distance from the origin.IV.The y-axis is a horizontal number line that passes through the origin.​

Answers

Answer:

No i does not well it will be 0,5 or any other number but the x wont change

Step-by-step explanation:

up
Write an equation for the translation of x2 + y2 = 49 by 3 units left and 4 units
O(x + 3)2 + (y + 4)2 = 49
O(x + 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y + 4)2 = 49

Answers

Answer: (x+3)^2+(y-4)^2=49

The answer is b :)

Step-by-step explanation:

the composite figure is made up of three simpler shapes? what is the area of the figure

Answers

Answer:

B. 68 square cm

Step-by-step explanation:

0.5 x 6 x 5 = 15

5 x 7 = 35

9 x 2 = 18

15+35+18 =68

In QRS the measure of S=90, the measure of Q=29 and SQ=5 feet. find the length of QR to the nearest tenth.r​

Answers

Answer:

QR ≈ 5.7 ft

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QS}{QR}[/tex] = [tex]\frac{5}{QR}[/tex] ( multiply both sides by QR

QR × cos29° = 5 ( divide both sides by cos29° )

QR = [tex]\frac{5}{cos29}[/tex] ≈ 5.7 ( to the nearest tenth )

Meeta buys a ticket for the movie and a popcorn, which costs $6. She spends $16.50 in all. How much was the movie ticket?

Answers

Answer:

10.50

Step-by-step explanation:

16.50-6

Find the p and q that produce the Pythagorean triple (3, 4, and 5). Please help me, please and thank you! =)

Answers

Answer:

Step-by-step explanation:

HELP HELP ASAP ASAP WILL MARK BRAINLIEST
ANSWER BOTH PLEASE EASY POINTS

Answers

Answer:

1.) Hypotenuse.

The hypotenuse is the longer side.

2.)Leg

Answer:

1.) Hypotenuse

2.) Leg

Step-by-step explanation:

The legs or bases of a triangle are the sides connected to the right angle.

The hypotenuse is the side across from the right angle and is always the longest side.

Factor the expression: -30x - 15

Answers

-15 (2x + 1) hope this helpsssss

Answer:

Factored expression:  -15 (2x + 1)

Find equations of two lines that cross at the point (2,7) & explain how you got the answer

Answers

Is there like some kind of picture

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the point (1, -10)?

Answers

the equation is y=-3/4(x-3)^2-7

A rope 24m long is divided into three pieces in a ratio 1:2:5. The length of the shortest piece in
metre is​

Answers

Answer:

3 m

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 5 = 8 parts

Divide the length by 8 to find the value of one part of the rope

24 m ÷ 8 = 3 m ← value of 1 part of the ratio

Thus the shortest piece is 3 m

The required length of the shortest piece is 3 meters.

Given that,
A rope 24m long is divided into three pieces in a ratio of 1:2:5. The length of the shortest piece in meters is​ to be determined.


What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
let the required proportion is equal to x,
then,

x + 2x + 5x = 24
8x = 24
x = 3

Now the lengths
x = 3 meter
2x = 6 meter
5x = 15 meter


Thus, the required length of the shortest piece is 3 meters.

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Mary has $15.63 left in her wallet after spending $8.01 on snacks. How much did she have in her wallet before she bought the snacks? (Do not put the $ sign in your answer. Just type the amount without the $ sign.

Answers

$15.63 was left after she spent $8.01 on snacks. Do 15.63 + 8.01 which gives u 23.64, this is the amount Mary had before buying snacks

Solve 24=3r4. The solution is r=
what is the answer for this?
i tried 2 and it says wrong

Answers

Answer:

r=1.681793,−1.681793

Step-by-step explanation:

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD =4, BD =6, what is the length of DC

Answers

Answer:

[tex]AC=5[/tex]

Step-by-step explanation:

From the question we are told that:

Dimensions

[tex]AD=4\\BD=6[/tex]

Generally the equation for these similar right triangle is mathematically given by

[tex]\frac{AC}{AB}=\frac{AB}{AD}=\frac{BC}{BD}[/tex]

[tex]\frac{AC}{AB}=\frac{AB}{AD}[/tex]

Where

[tex]AD=x[/tex]

[tex]AC=x+4[/tex]

Therefore

[tex]AB^2=x(x+4)[/tex]

Generally the Pythagoras equation for [tex]\triangle[/tex]ADB is mathematically given by

[tex]AB^2=BD^2+AD^2[/tex]

[tex]x(x+4)=4+x^2[/tex]

[tex]x(x+4)-(4+x^2)=0[/tex]

[tex]x^2+4x)-(4+x^2)=0[/tex]

[tex]4x-4=0[/tex]

[tex]x=1[/tex]

Therefore

[tex]AC=x+4[/tex]

[tex]AC=1+4[/tex]

[tex]AC=5[/tex]

Madjeen jogs around the pond by her house twice a day. In the morning, she jogs $3.5$ laps around the pond. In the evening, she jogs $1$ lap around the pond. Madjeen jogs a total of $5.4$ miles. Write and solve an equation to find out how many miles are in each lap around the pond.

Answers

Answer:

1.2 miles

Step-by-step explanation:

Morning laps = 3.5 laps

Evening laps = 1 lap

Total miles jogged = 5.4 miles

Total laps made = (3. 5 + 1) = 4.5 miles

Number of miles per laps covered :

Total miles jogged / number f lapses hugged around pond.

= 5.4 miles / 4.5

= 1.2 miles

Therefore, number of miles per round around the pond is 1.2 miles

Question 1 of 20 Multiply. (4x - 5)^2
A. 16x2 - 25
B. 16x2 - 40x + 25
C. 16x2 + 20x + 25
D. 16x2 + 40x+ 25​

Answers

(4x - 5)^2
Multiply the equation by itself.
(4x - 5)(4x - 5)
Start by multiplying 4x by 4x.
Move on to multiplying 4x by -5.
Multiply -5 by 4x.
Multiply -5 by -5.
16x^2 - 20x - 20x + 25
Combine like terms.
16x^2 - 40x + 25

Answer: B

Answer:

B) 16x² - 40x + 25

Step-by-step explanation:

1) Use square differences: (a - b)² = a² - 2ab + b².

[tex](4x)^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]

2)Use Multiplication Distributive Property: (xy)^a = x^a y^a.

[tex] {4}^{2} {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]

3) Simplify 4² to 16.

[tex]16 {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]

4) Simplify 5² to 25.

[tex]16 {x}^{2} - 2 \times 4x \times 5 + 25[/tex]

5) Simplify 2 × 4x × 5 to 40x.

[tex] {16x}^{2} - 40x + 25[/tex]

Thus, the Anwer is Option B) 16x² - 40x + 25 .

What is (-3, -2) reflected over the y-axis

Answers

Answer:

3,-2

Step-by-step explanation:

Answer:

(3, -2)

Step-by-step explanation:

[Cartesian plane]

______________

+y

-x ← — | — → +x

(-3,-2) |

-y

______________

[Flipping over the y axis]

-The reflection will be the-

same distance from the y axis

+y

-x ← — | — → +x

(-3,-2) → | → (3, -2)

-y

Help! With this math problem

Answers

Answer:

Its C

Step-by-step explanation:

Answer this plz I’m stuck on it

Answers

Answer:

The value of the car decreased by 16 percent.

Step-by-step explanation:

First I divided 15,540 by 18,500, and I got .84. Then, I subtracted .84 from 1, and got .16. Then I turned .16 into a percent, and got 16%.

Please help I would appreciate it

Answers

Answer:

Lower and upper quartiles(B)

Step-by-step explanation:

Form and solve an equation for .
2x
x+30

Answers

Answer:

x = 20

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the angles in the triangle and equate to 180

2x + x + 30 + 90 = 180

3x + 120 = 180 ( subtract 120 from both sides )

3x = 60 ( divide both sides by 3 )

x = 20

A cube is made up of squares with sides 3 cm long. What is the surface area of the cube?

Answers

9514 1404 393

Answer:

  54 cm²

Step-by-step explanation:

Each of the 6 faces of the cube has an area that is ...

  A = s² = (3 cm)² = 9 cm²

Then the area of the cube is ...

  6 × 9 cm² = 54 cm²

Answer:

Answer:

54 cm²

Step-by-step explanation:

Each of the 6 faces of the cube has has an area that is ...

A= s²=(3cm)²=9cm²

Then the area of the cube is ...

6×9cm²= 54cm²
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