Solve the equation by quadratic formula. Round to the nearest Tenth, if necessary

x^2 - 49 = 0

Answers

Answer 1

Answer:

[tex]x = 7 \: or \: x = - 7.[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 49 = 0[/tex]

Then

[tex] {x}^{2} = 49 [/tex]

So

[tex]x = 7 \: or \: x = - 7.[/tex]

Answer 2

Answer:

x = -7 , 7

Step-by-step explanation:

a² - b² = (a + b)(a - b)

x² - 49 = 0

x² - 7² = 0

(x + 7)(x -7) = 0

x + 7 = 0         ; x - 7 = 0

x = -7             ; x = 7


Related Questions

in a survey of 100 cars,47 were white,23 were blue and 30 were red.express each of these numbers as a percentage of the total.

Answers

Answer:

white- 47%   Blue-23% Red- 30%

Step-by-step explanation:

White cars- (47/100)*100= 47%

Blue cars- (23/100)*100=23%

Red cars- (30/100)*100=30%

Analyze the rational function: f(x) = (x^2 - 4)/(x^3 - 3x^2 - 10x)

Answers

Answer:

The function [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] has a zero: [tex]x = 2[/tex], and two poles: [tex]x = 0[/tex] and [tex]x = 5[/tex].

Step-by-step explanation:

Let be [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] a rational function armed with polynomial function. We proceed to factor the expression to the find the zeros and poles of the rational function:

1) [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] Given

2) [tex]f(x) = \frac{(x + 2)\cdot (x-2)}{x\cdot (x^{2}-3\cdot x -10)}[/tex]  [tex]a^{2} - b^{2} = (a + b)\cdot (a - b)[/tex]/Associative, commutative and distributive properties.

3) [tex]f(x) = \frac{(x+2)\cdot (x-2)}{x\cdot (x-5)\cdot (x+2)}[/tex] [tex]x^{2} -(a+b)\cdot x + a\cdot b = (x-a)\cdot (x-b)[/tex]

4) [tex]f(x) = \frac{x-2}{x\cdot (x-5)}[/tex] Commutative property/Existence of multiplicative inverse/Modulative property/Result

The function [tex]f(x) = \frac{x^{2}-4}{x^{3}-3\cdot x^{2}-10\cdot x}[/tex] has a zero: [tex]x = 2[/tex], and two poles: [tex]x = 0[/tex] and [tex]x = 5[/tex].

Need help quick someone help!

Answers

X = 6

To solve this problem, you multiply both sides by 3. Next you divide both sides by 2
X=6 is the answer to the question

Roger just ran 5 laps. He is at 20% of his goal.

How many more laps until he is finished reaching

his goal?

25 laps The Principal never visited the arts section.

4 laps The Principal never visited the bathroom

15 laps The Principal never visited the History section

20 laps The Principal never visited the office or arts

section.

Answers

Answer: 20 laps

Step-by-step explanation:

Given

Roger just ran 5 laps and completes 20% of his goal

Suppose his goal is x laps

So, 20% of x must be equal to 5

[tex]\Rightarrow 20\%\times x=5\\\Rightarrow 0.2x=5\\\\\Rightarrow x=\dfrac{5}{0.2}\\\\\Rightarrow x=\dfrac{50}{2}\\\\\Rightarrow x=25\ \text{laps}[/tex]

So, he needs 20 more laps to complete his goal.

365.12x =36,512 please help ​

Answers

Answer:

x = 100

Step-by-step explanation:

365.12 x = 36512

36512 / 365.12 = x

x = 100

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Need help quick and fast!

Answers

(1) step by step below
Answer: 5a+2b+10

=a(6-1)+3b-b(2-1)+10
=a•5+3b-b•1+10
=5a+3b-b+10
=5a+2b+10

What can happen when excessive (too many trace elements are lost from
the body?

Answers

Answer:

im not sure but

Step-by-step explanation:

Deficiency of major elements can lead to nutritional disorders, and their presence in excess can cause obesity. Deficiencies or excess states of semi-major elements often result in water and electrolyte abnormalities

Can someone please tell me what the equation would be and how I would show it

Answers

Answer:

Step-by-step explanation:

3x-4y-15=0

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = 15/3 = 5

y-intercept = 15/-4 = -3.75000

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   3x-4y-15  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-4y-15  = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000

y-intercept = 15/-4  = -3.75000

Calculate the X-Intercept :

When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000

x-intercept = 15/3  =  5

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

  Slope     =  1.500/2.000 =  0.750

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = 15/3 = 5

y-intercept = 15/-4 = -3.75000

Hope This Helps!!!

PLS HELP I KEEP GETTING SPAMMED PLEASEE

EXPLANATION = BRAINLIEST

the area of the triangle is ____ square in

Answers

Answer:

A = 56 Sq.in

Step-by-step explanation:

A = H x B/2

A = 8 x 14

= 112/2

= 56

THank you!!

5. The property depicted in the expression 2/( 3) ×(1/3+ 4/5)=(2/3 × 1/3)+(2/3 × 4/5) is *
associative property of addition
associative property of multiplication
distributive property of multiplication
closure property of multiplication

Answers

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

a(b + c) = ab + ac

The a to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.

2/3 × (1/3 + 4/5) = (2/3 × 1/3) + (2/3 × 4/5)

The 2/3 to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.

WHOEVER ANSWERS FIRST WINS BRAINLIEST!
Multiply.
4 1/6 × 5 3/5

Answers

Answer and Step-by-step explanation:

Convert the numbers into improper fractions.

[tex]\frac{25}{6} ,\frac{28}{5}[/tex]

Now, multiply the numbers.

[tex]\frac{700}{30}[/tex]

Finally, simplify.

[tex]\frac{70}{3}[/tex] is the answer.

#teamtrees #PAW (Plant And Water)

Find the area of PQRS. (Hint: Use the Pythagorean Theorem to find the height .)

Answers

Height = sqrt(5^2 - 4^2) = sqrt(9) = 3

Area = length x height
Area = 8 x 3 = 24m^2

у=-3x+3
y = -9x + 15

Answers

Answer:

(2, - 3 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 3 → (2)

y = - 9x + 15 → (2)

Substitute y = - 3x + 3 into (2)

- 3x + 3 = - 9x + 15 ( add 9x to both sides )

6x + 3 = 15 ( subtract 3 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

y = - 3(2) + 3 = - 6 + 3 = - 3

solution is (2, - 3 )

The question is in the pic.

Answers

Answer:

$100

$120 in and $20 out

Step-by-step explanation:

Answer:

the answer is $100

because if the bank is loosing 2% they are having to pay $20 bc 0.02 x 1,000= 20, and they are earning 12% they getting 120 bc 0.12 x 1,000 = 120, and 120-20= $100. you have to subtract the $20 because that is what the bank is paying, so it's losing money

If a test consists of ten mulitpel choice questions,with each permiting aposible answers.How mmany ways are ther in wvhich a student give his answer?

Answers

The question given is incomplete, find the possible version in the comment below.

Answer:

9765625 ways

Step-by-step explanation:

To solve questions of this kind, we can apply the product rule ;

We have 10 different questions, each with 5 alternative options, even though there is only one correct answer, the number of answers that can be chosen (either correct or incorrect) is 5 ;

Therefore, we have 5 possible choices for each question :

Question 1 = 5 ; question 2 = 5,....

This can be written as :

5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 = 5^10 = 9765625 ways

50 Pts!!!!!!! What is the straight line distance between the points?

Answers

The straight line distance is the square root of 74 ( which is APROXÍMATELY 8.602)

A prism with a volume of 148 cubic cm is dilated by a factor of 5.5.

The volume of the dilated prism is ___ cubic cm.

Answers

volume = 148 × 5.5 cube

= 24623.5 cubic cm

Fill in the missing numbers : )​

Answers

Answer :

The Missing numbers are :

[tex] \boxed{1.9}[/tex]

[tex] \boxed{3.4}[/tex]Solution :

Each term in the pattern is formed by the successive addition of " 0.5 " in the previous term.

therefore, the sequence will be like :

[tex] \hookrightarrow1.9, \: 2.4, \: 2.9, \: 3.4, \: 3.9, \: 4.4[/tex]

And, missing terms are :

1.9 and 3.4 respectively

[tex] \mathfrak{hope \: it \: helps \: you.....}[/tex]

Which expression is equivalent to 4(2x + 1)?
8x + 1
8x +4
6x + 5
O
2x + 4

Answers

Answer:

8x + 4

Step-by-step explanation:

You just gotta distribute 4(2x+1) and it gives you the expression 8x + 4

An airplane covers 1824 km in an hour How much distance will it cover in 3.7 hours​

Answers

Answer:

6748.8 km

Step-by-step explanation:

in 1 hour = 1824

in 3.7 hour = 1824×3.7

=6748.8 km

P= -4b^2+6b-9
Q= 7b^2-2b-5
P-Q=

Answers

Answer:

P - Q = - 11b² + 8b - 4

Step-by-step explanation:

P - Q

= - 4b² + 6b - 9 - (7b² - 2b - 5) ← distribute parenthesis by - 1

= - 4b² + 6b - 9 - 7b² + 2b + 5 ← collect like terms

= - 11b² + 8b - 4

CUAL ES LA MITAD DE 30

Answers

Answer:

15

Step-by-step explanation:

30/2=15

The triangle inequality

Answers

The answer is the first choice: 7, 15, 20.
When you want to know what three numbers can make up a triangle. All you have to do is take the first two numbers and add them up. If the sum is larger than the third number, it can form a triangle. If the sum of the first two numbers are smaller than the third number, it cannot form a triangle.
Hope this helped

Which of the following does not represent a function?

Answers

C, the circle because it fails the vertical line test.
It’s C because I did the math I hope you get the right answer and a good day

(x+0)(x+5) what does this mean im confused whats the answer

Answers

That’s what you get when factoring an equation

Answer:

You can't get an answer to this unless you know what x is. The reason you can't solve is because it is factored down to the lowest form, but if you need to make an equation. Here is one: x^2 + 5x

Use a net of the square pyramid, if necessary, to find the surface area of the pyramid.

Answers

Answer:

128 if it wants the whole thing than 192

Step-by-step explanation:

Which of the following conditions are sufficient to show that the two polygons are congruent?


A. Slopesc = Slopen and slopezo = slopeo


B. The lengths of all corresponding sides are equal: AB = LM, BC = MN, CD = NO, AD = LO.



C. None. The polygons cannot be congruent because they have different orientations.


D. The rise and run of the translation between each pair of corresponding points are the same.​

Answers

Answer:

(B) Two number is the answer of your question.

Please give real answers with an explaination. 50 points + I will follow + I will give brainliest + 5-star rated. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

B

Step-by-step explanation:

Look at the figures below.

Figure A.

The median of a quadrilateral was drawn as the red segment. It split the interior angle of the quadrilateral into angles 1 and 2. Angles 1 and 2 are clearly not congruent. Statement A is false.

Figure B.

The red segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Statement B is true.

Figure C.

The red midsegment cuts the triangle into two areas, crosshatched in blue and green. The areas are clearly not equal, so statement C is false.

Need help please!! :)

Answers

Answer:

[tex]A: (-3,1)[/tex]

[tex]B:(-1,-1)[/tex]

[tex]d=\sqrt{(-3-(-1)^{2} +(-1(-1))^{2} }[/tex]

[tex]=\sqrt{(-2)^{2}+(2)^{2} }[/tex]

[tex]=\sqrt{4+4}=\sqrt{8}[/tex]

[tex]=2\sqrt{2} =2.8[/tex]

---------------------

hope it helps..

have a great day sis ^_^!!!

Answer:

Coordinates of :-

A= (-3,1)

B= (-1,-1)

Distance AB= [tex]\sqrt{-2+3)^{2}+(-1-1)^{2} }[/tex]

[tex]\sqrt{(2)^{2} +(-2)^{2} }[/tex][tex]=\sqrt{4+4}[/tex][tex]=\sqrt{8}[/tex][tex]=2.8[/tex]

OAmalOHopeO

a rectangular solid box measures 2.17 feet by 4.05 feet by 480 inches. in cubic yards, what is the volume of the box? express your answer as a decimal to the nearest tenth

Answers

Answer:

117.18 yards

Step-by-step explanation:

480in=40ft

2.17x4.05x40=351.54tf

351.54ft=117.18yrds

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