Mathematics High School

1) x-1+5[tex]\sqrt{x-1\\}[/tex]+3=0
4) [tex]x^{4}[/tex] -64=0

Answers

Answer 1

Answer:

See explanation below

Step-by-step explanation:

Find the value of x in each of the following

1) x-1+5√x-1+3=0

5√x-1 = -x -2

Square both sides

25(x-1) = (-x-2)^2

25(x-1) = x^2+4x + 4

25x-25 = x^2+4x + 4

x^2 +4x + 4 - 25x + 25 = 0

x^2 - 21x + 29 = 0

x = 21±√21²-4(29)/2

x = 21±√441-116/2

x = 21±√325/2

x = 21±18.03/2

x = 21+18.03/2 and 21-18.03/2

x = 19.515 and 1.485

4)  x^4-64=0

x^4 = 64

[tex]x = \sqrt[4]{64}[/tex]

x = 2.83

Related Questions

Evaluate the following expression
8 to the power of 3–9•2 divided by 3

Answers

Answer:

0.485 in decimals

0.485 that’s the answer


12. In y > x + 4, where can we find the solution set?
A. above the line
C. in the line
B. below the line
D. no solution set

13. The statement, "the sum of two numbers is at least 29" can be expressed as:
A. x + y > 29 B. x + y < 29 C. x + y = 29 D. x + y = 2

14. The elevator has a maximum capacity (C) of 8 persons. Which of the following mathematical statement represent the given situation?
A.C = 8
B. C < 8
C. c 28
D. none of these

15. Bryan bought 6 chocolate candies and 3 lollipops. If x represent the cost of
chocolate candies and y represent the cost of lollipops, what will be the
mathematical representation of the total cost if he paid at most Php50?
A.6x + 3y > 50
C. 6x + 3y > 50
B.6x + 3y = 50
D. 6x + 3y < 5​

Answers

Answer:

1) D

2)A

3)D

4)A

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Answer:

I hope I can help you

Step-by-step explanation:

I hope I can help you

5 chocolate bars cost £3.80
How much do 7 chocolate bars cost?

Answers

Step-by-step explanation:

divide 5 by 3.80 and then the multiply the answer by 7

Answer:

7 chocolate bars=£5.32

Step-by-step explanation:

3.80÷5=0.76(one chocolate bar)

0.76×7=5.32(7 bars)

A car dealership pays $8,550 for a car. They markup the price by 20.4% to get the retail price. What is the retail price of the car at this dealership? *

Answers

Answer:

$9802.90

Step-by-step explanation:

$9802.90

Step-by-step explanation:

17.4%  = 0.174

So retail price = 8,350 + 8,350 * 0.174

= $9802.90

can someone help me please

Answers

Answer:

1A) XY

1B) XY

1C) WX/XY

2) WY is the hypotenuse

Step-by-step explanation:

what is the additive inverse of -15 and 15

Answers

For -15 its 15, and for 15 it's -15

Answer

-15

Step-by-step explanation:

-9x = 10 - 2y
-48 = 4x+10y

Answers

Answer:

x=−2 and y=−4

Step-by-step explanation:

I will solve your system by substitution.

(Add -4x to both sides)

(Add 48 to both sides)

(Divide both sides by -4)

(Simplify both sides of the equation)

(Add 2y to both sides)

(Add -108 to both sides)

(Divide both sides by 49/2)

(Simplify both sides of the equation)

Answer:

x=−2 and y=−4

I hope this helps :)

The answer is x= -2 and y= -4 have a nice day:)

Plz help plzzzzzzzzz

Answers

Answer:

4th option OR last option

Step-by-step explanation:

Ok so I think it means hexagon not heptagon since I have never heard of heptagon. Just confirm that with your teacher if it is hexagon or heptagon.

Hexagon = 6 sides

This means that it is not second option. Nor it is the third option since it said that it should be more than 6 sides. Now we are left with 1st and 4th option. It also mentioned that all opposite sides should be parallel. Looking at the first option, not all sides are parallel. Some are big and some are small. This remains with the last option which is the 4th option.

Hope this helps, thank you !!

seeta devi has rs 9 in fifty-paiseand twenty fiv-paise coins. She has twice as many twenty-five paise coins as fifty-paise coins.How many coins of each kind does she have?

Answers

Answer:

50 paise coin = 9

25 paise coin = 18

Step-by-step explanation:

Let :

Number of fifty paise = x

Number of 25 paise = y

50x + 25y = 900 - - - (1)

y = 2x - - - (2)

50x + 25(2x) = 900

50x + 50x = 900

100x = 900

x = 900/100

x = 9

y = 2x

y = 2(9)

y = 18

PLEASE HELP! I WILL AWARD BRAINLIEST
Sherbrooke, Quebec Is 210 miles from Boston, MA. A train leaves Boston at noon and arrives in Sherbrooke at 4:40 PM. On the return to Boston, the train travels 50.4 mph. How many times (or less is the train's speed on the return trip to Boston than the trip to Sherbrooke?

Answers

Answer:

Both trains will meet 120 miles away from Boston

Answer:

Both trains will meet 120 miles away from Boston!!!

Step-by-step explanation:

trust me on this i honestly dont know how to explain this

Jerome deposits $3500 in a certificate of deposits that pays 1.8% interest compounded annually. How much Interest does jerome earn in 1 year?​

Answers

3,500(1.8%) = 63


Jerome will earn 63 more dollars in the next year.

$3,563

need help asap!! first gets brainliest

Answers

Answer:

-45

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

What is the volume of the cone below?

Answers

Answer:

yo try D

Step-by-step explanation:

im pretty sure bc 6 turns to 12 so 22 times 12

What is the y-intercept of the line 3x – 4y = 24?
(-6, 0)
(0, -6)
(8, 0)
(0, 8)

Answers

Answer:

(0, -6)

Step-by-step explanation:

To find the y-intercept(s), substitute in 0 for x and solve for y.

3 × 0 - 4y = 24

y = -6

good luck, hope this helps :)

Y=-6 that the awnser

Does anyone have the answer to this? Please and ty lol

Answers

it will be 0,7 and 1,9

solve the equation -30p-2=58 for p.

Answers

Answer:

p=-2

Step-by-step explanation:

1.Combine like terms on both sides.

2.Subtract 6 y 6y 6y on both sides to keep the variable y to the left side only.

3.Add 11 to both sides of the equation.

4.Finally, divide both sides by −10 to get the solution.

I need an answer for this it’s due today plss

Answers

Answer:

128

Step-by-step explanation:

2^4/2^-3

= 2^7

=128

I'm unsure how to do this question,, could someone help?

Answers

This is corresponding so...hope this helps!

List down 3 biotic and 3
abiotic components of
ecosystem mentioned in
the video clip. From the
given examples, how do
they affect other
organisms in the
community in this time of
pandemic?​

Answers

Examples of abiotic factors are water, air, soil, sunlight, and minerals. Biotic factors are living or once-living organisms in the ecosystem. These are obtained from the biosphere and are capable of reproduction. Examples of biotic factors are animals, birds, plants, fungi, and other similar organisms.

the hypotenuse of a triangle is 5in and leg one is 4in how long is leg two

Answers

So you do a^2+b^2=c^2 so hypotenuse is the longest long so it is c and other leg can be b or a it doesn’t matter as long as you have 5 for c so a^2+4^2=5^2
a^2+16=25
I squared the numbers 4times4=16 and 5times5=25
Now you minus 16 because we are trying to figure out what “a” is or other words leg two
So 25-16=9
Now a is still square so be got to take the square 2 away and square 2 is also know as square root so a= 3 the other leg is 3
Check
3^2+4^2=5^2
9+16=25
25=25

Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply. − 9 ⋅ ( 2 3 x ) + 9 ( 1 ) − 9 ⋅ ( 2 3 x ) − 9 ( 1 ) − 6 x + 9 − 9 ⋅ ( 2 3 x ) + 1 − 6 x − 9 − 6 x + 1

Answers

Answer:

•(-9 × 2x/3 + 1 × -9)

•-6x - 9

Step-by-step explanation:

Which expressions are equivalent to Negative 9 (two-thirds x + 1)?

Check all that apply.

Negative 9 (two-thirds x + 1) can be expressed as:

-9(2/3x + 1)

Expanding the brackets

(-9 × 2x/3 + 1 × -9)

-6x - 9

Therefore, the expressions that are equivalent to Negative 9 (two-thirds x + 1) is:

•(-9 × 2x/3 + 1 × -9)

•-6x - 9

Answer:

Its  B and F

Step-by-step explanation:

pls help with number 3

Answers

Answer:

3<n+5

Step-by-step explanation:

...................

Answer:

n+5-3

Step-by-step explanation:

"Less then" means subtraction and it is less than a number (marked as "n" in this example) plus 5 (+5). If you translate this into an equation, you would get n+5-3.

A sum yields an interest of Rs. 900 at 15% simple interest per annum in 4 years. Find the sum.

Answers

Answer:

[tex]15[/tex]

[tex]i \: = prt \\ p = \: \frac{i}{rt} \: \: \: \: \: \: i = 900 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: r = 15 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: t = 4 \\ p = \frac{900}{15 \times 4} \\ = \frac{900}{60} \\ [/tex]

[tex]p = \frac{30}{2} \\ = 15[/tex]

10. Write 144 with an exponent by using 12
as the base.


Answers

Answer:

12^12

Step-by-step explanation:

pls pls pls help me. I cant solve it.

Answers

Answer:

1 /a −b

Step-by-step explanation:

=a(a^-b^) + b(a^-b^)
=a^-ab^+ab^-b^
=a^-b^

Mr. Strand mowed 2/5 of his lawn. His son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?

Answers

Answer: Mr. Strand mowed most of the lawn, and 7/20 of the lawn still needs to be mowed.

Step-by-step explanation:

Part 1:

We can use change the fractions so that they have equivalent denominators. The Least Common Denominator that the two fractions have is 20.

2/5 = 8/20.

1/4 = 5/20.

Because of this, Mr. Strand, who mowed 2/5 of the lawn, mowed most of the lawn.

Part 2:

8/20 + 5/20 = 13/20. Therefore, 7/20 of the lawn still needs to be mowed.

In conclusion, Mr. Strand, who mowed 2/5 of the lawn, mowed most of the lawn. 7/20 of the lawn still needs to be mowed.

Answer:

Step-by-step explanation:

0.65 of the lawn was mowed

Evaluate 5(x + 2) - 12 + 3 for x = 1
answers:
26
1
0
11

Answers

Answer:

Step-by-step explanation:

Putting value of x = 1

5(x + 2) - 12 + 3

5((1) + 2) - 9

5(3) - 9

15 - 9

6

luca sells muffins and juice boxes. muffins are $1.50 each and jucie boxes are $1.25 each. write an algebraic expression for the total income luca received from the sale of muffins and juice boxes​

Answers

Answer:

1.5m+1.25j

Step-by-step explanation:

m equals the number of muffins sold, and because each muffin sells for $1.50, 1.5m represents the income made from the muffins.

Same thing with the juice boxes, j equals the number of juice boxes sold, and because each juice box sells for $1.25, 1.25j represents the income made from the juice boxes.

Add the income from both of them to get the total income, and you get 1.5m+1.25j.

Choose all equations that are equivalent to the equation: 4x−12y=18

a. 2x−6y=9

b. 8x−24y=36

c. 2x−9y=18

d. y= −3/2x + 1/3x

Answers

Answer:

a & b

Step-by-step explanation:

a is the simplified form

b is doubled

hope this helps :)

Factor out the greatest common factor of Given the expression: 4x^10 − 64x^2

​

Answers

Part A

4x10 – 64x2

= 4x2 * x8 – 4x2 * 16

= 4x2 * (x8 – 16) by distributive property

Part B

x8 is (x4)2 and 16 = 42 so a difference of squares is seen in the parentheses. The pattern a2 – b2 = (a + b)(a – b) can be used.

4x2 * (x8 – 16)

= 4x2 * (x4 + 4) * (x4 – 4)

x4 = (x2)2 and 4 = 22 so there is another difference of squares in the last factor. Use the pattern again.

= 4x2 * (x4 + 4) * (x2 + 2) * (x2 – 2)

Answer:

Below.

Step-by-step explanation:

The GCF = 4x^2

So its 4x^2(x^8 - 16)

This can be further factored

= 4x^2(x^4 - 4)(x^4 + 4)

= 4x^2(x^2 - 2)(x^2 + 2)(x^4 + 4)

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