For what values of x does 25× - 5ײ-3?
O x = -3, x = 1
O x = -1, x = 3
3
0 X=-²2/₁X-2
Ox
3
O x= -2, x=-2/

For What Values Of X Does 25 - 5-3?O X = -3, X = 1O X = -1, X = 330 X=-2/X-2Ox3O X= -2, X=-2/

Answers

Answer 1

Answer:

X = 3, -1; B

Step-by-step explanation:

Use log properties, log 5 on both sides, log 5 of 25 is 2 that times the exponent, so 2*x = 2x, and on the other side, log 5 and base of 5  cancels. So 2x = x^2 -3, which can be solved using factoring:

x^2 -2x -3 = (x-3)(x+1) = 0, x=3,-1

Answer 2

The value of x in 25ˣ = 5ˣ²⁻³ is x =3 or x = -1.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given that the equation is 25ˣ = 5ˣ²⁻³.

To solve the equation, take logs on both sides, we get,

x log(25) = (x²- 3)log5

2x log 5 = (x²- 3) log5

2x = x²-3

x²- 2x -3 = 0

Now, factorize the quadratic equation,

we get,

x² - 3x + x - 3 = 0

x(x- 3) + 1(x - 3) = 0

x = 3 or -1.

Therefore, x = 3 or x = -1.

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Related Questions

Which of the following phrases does not translate to n - 5?

1. the difference between a number and five
2. a number decreased by five
3. a number subtracted from five
4. a number minus five

Answers

Answer:

3

Step-by-step explanation:

3
Reason: (-5) comes after “n” which means nothing is being subtracted from five, but five is being subtracted from “n”

Table I contains outputs of the function f(x)=b^xf(x)=b
x

I need help

Answers

Answer: Table 1: Answer = 1. 404

Table 3 Answer = 1.66

Step-by-step explanation: i hope it's right if not, tell me

An investment group compares returns on an account against the function represented in the table, where x is the time in years and f(x) is the total return on investment.



Which describes the function over the interval given in the table?

a decreasing quadratic function
an increasing quadratic function
a decreasing exponential function

Answers

The function over the interval is an increasing exponential function.

What is quadratic function?

A quadratic function is" a polynomial function with one or more variables in which highest exponent of variable is 2".

The complete question is

An investment group compares returns on an account

against the function represented in the table, where x is the

time in years and f(x) is the total return on investment.

Which describes the function over the interval given in the

table?

х

a decreasing quadratic function

an increasing quadratic function

a decreasing exponential function

an increasing exponential function

0

5

f(x)

10,000

12,201.90

14,888.64

22,167.15

10

20

A decreasing quadratic function is the vertex of the parabola lies on the axis parabola. So, time in years change does not give maximum total return on investment.

For increasing quadratic equation, the graph increasing at one side of the axis and decreases at other side.

For, Exponential function          

When the exponential function then it shows total return on investment is not maximum.

When the exponential function is increasing it shows time goes, total return on investment is maximum.

Hence, the exponential function is increasing.

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A population can be divided into two subgroups that occur with probabilities 60% and 40%, respectively. An event A occurs 30% of the time in the first subgroup and 50% of the time in the second subgroup. What is the unconditional probability of the event A, regardless of which subgroup it comes from

Answers

The unconditional probability of the event A, regardless of which subgroup it comes from is 38%

How to determine the probability?

Let the events be represented as:

A ⇒ The event A happeningB ⇒ First subgroupC ⇒ Second subgroup

So, we have:

P(B) = 60%

P(C) = 40%

P(A | B) = 30%

P(A | C) = 50%

The probability is then calculated as:

P = P(A | B) * P(B)  + P(A | C) * P(C)

Substitute known values

P = 30% * 60% + 50% * 40%

Evaluate the product

P = 38%

Hence, the probability is 38%

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Question 20 The sports budget for cricket, football, and netball was divided in the ratio 5: 3:2, respectively. The total sports budget is $1.200,000. How much money will netball receive? A. B. C. D. + O A OB O C O D $120,000 $240,000 $360,000 $600,000 Question 20 The sports budget for cricket , football , and netball was divided in the ratio 5 : 3 : 2 , respectively . The total sports budget is $ 1.200,000 . How much money will netball receive ? A. B. C. D. + O A OB O C O D $ 120,000 $ 240,000 $ 360,000 $ 600,000​

Answers

Using proportions, it is found that the amount that netball will receive is of:

B. $240,000

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Due to the ratios, the proportion of funding that is destined to netball is given by:

[tex]p = \frac{2}{5 + 3 + 2} = \frac{2}{10} = 0.2[/tex]

Hence, out of $1.200,000, the amount destined to netball is:

A = 0.2 x $1.200,000 = $240,000.

Which means that option B is correct.

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How many four-digit odd numbers less than 6000 can be formed using the digits 2, 3, 4, 5, 6, and 8?

Answers

Answer:

288

Step-by-step explanation:

First position choice:   4 numbers

Second                         6 numbers

Third                             6

Fourth                           6

       TOTAL 4 digit numbers   4 * 6 * 6 * 6 = 864 combos

             2 out of 6 of these will end in 3 or 5  (thus making an odd number)

                    864 * 2/6 = 288 such numbers

HELPPPPPPPPPPPPPPPPP PLEASE

Answers

Y=-4
X=2
Yeah that’s all I got to say lol

this is not the answer i was looking for

Answers

oh okay sorry about it

can someone please help meee

Answers

Step-by-step explanation:

Well the first 3 you just plug in the value of x which results in.

a. f(0) = 7(0)^2 + 3(0) - 2

   f(0) = -2

b. f(2) = 7(2)^2 + 3(2) - 2

   f(2) = 7(4) + 6 - 2

   f(2) = 28 + 4

   f(2) = 32

c. f(-2) = 7(-2)^2 + 3(-2) - 2

   f(-2) = 7(4) - 6 - 2

   f(-2) = 28 - 8

   f(-2) = 20

for the last ones it's essentially the same thing except the value a is not known

d. f(a+1) = 7(a+1)^2 + 3(a+1) - 2

   f(a+1) = 7(a^2 + 2a + 1) + 3a + 3 - 2

   f(a+1) = 7a^2 +14a + 7 + 3a + 1

   f(a+1) = 7a^2 + 17a + 8

c. f(-a) = 7(-a)^2 + 3(a) - 2

   f(-a) = 7a^2 + 3a - 2

What is sin and cos ​

Answers

    Sin and cos are trigonometry functions used to find measurements in a right triangle.

         [tex]\displaystyle sin=\frac{\text{opposite side}}{hypotenuse}[/tex]

         [tex]\displaystyle cos=\frac{\text{adjacent side}}{hypotenuse}[/tex]

What is the value of the element in row 1, column 1 of matrix x? [4 y 0 1] x= [y 4]

Answers

The value of the element in row 1, column 1 of matrix x is; y.

What is the value of the element in row 1, column 1 of matrix x?

According to the task content, it follows that matrix x is defined as; x= [y 4].

In essence, it follows that the matrix x contains one row and 2 columns. Therefore, the element in row 1, column 1 of matrix x is; y.

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Answer: A

Step-by-step explanation:

which property is illustrated for all expressions a and b if a=b then b=a

Answers

Answer:

Symmetric property

The table lists the average monthly cost to workers for family health insurance for various years.
a) Use a graphing calculator to fit a regression line to the data.
b) Predict the average monthly cost to workers for family health insurance in 2021, and compare the value with $510.37, which
is obtained using the points (1,338) and (4,385).
c) Find the correlation coefficient for the regression line, and determine whether the line fits the data closely.

Answers

Answer:

5 dollars :)

Step-by-step explanation:

ig

What number is exactly between 3.8 and 4.1

Answers

The mid-point of the numbers 3.8 and 4.1 will be 3.95.

What is the midpoint of line segment AB?

Let C be the mid-point of the A and B.

C = (A + B) / 2

The numbers are given below.

3.8 and 4.1

Then the mid-point of the numbers 3.8 and 4.1 will be

C = (3.8 + 4.1) / 2

C = 7.9 / 2

C = 3.95

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In a rectangle the length of diagonal AC is given by (20x+12)&BDis (14x+24)cm find AC&BD​

Answers

Answer:

52cm, based on my understanding of the question.

Step-by-step explanation:

See attached image.  Please confirm my understanding of the question.

I need help for the question in the pic please help. thank you

Answers

Answer:

The value of x is 117°  by using Alternative interior angle theorem

Step-by-step explanation:

Alternative interior angle theorem: It states that the angles made by transverse between two parallel lines are congruent.

as in figure

Angle A = 42°

Angle B = 108°

Angle C = x

Angle D = 51°

draw two parallel lines passing through B and C .

According to Alternative interior angle theorem angle B is written as 42° + 66°

and angle C is written as x1 + x2 .

Now x1 = 51° as x1 and D are alternative angles

And similarly x2 = 66°

As x = x1 + x2

Therefore x = 51° + 66° = 117°

The value of x is 117°

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By solving the equation a = 2 - 9a, the value of a will be:-

A- 2/5
B- 3/5
C- 1/5
D- 1/2

Answers

C- 1/5

Step-by-step explanation:

a = 2 - 9a

10a = 2

a = 2/10

a = 1/5

Hope u got it (◠‿・)—☆

Answer: C) 1/5

Step-by-Step Explanation:

a = 2 - 9a
a + 9a = 2
10a = 2
a = 2/10
=> a = 1/5

Therefore, a = 1/5

Find the total surface area of a regular pyramid with a square base if each edge of the base is 16 inches, the slant height of one side is 17 inches, and the altitude is 15 inches.

Answers

Answer:

the answer you're looking for is 60 inches

The perimeter of the base is 4 s since it is a square.

p = 4(16) = 64 inches

The area of the base is s².

B = 16² = 256 inches ²

[tex]\boldsymbol{CST=\dfrac{1}{2}(64)(17)+256=544+256=800 \ inches^{2} }[/tex]

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

$9,500 is invested in an account earning 9.1% interest (APR), compounded
quarterly. Write a function showing the value of the account after t years, where t
annual growth rate can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the percentage
growth per year (APY), to the nearest hundredth of a percent.

Answers

Answer:

$100.5000

Step-by-step explanation:

becuse $9,500 is fived and it got it

Distribute to create an equivalent expression with the fewest symbols possible.
4(5+y)

Answers

Answer:

20 + 4y

Step-by-step explanation:

To have to fewest symbols possible, we must simplify the expression by multiplying 4 into the numbers within the parenthesis. Doing so we get:

[tex]4(5+y) = 4 * 5 + 4 * y = 20 + 4y[/tex]

Answer: 20+4y

Step-by-step explanation:

Hi, let me help you.

What we should do to simplify this expression is to "distribute" 4.

The parentheses around 5+y tell us to multiply 4 times both 5 and y. This is shown below.

[tex]\multimap\quad \tt 4\cdot5+4\cdot y[/tex]

[tex]\multimap\quad\tt 20+4y[/tex] is what we obtain upon multiplying

________________

Hope I helped. Best wishes.

Reach far. Aim high. Dream big.

____________________

Smith rides his cycle at the speed of 10 mile per hour. How many miles smith travels in 4 hours ?

Answers

Answer:

40 miles

Step-by-step explanation:

10X4

The answer is 40 miles

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

If he consistently rides ten mph (miles per hour) for 4 hours (4*10) he would have ridden 40 miles.

Estimate
12.4 × 18
—————-
0.012

Answers

Answer: 12.4 x 18

-------------- = 18600

0.012

The two right-angled triangles below are
similar, which means that they have the
same angles.
a) Write down the value of sin as a
fraction in its simplest form.
b) Work out the length x.
8 cm
3 cm
16 cm
X
Not drawn accurately

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex] \tt{sin(\Theta) = \cfrac{3}{8}} [/tex]

[tex]\qquad \tt \rightarrow \: x = 6\:\: cm[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: \sin( Theta) = \cfrac{Opposite \:\: side}{Hypotenuse}[/tex]

[tex]\qquad \tt \rightarrow \: \sin( \Theta) = \cfrac{3}{8} [/tex]

since the Triangles are similar, ratio of their corresponding sides are equal :

[tex]\qquad \tt \rightarrow \: \sin( \Theta) = \cfrac{3}{8} = \dfrac{x}{16} [/tex]

[tex]\qquad \tt \rightarrow \:x = 16 \sdot \cfrac{3}{8}[/tex]

[tex]\qquad \tt \rightarrow \: x = 2 \sdot3[/tex]

[tex]\qquad \tt \rightarrow \: x = 6 \: \: cm[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Since  the two right-angled triangles have the same angles, the values are; ai. sin θ= 3/8ii. sin θ= x/16b. x = 6cm

How to determine the value

Using the sine trigonometric identity expressed as;

sin θ = opposite/hypotenuse

Then, we have that for the first triangle;

sin θ= 3/8

For the bigger triangle;

sin θ= x/16b.

Then, since we have that the sine identity is;

sin θ= x/16

But sin θ= 3/8

Divide the values and find the sine inverse in

θ= 0. 375θ = 22. 0 degrees

x = 0. 375 (16)

Multiply

x = 6 cm

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Which function is shown in the graph below?

Answers

Answer: c

Step-by-step explanation:

It has been given that the point (3,1) is on the graph.

And in order for the point (3,1) to lie on the graph, of all the given options the closest we can get is when we have Option C

2. Estimate the square root to the nearest integer. 5 4 6 7

Answers

ggggggggggggggggggggggg

A box contains
toffee, coffee, orange, mint and hazelnut
flavour chocolates.
The ratio of toffee: coffee: orange : mint chocolates is 5:4:2:3
The
probability of picking a hazelnut chocolate i5 g
How many hazelnut chocolates are in the box?

Answers

The probability of picking a hazelnut chocolate is 1/5 and the number of hazelnut chocolates in the box is 1

How to determine the probability

Note that the ratios =  5:4:2:3

toffee: coffee: orange: mint chocolates = 5:4:2:3:1

Total ratio = 15

Probability of picking a hazelnut chocolate = ratio of hazelnut chocolates/ total ratio

Probability of picking a hazelnut chocolate  = [tex]\frac{1}{15}[/tex]

The number of hazelnut chocolates in the box is gotten from the ratio which is 1

Therefore, the probability of picking a hazelnut chocolate is 1/5 and the number of hazelnut chocolates in the box is 1

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Pls help me solve this equation

Answers

Answer:

a

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

to find c substitute (6, 4 ) into the partial equation

4 = 2 + c ⇒ c = 4 - 2 = 2

y = [tex]\frac{1}{3}[/tex] x + 2 ← equation of line


y = 1/4x + 5, (−1, 6)

Answers

Answer:

This point is not on the line, NOT TRUE

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

           b represents the y-intercept

where the format of a point is (x, y)

Given: y = 1/4x + 5, (−1, 6)

we can plug in the point (−1, 6)

6 = 1/4(-1) + 5

6 = -1/4 + 5

6 = 4.75

6 does not equal 4.75 so this point is not on the line

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Isabella has a dozen apples of the same size and a dozen
watermelons of the same size. Isabella uses her juicer to extract 15
ounces of watermelon juice from 3 watermelons and 5 ounces of
apple juice from 9 apples. She makes a watermelon-apple juice
blend from an equal number of watermelons and apples. What
percent of the blend is watermelon juice?

Answers

80% cause I know cause um smart

90 per cent of the blend is watermelon juice.

Given that, Isabella has a dozen apples of the same size and a dozen watermelons of the same size.

Isabella uses her juicer to extract 15 ounces of watermelon juice from 3 watermelons and 5 ounces of apple juice from 9 apples.

We need to find what per cent of the blend is watermelon juice.

What is per cent?

The percentage is a relative value indicating the hundredth part of any quantity. One per cent (symbolized 1%) is the hundredth part; thus, 100 per cent represents the entirety and 200 per cent specifies twice the given quantity.

Given that, she makes a watermelon-apple juice blend from an equal number of watermelons and apples.

So if she takes 9 apples, she can extract 5 ounces of juice.

By taking the same number of watermelons, that is 9 she can extract 15×3=45 ounces of juice.

Per cent of watermelon juice in the blend=45/50 ×100= 90%

Therefore, 90 per cent of the blend is watermelon juice.

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Can you answer the question

Answers

well if its asking for an exponent then its (-5)⁴

The correct answer would be (-5)^4.

Explanation : (-5) to the power of 4, or, 625.
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