Factor the expression and use the factor to find the x-intercepts of the quadratic relationship it represents.

The x intercepts occur where x= ___ and x= ___

Answer:

  8.2 million years

Step-by-step explanation:

The time can be found from ...

  time = distance/speed

  time = (47.0×10^4 m)/(5.7×10^-2 m/yr) = 8.2×10^6 yr

It will take about 8.2 million years for LA to have the same latitude as SF.

__

The given numbers each have 2 significant digits, so the answer is appropriately rounded to 2 significant digits.

Answer: D. [tex] f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n) [/tex]

Step-by-step explanation:

The given sequence:  [tex]4, -2,1,\dfrac{-1}{2},\dfrac14,....[/tex]

Here, first term: [tex]f(1)=4[/tex]

Second term: [tex]f(2)=-2[/tex]

Third term : [tex]f(3)=\dfrac{-1}{2}[/tex]

It can be observed that it is neither increasing nor decreasing sequence but having the common ratio.

Common ratio: [tex]r=\dfrac{f(2)}{f(1)}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]

So, [tex]f(n+1)=\dfrac{-1}{2}f(n)[/tex]  [as in G.P. nth term= [tex]a_{n+1}=ar^n[/tex]]

Hence, correct option is D. [tex] f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n) [/tex]

Answer:

512cm²

Step-by-step explanation:

1/2bh*2 = 1/2(4)(10)(2)=40

Each triangle is 40

18*8=144

Each rectangle is 144

144+144+144+40+40=512cm²

Answer:

-22/3

Step-by-step explanation:

-22/3 is the answer as a improper fraction.

Step 1

Multiply the denominator by the whole number

3 × 7 = 21

Step 2

Add the answer from Step 1 to the numerator

21 + 1 = 22

Step 3.

Write answer from Step 2 over the denominator

22/3

Answer:

-22/3

Step-by-step explanation:

7x3= 21

Answer:

B)

Step-by-step explanation:

6 + 4*5 = 6 + 20

             = 26

According to BODMAS, multiplication should be done and then addition

Answer:

B

Step-by-step explanation:

By pemdas - multiplication first

6+4x5

6+(20)

so, b - 6 + 20 is the answer

Answer:

b and g

Step-by-step explanation:

a. is y = 0³ = 0

b. is y = ln(0), which is undefined because ln(x) is only defined for x > 0

c. is y = 1 / (1 + e^-0) = 1 / (1 + 1) = 1/2

d. is y = 0

e. is y = 0² = 0

f. is y = sin(0) = 0

g. is y = 1/0, which is undefined because division by 0 is undefined

h. is y = e^0 = 1

i. is y = |0| = 0

j. is y = √0 = 0

Answer:

0 - 1 - 2 - 3 - 4 - 5

2 - 22.1 - 32.4 - 32.9 - 23.6 - 4.5

Step-by-step explanation:

The function is:

Calculating the value of H for each value of t from 0 to 5

Correct answer choice is the 3rd one or C

Answer:

60 degrees.

Step-by-step explanation:

In mathematics, a "range" is described as the difference between the lowest and highest numbers in a data set. To find the range, we must subtract. (This is what the word "difference" indicates in math)

56 - (-4) =

56 + 4 = 60 (the negative signs cancel out)

Thus, the range of temperature for March is 60 degrees :) Hope this helped!

God bless and stay safe.

Answer:

1/2(x+y) - 1/3

Step-by-step explanation:

I think this may be the answer based on the info you've given

Answer:

[tex]\frac{1}{2}(x+y) - \frac{1}{3}y[/tex]

Step-by-step explanation:

We can translate these words into an expression by just reading them and interpreting them.

Half the sum of x and y.

We know that it's going to include [tex](x+y)[/tex], and if we're taking half of that, we multiply that by [tex]\frac{1}{2}[/tex], so [tex]\frac{1}{2}(x+y)[/tex]

We also know that one third of y will be multiplying y by [tex]\frac{1}{3}[/tex], so [tex]\frac{1}{3}y[/tex].

Since we are decreasing [tex]\frac{1}{2}(x+y)[/tex] by  [tex]\frac{1}{3}y[/tex], there's a minus sign between the terms.

So, [tex]\frac{1}{2}(x+y) - \frac{1}{3}y[/tex].

Hope this helped!

Answer: Each hamburger cost $3.50

Step-by-step explanation:

He spent $13 in total and bought one hot dog for $2.50  and 3 hamburgers but we don't know the price of one hamburger so we could represent it by the equation,

2.50 + 3h = 13   Now solve for x

-2.50            2.50

  3h = 10.50

 h = 3.50  

Check:

2.50 + 3(3.50) = 13

2.50 + 10.50 = 13

13=  13

Answer:

6.08333....

Step-by-step explanation:

.25 +w = 19/3

19/3=6.3333

6.3333-.25=6.08333....

Check:

.25+6.08333....=6.3333...

Answer:

Rs. (x - y + 2)

Step-by-step explanation:

The marked price is the price that a product is to be sold. The product can be sold at a discount which is below the marked price of the product.

The marked price of the article is Rs. X. The discount is Rs. y, therefore the article price = marked price - discount = x - y.

But since the article is sold with a VAT of Rs. 2, the VAT is added to the price, therefore the selling price of the article including VAT is Rs. (x - y + 2)

Answer:

B. [tex] 5 \sqrt{3} + \sqrt{6} [/tex]

Step-by-step explanation:

[tex] \huge\sqrt{3} (5 + \sqrt{2} ) = 5 \sqrt{3} + \sqrt{6} [/tex]

Answer: 85

Step-by-step explanation:

To solve this problem, we want to use the order of operations, or PEMDAS.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

To be more specific, you evaluate the expression in the order from top to bottom. To clarify, it is multiply OR divide, depending on which comes first, left to right. This also applies to add OR subtract.

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

20÷(5-3)+5²(3)                              [solve parenthesis]

20÷(2)+5²(3)                                 [solve exponent]

20÷2+25(3)                                   [solve multiply or divide, left to right]

10+75                                             [solve add or subtract]

85

Answer:

85

Step-by-step explanation:

To evaluate the expression, follow the rule of PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

[tex]20 \div (5-3) +5^2(3)[/tex]

Solve inside the parentheses first by subtracting 3 from 5.

5-3 = 2

[tex]20 \div (2) +5^2(3)[/tex]

Next, evaluate the exponent.

5² = 5*5= 25

[tex]20 \div 2+25(3)[/tex]

Next, multiply 25 and 3.

25 *3 =75

[tex]20 \div 2+75[/tex]

Then, divide 20 by 2.

20/2=10

[tex]10+75[/tex]

Finally, add 10 and 75.

[tex]85[/tex]

The expression [tex]20 \div (5-3) +5^2(3)[/tex] evaluated is 85.

Answer: b/a = -8

Step-by-step explanation:

When we have a quadratic equation:

y = a*x^2 + b*x + c.

The vertex of this function (and the axis of symetry) is located at:

x = -b/2a

Now, we know that the axis of symmetry is at x = 4.

then we have:

4 = -b/2a

And we want to find b/a.

Then we start with:

-b/2a = 4.

first we multiply by 2 in each side:

2*(-b/2a) = -b/a = 2*4 = 8.

now we multiply by -1 in each side:

-1*(-b/a) = b/a = -1*8.

Then we have: b/a = -8

Answer: You get 0.06 which is 6 cents in terms of money.

Step-by-step explanation:

6 millions could be written as 6,000,000 and 1  billion could also be written as  1,000,000,000   so using this set up a fraction to divide it.

[tex]\frac{6000000}{1,000,000,000}[/tex] = 0.006  

0.006 * 10 = 0.06  

Answer:

0.36 %

Step-by-step explanation:

seria el 36 por ciento de aumento por que las dos cantidades divididas te daría a cero punto treinta y seis porciento más de las dos cantidades

Answer:

  7/3

Step-by-step explanation:

The distances have the ratio ...

  (Q -P) = (2/3)(R -P)

  Q = P +(2/3)R -(2/3)P = (2R +P)/3

  Qy = (2Ry +Py)/3 = (2·0 +7)/3 = 7/3

Answer:

0.100100010000...

Step-by-step explanation:

becoz in irrational numbers decimal goes on forever

Answer:

Step-by-step explanation:

hello :

x-32>32+9x

means : x-9x>32+32

-8x >64

dvid by :8        -x >8  .......continu

Answer:

8

Step-by-step explanation:

Please write this as (3/2)x + 1 = 13.

Start the process of solving for x by subtracting 1 from both sides:

(3/2)x = 12

Eliminate the fractional coefficient by multiplying both sides by 2/3:

(2/3)(3/2)x = (2/3)(12), or

x = 8

Hey mate!

Question:

5x – 1 = x+ 27

Answer:

x=7

Step-by-step explanation:

Step 1:

5x-x=27+1

Step 2:

4x=28

step 3:

x=28÷4

step 4:

x=7

hope it helped you:)

Answer:

20°

Step-by-step explanation:

i just did it. got it correct

Step-by-step explanation:

To solve, we have to remember PEMDAS (Parenthesis, Exponent, Multiply / Divide, Add or Subtract).

Here, the curly brackets act as parenthesis, so we solve that first.

• 3 + 7 = 10

Then, we multiply by 4.

• 10 • 4 = 40

Finally, we add 6 to 40.

• 40 + 6 = 46.

Our final answer: 46

Answer:

46

Step-by-step explanation:

We are asked to evaluate the expression. Remember to solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

[tex]6+4 * (3+7)[/tex]

Solve inside the parentheses. Add 3 and 7.

⇒3+7=10

[tex]6+4*(10)[/tex]

Multiply 4 and 10.

⇒4*10=40

[tex]6+40[/tex]

Add 6 and 40.

⇒6+40=46

[tex]46[/tex]

When the expression 6+4*(3+7) is evaluated, the result is 46.

Answer:

0.1219512195122

Step-by-step explanation:

To write 10/82 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 10 by 82 what we write down as 10/82 and we get 0.1219512195122

Answer:

a=16400 feet

Step-by-step explanation:

t = -0.0035 a +g

-17.40 = -0.0035 a+40

-17.40-40=-0.0035a+40-40

-57.40=-0.0035a

a = -57.40/-0.0035

a=16400 feet

Answer:

Scientific notation for 15,000,000

[tex] = 1.5 \times {10}^{7} [/tex]

Answer:

Step-by-step explanation:

fraction are not integers

Answer:

54 cheese pizzas

Step-by-step explanation:

We know that there are 120 pizzas in the freezer, and 45% of them are cheese pizzas.

We want to find out how many cheese pizzas are in the freezer, so we should multiply 45% and 120.

45% * 120

Convert 45 % to a decimal. Divide 45 by 100 or move the decimal place 2 spots to the left.

45/100= 0.45      or       45.0 --> 4.5 ---> 0.45

0.45 * 120

Multiply 0.45 and 120

54

54 cheese pizzas are in the freezer.