f(x) = 2x + 3 and g(x) = –x^2 + 5, find f(1) and g(1)

Answer:

B

Step-by-step explanation:

Answer: T

Step-by-step explanation:

Answer:

y=[tex]\frac{1}{10} x^2[/tex]

Step-by-step explanation:

You're partially correct.

Let me explain:

When a parabola is scaled vertically, think of it this way: a parabola is being stretched up or smooshed downwards, by some math god who can defy all forms of life and dimensions.

When a parabola, in y=a[tex]x^{2}[/tex], is shifted vertically, when a>1, it appears 'skinnier'. The parabola went on a diet! However, when 0<a<1, the parabola seems wider and fat.

Knowing this knowledge, when factored vertically by a factor of x, it means that it is the coefficient of the parent graph  y=a[tex]x^{2}[/tex], which means 1/10 goes before [tex]x^{2}[/tex].

Summing all of this up, your answer would have the equation of the new parabola as y=[tex]\frac{1}{10} x^2[/tex]

Scaled vertically means not reflected over x axis .

Here

Now it's vertically scaled

so

New equation

Answer:

-3

Step-by-step explanation:

Changes y Divided by changes x

Answer:

2 and 3

Step-by-step explanation:

2+3=5

2*3=6

Answer:

24 m that is the answer to the question

The height of the cone is 24 meters.

Option A is the correct answer.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

We have,

The formula for the volume of a cone.

V = (1/3)πr²h

Where r is the radius of the base and h is the height.

The diameter of the cone = 12 m.

So,

The radius is half of the diameter:

r = 12/2

r = 6 m

Now,

The volume of the cone is 904 m³.

Substituting the known values into the formula.

904  = (1/3) × 3.14 × 6 x 6 × h

Simplifying the equation.

904 = 37.68 h

Dividing both sides by 37.68.

h = 23.99

h = 24

Therefore,

The height of the cone is 24 meters.

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Answer:

A

Step-by-step explanation:

Translates up 2 right 3.

Rotates 180 degrees.

Answer: it's = 1

Step-by-step explanation:

Answer:

A = 35.1

Step-by-step explanation:

Formula:

(1/2) × Apothem × Perimeter

Apothem: 7.8 in.

Perimeter: 9 in.

A = 1/2 × 7.8 × 9

A = 35.1

Answer: 35.1

Formula is 1/2 (apothem x perimeter)

Answer:

35.65 acres

Step-by-step explanation:

Answer:

35.65 acres

Step-by-step explanation:

Just divide 142.6 by 4 for the (four people)

Answer:

The answer is 11,520 mm³

Step-by-step explanation:

Here proof

Answer: 11,520

Step-by-step explanation:

∆ area = 24*32=768/2 =384

Now multiply 384 by height 30=11,250³  

24*32*30/2 = 11 520 mm³

or

V=1/2bhl

11,250³  =1/2(24*32*30)=23040

             =1/2 or 0.5 * 23040= 11,250³  

Answer:

1/12

Step-by-step explanation:

the probability of landing on 6 is 1/6 and the probability of a tails is 1/2, so 1/6*1/2=1/12

Answer:

Plants absorb nitrates from nearby soils to create proteins. Fertilizer also helps because it makes the soil even richer, allowing for more nitrates, which means more proteins.

Answer: B

Step-by-step explanation:

Group the variables together: 3i + 2i -3i = -4i

Then for the fractions: 3/4 - 9/3 = -9/4

Answer:

B. (-9/4 -4i)

Step-by-step explanation:

Answer:

5778

Step-by-step explanation:

1+2+3+4+5+....+105+106+107

The sequence of numbers (1, 2, 3, … , 107) is arithmetic and when we are looking for the sum of a sequence, we call it a series. Thanks to Gauss, there is a special formula we can use to find the sum of a series:

S=n(n+1)/2=11556÷2=5778

S is the sum of the series and n is the number of terms in the series, in this case, 107

There are other ways to solve:

This is an arithmetic series, for which the formula is:

S = n[2a+(n-1)d]/2

where a is the first term, d is the difference between terms, and n is the number of terms.

For the sum of the first 107 whole numbers:

a = 1, d = 1, and n = 107

Therefore, sub into the formula:

S = 107[2(1)+(107-1)(1)]/2 =

107(2+106)/2=107*108/2=5778

so she blow out 5778 candless during her lifetime

Answer:

He would get there at 1:15 (I did this in my head, may be wrong)

Step by step solution:

We know the motorist left home at 10. We can divide the 260/80 and we get 3 hrs, we still have 20 km left over, keep on dividing and you get 1:15 p.m.

Answer:

B. Car A

Step-by-step explanation:

To find the unit rate divided 374 and 17

374 ÷ 17 = 22

Car B 22 miles per gallon

Car A 23.7 miles per gallon

Car A is a better by because it has more mileage.

Answer:

Step-by-step explanation:

the distance between the two points are 11.

the slope is m=0

Answer:

11 units

Step-by-step explanation:

[tex]Solution,\\\\Let,\\\\(x_1,y_1)=(-7,-6)\\\\(x_2,y_2)=(4,-6)\\\\Now,\\\\Using\:distance\:formula,\\\\\hookrightarrow d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2} } \\\\\hookrightarrow d=\sqrt{(4-(-7))^{2} +(-6-(-6))^{2} } \\\\\hookrightarrow d=\sqrt{(11)^{2} +(0)^{2} }\\\\\hookrightarrow d=\sqrt{121} \\\\\hookrightarrow d=11\: units[/tex]

Answer:

12 ounce of cereal it will be a far one

Answer:

49.6

Step-by-step explanation:

Answer:

Please mark as brainliest;)

Answer:

How do you write an equation for problem solving?Here are some steps to follow:Understand the problem. Understand all the words used in stating the problem. Understand what you are asked to find. ... Translate the problem to an equation. Assign a variable (or variables) to represent the unknown. ... Carry out the plan and solve the problem.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

(1:2)x2=9/18

yes the ratios 9:18 and 1:2 equivalent

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

We need to check whether the ratios 9:18 and 1:2 are equivalent.

Equivalent ratios are the ratios that are the same when we compare them.

Two or more ratios can be compared with each other to check whether they are equivalent or not.

Here the two ratios are 9:18 and 1:2

We can write 9:18 as fraction 9/18

When we simplify it we get 1/2

Hence, yes the ratios 9:18 and 1:2 equivalent

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Answer:

4 1/3

Step-by-step explanation:

6-1 4/6

5 6/6-1 4/6

66-4/6=1/3

4+1/3

=4 1/3

Answer:

[tex]\sf 4\dfrac{1}{3}[/tex]

explanation:

[tex]\hookrightarrow \sf 6 - 1\dfrac{4}{6}[/tex]

turn mixed to improper fraction

[tex]\hookrightarrow \sf 6 - \dfrac{10}{6}[/tex]

make the denominators same

[tex]\hookrightarrow \sf \dfrac{6(6)}{6} - \dfrac{10}{6}[/tex]

expand

[tex]\hookrightarrow \sf \dfrac{36}{6} - \dfrac{10}{6}[/tex]

simplify, join both fractions together

[tex]\hookrightarrow \sf \dfrac{36-10}{6}[/tex]

simplify

[tex]\hookrightarrow \sf \dfrac{26}{6}[/tex]

[tex]\hookrightarrow \sf \dfrac{13}{3}[/tex]

change improper to mixed fraction

[tex]\hookrightarrow \sf 4\dfrac{1}{3}[/tex]

Answer:

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½. A fraction is a part of a whole.

2/6

3/9

4/12

Step-by-step explanation:

1 × 2 / 3 × 2 = 2/6

1 × 3 / 3 × 3 = 3/9

1 × 4 / 3 × 4 = 4 /12

Answer:

2/6

Step-by-step explanation:First, you multiply both numbers then you have 2/6. :)

Answer:

1.2 liters

Step-by-step explanation:

Answer:

Approximately [tex]37\%[/tex].

Step-by-step explanation:

Let [tex]X[/tex] denote the machine that produced the item. Let [tex]Y[/tex] denote whether the item was defective or not. (Let [tex]Y = 1[/tex] if the item is defective and [tex]Y = 0[/tex] otherwise.)

The question is asking for the probability of the event [tex]X = B[/tex] (the selected item was produced by machine [tex]B[/tex]) given that [tex]Y = 1[/tex] (the selected item was defective.) This probability could be denoted as: [tex]P(X = B \; | \; Y = 1)[/tex].

Quantities given in this question are:

Apply Bayes' Theorem to express [tex]P(X = B \; | \; Y = 1)[/tex] in terms of these quantities. By Bayes' Theorem:

[tex]\begin{aligned} & P(X = B\; | \; Y = 1) \\ =\; & \frac{P(X = B\; \cap Y = 1)}{P(Y = 1)}\\ =\; & \frac{P(Y = 1\; |\; X = B)\, P(X = B)}{P(Y = 1)}\end{aligned}[/tex].

Find the value of [tex]P(Y = 1)[/tex] (probability that a random item from this plant is defective) by marginalizing over all possible values of [tex]X[/tex]. This value is like a weighted average of the defective rate of each machine. The weights here would be the percentage of items produced by each machine.

[tex]\begin{aligned}& P(Y = 1) \\=\; & P(Y = 1\; | \; X=A)\, P(X = A) \\ &+ P(Y = 1\; |\; X = B)\, P(X = B) \\ & + P(Y = 1\; |\; X = C)\, P(X = C) \\ =\; & 0.01 \times 0.40 \\ &+ 0.015 \times 0.35 \\ &+ 0.02 \times 0.25 \\ =\; & 0.01425\end{aligned}[/tex].

Substitute in the given quantities [tex]P(Y = 1\; |\; X = B) = 0.015[/tex] and [tex]P(X = B) 0.35[/tex] into the expression from Bayes' Theorem:

[tex]\begin{aligned} & P(X = B\; | \; Y = 1) \\ =\; & \frac{P(Y = 1\; |\; X = B)\, P(X = B)}{P(Y = 1)} \\=\; & \frac{0.015 \times 0.35}{0.01425} \\\approx\; & 0.37 = 37\%\end{aligned}[/tex].

Answer:

Problem:

Nonoy sells newspaper in the morning. He gets Php 5 per newspaper sold and a Php 30 a day tip from the supplier. How much does he earn if he sells 30 newspapers in one day?

Given:

Php 5 per newspaper sold and a Php 30 a day tip from the supplier

Formula:

5 x 30 + 30 (tip from the supplier)

Solution:

5 x 30 = 150

150 + 30 tip from the supplier = 180

Final Answer:

180 pesos

Step-by-step explanation:

Answer:

15 percent

Step-by-step explanation:

3/20 multiply the fraction by 5 to equal 100, thus creating 15/100