find the solution to the system

y=x^2+8x+2
y=7x+4

A(-2,-10) and (1,11)
B(2,10) and (-1,-11)
C(-2,-34) and (1,11)
D no solution

Answer:

C). all numbers greater than zero

Step-by-step explanation:

We have been given a logarithmic function [tex]y=\log_{10}x[/tex].

Now we need to find about what is the domain of the given function then match with the correct choice from the given choices:

A). all numbers greater than or equal to zero

B). all numbers less than zero

C). all numbers greater than zero

By definition of logarithmic function we know that log is not defined for 0 or negative values.

Hence domain of given function must be

C). all numbers greater than zero

The answer is:

The third option,

All numbers greater than zero.

The logarithmic function exists only from the numbers greater than zero to all the positive numbers, we must remember that the logarithmic function is the inverse to the exponential function, which domain is equal to all numbers greater than zero.

Hence, the answer is the third option:

All numbers greater than zero.

I have attached a picture for better understanding.

Have a nice day!

Answer:

a. 7(5 + 1/7) = 35 + 1 = 36

b. 5(4 + 7) = 20 + 7

c. 1/7(28 + 84) = 4 + 12 = 16

I hope this helps! :)

The expression representing the total amount of money Donald has is:

[tex]\[ \text{Total money} = 20x + 1110 \][/tex]

To find the total amount of money Donald has, we need to calculate the sum of the value of all the bills.

The value of each twenty-dollar bill is $20, and the value of each ten-dollar bill is $10.

Let's represent the number of twenty-dollar bills as x and the number of ten-dollar bills as 111.

So, the total amount of money Donald has can be expressed as:

[tex]\[ \text{Total money} = \text{Value of twenty-dollar bills} + \text{Value of ten-dollar bills} \]\[ \text{Total money} = 20x + 10(111) \][/tex]

Answer:

[tex]y\leq \frac{1}{2} x+2[/tex]

Step-by-step explanation:

Firstly, as seen in the graph, the shaded area is below the graph. This means that [tex]y \leq[/tex]

Next we can look at the slope. It is seen that m=[tex]\frac{1}{2}[/tex]

From these two observations, the only inequality that fits the critera is

[tex]y\leq \frac{1}{2} x+2[/tex]

Answer:

Option A

Step-by-step explanation:

(1) In the given graph a solid line has been given which represent the sign of inequality between two variables.

(2) Moreover this, a should area has been given below the solid line. which represents the sign of "less than" between the variables.

In total between y and x there should be a sign of (≤)

(3) Now this line passes through two points (0,2) and (-4,0) so slope of the line will be = [tex]\frac{y-y'}{x-x'}[/tex]

Therefore, slope =[tex]\frac{2-0}{0+4}=\frac{1}{2}[/tex]

y-intercept of the line has been given as 2

So inequality for this graph will be

y ≤ [tex]\frac{1}{2}[/tex]x + 2

Option A is the answer.

Check the picture below.

make sure your calculator is in Degree mode.

recall that there are 60 minutes in 1 degree.

Answer:

c

Step-by-step explanation:

Answer:

4 toppings

Step-by-step explanation:

13.99-8.99=5

5÷1.25= 4

Laura put 4 toppings on her pizza.

The answer would be 4 toppings.

First you must subtract $13.99 by $8.99 which gives you $5. Then you divide that by the price of a topping which is $1.25. When you divide you get 4.

Hope this helps

Answer:

374.12

Step-by-step explanation:

A=33

2a2=3·3

2·122≈374.12297

To solve this problem, we will use the fact that if two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.
Let's start by identifying the given information:
1. The ratio of the sides of the two similar hexagons is 1:3.
2. The area of the smaller hexagon is 12 square inches.
We are asked to find the area of the larger hexagon.
Now, since the ratio of the sides of the two hexagons is 1:3, the square of this ratio will tell us the ratio of the areas of the two hexagons. So we must square the side ratio to get the area ratio:
Ratio of sides of hexagons = 1 : 3
Ratio of areas of hexagons = (1^2) : (3^2) = 1 : 9
This means that the area of the larger hexagon is 9 times larger than the area of the smaller hexagon. Now we can find the area of the larger hexagon by multiplying the area of the smaller hexagon by 9:
Area of larger hexagon = Area of smaller hexagon * 9
                       = 12 in² * 9
                       = 108 in²
Therefore, the area of the larger hexagon is 108 square inches.

Answer:

The correct answer is option B.  756 units²

Step-by-step explanation:

Points to remember

Surface area of pyramid = Base area  + (4 * area of side triangle)

To find the base area

Base area = side * side

 = 14 * 14 = 196 units²

To find the area of side triangle

Area of triangle = bh/d

Area = (14 * 20)/2 = 140 units²

To find the surface area of pyramid

Surface area = Base area  + (4 * area of side triangle)

 = 196 + (4 * 140)

 = 756  units²

Answer: 756

Step-by-step explanation:

Answer:

The number of pounds collected by Steve is [tex]39-j[/tex]

Step-by-step explanation:

Let

j----> the number of pounds collected by Joy

s ---> the number of pounds collected by Steve

we know that

[tex]j+s=39[/tex]

Solve for s

That means-----> Isolate the variable s

Subtract j both sides

[tex]s=39-j[/tex]

Answer:

51 feet

Step-by-step explanation:

Let

x -----> the height of a flagpole

we know that

Using proportion

[tex]\frac{6}{10}=\frac{x}{85} \\\\x=6*85/10\\\\x=51\ ft[/tex]

Answer:

If the current price of $\$30$ is after a $50\%$ reduction, then the Lux basketball shoes must have been $30 \times 2 = \$60$ before. That $\$60$ price was after a $25\%$ reduction. When $25\%$ of the price is removed, the remaining portion is $75\%$, or $3/4$ of the price, which means the original price must have been $\$60 \times 4/3 = \boxed{\$80}$.

Answer:

14.87

143.62

- 128.75

________

14.87

Answer:

C, A, B, D

Hope This Helps!  Have A Nice Day!!

Number 9 is scalene

Number 10 is equilateral

Sorry I can’t help you on the other two I see.

It depends. Greater than what?

Not really, the hundredths place won't determine which number is larger, usually the largest place will do, which here is the tenth place.

1/4 = 0.25

0.88 > 0.25 because 0.8 > 0.2.

The area of the shaded portion of the circle is option G. 28.5cm²

How did we get the value?

To find the shaded area of a circle, you need to know the radius of the circle and the central angle of the sector that forms the shaded region. The formula for the area of a sector (a portion of a circle) is given by:

[tex]\[ \text{Area of Sector} = \left( \frac{\text{Central Angle}}{360^\circ} \right) \times \pi r^2 \][/tex]

where:

- [tex]\( \text{Central Angle} \)[/tex] is the measure of the angle at the center of the circle (in degrees),

- [tex]\( \pi \)[/tex] is a mathematical constant approximately equal to 3.14159, and

- [tex]\( r \)[/tex] is the radius of the circle.

If the shaded region is not a complete sector but a segment (a portion of the circle bounded by a chord and an arc), you may need to subtract the area of the triangle formed by the radius and the two radii extending to the endpoints of the chord. The formula for the area of the segment is then:

[tex]\[ \text{Area of Segment} = \text{Area of Sector} - \text{Area of Triangle} \][/tex]

One can find the shaded area by:

1. Determine the radius [tex](\( r \))[/tex] of the circle.

2. Find the measure of the central angle [tex](\( \text{Central Angle} \))[/tex] of the sector or segment.

3. Apply the formula to calculate the area of the sector [tex](\( \text{Area of Sector} \))[/tex].

4. If it's a segment, find the area of the triangle formed by the radii and the chord and subtract it from the area of the sector.

[tex]\[ \text{Area of Quarter Circle} = \frac{1}{4} \times \pi r^2 \][/tex]

Given that the radius [tex](\( r \))[/tex] is 10, you can substitute this value into the formula:

[tex]\[ \text{Area of Quarter Circle} = \frac{1}{4} \times \pi \times (10)^2 \][/tex]

Let's calculate this:

[tex]\[ \text{Area of Quarter Circle} = \frac{1}{4} \times \pi \times 100 \][/tex]

[tex]\[ \text{Area of Quarter Circle} = \frac{1}{4} \times 100 \pi \][/tex]

[tex]\[ \text{Area of Quarter Circle} = 25 \pi \][/tex]

1/2 × 10 × 10 = 50cm²

25π - 50 = 25 × 3.14 - 50

              = 78.5 - 50

              = 28.5cm²

The value of V is 16.

V=16

Explanation

Answer: v=16

Step-by-step explanation:

Given: The inverse variation equation :

[tex]p=\dfrac{8}{v}[/tex]

To find the value of v when p = 1/2, replace the value of p by 1/3 in the above  inverse equation, we get

[tex]\dfrac{1}{2}=\dfrac{8}{v}[/tex]

Multiply 2v on both the sides , we get

[tex]\dfrac{1}{2}\times2v=\dfrac{8}{v}\times2v\\\\\Rightarrow\ v=16[/tex]

Hence, the the value of v =16.

Answer:

See below.

Step-by-step explanation:

Step 3 should be: 576pi / 64pi = 64pi h / 64pi

Step 4:  9 = h.

I would say C and D.

Answer:

C. In step 4, the (pie) should have canceled, making the correct answer 9 cm.

Step-by-step explanation:

We know that,

The volume of a cylinder is,

[tex]V=\pi(r)^2h[/tex]

Where r is the radius of the cylinder,

h be the height of the cylinder,

Given,

[tex]V=576\pi \text{ cubic cm}[/tex]

r = 8 cm,

So, for finding the height of the cylinder the steps are as follows,

Step 1 : [tex]576\pi =\pi (8)^2h[/tex]

Step 2 : [tex]576\pi =\pi (64)h[/tex]

Step 3 : [tex]\frac{576\pi}{64\pi} =\frac{\pi (64)}{64\pi}h[/tex]

Step 4 : [tex]h = 9\text{ cm}[/tex]

Thus, it is clear that she had her mistake in 4th step,

She should cancel out [tex]\pi[/tex].

Option C is correct.

the perimeter is adding all the lenghts. the answer that i got isn't in there since i got 118 if you add all of them. hopefully that helped

Answer:

180

Step-by-step explanation:

i just did 18x10

Answer:

(-2,-2)

Step-by-step explanation:

you would be going down the cooridante plane so that would only change the y value.

Answer:

5

3 1/3 / 2/3 = 5

Answer:

5

Step-by-step explanation:

"What is the value of 3 1/3 ÷ 2/3​"

3 1/3= 10/3

10/3 / 2/3 = 5/1=

5

Answer:

B

Step-by-step explanation:

Notice that the vertex is 2 units above the x-axis.  The equation of this parabola must end in +2 to reflect this fact.  Thus, we narrow down our answer choices to B and C.

(x + 3) in choice B is correct, since the vertex is to the left of the y-axis.

Answer:

The y-intercept occurs when x = 0.

So, when x = 0 , y = 4.

answer is A

Step-by-step explanation:

Answer:

4 balls

Step-by-step explanation:

108/8=13.5 or 13 R 4

For this case we must divide the number of baseballs among the number of players. Let "x" be the variable that represents the amount of baseballs that each player has to play. So:

[tex]x = \frac {108} {8}\\x = 13.5[/tex]

Rounding down, [tex]x = 13.[/tex]

Each player gets 13 baseballs. Then there are:

[tex]108-13 * 8 = 108-104 = 4[/tex] baseballs

Answer:

4 baseballs

Yes it would be because the perimeter is the out side and the area.is inside

ANSWER

D 5

EXPLANATION

The diagonals bisect each other so,

AE=CE

This implies that

3x+4+3x+4=38

6x+8=38

Group similar terms

6x=38-8

6x=30

x=5

Answer: 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you are given  3.14 · 1.5 · 1.5, you actually have 3.14 · 1.5²

If you match this up to the area-of-a-circle formula A = πr²

you can see right away that r = 1.5.  If r = 1.5, d = 2(1.5) = 3.0

I do not quite understand what you were trying to present in your

"And the other is the area 3.14•3

2) 3.14•1.25" so am unable to help you with it.

To find the diameter and radius of a circle, divide the given circumference by 3.14 to find the diameter, and then divide the diameter by 2 to find the radius. To calculate the area, use the formula A = πr², where π is approximately 3.14 and r is the radius of the circle.

To find the diameter and radius of a circle, we need to understand the formulas and calculations involved. The diameter is the distance across the circle passing through the center, and it is twice the length of the radius. The radius is the distance from the center of the circle to any point on its edge.

Finding the Diameter and Radius:

So, depending on the given values, you can use the formulas mentioned above to solve for the diameter and radius of a circle.

Calculating the Area:

Using the formulas and steps above, you can find the diameter, radius, and area of a circle based on the given values.

The area of a triangle is 1/2*base*height and in this case it would be 1/2*7*1.5 which is B. 5.25 square units

Answer:

Yes it's B. 5.25

A=hbb

2=1.5·7

2=5.25

Step-by-step explanation:

Answer:

A

[tex]2(4x + 2)[/tex]

and

D

[tex]8x + 4[/tex]

Step-by-step explanation:

Because if you simplify the equation theb you get 8x+4 therefore D is equivalent to it. A is also equal to D which make it equivalent to the equation as well.

Answer:

A and D

Explanation:

A. 2 multiply by 4x give 8x and 2 multiply by 2 give 4 so the answer is 8x+4

D. When we expand the bracket, 2 multiply by 3x give 6x and 2 multiply by 2 give 4 and 2 multiply by x give 2x so the answer will be 6x+4+2x and we will gather the like terms so it will be 6x+2x=8x so the final answer is 8x+4

That’s a good question for google haha

well, without a calculator, what you can do is

round each choice to a "metric" value, namely 312.5 use 310, and then you can simply multiply it manually 310*310, which is 96100, well, that's too large, so nope.

don't bother with 323.4 because that's even larger.

likewise, check 239.3 with say 230 * 230, to see if it's close enough.

then check 222.5 with 220*220.