Answer:
A triangle is 180 if two angles equal to eachother and the other angle is these two combines the angels will be 45 45 90

45+45=90

45+45=90

Is 6 a solution of 5(c - 9) = - 15?

Simplify 12x7y3 divided by 6x3y

Please help will definitely say thanks

What is the value of r if the line that passes through (4,3) and ( -5, r ) has a slope of -1 ?

The director of student health at a large university was concerned that students at his school were consuming too many calories each day. For a certain population of college-age students, it is recommended to consume around 2,000 calories/day. The director would like to test the hypothesis that H0:μ=2000 vs. HA:μ>2000. In a random sample of 50 students the director found that the average was 2105 calories/day with a standard deviation of 288 calories/day. Calculate the appropriate test statistic for this situation. Round your answer to 3 decimal places.

Simplify 12x7y3 divided by 6x3y

Please help will definitely say thanks

What is the value of r if the line that passes through (4,3) and ( -5, r ) has a slope of -1 ?

The director of student health at a large university was concerned that students at his school were consuming too many calories each day. For a certain population of college-age students, it is recommended to consume around 2,000 calories/day. The director would like to test the hypothesis that H0:μ=2000 vs. HA:μ>2000. In a random sample of 50 students the director found that the average was 2105 calories/day with a standard deviation of 288 calories/day. Calculate the appropriate test statistic for this situation. Round your answer to 3 decimal places.

**Answer:**

3, and -7

**Step-by-step explanation:**

First factor the trinomial

y=x2−4x−21

.

Find 2 numbers knowing sum (-4) and product (c = - 21). They are the numbers in the factor pair (3, -7).

y = (x + 3)(x - 7)

Solving the 2 binomials, we get:

x = -3 and x = 7

We want to solve the given** quadratic inequality.**

The correct option is the second one, counting from the top.

So we need to solve:

x^2 - 4x - 21 ≤ 0

Because we have the** graph**, we can avoid all the algebra.

Notice that the **equation **must be equal to or smaller than zero, then we just need to find the values of x such that the **graph **intersects the x-axis or is below it.

By looking at the given** graph**, we can see that the given **range** goes from **-3 to 7**

Then the solution is:

**-3 ≤ x ≤ 7**

This would be represented with a number line going from -8 to 8, two **closed circles** (because we use the symbols ≤ ≥) at negative 3 and 7, and the region between the circles is** shaded.**

The correct option is the second one.

If you want to learn more, you can read:

6/5 or you could put it as 1 1/5

**Answer:**

**x = - 6**

**Step-by-step explanation:**

**Let x b number, according to instructions´ we must**

**1.-Multiply by 4**

**2.-Subtract 6**

**3.-Divide by 2**

**4.-Arturo says his new number - 15**

**4,.Which one was the original number ??**

**The maths expression for that is :**

**(4*x - 6 ) / 2 = - 15**

**we solve for x**

** 4x - 6 = - 30**

**4x = - 24**

**x = - 6**

To find Arturo's **starting **number, reverse the given steps: divide by 2, add 6, then multiply by 4.

To find Arturo's starting number, we need to reverse the steps Savanna provided. Let's go through the steps backwards:

**Arturo's**number after dividing by 2 is -15 * 2 = -30.- Arturo's number after adding 6 is -30 + 6 = -24.
- Arturo's number after multiplying by 4 is -24 / 4 = -6.

Therefore, Arturo started with the number -6.

#SPJ3

5(2x - 9) + 3 =-

Answer:

Step-by-step explanation:

5(2x-9)+3

10x - 45 +3

10x - 42

x- 4.2

**Answer:**

17

**Step-by-step explanation:**

We can put this as an AP (arithmetic progression).

The first number, after 160, that is divisible by 7 is:

161

The last number before 279 that is divisible by 7 is:

273

We can use the formula:

Where

tn is the nth term [here we take the last one, 273

a is the first term [161]

d is the common difference [7]

and n is the number of terms, we are trying to find this.

Substituting we get:

**Hence, there are 17 integers**

if you don’t know answer don’t even comment

**Answer:**

y = 1/4 x - 1 (y = 0.25 x - 1)

**Step-by-step explanation:**

x intercept: (4 , 0)

y intercept: (0 , -1)

rise: 1

run: 4

slope: rise/run = 1/4

equation: y = mx + b m=1/4 b = -1

y = 1/4 x - 1