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Tju [1.3M]
2 years ago
7

Solve (x - 2 < 5) ∩ (x + 7 > 6).

Mathematics
1 answer:
hoa [83]2 years ago
7 0

Answer:

c2

Step-by-step explanation:

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At the end of a party, there are 3 pizzas left over. Each person will eat 2/8 of a pizza. How many people will 3 pizza feed?
Georgia [21]

First, convert 3 into a fraction with denominator 8.

(3 pizzas)(8/8 pizzas)=24/8 pizzas

Then, divide 24/8 pizzas by 2/8 pizzas per 1 person.

(24/8 pizzas)(2/8 pizzas/person)

Dividing by a fraction is the same as multiplying by the reciprocal:

(24/8)/(2/8)=(24/8)×(8/2) the 8s cancel and you are left with 24/2=12

3 pizzas will feed 12 people.

4 0
3 years ago
!!! HELP ME !!!
antoniya [11.8K]

Answer:

DHGB

Step-by-step explanation:

Let's start with 1.  

The equation is in standard form (ax+by=c): -4x+2y=8

we'll put it into slope intercept form.

Add 4x onto both sides

2y=4x+8

divide by 2

y=2x+4

Parallel lines have the same slope, but a different y intercept. (the line parallel to this one will have a slope of 2 but a y intercept different from +4)

Looking at the answer choices, the only choice with a slope of 2 is D (y=2x-5)

So the answer to 1  is D

Now 2.

we're given 3 points. One of the points crosses the y axis, which is the y intercept. In this case, the line crosses the point (0,3)

That means the y intercept of the line is (0,3)

here's the line so far:

y=mx+3 (m is a placeholder for the slope)

when given a graph, we can use rise/run. Starting from the point (3,2), we can move 3 spaces to the left, and one up.

In a graph, if you move to the left or downwards, it's a negative move. If you move up or to the right, it's a positive move.

Since we went 1 space up (rise) and 3 spaces to the left, (run) the slope is -1/3

So the line is y=-1/3x+3

Perpendicular lines are negative and reciprocal. If you multiply their slopes, they will equal -1. Their y intercepts don't matter at all.

So to find the slope, we can use this equation.

-1/3m=-1

multiply by -3 on both sides

m=3

Looking at the answer choices, H is the only answer with a slope of 3. So the answer to 2 is H.

Now, 3

You can do the graph method like above for 2, but I'll just calculate the slope.

We're given two points, (-1,-2) and (0,2)

the formula for slope is (y2-y1)/(x2-x1)

we can label the points.

x1=-1

y1=-2

x2=0

y2=2

now, substitute into the equation.

m=(2--2)/(0--1)

m=4/1

the slope is 4.

Now let's use point slope form, which is y-y1=m(x-x1)

once again, sub. into the equation.

y+2=4(x+1)

do distributive prop

y+2=4x+4

subtract by 2

y=4x+2

As said above, parallel lines have the same slope.

Looking at the answer options, G also has the slope of 4

so the answer to 3 is G

Finally, #4

Equation: 3x+y=1

subtract 3x from both sides

y=-3x+1

As said above, perpendicular lines have slopes that multiply to equal -1.

-3m=-1

multiply by -1/3

m=1/3

so the slope of the line will be 1/3.

Looking at the answer options, B also has a slope of 1/3.

So the answer to 4 is B

The code is DHGB

Hope this helps!

4 0
3 years ago
A car travaling 9/10 of miles per minute will travel how many miles in 10 minutes
spin [16.1K]
Answer- i will travel 9 miles in 10 minutes
4 0
3 years ago
Use substitution to solve the system of equations.<br> y=-4x+11<br> 3x+y=9
Sloan [31]

Answer:

(2,3)

Step-by-step explanation:

(Brainliest please)

7 0
2 years ago
Using the figure below A) What is the length of A'B'? B) Show your work/ explain how you got your answer. Question 10 options:
Volgvan
A
B
C
D
multiply them by 6 and add 3.5 to your answer and youll get the right one

3 0
3 years ago
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