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VashaNatasha [74]
3 years ago
15

Solve the following system of equations graphically on the set of axes below.

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0

Step-by-step explanation:

y=-1

-1 + 4 = 3

y = x  - 6

-1 - 6= -7

Answer:

-7

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*BEST ANSWER WILL BE MARKED BRAINLIEST*<br><br> MNOP is a square. what are the value of t and f?
igomit [66]

For this case as MNOP is a square then the angles of each vertex are equal to 90 degrees.

Therefore, we have the following equations:

4t + 20 = 90\\7f + 6 = 90

From these equations, we can clear the values of the unknowns.

For equation 1 we have:

4t + 20 = 90\\4t = 90 - 20\\4t = 70

t = \frac{70}{4}\\t = 17.5

For equation 2 we have:

7f + 6 = 90\\7f = 90 - 6\\7f = 84

f = \frac{84}{7}\\f = 12

Answer:

The values of t and f are given by:

t = 17.5\\f = 12

5 0
3 years ago
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Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to f
Angelina_Jolie [31]

Answer:

P(z>1.51) =1-P(Z

And i fwe look into the normalstandar dtable we can find the desired probability:

P(z>1.51) =1-P(Z

And then the The area to the right of z = 1.51 is 0.0655

Step-by-step explanation:

For this case we want to find the following probability:

P(z>1.51)

And for this case we can use the normal standard distribution and the complement rule and we have this:

P(z>1.51) =1-P(Z

And i fwe look into the normalstandar dtable we can find the desired probability:

P(z>1.51) =1-P(Z

And then the The area to the right of z = 1.51 is 0.0655

7 0
3 years ago
Plums cost $0.77 per pound Mangoes cost $1.32 per pound Write an expression that can be used to find the cost of buying p pounds
marissa [1.9K]

Answer:

The graphs below show the cost y of buying x pounds of fruit. One graph shows the cost of buying x pounds of peaches, and the other shows the cost of buying x pounds of plums.

Which kind of fruit costs more per pound? Explain.

Bananas cost less per pound than peaches or plums. Draw a line alongside the other graphs that might represent the cost y of buying x pounds of bananas.

IM Commentary

This task allows students to reason about the relative costs per pound of the two fruits without actually knowing what the costs are. Students who find this difficult may add a scale to the graph and reason about the meanings of the ordered pairs. Comparing the two approaches in a class discussion can be a profitable way to help students make sense of slope.

Solutions

Solution: Slope as Unit Rate

The graph that represents the cost of x pounds of peaches is steeper, so it must have a larger slope. The slope can be interpreted as the unit rate; in this case it tells you the cost of a single pound of fruit.

Since the slope for the peach graph is greater than the slope of the plum graph, the cost of a pound of peaches is greater than the cost of a pound of plums.

For b, students should realize that the cost per pound of bananas will be represented by a slope that is less than either of the other two, and draw a line through the origin labeled "Bananas" and lying below both of the other graphs.

Solution: Adding a scale to the graph

Students who prefer to work with specific numbers can approach this problem by sketching in a scale on the x-axis and y-axis. For example, if they decided that a pound of peaches might cost a dollar, then they might plot the point (1,1) on the line labeled "Peaches", then fill out the rest of the scale accordingly. They could then read off the cost of a pound of plums and see that it is less than for peaches.

For the second question, they could choose any price per pound b for bananas that is less than the one they read off for plums, and then draw a line from the origin through the point (b, 1), and label it "Bananas".

4 0
3 years ago
There are twice as many students on Mr. Sneed's team as on Mr. Johnson's team. Together, they want to raise 360$ to buy uniforms
KatRina [158]

Answer:

720

Step-by-step explanation:

6 0
3 years ago
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Are the ratios of the number of people to the number of rollercoaster cars in a proportional relationship? Explain your reasonin
LiRa [457]

Answer:

the answer will be 366:81

Step-by-step explanation:

you will find value of ratio 3:18

=6

then divide 366:61

=6

7 0
3 years ago
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