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Digiron [165]
3 years ago
7

Find four consecutive integers such that the sum of the third and forth is 37

Mathematics
1 answer:
vampirchik [111]3 years ago
4 0

Answer:

16 17 18 19

Step-by-step explanation:

x+(x+1)+(x+2)+(x+3)

3rd and 4th: (x+2)(x+3) = 2x+5

2x+5 = 37

2x = 32

x=16

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Which describes the graph in words?
Lubov Fominskaja [6]

D. All numbers greater than -10 and less than or equal to 8

3 0
3 years ago
Explain in detail how to find the vertex: <br> y=-2x^2 + 2x + 3
Cerrena [4.2K]

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{+3} \qquad \qquad  \left(-\cfrac{ b}{2 a}~~~~ ,~~~~  c-\cfrac{ b^2}{4 a}\right)


\bf \left(-\cfrac{2}{2(-2)}~~,~~3-\cfrac{2^2}{4(-2)}  \right)\implies \left( \cfrac{1}{2}~~,~~3+\cfrac{4}{8} \right)\implies \left(\cfrac{1}{2}~~,~~\cfrac{28}{8}  \right) \\\\\\ \left(\cfrac{1}{2}~~,~~\cfrac{7}{2}  \right)\implies \left(\frac{1}{2}~,~3\frac{1}{2}  \right)

7 0
3 years ago
Danny wants to buy a truck in 4 years. He is going to put away $2,500.00 into his savings account that will pay him 6.75% intere
aniked [119]

Answer:

b $3,272.43

Step-by-step explanation:

A = p(1+r/n)^nt

Where

A= future value

P= principal = $2500

r= interest rate = 6.75% = 0.0675

n = number of periods = 12

t = time = 4 years

A = p(1+r/n)^nt

= 2500(1+0.0675/12)^12*4

= 2500(1+0.005625)^48

= 2500(1.005625)^48

= 2500(1.3089737859257)

= 3272.4344648144

Approximately

A= $3272.43

He will have $3272.43 to give as down payment in 4 years

4 0
3 years ago
What is the approximate value of the y intercept and what does it mean in this example?
nadezda [96]

Answer:

Step-by-step explanation:

By using the utility for the line of best fit,

Equation of the line of best fit will be,

y = 1.5x + 1.32

Here, y - intercept of the line = 1.32

Here, y-intercept represents the amount of bean production when the level of water applied was zero.

7 0
3 years ago
8(7 + 23) = 8(7) + 8(?)
34kurt
Answer: 23

When using multiplication with brackets, you multiply the number by all the numbers within the bracket before adding them together.

Therefore when it is 8(7 + 23) it basically means: 8(7) + 8(23)
7 0
4 years ago
Read 2 more answers
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