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2 years ago

If a=7 and b+c=67, find a²+ab+ac

Mathematics

2 answers:

almond37 [142]2 years ago

7 0

Answer:

$thank \: you$

Step-by-step explanation:

$a = 7 \\ b + c = 67 \\we \: want \: to \: find \: {a}^{2} + ab + ac \\ {a}^{2} + a(b + c) \\ = {7}^{2} + 7(67) \\ = 49 + 469 \\ = 518 \\ thank \: you$

Stels [109]2 years ago

6 0

Hope this will help..........

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The sum of three odd consecutive numbers is fifty-one. What are the numbers?

Fantom [35]

Answer:

15,17,19

Step-by-step explanation:

Make an equation : $x+(x+2)+(x+4)=51$

Solve the equation: $3x+6=51$

$3x=51-6$

$3x=45$

$x=15$

Since x=15 then the second number is 17 and then 19

Hope this helps!

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3 years ago

HELP! PLEASE! I really need help with this question!

LekaFEV [45]

Answer:

They are at the same height at 1.13 seconds.

Step-by-step explanation:

Remark

The rockets are at the same height when f(x) = g(x) [see below] are the same. So you can equate them.

Givens

f(x) = - 16x^2 + 74x + 9

g(x) = -16x^2 + 82x I have changed this so you don't have 2 f(x)s

Solution

f(x) = g(x)
-16x^2 + 74x + 9 = -16x^2 + 82x Add: 16x^2 to both sides
-16x^2+16x^2+74x + 9 = -16x^2+16x^2 + 82x Combine terms
74x + 9 = 82x Subtract 74x from both sides
74x - 74x + 9 = 82x - 74x Combine
9 = 8x Divide by 8
9/8 = 8x/8
x = 1 1/8 Convert to decimal
x = 1.125
x = 1.13 [rounded]

6 0

3 years ago

3. Milo's dog weighs 18.25 pounds. Kristen's dog weighs 2.5 pounds less than Milo's dog. How much does Kristen's dog weigh? (A)

il63 [147K]

Answer:

(B). 15.75

Step-by-step explanation:

If Kristens dog weighs 2.5 pounds less, then you just have to subrtact 2.5 from 18.25

7 0

3 years ago

Read 2 more answers

Let f(x) = x2 − 8x + 5. Find f(−1)

rewona [7]

Answer:

Step-by-step explanation:

$f(x)=x^2-8x+5$

now substitute x for -1

$f(-1)=(-1)^2-8(-1)+5$

now solve

$f(-1)=1+8+5$

$f(-1)=14$

there is your answer! hope this helps! :)

5 0

3 years ago

Read 2 more answers

The graph of g(x) is a transformation of the graph of f(x)=3x. Enter the equation for g(x) in the box. G(x) =.

dalvyx [7]

Function transformation involves changing the form of a function

The function g(x) is $\mathbf{g(x) = 8(2)^x}$

The function is given as:

$\mathbf{f(x) = 3^x}$

g(x) is an exponential function that passes through points (-2,2) and (-1,4).

An exponential function is represented as:

$\mathbf{y = ab^x}$

At point (-2,2), we have:

$\mathbf{2 = ab^{-2}}$

At point (-1,4), we have:

$\mathbf{4 = ab^{-1}}$

Divide both equations

$\mathbf{\frac 42=\frac{ab^{-1}}{ab^{-2}}}$

Simplify

$\mathbf{2=\frac{b^{-1}}{b^{-2}}}$

Apply law of indices

$\mathbf{2=b^{-1+2}}$

$\mathbf{2=b}$

Rewrite as:

$\mathbf{b =2}$

Substitute 2 for b in $\mathbf{2 = ab^{-2}}$

$\mathbf{2 =a(2^{-2})}$

This gives

$\mathbf{2 =a(\frac 14)}$

Multiply both sides by 4

$\mathbf{a = 8}$

Substitute 8 for (a) and 2 for (b) in $\mathbf{y = ab^x}$

$\mathbf{y = 8(2)^x}$

Express as a function

$\mathbf{g(x) = 8(2)^x}$

Hence, the function g(x) is $\mathbf{g(x) = 8(2)^x}$

Read more about exponential functions at:

brainly.com/question/11487261

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3 years ago